| Abstract: | 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. |
