On the equations of the dynamics of the attracting point masses

Details On the equations of the dynamics of the attracting point masses On the equations of the dynamics of the attracting point masses

Mar 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cemda..48....1k&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 48, no. 1, 1990, p. 1-21.

Statistics

Computation

Canonical Forms, Center Of Mass, Equations Of Motion, Hamiltonian Functions, Moments Of Inertia, Computational Astrophysics, Equilibrium Equations, Kinetic Energy, Potential Energy, Variable Mass Systems

Scientific paper

The dynamics of a system of n mutually attracting point masses is investigated analytically. The dynamical equivalence of this n-body system and a system of n(n-1)/2 noninteracting bodies is demonstrated, and a Hamiltonian formulation is derived which contains neither trigonometric functions nor radicals, so that the nonlinearity takes on a power character. Motion is broken down into relative motion and reference-frame motion, making it possible to obtain expressions for the relative position of equilibrium and for minor oscillations about this position.

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