The firstorder orbital equation
Abstract
We derive the firstorder 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 elliptic orbit in general relativity. It is found that corrections to the inversesquare gravitational force law formally similar to that required by general relativity were suggested by Clairaut in the 18th century.
 Publication:

American Journal of Physics
 Pub Date:
 April 2007
 DOI:
 10.1119/1.2432126
 Bibcode:
 2007AmJPh..75..352D
 Keywords:

 04.00.00;
 General relativity and gravitation