These are parametric equations for the Keplerian orbit of a planet: tan(?/2) = ?

Question

These areparametric equationsfor the Keplerian orbit of a planet:

tan(?/2) = ?{(1+e)/(1?e)} tan(?/2)

r=a( 1 ?ecos?) andt= (T/2?) (??esin?)

Here (r,?) are plane polar coordinates,tis time, and ? is an independent variable parameter. Also,T= period of revolution,a= semimajor axis, ande= eccentricity.

(A) Determine the Cartesian coordinates (x,y) and timetfor the pointPshown on the figure. (Express the answers in terms ofa,e,T.)

(B) Determine the Cartesian coordinates (x,y) and timetfor the pointRshown on the figure. (Express the answers in terms ofa,e,T.)

(C) DetermineL/mwhereLis the angular momentum of the planet, andmis its mass. (Express the answer in terms ofa,e,T.)

PLEASE SHOW SOLUTIONS AND EXPLAIN

Explanation / Answer

Hi, The question contains lot of ? symbols. Please re-post the question. Thanks.

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