THE HILL PROBLEM WITH OBLATE SECONDARY: NUMERICAL EXPLORATION |
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Authors: | AE Perdiou VV Markellos CN Douskos |
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Institution: | (1) Department of Engineering Sciences, University of Patras, GR-26500 Patras, Greece |
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Abstract: | We introduce a three-dimensional version of Hill’s problem with oblate secondary, determine its equilibrium points and their
stability and explore numerically its network of families of simple periodic orbits in the plane, paying special attention
to the evolution of this network for increasing oblateness of the secondary. We obtain some interesting results that differentiate
this from the classical problem. Among these is the eventual disappearance of the basic family g′ of the classical Hill problem and the existence of out-of-plane equilibrium points and a family of simple-periodic plane
orbits non-symmetric with respect to the x-axis. |
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Keywords: | equilibrium points Hill problem oblate secondary periodic orbits stability |
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