Periodic solutions for an equatorial satellite in the J2 field

Details Periodic solutions for an equatorial satellite in the J2 field Periodic solutions for an equatorial satellite in the J2 field

Mar 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978a%26a....64..267d&link_type=abstract

Astronomy and Astrophysics, vol. 64, no. 1-2, Mar. 1978, p. 267-272. In French.

Astronomy and Astrophysics

Astrophysics

1

Celestial Mechanics, Equatorial Orbits, Natural Satellites, Periodic Functions, Poincare Problem, Ellipticity, Energy Levels, Harmonic Oscillators, Kepler Laws, Reference Systems

Scientific paper

The problem of the motion of an equatorial satellite in the J2 field is formulated in variables of a perturbed harmonic oscillator. The Poincare method of analytic continuation is applied to obtain periodic solutions, of which two classes appear. The first is in a moving frame for continuous values of the eccentricity of the generating ellipse, and depends on the variation of the energy around the energy level of the generating orbit. The second class of solutions is in a fixed frame for discrete values of the eccentricity, and corresponds to a well-defined energy level.

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