Showing papers on "Isotropic coordinates published in 1971"
TL;DR: In this paper, the Riccati equation is reduced to two especially simple forms, one of them being the Riemann equation, and examples of solutions are given for a perfect fluid sphere in general relativity.
14 citations
TL;DR: In this article, a method of solution of the equations of planetary motion is described, which consists of the use of numerical general perturbations in orbital elements and in rectangular coordinates, and the solution is expanded in Fourier series in the mean anomaly with the aid of harmonic analysis and computerized series manipulation techniques.
Abstract: A method of solution of the equations of planetary motion is described. It consists of the use of numerical general perturbations in orbital elements and in rectangular coordinates. The solution is expanded in Fourier series in the mean anomaly with the aid of harmonic analysis and computerized series manipulation techniques. A detailed application to the relativistic motion of the planet Mercury is described both for Schwarzschild and isotropic coordinates.