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LordCalculus

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**Deriving Vr and V(sub-theta) from Kepler's second law and...**

## Homework Statement

Beginning with r=[a(1-e

^{2})]/(1+e*cos [tex]\theta[/tex]) and Kepler's second law, derive general expressions for

**v**

_{r}and

**v**

_{[tex]\theta[/tex]}for a mass

*m*

_{1}in an elliptical orbit about a second mass

*m*

_{2}. The final answers should be functions of P, e, a, and [tex]\theta[/tex] only.

P=orbital period

e=eccentricity

a=semimajor axis

That's supposed to be

**v**(subtheta) and cosine of theta!

## Homework Equations

A'(t)=L/(2*[tex]\mu[/tex])