Find equation of path of a point mass under influence of 2 central forces

[taureau20]

A point mass ‘A’ is kept at the origin. Another B is kept at the x-axis at x = H. Another C is kept at distance H from origin and distance h from B. A, B and C thus form an isosceles triangle with vertex A. Given that A's mass >> B's mass >> C's mass; Newton’s gravitational law governs the bodies. C will have motion because of both A and B while B will have motion because of A only.
Find:
The equation of path of C in any coordinate system given that B and C have zero initial velocities.

 

[tiny-tim]

Welcome to PF!

Hi taureau20! Welcome to PF!

Show us what you've tried, and where you're stuck, and then we'll know how to help.

 

[taureau20]

tell me within what tags must I enclose the LATEX code so I can post mathematuical expressions here. I can't do that here. Plz help w.r.t. that.

anyway, you may click http://www.physicshelpforum.com/phy...urce-one-stationary-one-moving.html#post1534"; in this site, the LATEX coding has worked so I have posted my attempt at solving this problem.

You can take it from there!

Thanks!

 

[tiny-tim]

tell me within what tags must I enclose the LATEX code so I can post mathematuical expressions here. I can't do that here. Plz help w.r.t. that.

anyway, you may click http://www.physicshelpforum.com/phy...urce-one-stationary-one-moving.html#post1534"; in this site, the LATEX coding has worked so I have posted my attempt at solving this problem.

You can take it from there!

Thanks!

Hi taureau20!

sorry, but I can't follow your equations (3) and (4)

is theta measured from B or from C?

why is there no k_a in (3)?

Can you check it, and type it out again, here … for LaTeX in this forum, just type [noparse]before and after.[/noparse]