Two-body motion under the inverse square central force and equivalent geodesic flows

Details Two-body motion under the inverse square central force and equivalent geodesic flows Two-body motion under the inverse square central force and equivalent geodesic flows

Aug 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cemec..15..467b&link_type=abstract

Celestial Mechanics, vol. 15, Aug. 1977, p. 467-476.

Computer Science

13

Celestial Mechanics, Geodesic Lines, Hyperbolic Trajectories, Orbital Mechanics, Parabolic Flight, Two Body Problem, Energy Distribution, Function Space, Hamiltonian Functions, Hodographs, Kepler Laws, Mapping, Topology

Scientific paper

In this paper the fixed energy surfaces for the two-body problem for parabolic and, in particular, hyperbolic motion are completely determined by utilizing an earlier work of Moser (1970). The characterization of these fixed energy manifolds yields the explicit solutions to the above problems in an elementary way for arbitrary dimensions

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