Planar Orbits Through Second Variations

Details Planar Orbits Through Second Variations Planar Orbits Through Second Variations

Nov 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974ap%26ss..31..155z&link_type=abstract

Astrophysics and Space Science, Volume 31, Issue 1, pp.155-167

Astronomy and Astrophysics

Astrophysics

5

Scientific paper

The development and application of a ‘predictor-corrector’ method for the computation of families of periodic motions as well as of singular periodic solutions from which ‘branchings’ or change in the stability character occur, based on the use of second order variations is presented. Numerical results obtained by means of this method are also given. It is found that this algorithm consumes somewhat less computer time in determining orbits-members of a family of periodic orbits, while it represents a unique tool for the determination of ‘branchings’ of various orders, as well as of the precise members of each family at which the orbits change from unstable to stable and viceversa.

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