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Leigh,Rindler starts with two equations of motion arrived at from the 4-vector
Apparently the assignment is to apply special, but not general
relativity. I suppose I'd try to solve the equation
-G M r_vec/r^2 = d(gamma v_vec)/dt
separating out the radial and azimuthal components and performing
something like the usual small amplitude radial oscillation analysis
to find the apsidal angle.
But maybe that isn't saying anything you hadn't already thought of
and the stumbling block lies further along that path.
John Mallinckrodt
Cal Poly Pomona
Problem 13 from Chapter 6 of Goldstein's "Classical Mechanics" reads:
inverse square law of force is a precessing ellipse. Compute the >Show that the relativistic motion of a particle in an attractive >
Thanks, > >Leigh_______________________________________________