In geometry, the major axis of an ellipse is its longest diameter: a line segment that runs through the center and both foci, with ends at the widest points of the perimeter. The semi-major axis is one half of the major axis, and thus runs from the centre, through a focus, and to the perimeter. Essentially, it is the radius of an orbit at the orbit's two most distant points. For the special case of a circle, the semi-major axis is the radius. One can think of the semi-major axis as an ellipse's long radius.
The semi-major axis of a hyperbola is, depending on the convention, plus or minus one half of the distance between the two branches. Thus it is the distance from the center to either vertex (turning point) of the hyperbola.
A parabola can be obtained as the limit of a sequence of ellipses where one focus is kept fixed as the other is allowed to move arbitrarily far away in one direction, keeping ℓ fixed. Thus and tend to infinity, a faster than b.
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Welcome, my name is Phil, and in this video I explain how you can calculate the semi-major axis of an orbit.
To calculate the semi-major axis of an orbit, particularly in astronomy when considering orbits of planets or other celestial bodies around a star, you need to know a few key pieces of information and use Kepler's Third Law of Planetary Motion. The basic formulation you use depends on the specific details you have about the orbit.
If You Know the Orbital Period and Mass of the Central Body
For a planet orbiting a star (or for any satellite orbiting a central body), you can calculate the semi-major axis (a)...
published: 17 Apr 2024
Basics of Ellipse - Relationship between semi-major axis, semi Minor Axis, Math Class 11
Relationship between semi-major axis, semi –minor axis and the distance of the focus from the centre of the ellipse.
Class 11th Math NCERT
Mathsphy
https://www.mathsphy.com/ Learn Conic Section class 11th and entire NCERT Math from class 9th, 10th, 11th and 12th on our website
https://www.mathsphy.com
In all these videos on Conic Section I have always focused on explaining the basics and then solving the questions. My way of solving question will always refer back to the basics explained previously so that students can make the connect between basics and application of them.
Let’s now start about the Conic Section
In conic section we have many shapes to study:
Circle (Advance Theorems and properties) Equation of a Circle. Equation will let us know the location of the centre on pla...
published: 21 Mar 2018
Semi-Major Axis Comparison 4K
Hi everyone!
This video is a comparison of orbit radius or semi-major axis of 34 planets including and beyond the Solar System - from orbits of hot Jupiters to the orbit of Sedna.
Objects in this video:
1. Kepler-70b --- 0.006 AU
2. Kepler-70c --- 0.0076 AU
3. Kepler-42b --- 0.0116 AU
4. Kepler-42d --- 0.0154 AU
5. Corot-7b --- 0.017 AU
6. Kepler-444b --- 0.0418 AU
7. Corot-7c --- 0.046 AU
8. Kepler-444c --- 0.0488 AU
9. Proxima centauri b --- 0.05 AU
10. Wasp-17b --- 0.051 AU
11. Kepler-444d --- 0.06 AU
12. Kepler-444e --- 0.0696 AU
13. Kepler-49c --- 0.079 AU
14. Kepler-444f --- 0.0811 AU
15. Kepler-435b --- 0.0948 AU
16. Kepler-223b --- 0.112 AU
17. Kepler-223d --- 0.136 AU
18. Kepler-10b --- 0.2407 AU
19. Kepler-20d --- 0.3453 AU
20. Mercury --- 0.387 AU
21. Kepler-11g --- 0.466 AU
22...
published: 17 Dec 2018
Relationship Between Eccentricity, Semi-Major & Semi-Minor Axis
published: 04 Feb 2014
Classical Orbital Elements: Semi-Major Axis “a"
The semi-major axis of an orbit is just a way we describe the size of an orbit. It’s essentially half of the major axis of the orbit, which is the distance between the two most distant points of the orbit.
published: 15 Dec 2019
Semimajor axis Meaning
Video shows what semimajor axis means. Half of the major axis of a circle or ellipse.. Half of the distances between the two branches of a hyperbola.. Semimajor axis Meaning. How to pronounce, definition audio dictionary. How to say semimajor axis. Powered by MaryTTS, Wiktionary
published: 30 Apr 2015
Semimajor axis
How semimajor axis affects the orbit's size
published: 06 Jun 2009
Semi-Major Axis comparison (2020) 3D 4K 60FPS
Hi everyone!
This is the 2020 update of the Semi-Major Axis Comparison! It features updated design, images and a nice explosion at the end!
Don't forget to leave a like if you enjoyed, write a comment and subscribe to don't miss new videos!
Objects in this video:
1. Kepler-70b --- 0.006 AU
2. Kepler-70c --- 0.0076 AU
3. Kepler-42b --- 0.0116 AU
4. Kepler-42d --- 0.0154 AU
5. Corot-7b --- 0.017 AU
6. Kepler-444b --- 0.0418 AU
7. Corot-7c --- 0.046 AU
8. Kepler-444c --- 0.0488 AU
9. Proxima cent b --- 0.05 AU
10. Wasp-17b --- 0.051 AU
11. Kepler-444d --- 0.06 AU
12. Kepler-444e --- 0.0696 AU
13. Kepler-49c --- 0.079 AU
14. Kepler-444f --- 0.0811 AU
15. Kepler-435b --- 0.0948 AU
16. Kepler-223b --- 0.112 AU
17. Kepler-223d --- 0.136 AU
18. Kepler-10b --- 0.2407 AU
19. Kepler-20d --- 0.3453...
published: 12 Apr 2020
Basics of Ellipse - Semi-major axis | Class 9th physics | Thrive Adda
Relationship between semi-major axis, semi –minor axis and the distance of the focus from the center of the ellipse.
n all these videos on Conic Section I have always focused on explaining the basics and then solving the questions. My way of solving question will always refer back to the basics explained previously so that students can make the connect between basics and application of them.
Let’s now start about the Conic Section
In conic section we have many shapes to study:
Circle (Advance Theorems and properties) Equation of a Circle. Equation will let us know the location of the centre on plane and the radius of the circle
Ellipse. Ellipse and its Standard Equations
Latus Rectum of Ellipse
Parabola . Shape obtained when you throw a ball in the air. Standard equations of Parabola...
published: 08 Sep 2022
semi-major axis
This STK-generated shows the effect of differing semi-major axes on an orbit.
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Help support this channel on Patreon:
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Join this channel to get access to perks:
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Welcome, my name is Phil, and in this video I explain how you can calculate the semi-major axis of an orbit.
To calculate the semi-major axis of an orbit, particularly in astronomy when considering orbits of planets or other celestial bodies around a star, you need to know a few key pieces of information and use Kepler's Third Law of Planetary Motion. The basic formulation you use depends on the specific details you have about the orbit.
If You Know the Orbital Period and Mass of the Central Body
For a planet orbiting a star (or for any satellite orbiting a central body), you can calculate the semi-major axis (a) of the elliptical orbit using a simplified version of Kepler's Third Law if the mass of the orbiting body is much less than the mass of the central body. Kepler's Law states that the square of the orbital period is proportional to the cube of the semi-major axis.
If you don't have the orbital period or the mass of the central body but have other orbital parameters (like the apoapsis and periapsis distances) you can still calculate the semi-major axis. Here, you add to the apoapsis and periapsis distances and half to get the semi-major axis.
Help support this channel on Patreon:
https://www.patreon.com/astrophil
Join this channel to get access to perks:
https://www.youtube.com/channel/UCEo5y4iVybEu7AZ1w2lJlEg/join
Welcome, my name is Phil, and in this video I explain how you can calculate the semi-major axis of an orbit.
To calculate the semi-major axis of an orbit, particularly in astronomy when considering orbits of planets or other celestial bodies around a star, you need to know a few key pieces of information and use Kepler's Third Law of Planetary Motion. The basic formulation you use depends on the specific details you have about the orbit.
If You Know the Orbital Period and Mass of the Central Body
For a planet orbiting a star (or for any satellite orbiting a central body), you can calculate the semi-major axis (a) of the elliptical orbit using a simplified version of Kepler's Third Law if the mass of the orbiting body is much less than the mass of the central body. Kepler's Law states that the square of the orbital period is proportional to the cube of the semi-major axis.
If you don't have the orbital period or the mass of the central body but have other orbital parameters (like the apoapsis and periapsis distances) you can still calculate the semi-major axis. Here, you add to the apoapsis and periapsis distances and half to get the semi-major axis.
Relationship between semi-major axis, semi –minor axis and the distance of the focus from the centre of the ellipse.
Class 11th Math NCERT
Mathsphy
https://w...
Relationship between semi-major axis, semi –minor axis and the distance of the focus from the centre of the ellipse.
Class 11th Math NCERT
Mathsphy
https://www.mathsphy.com/ Learn Conic Section class 11th and entire NCERT Math from class 9th, 10th, 11th and 12th on our website
https://www.mathsphy.com
In all these videos on Conic Section I have always focused on explaining the basics and then solving the questions. My way of solving question will always refer back to the basics explained previously so that students can make the connect between basics and application of them.
Let’s now start about the Conic Section
In conic section we have many shapes to study:
Circle (Advance Theorems and properties) Equation of a Circle. Equation will let us know the location of the centre on plane and the radius of the circle
Ellipse. Ellipse and its Standard Equations
Latus Rectum of Ellipse
Parabola . Shape obtained when you throw a ball in the air. Standard equations of Parabola
Assumption:
- Vertex at the origin
- Focus at (a, 0)
- Directrix x = -a
Latus Rectum: A line segment perpendicular to the axis of the parabola, through the focus and whose end points lie on the parabola
Hyperbola. Equation of Hyperbola
Eccentricity of Hyperbola
Latus Rectum of Hyperbola
We will take all of them one by one in different videos. I have done complete basic videos and then solved questions from NCERT and Exemplar syllabus.
Please use this link for the YouTube playlist of Conic Section Class 11th:
Ellipse Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_Cl3XKEWh1VD7ca2sc1EAFzd
3D Geometry Class 11th
https://www.youtube.com/playlist?list=PLT-GtQewu_CnmGrC8uW67OnImcvDByPp2
Relations and Functions Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CksTSApE9PqaBcBJxfUie_V
Trigonometric Functions Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CnWaw06MOLhF6etRLOoWTt0
Linear Inequalities Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CluiWS_cUM1KBSA7Ra3RySa
Permutation and Combination Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CmYQUzxhKw0dud-1BNX2ei-
Binomial Theorem Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_Cny-ugmX9WEEFnk5OF_oVRV
Straight Lines Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CkpgeP862dhcFBop9e9SoOP
Hyperbola Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CnH6Y2GganCtvTztJGcwT3N
Parabola Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CmQStjLJYWKgDTEOgLGkWn6
Circle Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_Cn2T9TutwkKXlg-XOPhPGMF
Sets Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CkHPdkeT8N6cYRf7PBNGl7k
Class 11 Math Important Practice Questions
https://www.youtube.com/playlist?list=PLT-GtQewu_CmomRB9Y_bOn2GwfRukg_Zf
Mathsphy provides unconventional and a better way of learning maths. It saves time and gives you ease of learning anytime anywhere at your convenience. It has more than 1000 videos for 9th , 10th and 11th grade students explaining topic concepts and then solving all the questions in a very professional language giving you the experience of personalized tutoring.
Class 9 I have: Number System, Polynomials, Coordinate Geometry, Linear Equations in Two Variable, Lines and Angles, Triangles, Quadrilaterals, Circle, Areas of Parallelograms and Triangles, Herons's Formula, Surface Areas and Volumes, Statistics and Probability.
Class 10 I have: Real Numbers, Polynomials, Quadratic Equations, Coordinate Geometry, Linear Equations in Two Variables, Triangles Similarity, Circle, Introduction to Trigonometry, Application of Trigonometry, Area related to circle, Surface Areas and Volumes, Statistics and Probability
Find us on youtube
http://www.youtube.com/c/Mathsphy
Find us on Facebook:
https://www.facebook.com/www.mathsphy/
Contact:
Abhishek Agarwaal
+9 7317769273
[email protected][email protected]
Relationship between semi-major axis, semi –minor axis and the distance of the focus from the centre of the ellipse.
Class 11th Math NCERT
Mathsphy
https://www.mathsphy.com/ Learn Conic Section class 11th and entire NCERT Math from class 9th, 10th, 11th and 12th on our website
https://www.mathsphy.com
In all these videos on Conic Section I have always focused on explaining the basics and then solving the questions. My way of solving question will always refer back to the basics explained previously so that students can make the connect between basics and application of them.
Let’s now start about the Conic Section
In conic section we have many shapes to study:
Circle (Advance Theorems and properties) Equation of a Circle. Equation will let us know the location of the centre on plane and the radius of the circle
Ellipse. Ellipse and its Standard Equations
Latus Rectum of Ellipse
Parabola . Shape obtained when you throw a ball in the air. Standard equations of Parabola
Assumption:
- Vertex at the origin
- Focus at (a, 0)
- Directrix x = -a
Latus Rectum: A line segment perpendicular to the axis of the parabola, through the focus and whose end points lie on the parabola
Hyperbola. Equation of Hyperbola
Eccentricity of Hyperbola
Latus Rectum of Hyperbola
We will take all of them one by one in different videos. I have done complete basic videos and then solved questions from NCERT and Exemplar syllabus.
Please use this link for the YouTube playlist of Conic Section Class 11th:
Ellipse Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_Cl3XKEWh1VD7ca2sc1EAFzd
3D Geometry Class 11th
https://www.youtube.com/playlist?list=PLT-GtQewu_CnmGrC8uW67OnImcvDByPp2
Relations and Functions Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CksTSApE9PqaBcBJxfUie_V
Trigonometric Functions Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CnWaw06MOLhF6etRLOoWTt0
Linear Inequalities Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CluiWS_cUM1KBSA7Ra3RySa
Permutation and Combination Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CmYQUzxhKw0dud-1BNX2ei-
Binomial Theorem Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_Cny-ugmX9WEEFnk5OF_oVRV
Straight Lines Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CkpgeP862dhcFBop9e9SoOP
Hyperbola Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CnH6Y2GganCtvTztJGcwT3N
Parabola Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CmQStjLJYWKgDTEOgLGkWn6
Circle Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_Cn2T9TutwkKXlg-XOPhPGMF
Sets Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CkHPdkeT8N6cYRf7PBNGl7k
Class 11 Math Important Practice Questions
https://www.youtube.com/playlist?list=PLT-GtQewu_CmomRB9Y_bOn2GwfRukg_Zf
Mathsphy provides unconventional and a better way of learning maths. It saves time and gives you ease of learning anytime anywhere at your convenience. It has more than 1000 videos for 9th , 10th and 11th grade students explaining topic concepts and then solving all the questions in a very professional language giving you the experience of personalized tutoring.
Class 9 I have: Number System, Polynomials, Coordinate Geometry, Linear Equations in Two Variable, Lines and Angles, Triangles, Quadrilaterals, Circle, Areas of Parallelograms and Triangles, Herons's Formula, Surface Areas and Volumes, Statistics and Probability.
Class 10 I have: Real Numbers, Polynomials, Quadratic Equations, Coordinate Geometry, Linear Equations in Two Variables, Triangles Similarity, Circle, Introduction to Trigonometry, Application of Trigonometry, Area related to circle, Surface Areas and Volumes, Statistics and Probability
Find us on youtube
http://www.youtube.com/c/Mathsphy
Find us on Facebook:
https://www.facebook.com/www.mathsphy/
Contact:
Abhishek Agarwaal
+9 7317769273
[email protected][email protected]
Hi everyone!
This video is a comparison of orbit radius or semi-major axis of 34 planets including and beyond the Solar System - from orbits of hot Jupiters to ...
Hi everyone!
This video is a comparison of orbit radius or semi-major axis of 34 planets including and beyond the Solar System - from orbits of hot Jupiters to the orbit of Sedna.
Objects in this video:
1. Kepler-70b --- 0.006 AU
2. Kepler-70c --- 0.0076 AU
3. Kepler-42b --- 0.0116 AU
4. Kepler-42d --- 0.0154 AU
5. Corot-7b --- 0.017 AU
6. Kepler-444b --- 0.0418 AU
7. Corot-7c --- 0.046 AU
8. Kepler-444c --- 0.0488 AU
9. Proxima centauri b --- 0.05 AU
10. Wasp-17b --- 0.051 AU
11. Kepler-444d --- 0.06 AU
12. Kepler-444e --- 0.0696 AU
13. Kepler-49c --- 0.079 AU
14. Kepler-444f --- 0.0811 AU
15. Kepler-435b --- 0.0948 AU
16. Kepler-223b --- 0.112 AU
17. Kepler-223d --- 0.136 AU
18. Kepler-10b --- 0.2407 AU
19. Kepler-20d --- 0.3453 AU
20. Mercury --- 0.387 AU
21. Kepler-11g --- 0.466 AU
22. Venus --- 0.723 AU
23. Kepler-496b --- 0.76 AU
24. Kepler-22b --- 0.849 AU
25. Earth --- 1 AU
26. Mars --- 1.523 AU
27. Pollux b --- 1.64 AU
28. Jupiter --- 5.2 AU
29. Saturn --- 9.55 AU
30. Uranus --- 19.2 AU
31. Neptune --- 30.1 AU
32. Pluto --- 39.6 AU
33. Eris --- 67.8 AU
34. Sedna --- 513 AU
Don't forget to leave a like if you enjoyed, write a comment and subscribe to don't miss new videos!
Hi everyone!
This video is a comparison of orbit radius or semi-major axis of 34 planets including and beyond the Solar System - from orbits of hot Jupiters to the orbit of Sedna.
Objects in this video:
1. Kepler-70b --- 0.006 AU
2. Kepler-70c --- 0.0076 AU
3. Kepler-42b --- 0.0116 AU
4. Kepler-42d --- 0.0154 AU
5. Corot-7b --- 0.017 AU
6. Kepler-444b --- 0.0418 AU
7. Corot-7c --- 0.046 AU
8. Kepler-444c --- 0.0488 AU
9. Proxima centauri b --- 0.05 AU
10. Wasp-17b --- 0.051 AU
11. Kepler-444d --- 0.06 AU
12. Kepler-444e --- 0.0696 AU
13. Kepler-49c --- 0.079 AU
14. Kepler-444f --- 0.0811 AU
15. Kepler-435b --- 0.0948 AU
16. Kepler-223b --- 0.112 AU
17. Kepler-223d --- 0.136 AU
18. Kepler-10b --- 0.2407 AU
19. Kepler-20d --- 0.3453 AU
20. Mercury --- 0.387 AU
21. Kepler-11g --- 0.466 AU
22. Venus --- 0.723 AU
23. Kepler-496b --- 0.76 AU
24. Kepler-22b --- 0.849 AU
25. Earth --- 1 AU
26. Mars --- 1.523 AU
27. Pollux b --- 1.64 AU
28. Jupiter --- 5.2 AU
29. Saturn --- 9.55 AU
30. Uranus --- 19.2 AU
31. Neptune --- 30.1 AU
32. Pluto --- 39.6 AU
33. Eris --- 67.8 AU
34. Sedna --- 513 AU
Don't forget to leave a like if you enjoyed, write a comment and subscribe to don't miss new videos!
The semi-major axis of an orbit is just a way we describe the size of an orbit. It’s essentially half of the major axis of the orbit, which is the distance betw...
The semi-major axis of an orbit is just a way we describe the size of an orbit. It’s essentially half of the major axis of the orbit, which is the distance between the two most distant points of the orbit.
The semi-major axis of an orbit is just a way we describe the size of an orbit. It’s essentially half of the major axis of the orbit, which is the distance between the two most distant points of the orbit.
Video shows what semimajor axis means. Half of the major axis of a circle or ellipse.. Half of the distances between the two branches of a hyperbola.. Semimajo...
Video shows what semimajor axis means. Half of the major axis of a circle or ellipse.. Half of the distances between the two branches of a hyperbola.. Semimajor axis Meaning. How to pronounce, definition audio dictionary. How to say semimajor axis. Powered by MaryTTS, Wiktionary
Video shows what semimajor axis means. Half of the major axis of a circle or ellipse.. Half of the distances between the two branches of a hyperbola.. Semimajor axis Meaning. How to pronounce, definition audio dictionary. How to say semimajor axis. Powered by MaryTTS, Wiktionary
Hi everyone!
This is the 2020 update of the Semi-Major Axis Comparison! It features updated design, images and a nice explosion at the end!
Don't forget to le...
Hi everyone!
This is the 2020 update of the Semi-Major Axis Comparison! It features updated design, images and a nice explosion at the end!
Don't forget to leave a like if you enjoyed, write a comment and subscribe to don't miss new videos!
Objects in this video:
1. Kepler-70b --- 0.006 AU
2. Kepler-70c --- 0.0076 AU
3. Kepler-42b --- 0.0116 AU
4. Kepler-42d --- 0.0154 AU
5. Corot-7b --- 0.017 AU
6. Kepler-444b --- 0.0418 AU
7. Corot-7c --- 0.046 AU
8. Kepler-444c --- 0.0488 AU
9. Proxima cent b --- 0.05 AU
10. Wasp-17b --- 0.051 AU
11. Kepler-444d --- 0.06 AU
12. Kepler-444e --- 0.0696 AU
13. Kepler-49c --- 0.079 AU
14. Kepler-444f --- 0.0811 AU
15. Kepler-435b --- 0.0948 AU
16. Kepler-223b --- 0.112 AU
17. Kepler-223d --- 0.136 AU
18. Kepler-10b --- 0.2407 AU
19. Kepler-20d --- 0.3453 AU
20. Mercury --- 0.387 AU
21. Kepler-11g --- 0.466 AU
22. Venus --- 0.723 AU
23. Kepler-496b --- 0.76 AU
24. Kepler-22b --- 0.849 AU
25. Earth --- 1 AU
26. Mars --- 1.523 AU
27. Pollux b --- 1.64 AU
28. Jupiter --- 5.2 AU
29. Saturn --- 9.55 AU
30. Uranus --- 19.2 AU
31. Neptune --- 30.1 AU
32. Pluto --- 39.6 AU
33. Eris --- 67.8 AU
34. Sedna --- 513 AU
Made with Bryce 7.1 Pro & Adobe After Effects
#3d #4k #60fps
Hi everyone!
This is the 2020 update of the Semi-Major Axis Comparison! It features updated design, images and a nice explosion at the end!
Don't forget to leave a like if you enjoyed, write a comment and subscribe to don't miss new videos!
Objects in this video:
1. Kepler-70b --- 0.006 AU
2. Kepler-70c --- 0.0076 AU
3. Kepler-42b --- 0.0116 AU
4. Kepler-42d --- 0.0154 AU
5. Corot-7b --- 0.017 AU
6. Kepler-444b --- 0.0418 AU
7. Corot-7c --- 0.046 AU
8. Kepler-444c --- 0.0488 AU
9. Proxima cent b --- 0.05 AU
10. Wasp-17b --- 0.051 AU
11. Kepler-444d --- 0.06 AU
12. Kepler-444e --- 0.0696 AU
13. Kepler-49c --- 0.079 AU
14. Kepler-444f --- 0.0811 AU
15. Kepler-435b --- 0.0948 AU
16. Kepler-223b --- 0.112 AU
17. Kepler-223d --- 0.136 AU
18. Kepler-10b --- 0.2407 AU
19. Kepler-20d --- 0.3453 AU
20. Mercury --- 0.387 AU
21. Kepler-11g --- 0.466 AU
22. Venus --- 0.723 AU
23. Kepler-496b --- 0.76 AU
24. Kepler-22b --- 0.849 AU
25. Earth --- 1 AU
26. Mars --- 1.523 AU
27. Pollux b --- 1.64 AU
28. Jupiter --- 5.2 AU
29. Saturn --- 9.55 AU
30. Uranus --- 19.2 AU
31. Neptune --- 30.1 AU
32. Pluto --- 39.6 AU
33. Eris --- 67.8 AU
34. Sedna --- 513 AU
Made with Bryce 7.1 Pro & Adobe After Effects
#3d #4k #60fps
Relationship between semi-major axis, semi –minor axis and the distance of the focus from the center of the ellipse.
n all these videos on Conic Section I have ...
Relationship between semi-major axis, semi –minor axis and the distance of the focus from the center of the ellipse.
n all these videos on Conic Section I have always focused on explaining the basics and then solving the questions. My way of solving question will always refer back to the basics explained previously so that students can make the connect between basics and application of them.
Let’s now start about the Conic Section
In conic section we have many shapes to study:
Circle (Advance Theorems and properties) Equation of a Circle. Equation will let us know the location of the centre on plane and the radius of the circle
Ellipse. Ellipse and its Standard Equations
Latus Rectum of Ellipse
Parabola . Shape obtained when you throw a ball in the air. Standard equations of Parabola
Assumption:
- Vertex at the origin
- Focus at (a, 0)
- Directrix x = -a
Latus Rectum: A line segment perpendicular to the axis of the parabola, through the focus and whose end points lie on the parabola
Hyperbola. Equation of Hyperbola
Eccentricity of Hyperbola
Latus Rectum of Hyperbola
Relationship between semi-major axis, semi –minor axis and the distance of the focus from the center of the ellipse.
n all these videos on Conic Section I have always focused on explaining the basics and then solving the questions. My way of solving question will always refer back to the basics explained previously so that students can make the connect between basics and application of them.
Let’s now start about the Conic Section
In conic section we have many shapes to study:
Circle (Advance Theorems and properties) Equation of a Circle. Equation will let us know the location of the centre on plane and the radius of the circle
Ellipse. Ellipse and its Standard Equations
Latus Rectum of Ellipse
Parabola . Shape obtained when you throw a ball in the air. Standard equations of Parabola
Assumption:
- Vertex at the origin
- Focus at (a, 0)
- Directrix x = -a
Latus Rectum: A line segment perpendicular to the axis of the parabola, through the focus and whose end points lie on the parabola
Hyperbola. Equation of Hyperbola
Eccentricity of Hyperbola
Latus Rectum of Hyperbola
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Welcome, my name is Phil, and in this video I explain how you can calculate the semi-major axis of an orbit.
To calculate the semi-major axis of an orbit, particularly in astronomy when considering orbits of planets or other celestial bodies around a star, you need to know a few key pieces of information and use Kepler's Third Law of Planetary Motion. The basic formulation you use depends on the specific details you have about the orbit.
If You Know the Orbital Period and Mass of the Central Body
For a planet orbiting a star (or for any satellite orbiting a central body), you can calculate the semi-major axis (a) of the elliptical orbit using a simplified version of Kepler's Third Law if the mass of the orbiting body is much less than the mass of the central body. Kepler's Law states that the square of the orbital period is proportional to the cube of the semi-major axis.
If you don't have the orbital period or the mass of the central body but have other orbital parameters (like the apoapsis and periapsis distances) you can still calculate the semi-major axis. Here, you add to the apoapsis and periapsis distances and half to get the semi-major axis.
Relationship between semi-major axis, semi –minor axis and the distance of the focus from the centre of the ellipse.
Class 11th Math NCERT
Mathsphy
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In all these videos on Conic Section I have always focused on explaining the basics and then solving the questions. My way of solving question will always refer back to the basics explained previously so that students can make the connect between basics and application of them.
Let’s now start about the Conic Section
In conic section we have many shapes to study:
Circle (Advance Theorems and properties) Equation of a Circle. Equation will let us know the location of the centre on plane and the radius of the circle
Ellipse. Ellipse and its Standard Equations
Latus Rectum of Ellipse
Parabola . Shape obtained when you throw a ball in the air. Standard equations of Parabola
Assumption:
- Vertex at the origin
- Focus at (a, 0)
- Directrix x = -a
Latus Rectum: A line segment perpendicular to the axis of the parabola, through the focus and whose end points lie on the parabola
Hyperbola. Equation of Hyperbola
Eccentricity of Hyperbola
Latus Rectum of Hyperbola
We will take all of them one by one in different videos. I have done complete basic videos and then solved questions from NCERT and Exemplar syllabus.
Please use this link for the YouTube playlist of Conic Section Class 11th:
Ellipse Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_Cl3XKEWh1VD7ca2sc1EAFzd
3D Geometry Class 11th
https://www.youtube.com/playlist?list=PLT-GtQewu_CnmGrC8uW67OnImcvDByPp2
Relations and Functions Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CksTSApE9PqaBcBJxfUie_V
Trigonometric Functions Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CnWaw06MOLhF6etRLOoWTt0
Linear Inequalities Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CluiWS_cUM1KBSA7Ra3RySa
Permutation and Combination Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CmYQUzxhKw0dud-1BNX2ei-
Binomial Theorem Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_Cny-ugmX9WEEFnk5OF_oVRV
Straight Lines Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CkpgeP862dhcFBop9e9SoOP
Hyperbola Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CnH6Y2GganCtvTztJGcwT3N
Parabola Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CmQStjLJYWKgDTEOgLGkWn6
Circle Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_Cn2T9TutwkKXlg-XOPhPGMF
Sets Important Questions Class 11 Exemplar and NCERT Solutions
https://www.youtube.com/playlist?list=PLT-GtQewu_CkHPdkeT8N6cYRf7PBNGl7k
Class 11 Math Important Practice Questions
https://www.youtube.com/playlist?list=PLT-GtQewu_CmomRB9Y_bOn2GwfRukg_Zf
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Class 9 I have: Number System, Polynomials, Coordinate Geometry, Linear Equations in Two Variable, Lines and Angles, Triangles, Quadrilaterals, Circle, Areas of Parallelograms and Triangles, Herons's Formula, Surface Areas and Volumes, Statistics and Probability.
Class 10 I have: Real Numbers, Polynomials, Quadratic Equations, Coordinate Geometry, Linear Equations in Two Variables, Triangles Similarity, Circle, Introduction to Trigonometry, Application of Trigonometry, Area related to circle, Surface Areas and Volumes, Statistics and Probability
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Hi everyone!
This video is a comparison of orbit radius or semi-major axis of 34 planets including and beyond the Solar System - from orbits of hot Jupiters to the orbit of Sedna.
Objects in this video:
1. Kepler-70b --- 0.006 AU
2. Kepler-70c --- 0.0076 AU
3. Kepler-42b --- 0.0116 AU
4. Kepler-42d --- 0.0154 AU
5. Corot-7b --- 0.017 AU
6. Kepler-444b --- 0.0418 AU
7. Corot-7c --- 0.046 AU
8. Kepler-444c --- 0.0488 AU
9. Proxima centauri b --- 0.05 AU
10. Wasp-17b --- 0.051 AU
11. Kepler-444d --- 0.06 AU
12. Kepler-444e --- 0.0696 AU
13. Kepler-49c --- 0.079 AU
14. Kepler-444f --- 0.0811 AU
15. Kepler-435b --- 0.0948 AU
16. Kepler-223b --- 0.112 AU
17. Kepler-223d --- 0.136 AU
18. Kepler-10b --- 0.2407 AU
19. Kepler-20d --- 0.3453 AU
20. Mercury --- 0.387 AU
21. Kepler-11g --- 0.466 AU
22. Venus --- 0.723 AU
23. Kepler-496b --- 0.76 AU
24. Kepler-22b --- 0.849 AU
25. Earth --- 1 AU
26. Mars --- 1.523 AU
27. Pollux b --- 1.64 AU
28. Jupiter --- 5.2 AU
29. Saturn --- 9.55 AU
30. Uranus --- 19.2 AU
31. Neptune --- 30.1 AU
32. Pluto --- 39.6 AU
33. Eris --- 67.8 AU
34. Sedna --- 513 AU
Don't forget to leave a like if you enjoyed, write a comment and subscribe to don't miss new videos!
The semi-major axis of an orbit is just a way we describe the size of an orbit. It’s essentially half of the major axis of the orbit, which is the distance between the two most distant points of the orbit.
Video shows what semimajor axis means. Half of the major axis of a circle or ellipse.. Half of the distances between the two branches of a hyperbola.. Semimajor axis Meaning. How to pronounce, definition audio dictionary. How to say semimajor axis. Powered by MaryTTS, Wiktionary
Hi everyone!
This is the 2020 update of the Semi-Major Axis Comparison! It features updated design, images and a nice explosion at the end!
Don't forget to leave a like if you enjoyed, write a comment and subscribe to don't miss new videos!
Objects in this video:
1. Kepler-70b --- 0.006 AU
2. Kepler-70c --- 0.0076 AU
3. Kepler-42b --- 0.0116 AU
4. Kepler-42d --- 0.0154 AU
5. Corot-7b --- 0.017 AU
6. Kepler-444b --- 0.0418 AU
7. Corot-7c --- 0.046 AU
8. Kepler-444c --- 0.0488 AU
9. Proxima cent b --- 0.05 AU
10. Wasp-17b --- 0.051 AU
11. Kepler-444d --- 0.06 AU
12. Kepler-444e --- 0.0696 AU
13. Kepler-49c --- 0.079 AU
14. Kepler-444f --- 0.0811 AU
15. Kepler-435b --- 0.0948 AU
16. Kepler-223b --- 0.112 AU
17. Kepler-223d --- 0.136 AU
18. Kepler-10b --- 0.2407 AU
19. Kepler-20d --- 0.3453 AU
20. Mercury --- 0.387 AU
21. Kepler-11g --- 0.466 AU
22. Venus --- 0.723 AU
23. Kepler-496b --- 0.76 AU
24. Kepler-22b --- 0.849 AU
25. Earth --- 1 AU
26. Mars --- 1.523 AU
27. Pollux b --- 1.64 AU
28. Jupiter --- 5.2 AU
29. Saturn --- 9.55 AU
30. Uranus --- 19.2 AU
31. Neptune --- 30.1 AU
32. Pluto --- 39.6 AU
33. Eris --- 67.8 AU
34. Sedna --- 513 AU
Made with Bryce 7.1 Pro & Adobe After Effects
#3d #4k #60fps
Relationship between semi-major axis, semi –minor axis and the distance of the focus from the center of the ellipse.
n all these videos on Conic Section I have always focused on explaining the basics and then solving the questions. My way of solving question will always refer back to the basics explained previously so that students can make the connect between basics and application of them.
Let’s now start about the Conic Section
In conic section we have many shapes to study:
Circle (Advance Theorems and properties) Equation of a Circle. Equation will let us know the location of the centre on plane and the radius of the circle
Ellipse. Ellipse and its Standard Equations
Latus Rectum of Ellipse
Parabola . Shape obtained when you throw a ball in the air. Standard equations of Parabola
Assumption:
- Vertex at the origin
- Focus at (a, 0)
- Directrix x = -a
Latus Rectum: A line segment perpendicular to the axis of the parabola, through the focus and whose end points lie on the parabola
Hyperbola. Equation of Hyperbola
Eccentricity of Hyperbola
Latus Rectum of Hyperbola
In geometry, the major axis of an ellipse is its longest diameter: a line segment that runs through the center and both foci, with ends at the widest points of the perimeter. The semi-major axis is one half of the major axis, and thus runs from the centre, through a focus, and to the perimeter. Essentially, it is the radius of an orbit at the orbit's two most distant points. For the special case of a circle, the semi-major axis is the radius. One can think of the semi-major axis as an ellipse's long radius.
The semi-major axis of a hyperbola is, depending on the convention, plus or minus one half of the distance between the two branches. Thus it is the distance from the center to either vertex (turning point) of the hyperbola.
A parabola can be obtained as the limit of a sequence of ellipses where one focus is kept fixed as the other is allowed to move arbitrarily far away in one direction, keeping ℓ fixed. Thus and tend to infinity, a faster than b.