The zero energy three body problem

Details The zero energy three body problem The zero energy three body problem

Jun 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978iumj...27..409h&link_type=abstract

Indiana University Mathematics Journal, vol. 27, May-June 1978, p. 409-447.

Mathematics

4

Cosmology, Equations Of Motion, Gravitational Effects, Particle Motion, Three Body Problem, Body Kinematics, Hamiltonian Functions, Manifolds (Mathematics), Potential Energy, Universe

Scientific paper

The problem of central configuration is examined in terms of a classical three body problem, i.e., three bodies moving solely under the influence of gravity. Applications to the dynamics of an expanding universe are presented, with planar and spatial problems considered separately. The growth of the velocities of the particles of the system is discussed within the framework of Hamiltonian equations of motion.

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