Periodic solutions in three-dimensional restricted three-body problem: 2. Loss of symmetry at the 1:1 resonance

Details Periodic solutions in three-dimensional restricted three-body problem: 2. Loss of symmetry at the 1:1 resonance Periodic solutions in three-dimensional restricted three-body problem: 2. Loss of symmetry at the 1:1 resonance

Feb 2012

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012cosre..50...65k&link_type=abstract

Cosmic Research, Volume 50, Issue 1, pp.65-75

Physics

Scientific paper

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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