Periodic solutions in three-dimensional restricted three-body problem: 2. Loss of symmetry at the 1:1 resonance |
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Authors: | B B Kreisman |
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Institution: | 1.Astrospace Center of Lebedev Physical Institute,Russian Academy of Sciences,Moscow,Russia |
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Abstract: | Within the framework of the circular restricted three-body problem a family of inverse periodic orbits around the two attracting
bodies (the Egorov’s family) and families generated by it at the 1:1, 2:1, and 3:1 resonances for three-dimensional orbits
in the Sun-Earth and Earth-Moon systems are considered. Their relationship with families generated by orbits around the libration
points L
1, L
2 and L
3 is investigated. One of the families contains periodic solutions that seem promising as possible orbits for the space radio
telescope of the Millimetron project. |
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Keywords: | |
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