Numerical continuation of families of frozen orbits in the zonal problem of artificial satellite theory

Details Numerical continuation of families of frozen orbits in the zonal problem of artificial satellite theory Numerical continuation of families of frozen orbits in the zonal problem of artificial satellite theory

Jun 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995cemda..62..167l&link_type=abstract

Celestial Mechanics & Dynamical Astronomy, Volume 62, Issue 2, pp.167-181

Astronomy and Astrophysics

Astronomy

11

Frozen Orbits, Periodic Orbits, Artificial Satellite

Scientific paper

In the zonal problem of a satellite around the Earth, we continue numerically natural families of periodic orbits with the polar component of the angular momentum as the parameter. We found three families; two of them are made of orbits with linear stability while the third one is made of unstable orbits. Except in a neighborhood of the critical inclination, the stable periodic (or frozen) orbits have very small eccentricities even for large inclinations.

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