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a simple calculation for earth spin projected onto sun-earth orbit plane

November 6, 2011

Mohan, mdashf


written about 3 weeks ago
USE the following for quick calculations
http://www.1728.org/trigcalc.htm
and
http://www.csgnetwork.com/squarerootsquarecalc.html

“Trigonometry calculator solves for all 6 trigonometric functions and for all 6 trigonometric arcfunctions, the double line display works with degrees and radians simultaneously, sine, cosine, tangent, cotangent, secant, cosecant, arcsine, arccosine, arctangent, arccotangent, arcsecant, arccosecan … “
Here is the earth around sun and earth spin situation:
Earth rotates around sun in a tilt of 23.5 degrees and rotates around itself with spin S. SO S is 84% along sun’s vertical and 16% along sun’s horizontal;
proof:
cos^2 (23.5 deg) + cos^2 (90-23.5 deg) = 1.
So S_z = S.cos(23.5deg) ,
S_xy = S.sin(23.5deg),
z: cos^2(23.5deg) = ( 0.91706 )^2 = 84.09%,
xy: sin^2(23.5deg) = ( 0.39875 )^2 = 15.9 %
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