Published February 1984
| public
Journal Article
A simple derivation of capture probabilities for the J+1:J and J+2:J orbit-orbit resonance problems
- Creators
- Borderies, Nicole
- Goldreich, Peter
Abstract
We present a simplified analytic derivation of the capture probabilities for the j+1∶j and j+2∶j orbital resonances. We apply Henrard's method which is based on an extension of the theory of adiabatic invariants and recover the results originally obtained by Yoder.
Additional Information
© 1984 D. Reidel publishing Company. Received 4 March; accepted 26 September, 1983. Contribution number 3874 from the Division of Geological and Planetary Sciences, California Institute of Technology. We are grateful to Dr J. Henrard for sending us preprints of his work and for pointing out to us that the choice of cos 2r rather than cos r in H_2 is necessary in order to maintain the characteristic of d'Alembert. This research was supported by NASA grant NGL-05-002-003 and NSF grant AST 80-20005. N. B. acknowledges support from ATP planetologie 1982 and thanks Dr J. Cuzzi for his hospitality at AMES research cent er where this paper was completed.Additional details
- Eprint ID
- 42760
- DOI
- 10.1007/BF01231120
- Resolver ID
- CaltechAUTHORS:20131127-134520567
- NGL-05-002-003
- NASA
- AST 80-20005
- NSF
- ATP planetologie 1982
- Created
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2013-12-02Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field
- Caltech groups
- Division of Geological and Planetary Sciences
- Other Numbering System Name
- Caltech Division of Geological and Planetary Sciences
- Other Numbering System Identifier
- 3874