Analytical Mech Homework Solutions 72

Analytical Mech Homework Solutions 72 - 6.17 From Example...

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6.17 From Example 6.10.1 … () 1 2 2 2 2 1s i qq d d ε  =+ −    n φ where e v v q = and e r d a = are dimensionless ratios of the comet’s speed and distance from the Sun in terms of the Earth’s orbital speed and radius, respectively ( q and d are the same as the factors V and R in Example 6.10.1). is the angle between the comet’s orbital velocity and direction vector towards the Sun (see Figure 6.10.1). The orbit is hyperbolic, parabolic, or elliptic as ε is > , = , or < 1 … i.e., as 2 2 q R is > , = , or < 0. 2 2 q R v v is > , = , or < 0 as is > , = , or < 2. 2 qd 6.18 Since l is constant, v occurs at r and v occurs at , i.e. and and form the constancy of l max D min 11 vr 1 r max v = D min 1 v = = DD 2 min max 1 1 r vv v v v r == D 2 1 k rv m =+ (See Example 6.5.4) From equation 6.6.5 … 2 2 ka GM a m π τ : 2 min max 1 1 2 a a r + =⋅ From equation 6.5.21a&b …
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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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