[go: up one dir, main page]

login
A125560
Full solid angle of 4*Pi steradians (sr) in square degrees (degree^2).
3
4, 1, 2, 5, 2, 9, 6, 1, 2, 4, 9, 4, 1, 9, 2, 7, 1, 0, 3, 1, 2, 9, 4, 6, 7, 1, 4, 6, 6, 1, 5, 5, 7, 2, 2, 6, 3, 9, 3, 3, 1, 9, 4, 0, 1, 7, 5, 9, 2, 6, 3, 1, 1, 5, 1, 5, 3, 9, 5, 3, 7, 5, 5, 8, 0, 0, 6, 6, 0, 4, 9, 9, 4, 6, 7, 9, 1, 5, 1, 7, 8, 9, 5, 3, 5, 7, 4, 9, 7, 6, 7, 7, 0, 1, 2, 7, 9, 9, 8, 7, 9, 8, 1, 4, 0
OFFSET
5,1
COMMENTS
"A 35 mm camera with a standard 50 mm lens covers an area some 38 degrees x 27 degrees. Theoretically, one can cover the sky with about 40 photographs." [A Field Guide]
One sphere = 4*Pi steradians, a spherical right angle = 1/4 hemisphere = 1/8 sphere = Pi/2 steradian.
REFERENCES
John A. Adam, Mathematics in Nature, Modeling Pattern in the Natural World, Princeton University Press, Princeton & Oxford, 2003, page 78.
Patrick Kelly, Editor, Observer's Handbook 2007, The Royal Astronomical Society of Canada, page 32.
Donald H. Menzel, A Field Guide to the Stars and Planets, Houghton Mifflin Co., Boston, MA, 1964, page 317.
LINKS
Rod Pierce, MathIsFun: Steradian, 2012.
Eric Weisstein's World of Mathematics, Solid Angle.
Wikipedia, Solid Angle.
FORMULA
4Pi*(180/Pi)^2 = 10*A019694*A072097^2 = 129600/Pi = 129600*A049541.
EXAMPLE
41252.96124941927103129467146615572263933194017592631151539537558... deg^2.
= 148510660.979093757126608172781606015015949846333347214554233520... min^2.
= 534638377792.473752565578942201378165405741944680004997239524067... sec^2.
MATHEMATICA
RealDigits[2^6*3^4*5^2/Pi, 10, 111][[1]]
PROG
(PARI) 129600/Pi \\ Charles R Greathouse IV, Nov 06 2017
CROSSREFS
KEYWORD
cons,nonn,easy
AUTHOR
Robert G. Wilson v, Dec 31 2006
EXTENSIONS
Definition changed to make it more rigorous by Stanislav Sykora, Nov 14 2013
STATUS
approved