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

  1. Sep 26, 2008 #1
    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.
    The equation of path of C in any coordinate system given that B and C have zero initial velocities.
  2. jcsd
  3. Sep 26, 2008 #2


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    Welcome to PF!

    Hi taureau20! Welcome to PF! :smile:

    Show us what you've tried, and where you're stuck, and then we'll know how to help. :smile:
  4. Sep 27, 2008 #3
    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!

  5. Sep 27, 2008 #4


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    Hi taureau20! :smile:

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

    is theta measured from B or from C?

    why is there no ka in (3)?

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