Periodic orbits around an oblate spheroid |
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| Authors: | I Stellmacher |
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| Institution: | (1) Bureau des Longitudes, Université P. et M. Curie, Paris, France |
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| Abstract: | The general properties of certain differential systems are used to prove the existence of periodic orbits for a particle around an oblate spheroid.In a fixed frame, there are periodic orbits only fori=0 andi near  /2. Furthermore, the generating orbits are circles.In a rotating frame, there are three families of orbits: first a family of periodic orbits in the vicinity of the critical inclination; secondly a family of periodic orbits in the equatorial plane with 0<e<1; thirdly a family of periodic orbits for any value of the inclination ife=0. |
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