An Elementary Treatise On the Planetary Theory With a Span Classsearchterm
An Elementary Treatise On the Planetary Theory With a Span Classsearchterm
Charles Hartwell Horne Cheyne
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11), the values of -~, -~, -y-, and there- of dt dt fore of i-^, may be expressed in the same forms as if the elements were invariable. Since, then, t always occurs in R coupled with e. In the expression nt + e, we have d (R) dR dR = n therefore dt d (nt + e) de ' da 2na 2 dR dt /j, de 27. To obtain a formula for calculating the eccentricity. From equations (3) and (4), if - be eliminated, we obtain /^ 2 = ^ //>_M 2 (dt) ~~ h z (r h) * 7 I) Differentiating as if r were constant, and writing -T-... dr ^? = _, _ dr dt h 2 dt (h? \r + h 2 ) (r h)} dt _tfede j*I- = ^(l~e 2 ).
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