On Sitnikov-like motions generating new kinds of 3D periodic orbits in the R3BP with prolate primaries

Details On Sitnikov-like motions generating new kinds of 3D periodic orbits in the R3BP with prolate primaries On Sitnikov-like motions generating new kinds of 3D periodic orbits in the R3BP with prolate primaries

Jan 2012

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012ap%26ss.337...99d&link_type=abstract

Astrophysics and Space Science, Volume 337, Issue 1, pp.99-106

Astronomy and Astrophysics

Astrophysics

R3Bp, Prolate Primaries, Equilibrium Points, Rectilinear Motions, 3D Periodic Orbits

Scientific paper

The existence of new equilibrium points is established in the restricted three-body problem with equal prolate primaries. These are located on the Z-axis above and below the inner Eulerian equilibrium point L 1 and give rise to a new type of straight-line periodic oscillations, different from the well known Sitnikov motions. Using the stability properties of these oscillations, bifurcation points are found at which new types of families of 3D periodic orbits branch out of the Z-axis consisting of orbits located entirely above or below the orbital plane of the primaries. Several of the bifurcating families are continued numerically and typical member orbits are illustrated.

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