Analytical Mech Homework Solutions 89

Analytical Mech Homework Solutions 89 - 2m1 2 v1 4 T1 T1 m...

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2 1 1 11 2 1 2 4 1 2 m v TT m Tm mv µ == 7.11 From eqn. 7.2.14, cm cm i i i i Lr m v rm v + × G G G GG 12 2 ii i i v rm v r m v ×= ×+ × G 2 G From eqn. 7.3.2, 2 22 1 mm m m 1 1 R rr r  + =+ = =   G G Since from eqn. 7.3.1, 2 12 1 m m =− 2 2 m R r G G 2 2 i i v Rm v v µµ ×= ×+ × G G () R vv R v −= × G G Lr cm cm m v 7.12 Let m s = mass of Sun and a e = semi-major axis of Earth’s orbit then from eqn. 7.3.9c, 13 ss e a yr a τ =+ 1 2 3 3 es am m m s 2 2 1 3 3 3 1 5.6 20 16 365 yr da yr da + 1 0.20 5 ee aa a the 4 L 16 m s 20 m s 7.13 (Ignore primes in notation) a)
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This note was uploaded on 01/06/2012 for the course PHYSICS 4360C taught by Professor Johnanderson during the Fall '11 term at UNF.

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