A chain regularization method for the few-body problem
Abstract
A regularization method for integrating the equations of motion of small N-body 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 four-body problem, which is therefore discussed in detail.
- Publication:
-
Celestial Mechanics and Dynamical Astronomy
- Pub Date:
- 1990
- Bibcode:
- 1990CeMDA..47..375M
- Keywords:
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- Equations Of Motion;
- Four Body Problem;
- Many Body Problem;
- Computerized Simulation;
- Perturbation Theory;
- Physics (General)