On the equations of the dynamics of the attracting point masses
Abstract
The dynamics of a system of n mutually attracting point masses is investigated analytically. The dynamical equivalence of this nbody system and a system of n(n1)/2 noninteracting bodies is demonstrated, and a Hamiltonian formulation is derived which contains neither trigonometric functions nor radicals, so that the nonlinearity takes on a power character. Motion is broken down into relative motion and referenceframe motion, making it possible to obtain expressions for the relative position of equilibrium and for minor oscillations about this position.
 Publication:

Celestial Mechanics and Dynamical Astronomy
 Pub Date:
 March 1990
 Bibcode:
 1990CeMDA..48....1K
 Keywords:

 Canonical Forms;
 Center Of Mass;
 Equations Of Motion;
 Hamiltonian Functions;
 Moments Of Inertia;
 Computational Astrophysics;
 Equilibrium Equations;
 Kinetic Energy;
 Potential Energy;
 Variable Mass Systems;
 Astrophysics