Borderies, Nicole and Goldreich, Peter (1984) A simple derivation of capture probabilities for the J+1:J and J+2:J orbit-orbit resonance problems. Celestial Mechanics, 32 (2). pp. 127-136. ISSN 0923-2958. doi:10.1007/BF01231120. https://resolver.caltech.edu/CaltechAUTHORS:20131127-134520567
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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.
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| 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. | |||||||||
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| Issue or Number: | 2 | |||||||||
| DOI: | 10.1007/BF01231120 | |||||||||
| Record Number: | CaltechAUTHORS:20131127-134520567 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20131127-134520567 | |||||||||
| Official Citation: | A simple derivation of capture probabilities for the J+1:J and J+2:J orbit-orbit resonance problems Nicole Borderies, Peter Goldreich Pages 127-136 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 42760 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 02 Dec 2013 16:50 | |||||||||
| Last Modified: | 10 Nov 2021 16:27 |
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