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Periodic Trojan-type orbits in the earth-sun systemPeriodic orbits about the triangular equilibrium points are found for the planar restricted three-body problem using the earth-sun system. The maximum semimajor axis for tadpole orbits ranges from the infinitesimal orbit at 1.000 AU to the near-limiting orbit at 1.00285 AU. Horseshoe orbits are found for 1.0029 to 1.0080 AU, larger horseshoes being unstable because of close approaches to the earth. Using stability tests devised by Rabe (1961, 1962), the limit of stability for nonperiodic orbits is found to occur for maximum semimajor axes near 1.0020 AU. In addition, near-periodic tadpole orbits appear to be stable against perturbations by Jupiter and Venus for periods of at least 10,000 yr. The possibility that minor planets actually exist in such orbits is considered.
Document ID
19740045417
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Weissman, P. R.
Wetherill, G. W.
(California, University Los Angeles, Calif., United States)
Date Acquired
August 7, 2013
Publication Date
March 1, 1974
Publication Information
Publication: Astronomical Journal
Volume: 79
Subject Category
Space Sciences
Accession Number
74A28167
Funding Number(s)
CONTRACT_GRANT: NGL-05-007-005
Distribution Limits
Public
Copyright
Other

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