Numerical study of the rectilinear isosceles restricted problem

Details Numerical study of the rectilinear isosceles restricted problem Numerical study of the rectilinear isosceles restricted problem

Aug 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979cemec..20..105p&link_type=abstract

Celestial Mechanics, vol. 20, Aug. 1979, p. 105-123.

Physics

4

Orbital Mechanics, Three Body Problem, Escape (Abandonment), Kepler Laws, Orbit Perturbation, Periodic Variations

Scientific paper

The orbit of a particle in the plane of symmetry of two equal-mass primaries in rectilinear Keplerian motion is studied. The surfaces of section are used to seek periodic orbits, examine their stability, and search for quasi-periodic orbits and regions of escape. For large values of the angular momentum C, the validity of the approximation of two fixed centers is verified. However, irregular families of orbits and resonance zones are also found. For small values of C, the approximation is no longer valid, but invariant curves are found whose interpretation might be interesting.

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