Periodic orbits around an oblate spheroid

Details Periodic orbits around an oblate spheroid Periodic orbits around an oblate spheroid

Feb 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981cemec..23..145s&link_type=abstract

Celestial Mechanics, vol. 23, Feb. 1981, p. 145-158.

Mathematics

5

Celestial Mechanics, Equations Of Motion, Oblate Spheroids, Particle Motion, Equatorial Orbits, Gravitational Effects, Matrices (Mathematics), Periodic Functions, Rotating Bodies

Scientific paper

The general properties of nearly-integrable differential systems are examined to prove the existence of periodic orbits for a particle around an oblate spheroid. In a fixed frame only periodic orbits for i equals 0 and i near pi/2 are observed, and the generating orbits are circles. In a rotating frame, three families of orbits are found, periodic orbits in the vicinity of the critical inclination, periodic orbits in the equatorial plane with eccentricity greater than 0 and less than 1, and periodic orbits for any value of the inclination if the eccentricity is equal to 0.

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