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James A. Van Allen journal, October 1955-March 1958
Page 4
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Period of earth satellite ------------------------------ (R sub 0) = radius of earth (R sub 0) + delta = radius of circular orbit T = (2pi) (square root of (R/g)) ~= (2pi) (square root of ((R sub 0)/(g sub 0)) ) (1 + (3/2) (delta/(R sub 0)) ) ((R sub 0)/(g sub 0)) = (((R sub 0) exponent 3)/(M G)) = 6.503 x (10 exponent 5 seconds squared T=5067 (1 + (3/2)(delta/(R sub 0))) seconds T=84.4 (1 + (3/2) (delta/(R sub 0))) minutes (R sub 0) = 6.3784 x (10 exponent 8) cm M = 5.983 x (10 exponent 27) gm G = 6.670 x (10 exponent -8) (cm exponent 3) / ((seconds exponent 2)(gm))
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Period of earth satellite ------------------------------ (R sub 0) = radius of earth (R sub 0) + delta = radius of circular orbit T = (2pi) (square root of (R/g)) ~= (2pi) (square root of ((R sub 0)/(g sub 0)) ) (1 + (3/2) (delta/(R sub 0)) ) ((R sub 0)/(g sub 0)) = (((R sub 0) exponent 3)/(M G)) = 6.503 x (10 exponent 5 seconds squared T=5067 (1 + (3/2)(delta/(R sub 0))) seconds T=84.4 (1 + (3/2) (delta/(R sub 0))) minutes (R sub 0) = 6.3784 x (10 exponent 8) cm M = 5.983 x (10 exponent 27) gm G = 6.670 x (10 exponent -8) (cm exponent 3) / ((seconds exponent 2)(gm))
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