Restrictions on the motion in the general four-body problem

Details Restrictions on the motion in the general four-body problem Restrictions on the motion in the general four-body problem

Aug 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...182..163s&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 182, no. 1, Aug. 1987, p. 163-166.

Computer Science

Numerical Analysis

4

Equations Of Motion, Four Body Problem, Numerical Analysis, Three Body Problem

Scientific paper

The authors used the integrals of energy and angular momentum as was done by Marchal and Saari in 1975 for the general three-body problem and applied them to the general four-body problem. This leads to the equation of surfaces in three-dimensional space, limiting regions where motion cannot occur. Restrictions on the angles between the orbital planes and the invariable plane are also found.

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