Equations of motion for a system of rotating spherically symmetric bodies
Abstract
The relativistic equations of motion for a system of rotating spherically symmetric bodies are reduced to Lagrange equations of the first kind. Introducing generalized momentum leads to a generalization of the force of universal gravitation. The obtained Lagrangian agrees with previous ones only up to terms containing linear velocities, the part of the Lagrange function responsible for rotation not being in agreement. If in the equation for the relativistic rotational correction to the Lagrange function one neglects terms in the square of the rotational frequency, then the Focke rotation correction agrees with the present one.
 Publication:

NASA STI/Recon Technical Report A
 Pub Date:
 1975
 Bibcode:
 1975STIA...7640461T
 Keywords:

 Equations Of Motion;
 EulerLagrange Equation;
 Rotating Bodies;
 Symmetrical Bodies;
 Gravitation;
 Inertia;
 Relativistic Theory;
 Astrophysics