On the covering of a Hill’s region by solutions in the restricted three-body problem
We consider two classical celestial-mechanical systems: the planar restricted circular three-body problem and its simplification, the Hill’s problem. Numerical and analytical analyses of the covering of a Hill’s region by solutions starting with zero velocity at its boundary are presented. We show t...
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| Veröffentlicht in: | Celestial mechanics and dynamical astronomy 2017-03, Vol.127 (3), p.331-341 |
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| container_title | Celestial mechanics and dynamical astronomy |
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| creator | Kozlov, Valery Polekhin, Ivan |
| description | We consider two classical celestial-mechanical systems: the planar restricted circular three-body problem and its simplification, the Hill’s problem. Numerical and analytical analyses of the covering of a Hill’s region by solutions starting with zero velocity at its boundary are presented. We show that, in all considered cases, there always exists an area inside a Hill’s region that is uncovered by the solutions. |
| doi_str_mv | 10.1007/s10569-016-9729-5 |
| format | Article |
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| ispartof | Celestial mechanics and dynamical astronomy, 2017-03, Vol.127 (3), p.331-341 |
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| language | eng |
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| source | SpringerNature Journals |
| subjects | Aerospace Technology and Astronautics Astronomy Astrophysics Astrophysics and Astroparticles Boundaries Celestial mechanics Circularity Classical Mechanics Dynamical systems Dynamical Systems and Ergodic Theory Geophysics/Geodesy Mathematical analysis Mathematical models Numerical analysis Orbits Original Article Physics Physics and Astronomy Simplification |
| title | On the covering of a Hill’s region by solutions in the restricted three-body problem |
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