New periodic solutions of the three dimensional restricted problem

Details New periodic solutions of the three dimensional restricted problem New periodic solutions of the three dimensional restricted problem

Dec 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974cemec..10..475g&link_type=abstract

Celestial Mechanics, vol. 10, Dec. 1974, p. 475-495.

Physics

4

Celestial Mechanics, Earth-Moon System, Orbital Mechanics, Three Body Problem, Circular Orbits, Periodic Functions, Satellite Orbits, Two Body Problem

Scientific paper

A global review of symmetric solutions to the two- and three-dimensional restricted problem and to the general three body problem leads to new symmetric periodic orbits of the two body problem. Using regularized variables, it is shown that the new orbits are 'trivially' continuable to symmetric periodic orbits of the three-dimensional restricted problem.

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