Mathematics – Dynamical Systems
Scientific paper
Mar 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007p%26ss...55..475k&link_type=abstract
Planetary and Space Science, Volume 55, Issue 4, p. 475-493.
Mathematics
Dynamical Systems
5
Scientific paper
The backbone of the analysis in most dynamical systems is the study of periodic motions, since they greatly assist us to understand the structure of all possible motions. In this paper, we deal with the photogravitational version of the rectilinear restricted four-body problem and we investigate the dynamical behaviour of a small particle that is subjected to both the gravitational attraction and the radiation pressure of three bodies much bigger than the particle, the primaries. These bodies are always in syzygy and two of them have equal masses and are located at equal distances from the third primary. We study the effect of radiation on the distribution of the periodic orbits, their stability, as well as the evolution of the families and their main features.
Arribas María
Elipe Antonio
Kalvouridis Telemachus J.
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