Author： Perdios E.A.
Publisher： Springer Publishing Company
ISSN： 0004-640X
Source： Astrophysics and Space Science, Vol.278, Iss.4, 2001-01, pp. : 405-407
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Abstract
The known intervals of possible stability, on the mgr-axis, of basic families of 3D periodic orbits in the restricted three-body problem are extended into μ-A_1 regions for oblate larger primary, A_1 being the oblateness coefficient. Eight regions, corresponding to the basic stable bifurcation orbits l1v, l′1v, l2v, l3v, m1v, m′1v, m2v, i1v are determined and related branching 3D periodic orbits are computed systematically and tested for stability. The regions for l1v, m1v and m2v survive the test emerging as the regions allowing the simplest types of stable low inclination 3D motion. For l′1v, l2v, l3v, m′1v and m2v oblateness seems to have a stabilising effect, while stability of i1v survives only for a very small range of A_1values.
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