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Tidal torques on infrequently colliding particle disks in binary systems and the truncation of the asteroid beltConditions leading to the truncation, at the 2:1 resonance, of a disk of infrequently colliding particles surrounding the primary of a binary system are studied numerically and analytically. Attention is given to the case in which the mass ratio, q, is sufficiently small (less than about 0.1) and the radius of the disk centered on the primary allowably larger, so that first-order orbit-orbit resonances between ring material and the secondary can lie within it. Collisions are found to be less frequent than q to the -2/3 power orbital periods (the period of the forced eccentricity at the 2:1 resonance), and truncation occurs and Kirkwood gaps are produced only if the particle eccentricity is less than some critical value, estimated to be of order q to the 5/9 power, or approximately 0.02 for the sun-Jupiter case having q equal to 10 to the -3rd power.
Document ID
19800058157
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Franklin, F. A.
(Harvard-Smithsonian Center for Astrophysics Cambridge, MA, United States)
Lecar, M.
(Harvard-Smithsonian Center for Astrophysics Cambridge, Mass., United States)
Lin, D. N. C.
(Cambridge University Cambridge, England; California, University, Santa Cruz, Calif., United States)
Papaloizou, J.
(Cambridge University Cambridge, United Kingdom)
Date Acquired
August 10, 2013
Publication Date
May 1, 1980
Publication Information
Publication: Icarus
Volume: 42
Subject Category
Astrophysics
Accession Number
80A42327
Funding Number(s)
CONTRACT_GRANT: NGR-09-015-213
Distribution Limits
Public
Copyright
Other

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