The zonal satellite problem - II: Near-escape flow
The study of the zonal satellite problem is continued by tackling the situation r→∞. New equations of motion (for which the infinite distance is a singularity) and the corresponding first integrals of energy and angular momentum are set up. The infinity singularity is blown up via McGehee-t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Astronomical Observatory, Department of Astronomy, Belgrade
1998-01-01
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| Series: | Serbian Astronomical Journal |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/1450-698X/1998/1450-698X9858037M.pdf |
| Summary: | The study of the zonal satellite problem is continued by tackling the
situation r→∞. New equations of motion (for which the infinite distance is a
singularity) and the corresponding first integrals of energy and angular
momentum are set up. The infinity singularity is blown up via McGehee-type
transformations, and the infinity manifold is pasted on the phase space. The
fictitious flow on this manifold is described. Then, resorting to the
rotational symmetry of the problem and to the angular momentum integral, the
near-escape local flow is depicted. The corresponding phase curves are
interpreted as physical motions. |
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| ISSN: | 1450-698X 1820-9289 |