Triple close approach in the three-body problem - A limit for the bounded orbits

Details Triple close approach in the three-body problem - A limit for the bounded orbits Triple close approach in the three-body problem - A limit for the bounded orbits

Jan 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..32...15l&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 32, Jan. 1984, p. 15-28.

Physics

3

Moments Of Inertia, Orbit Calculation, Three Body Problem, Angular Momentum, Celestial Mechanics, Euler Equations Of Motion, Hill Method

Scientific paper

The results of Sundman (1912) and Birkhoff (1927) are used together with studies on the generalized Hill's curves to develop a moment of inertia lower bound for bounded orbits in the general three-body problem. The values obtained by these means are higher than those classically derived; when the energy integral goes to zero, for instance, this lower bound goes to the minimum moment of inertia of the corresponding parabolic Euler motion having the same angular momentum. It then constitutes the greatest lower bound.

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