The Prograde C7 Resonance for Earth and Mars Satellite Orbits |
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| Authors: | S?awomir Breiter |
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| Institution: | (1) Astronomical Observatory, A. Mickiewicz University, Słoneczna 36, PL 60-286 Poznań, Poland |
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| Abstract: | 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.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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| Keywords: | artificial satellites lunisolar perturbations resonances analytical methods |
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