Wednesday, July 16, 2014

periapsis recession

what would the shape of relativistic corrections to the gravitational potential need to be such that one would observe a periapsis recession instead of a periapsis advance in an orbiting object?

1 comment:

  1. I think that there might even be an intuitive answer: the periapsis precession is caused due to the potential's being steeper close to the central body, which causes the orbiting object to move faster. if the potential were shallower close to the field generating body, the orbiting object would move slower and lag behind. both cases would of course violate Bertrand's theorem stating that the Newtonian potential $\Phi\propto 1/r$ (and the harmonic potential) allow closed orbits.