The ballistic capture is the phenomenon, where a massless particle changes its Kepler-energy around one of the primaries from positive to negative. Belbruno used the time as measure of the capture. In this paper we study the phenomenon of capture by using the variation of the polar angle of the relative position vector of the small body around the capturing planet. We defined the capture effect of the planet to the captured body, as the variation of this polar angle during the capture. Several zones are determined around the capturing body, in which, for a given velocity, the capture take place. These regions are called capture domains. In this paper we show that the capture domain is a subset of scattering region and chaos in the capture domain is transient.
Publications of the Astronomy Department of the Eotvos Lorand University
- Pub Date:
- May 2007