The critical inclination problem with small eccentricity |
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| Authors: | Alan H Jupp |
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| Institution: | (1) Department of Applied Mathematics and Theoretical Physics, University of Liverpool, L69 3BX Liverpool, England |
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| Abstract: | A qualitative solution is presented of the critical inclination problem in artificial satellite theory for motions in which the orbits are nearly circular. The effects of all the zonal harmonics are taken into account, and bothshallow anddeep resonance regimes are considered. An investigation of the (e sing,e cosg)-plane reveals that six fundamentally different types of phase-plane portraits exist. These portraits illustrate the long-term behaviour of the eccentricity and line of apsides. |
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