8 citations · 15 across the 4 of their papers we have counts for
4 papers
The first-order orbital equation
Maurizio M. D'Eliseo
We derive the first-order orbital equation employing a complex variable formalism. We then examine Newton's theorem on precessing orbits and apply it to the perihelion shift of an…
Einstein's perihelion formula and its generalization
Maurizio M. D'Eliseo
Einstein's perihelion advance formula can be given a geometric interpretation in terms of the curvature of the ellipse. The formula can be obtained by splitting the constant term o…
The relativistic precession of the orbits
Maurizio M. D'Eliseo
The relativistic precession can be quickly inferred from the nonlinear polar orbit equation without actually solving it.
Higher-order corrections to the relativistic perihelion advance and the mass of binary pulsars
Maurizio M. D'Eliseo
We study the general relativistic orbital equation and using a straightforward perturbation method and a mathematical device first introduced by d'Alembert, we work out approximate…