| Abstract: | We present special generating plane orbits, the vertical-critical orbits, of the coplanar general three-body problem. These
are determined numerically for various values of m3, for the entire range of the mass ratio of the two primaries. The vertical-critical orbits are necessary in order to specify
the vertically stable segments of the families of plane periodic orbits, and they are also the starting points of the families
of the simplest possible three-dimensional periodic orbits, namely the simple and double periodic. The initial conditions
of the vertical-critical periodic orbits of the basic families l, m, i, h, b and c and their stability parameters are determined.
This revised version was published online in July 2006 with corrections to the Cover Date. |
