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

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 here; 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

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 [tex] before and [/tex] after.