Hill regions for the general three-body problem

Details Hill regions for the general three-body problem Hill regions for the general three-body problem

Sep 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975cemec..12..115m&link_type=abstract

Celestial Mechanics, vol. 12, Sept. 1975, p. 115-129.

Physics

51

Hill Method, Orbital Mechanics, Three Body Problem, Angular Momentum, Celestial Mechanics, Circular Orbits, Jacobi Integral

Scientific paper

For the general three-body problem, the existence is demonstrated of
regions in physical space and configuration space where motion cannot
occur. The description of these regions turns out to be most similar to
the Hill regions of the circular restricted problem of three bodies.
These regions depend upon the constants of energy and angular momentum.

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