The Prograde C7 Resonance for Earth and Mars Satellite Orbits

Details The Prograde C7 Resonance for Earth and Mars Satellite Orbits The Prograde C7 Resonance for Earth and Mars Satellite Orbits

Nov 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000cemda..77..201b&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 77, Issue 3, p. 201-214 (2000).

Astronomy and Astrophysics

Astronomy

4

Artificial Satellites, Lunisolar Perturbations, Resonances, Analytical Methods, Artificial Satellites, Lunisolar Perturbations, Resonances, Analytical Methods

Scientific paper

The resonance C7 is a 1:1 eccentricity (apsidal) resonance between the longitude of a satellite's pericentre and the mean longitude of the Sun. A previous paper by the author (Breiter, 1999) identified it as the strongest of the lunisolar apsidal resonances. After the reduction to a single degree of freedom, the problem is studied qualitatively for the prograde orbits around the Earth and Mars. Pitchfork, saddle-node, and saddle connection bifurcations give rise to a complicated phase flow, which may involve up to nine critical points.

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