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Revision History for A243598

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Showing entries 1-10 | older changes
Decimal expansion of the fraction of the full solid angle subtended by a cone with the polar angle of 10^(-4) arcseconds.
(history; published version)
#11 by N. J. A. Sloane at Tue Jun 24 00:37:37 EDT 2014
STATUS

proposed

approved

#10 by Stanislav Sykora at Mon Jun 23 08:02:42 EDT 2014
STATUS

editing

proposed

#9 by Stanislav Sykora at Sun Jun 22 12:01:09 EDT 2014
CROSSREFS
STATUS

proposed

editing

Discussion
Sun Jun 22
12:02
Stanislav Sykora: Yes, its on topic - and in evolution :)
#8 by Wesley Ivan Hurt at Sat Jun 07 21:50:28 EDT 2014
STATUS

editing

proposed

Discussion
Sun Jun 22
10:50
Robert G. Wilson v: Cf. A125560?
#7 by Wesley Ivan Hurt at Sat Jun 07 21:48:35 EDT 2014
COMMENTS

The resolution limit of present astronomical instruments is about 200 micro arcseconds, corresponding to a solid angle cut out by a cone with polar angle of 0.0001 arcseconds. This constant , a , expresses the smallest resolvable solid angle as a fraction of the full solid angle. One might also say that at current top resolution, the full celestial sphere contains 1/a resolvable pixels.

STATUS

proposed

editing

#6 by Michel Marcus at Sat Jun 07 12:10:52 EDT 2014
STATUS

editing

proposed

#5 by Michel Marcus at Sat Jun 07 12:10:48 EDT 2014
COMMENTS

The resolution limit of present astronomical instruments is about 200 micro arcseconds, corresponting corresponding to a solid angle cut out by a cone with polar angle of 0.0001 arcseconds. This constant a expresses the smallest resolvable solid angle as a fraction of the full solid angle. One might also say that at current top resolution, the full celestial sphere contains 1/a resolvable pixels.

LINKS

Center fo for High Angular Resolution Astronomy, <a href="http://www.chara.gsu.edu/CHARA/">CHARA</a>

STATUS

proposed

editing

#4 by Stanislav Sykora at Sat Jun 07 11:41:57 EDT 2014
STATUS

editing

proposed

#3 by Stanislav Sykora at Sat Jun 07 11:41:03 EDT 2014
COMMENTS

The resolution limit of present astronomical instruments is about 200 micro arcseconds, corresponting to a solid angle cut out by a cone with polar angle of 0.0001 arcseconds. This constant a expresses the smallest resolvable solid angle as a fraction of the full solid angle. One can might also say that at current top resolution, the full celestial sphere contains 1/a resolvable pixels.

LINKS

Center fo High Angular Resolution Astronomy, <a href="http://www.chara.gsu.edu/CHARA/">CHARA</a>

FORMULA

(1-cos((0.0001/60/60)*(Pi/180)))/2.

EXAMPLE

Inverse:

1.7018068118460879832481638181180323127935597506413188919...e+19

PROG

(PARI) (1-cos((0.0001/60/603600)*(Pi/180)))/2

#2 by Stanislav Sykora at Sat Jun 07 11:31:34 EDT 2014
NAME

allocated for Stanislav SykoraDecimal expansion of the fraction of the full solid angle subtended by a cone with the polar angle of 10^(-4) arcseconds.

DATA

5, 8, 7, 6, 1, 0, 7, 6, 3, 4, 7, 7, 4, 4, 7, 1, 4, 3, 7, 9, 0, 0, 7, 9, 0, 8, 9, 9, 4, 0, 6, 7, 7, 0, 0, 3, 1, 1, 3, 6, 2, 9, 8, 5, 2, 6, 1, 9, 5, 0, 6, 8, 5, 1, 9, 7, 0, 3, 7, 8, 7, 4, 8, 6, 2, 8, 5, 3, 4, 7, 6, 8, 4, 7, 7, 7, 1, 2, 6, 4, 6, 1, 7, 5, 7, 0, 8, 5, 7, 5, 6, 8, 6, 5, 2, 7, 5, 1, 2, 1, 6, 0, 9, 3, 7

OFFSET

-19,1

COMMENTS

The resolution limit of present astronomical instruments is about 200 micro arcseconds, corresponting to a solid angle cut out by a cone with polar angle of 0.0001 arcseconds. This constant a expresses the smallest resolvable solid angle as a fraction of the full solid angle. One can also say that at current top resolution, the full celestial sphere contains 1/a resolvable pixels.

See A234597 for more details on solid angle fractions.

LINKS

Stanislav Sykora, <a href="/A243598/b243598.txt">Table of n, a(n) for n = -19..1980</a>

FORMULA

(1-cos(0.0001/60/60*(Pi/180)))/2.

EXAMPLE

5.8761076347744714379007908994067700311362985261950685197...e-20

PROG

(PARI) (1-cos(0.0001/60/60*(Pi/180)))/2

CROSSREFS

Cf. A234597.

KEYWORD

allocated

nonn,cons,easy

AUTHOR

Stanislav Sykora, Jun 07 2014

STATUS

approved

editing