The orbital eccentricity of an astronomical object is a parameter that determines the amount by which its orbit around another body deviates from a perfect circle. A value of 0 is a circular orbit, values between 0 and 1 form an elliptical orbit, 1 is a parabolicescape orbit, and greater than 1 is a hyperbola. The term derives its name from the parameters of conic sections, as every Kepler orbit is a conic section. It is normally used for the isolated two-body problem, but extensions exist for objects following a rosette orbit through the galaxy.
In the mathematical field of graph theory, the distance between two vertices in a graph is the number of edges in a shortest path (also called a graph geodesic) connecting them. This is also known as the geodesic distance. Notice that there may be more than one shortest path between two vertices. If there is no path connecting the two vertices, i.e., if they belong to different connected components, then conventionally the distance is defined as infinite.
In the case of a directed graph the distance between two vertices and is defined as the length of a shortest path from to consisting of arcs, provided at least one such path exists. Notice that, in contrast with the case of undirected graphs, does not necessarily coincide with , and it might be the case that one is defined while the other is not.
Related concepts
A metric space defined over a set of points in terms of distances in a graph defined over the set is called a graph metric.
The vertex set (of an undirected graph) and the distance function form a metric space, if and only if the graph is connected.
Planetary orbits are elliptical because gravitational interaction over time changes the delicate balance of mass, velocity and distance from the star which otherwise keeps planetary orbit circular.
For a very long time, from Ptolemy to the age of Copernicus, it was widely believed and accepted that planets in our Solar System revolved in a perfectly circular path. Because the circle was presumed to be an ideal shape for planetary bodies to orbit. But then in the seventeenth century in his seminal book Astronomia Nova, Johannes Kepler rebutted this very idea. He put forth his own theory pertaining to planetary motion. He theorized that planetary bodies orbit in an elliptical path with the Sun sitting at one of the foci of that ellipse. In this video we will try to understand what makes thes...
published: 13 Nov 2020
What is eccentricity?
It's simple explanation about term eccentricity and your support to this video encourage me to explain more such terms so please like share and subscribe...
If you actually want this video in hindi , then please comment "hindi" ..more the comments earlier the next video : ). ...
Stay connected at Instagram: https://www.instagram.com/puzzling_physics/
published: 16 Oct 2020
Physics 18 Gravity (11 of 20) Eccentricity Of A Planet's Orbits
Visit http://ilectureonline.com for more math and science lectures!
In this video I will show you how to calculate the eccentricity of a planets orbit using Keppler's 1st law.
Short video showing variations in obliquity, eccentricity, precession, put together they form the Milankovitch Cycles, related to the great trends in climate. Obliquity varies between 22.1° and 24.5° and takes 40,000 years to complete a full cycle (as axial tilt increases, winters are colder in both hemispheres.). Earth's eccentricity varies from near circular orbit to a more elliptical one, due to gravitational pull of neighboring planets, mostly Venus and Jupiter (the closer to the sun, the more solar radiation), in a 100,000 years cycle. Axial precession is the movement of the rotation axis of Earth, in a 26,000 years cycle, altering perihelion and aphelion, increasing seasonal differences from one hemisphere to the other. Finally, apsidal precession (shown at the right lower corner) is...
published: 27 Oct 2019
Astronomy - Ch. 7: The Solar Sys - Comparative Planetology (15 of 33) Planet Orbital Eccentricity
Visit http://ilectureonline.com for more math and science lectures!
In this video I will discuss the various orbital eccentricities of the planets in our Solar System.
Next video in this series can be seen at:
http://youtu.be/igAZ0bSyi2c
published: 24 Feb 2015
Axial tilt, Eccentricity, Ecliptic plane & Orbital inclination
An explanation of the following terms in orbital dynamics:
axial tilt, eccentricity, ecliptic plane, & orbital inclination.
It includes the planets & some solar system objects' axial tilts, eccentricities & orbital inclinations.
(If you haven't yet, please subscribe to my channel to support me in creating more videos.)
Contents (start time):
• Axial Tilt (0:11)
• Eccentricity (1:39)
• Ecliptic plane (4:11)
• Orbital inclination (4:59)
• Ecliptic plane & Orbital inclination (5:16)
Primary source:
NASA
CTTO of other sources & multimedia resources.
Music:
Summer by Benjamin Tissot
Music by: Bensound
published: 05 Jan 2023
Climate Dynamics Part 3 | Changes in Earth's Orbit (Milankovitch Cycles - Eccentricity)
Earth's natural climate cycles caused by changes to its orbit are called Milankovitch cycles. Come learn about how the eccentricity of Earth's orbit tends to lead to ice ages (but not for, like another 100,000 years).
There are three components to Milankovitch, this is the first! Next two episodes will address the other two.
Want to learn more? https://climate.nasa.gov/news/2948/milankovitch-orbital-cycles-and-their-role-in-earths-climate/
published: 09 Dec 2020
Resonant Dwarf Planet Orbits
In which I show you how to construct orbits for Resonant Dwarf/Kuiper Belt objects. Topics discussed in this video include mean motion resonances (1st order and beyond), the kuiper belt; plutinos, twotinos and other trans-Neptunian objects, and finally the classical/Keplerian orbital elements these types of objects.
—————
Artifexian on the Interweb:
Youtube: https://www.youtube.com/artifexian
Facebook: https://www.facebook.com/artifexian
Twitter: https://www.twitter.com/artifexian
Blog: http://www.scifiideas.com
—————
LINKS + FURTHER READING:
HOW TO BUILD AN ORBIT: http://goo.gl/Ksby80
List of Resonance (p.49): http://goo.gl/Ll6em4
Kuiper Belt: http://goo.gl/l8VSct
Orbital Resonances: http://goo.gl/h7QqEn
Resonant trans-Neptunian Objects: http://goo.gl/WfaVFF
Plutinos: http://goo.gl/...
published: 23 Mar 2015
Teach Astronomy - Orbit Eccentricity
http://www.teachastronomy.com/
Orbital eccentricity is the amount by which an orbit deviates from a circle. Mathematically it's defined as the distance between the two foci of an elliptical orbit divided by the major axis. A circle has an ellipticity, denoted by the little symbol "e", of zero. In the solar system most of the planets have small eccentricity and are close to circular. Eccentricity of the Earth's orbit is 0.017, one and a half percent. The only two planets where the orbital eccentricity is above ten percent are Pluto, with an eccentricity of 0.25 and Mercury with an eccentricity of 0.21. These large numbers probably indicate interactions during the history of the solar system with large bodies or perhaps in the case of Pluto capture from a distant region of space.
published: 08 Jul 2010
Relationship Between Eccentricity, Semi-Major & Semi-Minor Axis
Planetary orbits are elliptical because gravitational interaction over time changes the delicate balance of mass, velocity and distance from the star which othe...
Planetary orbits are elliptical because gravitational interaction over time changes the delicate balance of mass, velocity and distance from the star which otherwise keeps planetary orbit circular.
For a very long time, from Ptolemy to the age of Copernicus, it was widely believed and accepted that planets in our Solar System revolved in a perfectly circular path. Because the circle was presumed to be an ideal shape for planetary bodies to orbit. But then in the seventeenth century in his seminal book Astronomia Nova, Johannes Kepler rebutted this very idea. He put forth his own theory pertaining to planetary motion. He theorized that planetary bodies orbit in an elliptical path with the Sun sitting at one of the foci of that ellipse. In this video we will try to understand what makes these planetary orbits elliptical.
References:
https://www.nasa.gov/audience/forstudents/5-8/features/nasa-knows/what-is-orbit-58.html
http://www.cso.caltech.edu/outreach/log/NIGHT_DAY/elliptical.htm
https://nssdc.gsfc.nasa.gov/planetary/factsheet/
#science #funfacts #ellipticalorbits
Original Article Link: https://www.scienceabc.com/nature/universe/planetary-orbits-elliptical-not-circular.html
If you wish to buy/license this video, please write to us at [email protected].
Voice Over Artist: John Staughton ( https://www.fiverr.com/jswildwood )
SUBSCRIBE to get more such science videos!
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https://facebook.com/sciabc
Follow our Website!
https://www.scienceabc.com
Planetary orbits are elliptical because gravitational interaction over time changes the delicate balance of mass, velocity and distance from the star which otherwise keeps planetary orbit circular.
For a very long time, from Ptolemy to the age of Copernicus, it was widely believed and accepted that planets in our Solar System revolved in a perfectly circular path. Because the circle was presumed to be an ideal shape for planetary bodies to orbit. But then in the seventeenth century in his seminal book Astronomia Nova, Johannes Kepler rebutted this very idea. He put forth his own theory pertaining to planetary motion. He theorized that planetary bodies orbit in an elliptical path with the Sun sitting at one of the foci of that ellipse. In this video we will try to understand what makes these planetary orbits elliptical.
References:
https://www.nasa.gov/audience/forstudents/5-8/features/nasa-knows/what-is-orbit-58.html
http://www.cso.caltech.edu/outreach/log/NIGHT_DAY/elliptical.htm
https://nssdc.gsfc.nasa.gov/planetary/factsheet/
#science #funfacts #ellipticalorbits
Original Article Link: https://www.scienceabc.com/nature/universe/planetary-orbits-elliptical-not-circular.html
If you wish to buy/license this video, please write to us at [email protected].
Voice Over Artist: John Staughton ( https://www.fiverr.com/jswildwood )
SUBSCRIBE to get more such science videos!
https://www.youtube.com/channel/UCcN3IuIAR6Fn74FWMQf6lFA?sub_confirmation=1
Follow us on Twitter!
https://twitter.com/abc_science
Follow us on Facebook!
https://facebook.com/sciabc
Follow our Website!
https://www.scienceabc.com
It's simple explanation about term eccentricity and your support to this video encourage me to explain more such terms so please like share and subscribe...
If...
It's simple explanation about term eccentricity and your support to this video encourage me to explain more such terms so please like share and subscribe...
If you actually want this video in hindi , then please comment "hindi" ..more the comments earlier the next video : ). ...
Stay connected at Instagram: https://www.instagram.com/puzzling_physics/
It's simple explanation about term eccentricity and your support to this video encourage me to explain more such terms so please like share and subscribe...
If you actually want this video in hindi , then please comment "hindi" ..more the comments earlier the next video : ). ...
Stay connected at Instagram: https://www.instagram.com/puzzling_physics/
Visit http://ilectureonline.com for more math and science lectures!
In this video I will show you how to calculate the eccentricity of a planets orbit using Ke...
Visit http://ilectureonline.com for more math and science lectures!
In this video I will show you how to calculate the eccentricity of a planets orbit using Keppler's 1st law.
Visit http://ilectureonline.com for more math and science lectures!
In this video I will show you how to calculate the eccentricity of a planets orbit using Keppler's 1st law.
Short video showing variations in obliquity, eccentricity, precession, put together they form the Milankovitch Cycles, related to the great trends in climate. O...
Short video showing variations in obliquity, eccentricity, precession, put together they form the Milankovitch Cycles, related to the great trends in climate. Obliquity varies between 22.1° and 24.5° and takes 40,000 years to complete a full cycle (as axial tilt increases, winters are colder in both hemispheres.). Earth's eccentricity varies from near circular orbit to a more elliptical one, due to gravitational pull of neighboring planets, mostly Venus and Jupiter (the closer to the sun, the more solar radiation), in a 100,000 years cycle. Axial precession is the movement of the rotation axis of Earth, in a 26,000 years cycle, altering perihelion and aphelion, increasing seasonal differences from one hemisphere to the other. Finally, apsidal precession (shown at the right lower corner) is the gradual rotation of the orbit over time, with a period of 100,000 years.
see figure at http://commons.wikimedia.org/wiki/File%3AMilankovitch_Variations.png
Short video showing variations in obliquity, eccentricity, precession, put together they form the Milankovitch Cycles, related to the great trends in climate. Obliquity varies between 22.1° and 24.5° and takes 40,000 years to complete a full cycle (as axial tilt increases, winters are colder in both hemispheres.). Earth's eccentricity varies from near circular orbit to a more elliptical one, due to gravitational pull of neighboring planets, mostly Venus and Jupiter (the closer to the sun, the more solar radiation), in a 100,000 years cycle. Axial precession is the movement of the rotation axis of Earth, in a 26,000 years cycle, altering perihelion and aphelion, increasing seasonal differences from one hemisphere to the other. Finally, apsidal precession (shown at the right lower corner) is the gradual rotation of the orbit over time, with a period of 100,000 years.
see figure at http://commons.wikimedia.org/wiki/File%3AMilankovitch_Variations.png
Visit http://ilectureonline.com for more math and science lectures!
In this video I will discuss the various orbital eccentricities of the planets in our Solar...
Visit http://ilectureonline.com for more math and science lectures!
In this video I will discuss the various orbital eccentricities of the planets in our Solar System.
Next video in this series can be seen at:
http://youtu.be/igAZ0bSyi2c
Visit http://ilectureonline.com for more math and science lectures!
In this video I will discuss the various orbital eccentricities of the planets in our Solar System.
Next video in this series can be seen at:
http://youtu.be/igAZ0bSyi2c
An explanation of the following terms in orbital dynamics:
axial tilt, eccentricity, ecliptic plane, & orbital inclination.
It includes the planets & some solar...
An explanation of the following terms in orbital dynamics:
axial tilt, eccentricity, ecliptic plane, & orbital inclination.
It includes the planets & some solar system objects' axial tilts, eccentricities & orbital inclinations.
(If you haven't yet, please subscribe to my channel to support me in creating more videos.)
Contents (start time):
• Axial Tilt (0:11)
• Eccentricity (1:39)
• Ecliptic plane (4:11)
• Orbital inclination (4:59)
• Ecliptic plane & Orbital inclination (5:16)
Primary source:
NASA
CTTO of other sources & multimedia resources.
Music:
Summer by Benjamin Tissot
Music by: Bensound
An explanation of the following terms in orbital dynamics:
axial tilt, eccentricity, ecliptic plane, & orbital inclination.
It includes the planets & some solar system objects' axial tilts, eccentricities & orbital inclinations.
(If you haven't yet, please subscribe to my channel to support me in creating more videos.)
Contents (start time):
• Axial Tilt (0:11)
• Eccentricity (1:39)
• Ecliptic plane (4:11)
• Orbital inclination (4:59)
• Ecliptic plane & Orbital inclination (5:16)
Primary source:
NASA
CTTO of other sources & multimedia resources.
Music:
Summer by Benjamin Tissot
Music by: Bensound
Earth's natural climate cycles caused by changes to its orbit are called Milankovitch cycles. Come learn about how the eccentricity of Earth's orbit tends to le...
Earth's natural climate cycles caused by changes to its orbit are called Milankovitch cycles. Come learn about how the eccentricity of Earth's orbit tends to lead to ice ages (but not for, like another 100,000 years).
There are three components to Milankovitch, this is the first! Next two episodes will address the other two.
Want to learn more? https://climate.nasa.gov/news/2948/milankovitch-orbital-cycles-and-their-role-in-earths-climate/
Earth's natural climate cycles caused by changes to its orbit are called Milankovitch cycles. Come learn about how the eccentricity of Earth's orbit tends to lead to ice ages (but not for, like another 100,000 years).
There are three components to Milankovitch, this is the first! Next two episodes will address the other two.
Want to learn more? https://climate.nasa.gov/news/2948/milankovitch-orbital-cycles-and-their-role-in-earths-climate/
In which I show you how to construct orbits for Resonant Dwarf/Kuiper Belt objects. Topics discussed in this video include mean motion resonances (1st order and...
In which I show you how to construct orbits for Resonant Dwarf/Kuiper Belt objects. Topics discussed in this video include mean motion resonances (1st order and beyond), the kuiper belt; plutinos, twotinos and other trans-Neptunian objects, and finally the classical/Keplerian orbital elements these types of objects.
—————
Artifexian on the Interweb:
Youtube: https://www.youtube.com/artifexian
Facebook: https://www.facebook.com/artifexian
Twitter: https://www.twitter.com/artifexian
Blog: http://www.scifiideas.com
—————
LINKS + FURTHER READING:
HOW TO BUILD AN ORBIT: http://goo.gl/Ksby80
List of Resonance (p.49): http://goo.gl/Ll6em4
Kuiper Belt: http://goo.gl/l8VSct
Orbital Resonances: http://goo.gl/h7QqEn
Resonant trans-Neptunian Objects: http://goo.gl/WfaVFF
Plutinos: http://goo.gl/gtl4a0
----------
SYSTEM STATS:
Star:
Mass = 1 Solar Mass
Gas Giant (Orbital Characteristics):
Semi-Major Axis: 21.54 AU
Orbital Eccentricity: 0.001
Periapsis: 21.51846 AU
Apoapsis: 21.56154
Orbital Period: 100 earth years
Inclination: 1 degree
Longitude of the ascending node: 200 degrees
Argument of periapsis: 150 degrees
PLUTINO (Orbital Characteristics):
Semi-Major Axis: 28.2423 AU
Orbital Eccentricity: 0.25
Periapsis: 21.17 AU (Inside my gas giants orbit!)
Apoapsis: 35.29 AU
Orbital Period: 150 earth years - (2:3 Mean Motion Resonance)
Inclination: 13 degree
Longitude of the ascending node: 100 degrees
Argument of periapsis: 300 degrees
—————
In which I show you how to construct orbits for Resonant Dwarf/Kuiper Belt objects. Topics discussed in this video include mean motion resonances (1st order and beyond), the kuiper belt; plutinos, twotinos and other trans-Neptunian objects, and finally the classical/Keplerian orbital elements these types of objects.
—————
Artifexian on the Interweb:
Youtube: https://www.youtube.com/artifexian
Facebook: https://www.facebook.com/artifexian
Twitter: https://www.twitter.com/artifexian
Blog: http://www.scifiideas.com
—————
LINKS + FURTHER READING:
HOW TO BUILD AN ORBIT: http://goo.gl/Ksby80
List of Resonance (p.49): http://goo.gl/Ll6em4
Kuiper Belt: http://goo.gl/l8VSct
Orbital Resonances: http://goo.gl/h7QqEn
Resonant trans-Neptunian Objects: http://goo.gl/WfaVFF
Plutinos: http://goo.gl/gtl4a0
----------
SYSTEM STATS:
Star:
Mass = 1 Solar Mass
Gas Giant (Orbital Characteristics):
Semi-Major Axis: 21.54 AU
Orbital Eccentricity: 0.001
Periapsis: 21.51846 AU
Apoapsis: 21.56154
Orbital Period: 100 earth years
Inclination: 1 degree
Longitude of the ascending node: 200 degrees
Argument of periapsis: 150 degrees
PLUTINO (Orbital Characteristics):
Semi-Major Axis: 28.2423 AU
Orbital Eccentricity: 0.25
Periapsis: 21.17 AU (Inside my gas giants orbit!)
Apoapsis: 35.29 AU
Orbital Period: 150 earth years - (2:3 Mean Motion Resonance)
Inclination: 13 degree
Longitude of the ascending node: 100 degrees
Argument of periapsis: 300 degrees
—————
http://www.teachastronomy.com/
Orbital eccentricity is the amount by which an orbit deviates from a circle. Mathematically it's defined as the distance between...
http://www.teachastronomy.com/
Orbital eccentricity is the amount by which an orbit deviates from a circle. Mathematically it's defined as the distance between the two foci of an elliptical orbit divided by the major axis. A circle has an ellipticity, denoted by the little symbol "e", of zero. In the solar system most of the planets have small eccentricity and are close to circular. Eccentricity of the Earth's orbit is 0.017, one and a half percent. The only two planets where the orbital eccentricity is above ten percent are Pluto, with an eccentricity of 0.25 and Mercury with an eccentricity of 0.21. These large numbers probably indicate interactions during the history of the solar system with large bodies or perhaps in the case of Pluto capture from a distant region of space.
http://www.teachastronomy.com/
Orbital eccentricity is the amount by which an orbit deviates from a circle. Mathematically it's defined as the distance between the two foci of an elliptical orbit divided by the major axis. A circle has an ellipticity, denoted by the little symbol "e", of zero. In the solar system most of the planets have small eccentricity and are close to circular. Eccentricity of the Earth's orbit is 0.017, one and a half percent. The only two planets where the orbital eccentricity is above ten percent are Pluto, with an eccentricity of 0.25 and Mercury with an eccentricity of 0.21. These large numbers probably indicate interactions during the history of the solar system with large bodies or perhaps in the case of Pluto capture from a distant region of space.
19. Distance, Eccentricity, Diameter, Radius with example
This video explain how we calculate distance, eccentricity , radius and diameter of a graph.
published: 17 Jan 2018
Dijkstras Shortest Path Algorithm Explained | With Example | Graph Theory
I explain Dijkstra's Shortest Path Algorithm with the help of an example.
This algorithm can be used to calculate the shortest distance between one node and every other node in a weighted graph.
If you want to learn more about algorithms, check out my Basic Algorithms in Python Playlist and subscribe to this channel.
published: 26 Sep 2020
Diameter of a Graph | Graph Theory
What is the diameter of a graph in graph theory? This is a simple term we will define with examples in today's video graph theory lesson!
Remember that the distance between two connected vertices in a graph is the length of a shortest path between those vertices. Here's my lesson on distance between vertices: https://www.youtube.com/watch?v=ZmakwnZv-qo
Of all distances between pairs of vertices in a connected graph, the greatest distance is the diameter of the graph, written diam(G) for a graph G. In other words, the diameter of a connected graph G is the greatest distance (number of edges) necessary to travel between any pair of vertices in G.
I hope you find this video helpful, and be sure to ask any questions down in the comments!
***********************************************...
published: 29 Apr 2020
GCSE Physics - Distance-Time Graphs #53
This video covers:
- How to interpret distance-time graphs
- How to calculate speed on a distance-time graph
- What the gradient of the line means
- Drawing a tangent
General info:
- Suitable for all GCSE and IGCSE courses
- See below for whether it is higher or foundation tier for your exam board
- See below for whether it is triple or combined for your exam board
Exam board specific info:
AQA - Everything is relevant to your course!
IGCSE Edexcel - Separate science and higher tier only
Edexcel - Everything is relevant to your course!
OCR 21st Century - Everything is relevant to your course!
OCR Gateway - Everything is relevant to your course!
GCSE Chemistry playlist:
https://www.youtube.com/watch?v=fN8kH9Vvqo0&list=PLidqqIGKox7WeOKVGHxcd69kKqtwrKl8W
GCSE Biology Playlist:
https:/...
published: 03 Dec 2019
Distance Between Two Vertices in Graphs | Graph Theory
What is the distance between two vertices in graph theory? We'll define vertex distance in graph theory, as well as defining graph geodiscs and graph diameter in today's lesson!
The distance between two connected vertices is the length of a shortest path connecting them. The distance between vertices u and v is denoted d(u,v). A shortest u-v path, that is: a u-v path with length d(u,v) is called a u-v geodesic.
The greatest distance between any two vertices in a graph is called the diameter of the graph. If two vertices are not connected, their distance is undefined. If two vertices are adjacent, their distance is 1 because a path of length one exists going from one vertex straight to the other in only 1 edge. The distance from a vertex to itself is 0 because the trivial path - a path wi...
published: 21 Dec 2019
Distance Time Graphs | Geometry | Maths | FuseSchool
Distance Time Graphs | Geometry | Maths | FuseSchool
CREDITS
Animation & Design: Waldi Apollis
Narration: Dale Bennett
Script: Joe Lewis
SUBSCRIBE to the FuseSchool YouTube channel for many more educational videos. Our teachers and animators come together to make fun & easy-to-understand videos in Chemistry, Biology, Physics, Maths & ICT.
VISIT us at www.fuseschool.org, where all of our videos are carefully organised into topics and specific orders, and to see what else we have on offer. Comment, like and share with other learners. You can both ask and answer questions, and teachers will get back to you.
These videos can be used in a flipped classroom model or as a revision aid.
Find all of our Chemistry videos here: https://www.youtube.com/playlist?list=PLW0gavSzhMlReKGMVfUt6YuNQsO0...
published: 19 Sep 2019
Graph Theory: 51. Eccentricity, Radius & Diameter
Eccentricity, radius and diameter are terms that are used often in graph theory. They are related to the concept of the distance between vertices. The distance between a pair of vertices is the length of a shortest path between them. We begin by reviewing some of the properties of distance in graphs. Then we define the eccentricity of a vertex (which is the maximum distance from it to any other vertex in the graph), the diameter of a graph (the maximum eccentricity) and the radius of a graph (the minimum eccentricity). We use two examples to illustrate these concepts. Furthermore, the periphery and centre of a graph are the set of vertices whose eccentricity is the diameter and radius, respectively. Notice that the examples used in the video are very small and so the vertices are ei...
published: 05 Feb 2015
Distance and Eccentricity in Graph Theory | By :- Harendra Sharma
In this lecture we are going to learn about Distance and Eccentricity in a graph i.e
How to find distance between any two vertex.
What is the Eccentricity of a vertex in a graph.
Distance between two vertex
Eccentricity of vertex.
What is Path : https://youtu.be/1sYjMfdT94k
#DistanceBetweenTwoVertex
#EccentricityOfVertex
#Path
For more videos
Subscribe
Bhai Bhai Tutorials
By- Harendra Sharma
published: 10 Apr 2020
""DISTANCE /ECCENTRICITY /DIAMETER" IN GRAPH THEORY
PERSONAL TUTOR IS ONE OF THE PIONEER IN THE FIELD OF EDUCATION WHICH PROVIDES EDUCATIONAL SERVICES PAN INDIA WITH THE HELP OF ITS 500 ACTIVE TEACHERS WE ASPIRE TO FLOURISH A NEW WAVE OF MODERNITY IN THE FIELD OF EDUCATION KINDLY SUBSCRIBE OUR CHANNEL TO BE A PART OF THIS EDUCATION HUB
published: 16 May 2019
Distance calculation in Graph (with Examples ) |Graph Theory
This video is about the calculation of distance in graphs of graph theory.
It is explained with various examples.
It will be useful for students preparing for SET | NET | GATE | TRB polytechnic CS exams.
It will be useful for students pursuing engineering, B.Sc Maths, M.Sc maths and students preparing for other math competitive exams.
It is also useful in the preparation for PGTRB exams.
Graph theory playlist : https://www.youtube.com/watch?v=uuVh_dTJbJ4&list=PLJBJROPVF-MVffgeWc0wbAkwE3C3NBIxS
Our Other Playlists :
Linear Algebra : https://www.youtube.com/watch?v=2yXHfnX7Mi4&list=PLJBJROPVF-MUPjTSAfJ45SOb_4x75m3ic
Math Problem Solving Techniques : https://www.youtube.com/watch?v=ldYIs4fRxKo&list=PLJBJROPVF-MXmkys1e4M7-mXe5-KcNosy
Sudoku : https://www.youtube.com/watch?v=oIQ1...
I explain Dijkstra's Shortest Path Algorithm with the help of an example.
This algorithm can be used to calculate the shortest distance between one node and eve...
I explain Dijkstra's Shortest Path Algorithm with the help of an example.
This algorithm can be used to calculate the shortest distance between one node and every other node in a weighted graph.
If you want to learn more about algorithms, check out my Basic Algorithms in Python Playlist and subscribe to this channel.
I explain Dijkstra's Shortest Path Algorithm with the help of an example.
This algorithm can be used to calculate the shortest distance between one node and every other node in a weighted graph.
If you want to learn more about algorithms, check out my Basic Algorithms in Python Playlist and subscribe to this channel.
What is the diameter of a graph in graph theory? This is a simple term we will define with examples in today's video graph theory lesson!
Remember that the di...
What is the diameter of a graph in graph theory? This is a simple term we will define with examples in today's video graph theory lesson!
Remember that the distance between two connected vertices in a graph is the length of a shortest path between those vertices. Here's my lesson on distance between vertices: https://www.youtube.com/watch?v=ZmakwnZv-qo
Of all distances between pairs of vertices in a connected graph, the greatest distance is the diameter of the graph, written diam(G) for a graph G. In other words, the diameter of a connected graph G is the greatest distance (number of edges) necessary to travel between any pair of vertices in G.
I hope you find this video helpful, and be sure to ask any questions down in the comments!
********************************************************************
The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.
Vallow Bandcamp: https://vallow.bandcamp.com/
Vallow Spotify: https://open.spotify.com/artist/0fRtulS8R2Sr0nkRLJJ6eW
Vallow SoundCloud: https://soundcloud.com/benwatts-3
********************************************************************
+WRATH OF MATH+
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What is the diameter of a graph in graph theory? This is a simple term we will define with examples in today's video graph theory lesson!
Remember that the distance between two connected vertices in a graph is the length of a shortest path between those vertices. Here's my lesson on distance between vertices: https://www.youtube.com/watch?v=ZmakwnZv-qo
Of all distances between pairs of vertices in a connected graph, the greatest distance is the diameter of the graph, written diam(G) for a graph G. In other words, the diameter of a connected graph G is the greatest distance (number of edges) necessary to travel between any pair of vertices in G.
I hope you find this video helpful, and be sure to ask any questions down in the comments!
********************************************************************
The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.
Vallow Bandcamp: https://vallow.bandcamp.com/
Vallow Spotify: https://open.spotify.com/artist/0fRtulS8R2Sr0nkRLJJ6eW
Vallow SoundCloud: https://soundcloud.com/benwatts-3
********************************************************************
+WRATH OF MATH+
◆ Support Wrath of Math on Patreon: https://www.patreon.com/wrathofmathlessons
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This video covers:
- How to interpret distance-time graphs
- How to calculate speed on a distance-time graph
- What the gradient of the line means
- Drawing a t...
This video covers:
- How to interpret distance-time graphs
- How to calculate speed on a distance-time graph
- What the gradient of the line means
- Drawing a tangent
General info:
- Suitable for all GCSE and IGCSE courses
- See below for whether it is higher or foundation tier for your exam board
- See below for whether it is triple or combined for your exam board
Exam board specific info:
AQA - Everything is relevant to your course!
IGCSE Edexcel - Separate science and higher tier only
Edexcel - Everything is relevant to your course!
OCR 21st Century - Everything is relevant to your course!
OCR Gateway - Everything is relevant to your course!
GCSE Chemistry playlist:
https://www.youtube.com/watch?v=fN8kH9Vvqo0&list=PLidqqIGKox7WeOKVGHxcd69kKqtwrKl8W
GCSE Biology Playlist:
https://www.youtube.com/watch?v=--dIBinUdeU&list=PLidqqIGKox7X5UFT-expKIuR-i-BN3Q1g
GCSE Physics Playlist:
https://www.youtube.com/watch?v=aHVJfRxeAxo&list=PLidqqIGKox7UVC-8WC9djoeBzwxPeXph7
This video covers:
- How to interpret distance-time graphs
- How to calculate speed on a distance-time graph
- What the gradient of the line means
- Drawing a tangent
General info:
- Suitable for all GCSE and IGCSE courses
- See below for whether it is higher or foundation tier for your exam board
- See below for whether it is triple or combined for your exam board
Exam board specific info:
AQA - Everything is relevant to your course!
IGCSE Edexcel - Separate science and higher tier only
Edexcel - Everything is relevant to your course!
OCR 21st Century - Everything is relevant to your course!
OCR Gateway - Everything is relevant to your course!
GCSE Chemistry playlist:
https://www.youtube.com/watch?v=fN8kH9Vvqo0&list=PLidqqIGKox7WeOKVGHxcd69kKqtwrKl8W
GCSE Biology Playlist:
https://www.youtube.com/watch?v=--dIBinUdeU&list=PLidqqIGKox7X5UFT-expKIuR-i-BN3Q1g
GCSE Physics Playlist:
https://www.youtube.com/watch?v=aHVJfRxeAxo&list=PLidqqIGKox7UVC-8WC9djoeBzwxPeXph7
What is the distance between two vertices in graph theory? We'll define vertex distance in graph theory, as well as defining graph geodiscs and graph diameter i...
What is the distance between two vertices in graph theory? We'll define vertex distance in graph theory, as well as defining graph geodiscs and graph diameter in today's lesson!
The distance between two connected vertices is the length of a shortest path connecting them. The distance between vertices u and v is denoted d(u,v). A shortest u-v path, that is: a u-v path with length d(u,v) is called a u-v geodesic.
The greatest distance between any two vertices in a graph is called the diameter of the graph. If two vertices are not connected, their distance is undefined. If two vertices are adjacent, their distance is 1 because a path of length one exists going from one vertex straight to the other in only 1 edge. The distance from a vertex to itself is 0 because the trivial path - a path with length zero - goes from a vertex to itself.
I hope you find this video helpful, and be sure to ask any questions down in the comments!
+WRATH OF MATH+
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What is the distance between two vertices in graph theory? We'll define vertex distance in graph theory, as well as defining graph geodiscs and graph diameter in today's lesson!
The distance between two connected vertices is the length of a shortest path connecting them. The distance between vertices u and v is denoted d(u,v). A shortest u-v path, that is: a u-v path with length d(u,v) is called a u-v geodesic.
The greatest distance between any two vertices in a graph is called the diameter of the graph. If two vertices are not connected, their distance is undefined. If two vertices are adjacent, their distance is 1 because a path of length one exists going from one vertex straight to the other in only 1 edge. The distance from a vertex to itself is 0 because the trivial path - a path with length zero - goes from a vertex to itself.
I hope you find this video helpful, and be sure to ask any questions down in the comments!
+WRATH OF MATH+
◆ Support Wrath of Math on Patreon: https://www.patreon.com/wrathofmathlessons
Follow Wrath of Math on...
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Distance Time Graphs | Geometry | Maths | FuseSchool
CREDITS
Animation & Design: Waldi Apollis
Narration: Dale Bennett
Script: Joe Lewis
SUBSCRIBE to the Fuse...
Distance Time Graphs | Geometry | Maths | FuseSchool
CREDITS
Animation & Design: Waldi Apollis
Narration: Dale Bennett
Script: Joe Lewis
SUBSCRIBE to the FuseSchool YouTube channel for many more educational videos. Our teachers and animators come together to make fun & easy-to-understand videos in Chemistry, Biology, Physics, Maths & ICT.
VISIT us at www.fuseschool.org, where all of our videos are carefully organised into topics and specific orders, and to see what else we have on offer. Comment, like and share with other learners. You can both ask and answer questions, and teachers will get back to you.
These videos can be used in a flipped classroom model or as a revision aid.
Find all of our Chemistry videos here: https://www.youtube.com/playlist?list=PLW0gavSzhMlReKGMVfUt6YuNQsO0bqSMV
Find all of our Biology videos here: https://www.youtube.com/playlist?list=PLW0gavSzhMlQYSpKryVcEr3ERup5SxHl0
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This is an Open Educational Resource. If you would like to use the video, please contact us: [email protected]
Distance Time Graphs | Geometry | Maths | FuseSchool
CREDITS
Animation & Design: Waldi Apollis
Narration: Dale Bennett
Script: Joe Lewis
SUBSCRIBE to the FuseSchool YouTube channel for many more educational videos. Our teachers and animators come together to make fun & easy-to-understand videos in Chemistry, Biology, Physics, Maths & ICT.
VISIT us at www.fuseschool.org, where all of our videos are carefully organised into topics and specific orders, and to see what else we have on offer. Comment, like and share with other learners. You can both ask and answer questions, and teachers will get back to you.
These videos can be used in a flipped classroom model or as a revision aid.
Find all of our Chemistry videos here: https://www.youtube.com/playlist?list=PLW0gavSzhMlReKGMVfUt6YuNQsO0bqSMV
Find all of our Biology videos here: https://www.youtube.com/playlist?list=PLW0gavSzhMlQYSpKryVcEr3ERup5SxHl0
Find all of our Physics videos here: https://www.youtube.com/playlist?list=PLW0gavSzhMlTWm6Sr5uN2Uv5TXHiZUq8b
Find all of our Maths videos here: https://www.youtube.com/playlist?list=PLW0gavSzhMlTKBNbHH5u1SNnsrOaacKLu
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This is an Open Educational Resource. If you would like to use the video, please contact us: [email protected]
Eccentricity, radius and diameter are terms that are used often in graph theory. They are related to the concept of the distance between vertices. The distanc...
Eccentricity, radius and diameter are terms that are used often in graph theory. They are related to the concept of the distance between vertices. The distance between a pair of vertices is the length of a shortest path between them. We begin by reviewing some of the properties of distance in graphs. Then we define the eccentricity of a vertex (which is the maximum distance from it to any other vertex in the graph), the diameter of a graph (the maximum eccentricity) and the radius of a graph (the minimum eccentricity). We use two examples to illustrate these concepts. Furthermore, the periphery and centre of a graph are the set of vertices whose eccentricity is the diameter and radius, respectively. Notice that the examples used in the video are very small and so the vertices are either in the periphery or centre, but notice that in general there may be many vertices which lie in neither the periphery or the centre.
-- Bits of Graph Theory by Dr. Sarada Herke.
Related videos:
http://youtu.be/BEyuUXQs5ko - Graph Theory: 05. Connected and Regular Graphs
http://youtu.be/03PUwWef2Dg - Graph Theory: 50. Maximum vs Maximal
For quick videos about Math tips and useful facts, check out my other channel
"Spoonful of Maths" - http://youtube.com/spoonfulofmaths
Eccentricity, radius and diameter are terms that are used often in graph theory. They are related to the concept of the distance between vertices. The distance between a pair of vertices is the length of a shortest path between them. We begin by reviewing some of the properties of distance in graphs. Then we define the eccentricity of a vertex (which is the maximum distance from it to any other vertex in the graph), the diameter of a graph (the maximum eccentricity) and the radius of a graph (the minimum eccentricity). We use two examples to illustrate these concepts. Furthermore, the periphery and centre of a graph are the set of vertices whose eccentricity is the diameter and radius, respectively. Notice that the examples used in the video are very small and so the vertices are either in the periphery or centre, but notice that in general there may be many vertices which lie in neither the periphery or the centre.
-- Bits of Graph Theory by Dr. Sarada Herke.
Related videos:
http://youtu.be/BEyuUXQs5ko - Graph Theory: 05. Connected and Regular Graphs
http://youtu.be/03PUwWef2Dg - Graph Theory: 50. Maximum vs Maximal
For quick videos about Math tips and useful facts, check out my other channel
"Spoonful of Maths" - http://youtube.com/spoonfulofmaths
In this lecture we are going to learn about Distance and Eccentricity in a graph i.e
How to find distance between any two vertex.
What is the Eccentricity of a...
In this lecture we are going to learn about Distance and Eccentricity in a graph i.e
How to find distance between any two vertex.
What is the Eccentricity of a vertex in a graph.
Distance between two vertex
Eccentricity of vertex.
What is Path : https://youtu.be/1sYjMfdT94k
#DistanceBetweenTwoVertex
#EccentricityOfVertex
#Path
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By- Harendra Sharma
In this lecture we are going to learn about Distance and Eccentricity in a graph i.e
How to find distance between any two vertex.
What is the Eccentricity of a vertex in a graph.
Distance between two vertex
Eccentricity of vertex.
What is Path : https://youtu.be/1sYjMfdT94k
#DistanceBetweenTwoVertex
#EccentricityOfVertex
#Path
For more videos
Subscribe
Bhai Bhai Tutorials
By- Harendra Sharma
PERSONAL TUTOR IS ONE OF THE PIONEER IN THE FIELD OF EDUCATION WHICH PROVIDES EDUCATIONAL SERVICES PAN INDIA WITH THE HELP OF ITS 500 ACTIVE TEACHERS WE ASPIRE ...
PERSONAL TUTOR IS ONE OF THE PIONEER IN THE FIELD OF EDUCATION WHICH PROVIDES EDUCATIONAL SERVICES PAN INDIA WITH THE HELP OF ITS 500 ACTIVE TEACHERS WE ASPIRE TO FLOURISH A NEW WAVE OF MODERNITY IN THE FIELD OF EDUCATION KINDLY SUBSCRIBE OUR CHANNEL TO BE A PART OF THIS EDUCATION HUB
PERSONAL TUTOR IS ONE OF THE PIONEER IN THE FIELD OF EDUCATION WHICH PROVIDES EDUCATIONAL SERVICES PAN INDIA WITH THE HELP OF ITS 500 ACTIVE TEACHERS WE ASPIRE TO FLOURISH A NEW WAVE OF MODERNITY IN THE FIELD OF EDUCATION KINDLY SUBSCRIBE OUR CHANNEL TO BE A PART OF THIS EDUCATION HUB
This video is about the calculation of distance in graphs of graph theory.
It is explained with various examples.
It will be useful for students preparing fo...
This video is about the calculation of distance in graphs of graph theory.
It is explained with various examples.
It will be useful for students preparing for SET | NET | GATE | TRB polytechnic CS exams.
It will be useful for students pursuing engineering, B.Sc Maths, M.Sc maths and students preparing for other math competitive exams.
It is also useful in the preparation for PGTRB exams.
Graph theory playlist : https://www.youtube.com/watch?v=uuVh_dTJbJ4&list=PLJBJROPVF-MVffgeWc0wbAkwE3C3NBIxS
Our Other Playlists :
Linear Algebra : https://www.youtube.com/watch?v=2yXHfnX7Mi4&list=PLJBJROPVF-MUPjTSAfJ45SOb_4x75m3ic
Math Problem Solving Techniques : https://www.youtube.com/watch?v=ldYIs4fRxKo&list=PLJBJROPVF-MXmkys1e4M7-mXe5-KcNosy
Sudoku : https://www.youtube.com/watch?v=oIQ18vkYAj4&list=PLJBJROPVF-MUJ2NOtZRTVcVhKSUY-Pr1K
Number Tricks : https://www.youtube.com/watch?v=wORyNJkWB3c&list=PLJBJROPVF-MUj95guKVY_AsnhkbF5cn3G
Vedic Maths : https://www.youtube.com/watch?v=HDF-9RTcuYA&list=PLJBJROPVF-MUeMaRzjlH0O1QlsljcUJDh
Math Puzzles: https://www.youtube.com/watch?v=G9fJziqJ3aE&list=PLJBJROPVF-MVr72uZIkjXN08pHJlKdp6s
Math Riddles: https://www.youtube.com/watch?v=OHX66My4Dq4&list=PLJBJROPVF-MUXnkLA2JsBTxCvryl2hpNq
Math Proof Techniques : https://www.youtube.com/watch?v=Fgf9yIPSDDQ&list=PLJBJROPVF-MVt_6kNHRkYu5A2ZiXIoJbj Interesting Maths : https://www.youtube.com/watch?v=tsyQ7y1mj8w&list=PLJBJROPVF-MVetPDWDF498rfDq8crzdHH
Basic Mathematics : https://www.youtube.com/playlist?list=PLJBJROPVF-MWEpX4lig6U0vWy0H7YiQsg
Algebra : https://www.youtube.com/playlist?list=PLJBJROPVF-MUR4dkQep-1czTApqGl-Tj0
Set theory : https://www.youtube.com/playlist?list=PLJBJROPVF-MWJWeBryxreLwETv1DMYA3D
Coordinate Geometry : https://www.youtube.com/playlist?list=PLJBJROPVF-MVrglx9V576xup1l9kKSAk8
Trigonometry : https://www.youtube.com/playlist?list=PLJBJROPVF-MXU-OFnd5LHPaIIM0mGk7uV
Heron's Formula : https://www.youtube.com/playlist?list=PLJBJROPVF-MX3u5UZ1OBGjZPa6tINELLt
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This video is about the calculation of distance in graphs of graph theory.
It is explained with various examples.
It will be useful for students preparing for SET | NET | GATE | TRB polytechnic CS exams.
It will be useful for students pursuing engineering, B.Sc Maths, M.Sc maths and students preparing for other math competitive exams.
It is also useful in the preparation for PGTRB exams.
Graph theory playlist : https://www.youtube.com/watch?v=uuVh_dTJbJ4&list=PLJBJROPVF-MVffgeWc0wbAkwE3C3NBIxS
Our Other Playlists :
Linear Algebra : https://www.youtube.com/watch?v=2yXHfnX7Mi4&list=PLJBJROPVF-MUPjTSAfJ45SOb_4x75m3ic
Math Problem Solving Techniques : https://www.youtube.com/watch?v=ldYIs4fRxKo&list=PLJBJROPVF-MXmkys1e4M7-mXe5-KcNosy
Sudoku : https://www.youtube.com/watch?v=oIQ18vkYAj4&list=PLJBJROPVF-MUJ2NOtZRTVcVhKSUY-Pr1K
Number Tricks : https://www.youtube.com/watch?v=wORyNJkWB3c&list=PLJBJROPVF-MUj95guKVY_AsnhkbF5cn3G
Vedic Maths : https://www.youtube.com/watch?v=HDF-9RTcuYA&list=PLJBJROPVF-MUeMaRzjlH0O1QlsljcUJDh
Math Puzzles: https://www.youtube.com/watch?v=G9fJziqJ3aE&list=PLJBJROPVF-MVr72uZIkjXN08pHJlKdp6s
Math Riddles: https://www.youtube.com/watch?v=OHX66My4Dq4&list=PLJBJROPVF-MUXnkLA2JsBTxCvryl2hpNq
Math Proof Techniques : https://www.youtube.com/watch?v=Fgf9yIPSDDQ&list=PLJBJROPVF-MVt_6kNHRkYu5A2ZiXIoJbj Interesting Maths : https://www.youtube.com/watch?v=tsyQ7y1mj8w&list=PLJBJROPVF-MVetPDWDF498rfDq8crzdHH
Basic Mathematics : https://www.youtube.com/playlist?list=PLJBJROPVF-MWEpX4lig6U0vWy0H7YiQsg
Algebra : https://www.youtube.com/playlist?list=PLJBJROPVF-MUR4dkQep-1czTApqGl-Tj0
Set theory : https://www.youtube.com/playlist?list=PLJBJROPVF-MWJWeBryxreLwETv1DMYA3D
Coordinate Geometry : https://www.youtube.com/playlist?list=PLJBJROPVF-MVrglx9V576xup1l9kKSAk8
Trigonometry : https://www.youtube.com/playlist?list=PLJBJROPVF-MXU-OFnd5LHPaIIM0mGk7uV
Heron's Formula : https://www.youtube.com/playlist?list=PLJBJROPVF-MX3u5UZ1OBGjZPa6tINELLt
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Planetary orbits are elliptical because gravitational interaction over time changes the delicate balance of mass, velocity and distance from the star which otherwise keeps planetary orbit circular.
For a very long time, from Ptolemy to the age of Copernicus, it was widely believed and accepted that planets in our Solar System revolved in a perfectly circular path. Because the circle was presumed to be an ideal shape for planetary bodies to orbit. But then in the seventeenth century in his seminal book Astronomia Nova, Johannes Kepler rebutted this very idea. He put forth his own theory pertaining to planetary motion. He theorized that planetary bodies orbit in an elliptical path with the Sun sitting at one of the foci of that ellipse. In this video we will try to understand what makes these planetary orbits elliptical.
References:
https://www.nasa.gov/audience/forstudents/5-8/features/nasa-knows/what-is-orbit-58.html
http://www.cso.caltech.edu/outreach/log/NIGHT_DAY/elliptical.htm
https://nssdc.gsfc.nasa.gov/planetary/factsheet/
#science #funfacts #ellipticalorbits
Original Article Link: https://www.scienceabc.com/nature/universe/planetary-orbits-elliptical-not-circular.html
If you wish to buy/license this video, please write to us at [email protected].
Voice Over Artist: John Staughton ( https://www.fiverr.com/jswildwood )
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It's simple explanation about term eccentricity and your support to this video encourage me to explain more such terms so please like share and subscribe...
If you actually want this video in hindi , then please comment "hindi" ..more the comments earlier the next video : ). ...
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Visit http://ilectureonline.com for more math and science lectures!
In this video I will show you how to calculate the eccentricity of a planets orbit using Keppler's 1st law.
Short video showing variations in obliquity, eccentricity, precession, put together they form the Milankovitch Cycles, related to the great trends in climate. Obliquity varies between 22.1° and 24.5° and takes 40,000 years to complete a full cycle (as axial tilt increases, winters are colder in both hemispheres.). Earth's eccentricity varies from near circular orbit to a more elliptical one, due to gravitational pull of neighboring planets, mostly Venus and Jupiter (the closer to the sun, the more solar radiation), in a 100,000 years cycle. Axial precession is the movement of the rotation axis of Earth, in a 26,000 years cycle, altering perihelion and aphelion, increasing seasonal differences from one hemisphere to the other. Finally, apsidal precession (shown at the right lower corner) is the gradual rotation of the orbit over time, with a period of 100,000 years.
see figure at http://commons.wikimedia.org/wiki/File%3AMilankovitch_Variations.png
Visit http://ilectureonline.com for more math and science lectures!
In this video I will discuss the various orbital eccentricities of the planets in our Solar System.
Next video in this series can be seen at:
http://youtu.be/igAZ0bSyi2c
An explanation of the following terms in orbital dynamics:
axial tilt, eccentricity, ecliptic plane, & orbital inclination.
It includes the planets & some solar system objects' axial tilts, eccentricities & orbital inclinations.
(If you haven't yet, please subscribe to my channel to support me in creating more videos.)
Contents (start time):
• Axial Tilt (0:11)
• Eccentricity (1:39)
• Ecliptic plane (4:11)
• Orbital inclination (4:59)
• Ecliptic plane & Orbital inclination (5:16)
Primary source:
NASA
CTTO of other sources & multimedia resources.
Music:
Summer by Benjamin Tissot
Music by: Bensound
Earth's natural climate cycles caused by changes to its orbit are called Milankovitch cycles. Come learn about how the eccentricity of Earth's orbit tends to lead to ice ages (but not for, like another 100,000 years).
There are three components to Milankovitch, this is the first! Next two episodes will address the other two.
Want to learn more? https://climate.nasa.gov/news/2948/milankovitch-orbital-cycles-and-their-role-in-earths-climate/
In which I show you how to construct orbits for Resonant Dwarf/Kuiper Belt objects. Topics discussed in this video include mean motion resonances (1st order and beyond), the kuiper belt; plutinos, twotinos and other trans-Neptunian objects, and finally the classical/Keplerian orbital elements these types of objects.
—————
Artifexian on the Interweb:
Youtube: https://www.youtube.com/artifexian
Facebook: https://www.facebook.com/artifexian
Twitter: https://www.twitter.com/artifexian
Blog: http://www.scifiideas.com
—————
LINKS + FURTHER READING:
HOW TO BUILD AN ORBIT: http://goo.gl/Ksby80
List of Resonance (p.49): http://goo.gl/Ll6em4
Kuiper Belt: http://goo.gl/l8VSct
Orbital Resonances: http://goo.gl/h7QqEn
Resonant trans-Neptunian Objects: http://goo.gl/WfaVFF
Plutinos: http://goo.gl/gtl4a0
----------
SYSTEM STATS:
Star:
Mass = 1 Solar Mass
Gas Giant (Orbital Characteristics):
Semi-Major Axis: 21.54 AU
Orbital Eccentricity: 0.001
Periapsis: 21.51846 AU
Apoapsis: 21.56154
Orbital Period: 100 earth years
Inclination: 1 degree
Longitude of the ascending node: 200 degrees
Argument of periapsis: 150 degrees
PLUTINO (Orbital Characteristics):
Semi-Major Axis: 28.2423 AU
Orbital Eccentricity: 0.25
Periapsis: 21.17 AU (Inside my gas giants orbit!)
Apoapsis: 35.29 AU
Orbital Period: 150 earth years - (2:3 Mean Motion Resonance)
Inclination: 13 degree
Longitude of the ascending node: 100 degrees
Argument of periapsis: 300 degrees
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http://www.teachastronomy.com/
Orbital eccentricity is the amount by which an orbit deviates from a circle. Mathematically it's defined as the distance between the two foci of an elliptical orbit divided by the major axis. A circle has an ellipticity, denoted by the little symbol "e", of zero. In the solar system most of the planets have small eccentricity and are close to circular. Eccentricity of the Earth's orbit is 0.017, one and a half percent. The only two planets where the orbital eccentricity is above ten percent are Pluto, with an eccentricity of 0.25 and Mercury with an eccentricity of 0.21. These large numbers probably indicate interactions during the history of the solar system with large bodies or perhaps in the case of Pluto capture from a distant region of space.
I explain Dijkstra's Shortest Path Algorithm with the help of an example.
This algorithm can be used to calculate the shortest distance between one node and every other node in a weighted graph.
If you want to learn more about algorithms, check out my Basic Algorithms in Python Playlist and subscribe to this channel.
What is the diameter of a graph in graph theory? This is a simple term we will define with examples in today's video graph theory lesson!
Remember that the distance between two connected vertices in a graph is the length of a shortest path between those vertices. Here's my lesson on distance between vertices: https://www.youtube.com/watch?v=ZmakwnZv-qo
Of all distances between pairs of vertices in a connected graph, the greatest distance is the diameter of the graph, written diam(G) for a graph G. In other words, the diameter of a connected graph G is the greatest distance (number of edges) necessary to travel between any pair of vertices in G.
I hope you find this video helpful, and be sure to ask any questions down in the comments!
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The outro music is by a favorite musician of mine named Vallow, who, upon my request, kindly gave me permission to use his music in my outros. I usually put my own music in the outros, but I love Vallow's music, and wanted to share it with those of you watching. Please check out all of his wonderful work.
Vallow Bandcamp: https://vallow.bandcamp.com/
Vallow Spotify: https://open.spotify.com/artist/0fRtulS8R2Sr0nkRLJJ6eW
Vallow SoundCloud: https://soundcloud.com/benwatts-3
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+WRATH OF MATH+
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This video covers:
- How to interpret distance-time graphs
- How to calculate speed on a distance-time graph
- What the gradient of the line means
- Drawing a tangent
General info:
- Suitable for all GCSE and IGCSE courses
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What is the distance between two vertices in graph theory? We'll define vertex distance in graph theory, as well as defining graph geodiscs and graph diameter in today's lesson!
The distance between two connected vertices is the length of a shortest path connecting them. The distance between vertices u and v is denoted d(u,v). A shortest u-v path, that is: a u-v path with length d(u,v) is called a u-v geodesic.
The greatest distance between any two vertices in a graph is called the diameter of the graph. If two vertices are not connected, their distance is undefined. If two vertices are adjacent, their distance is 1 because a path of length one exists going from one vertex straight to the other in only 1 edge. The distance from a vertex to itself is 0 because the trivial path - a path with length zero - goes from a vertex to itself.
I hope you find this video helpful, and be sure to ask any questions down in the comments!
+WRATH OF MATH+
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Distance Time Graphs | Geometry | Maths | FuseSchool
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Narration: Dale Bennett
Script: Joe Lewis
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Eccentricity, radius and diameter are terms that are used often in graph theory. They are related to the concept of the distance between vertices. The distance between a pair of vertices is the length of a shortest path between them. We begin by reviewing some of the properties of distance in graphs. Then we define the eccentricity of a vertex (which is the maximum distance from it to any other vertex in the graph), the diameter of a graph (the maximum eccentricity) and the radius of a graph (the minimum eccentricity). We use two examples to illustrate these concepts. Furthermore, the periphery and centre of a graph are the set of vertices whose eccentricity is the diameter and radius, respectively. Notice that the examples used in the video are very small and so the vertices are either in the periphery or centre, but notice that in general there may be many vertices which lie in neither the periphery or the centre.
-- Bits of Graph Theory by Dr. Sarada Herke.
Related videos:
http://youtu.be/BEyuUXQs5ko - Graph Theory: 05. Connected and Regular Graphs
http://youtu.be/03PUwWef2Dg - Graph Theory: 50. Maximum vs Maximal
For quick videos about Math tips and useful facts, check out my other channel
"Spoonful of Maths" - http://youtube.com/spoonfulofmaths
In this lecture we are going to learn about Distance and Eccentricity in a graph i.e
How to find distance between any two vertex.
What is the Eccentricity of a vertex in a graph.
Distance between two vertex
Eccentricity of vertex.
What is Path : https://youtu.be/1sYjMfdT94k
#DistanceBetweenTwoVertex
#EccentricityOfVertex
#Path
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This video is about the calculation of distance in graphs of graph theory.
It is explained with various examples.
It will be useful for students preparing for SET | NET | GATE | TRB polytechnic CS exams.
It will be useful for students pursuing engineering, B.Sc Maths, M.Sc maths and students preparing for other math competitive exams.
It is also useful in the preparation for PGTRB exams.
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