A chain regularization method for the fewbody problem
Abstract
A regularization method for integrating the equations of motion of small Nbody systems is discussed. A chain of interparticle vectors is selected in such a way that the critical interactions requiring regularization are included in the chain. The equations of motion for the chain vectors are subsequently regularized using the KS variables and a time transformation. The method has been formulated for any number of bodies, but the most important application appears to be in the fourbody problem, which is therefore discussed in detail.
 Publication:

Celestial Mechanics and Dynamical Astronomy
 Pub Date:
 1990
 Bibcode:
 1990CeMDA..47..375M
 Keywords:

 Equations Of Motion;
 Four Body Problem;
 Many Body Problem;
 Computerized Simulation;
 Perturbation Theory;
 Physics (General)