On an inverse problem of the relativistic dynamics of a material point in postNewtonian approximation
Abstract
The paper is concerned with the evolution of a system consisting of a massive rotating nucleus and a cloud of particles, much smaller in total mass, orbiting around it. A model of this system is proposed, and a mathematical relationship between the trajectory of a test particle and the cloud's spatial mass distribution is derived. The model consists of a massive spherical rotating nucleus with a spherically symmetric cloud of particles around it. The particles are considered as material points. The known trajectory of a test particle moving in the cloud region is investigated; its mean free path is assumed to be long enough so that only gravitational interaction exists, and collisions are not taken into account. Knowledge of the cloud's spatial distribution aids the study of the evolution of the described system.
 Publication:

Bolgarska Akademiia Nauk Doklady
 Pub Date:
 1978
 Bibcode:
 1978BlDok..31..405M
 Keywords:

 Astronomical Models;
 Astrophysics;
 Celestial Mechanics;
 Relativity;
 Rotating Bodies;
 Angular Momentum;
 Differential Equations;
 Integral Equations;
 Particle Motion;
 Astrophysics