Comparability of the motion of gravitating systems in terms of its recurrence in time

Details Comparability of the motion of gravitating systems in terms of its recurrence in time Comparability of the motion of gravitating systems in terms of its recurrence in time

Apr 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984primm..48..188e&link_type=abstract

Prikladnaia Matematika i Mekhanika (ISSN 0032-8235), vol. 48, Mar.-Apr. 1984, p. 188-196. In Russian.

Computer Science

Celestial Mechanics, Gravitational Fields, Many Body Problem, Motion Stability, Time Functions, Euler-Lagrange Equation, Integral Equations, Kinetic Energy, Metric Space

Scientific paper

A qualitative investigation of a gravitating system of N bodies is carried out on the basis of the energy integral and its consequences. A sufficient condition of comparability of motion in terms of recurrence in time is established. Isochronicity, i.e., the mutual comparability in terms of recurrence in time of the kinetic energy and motion of the system, is shown to be a necessary condition of the Lagrange stability of this system.

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