TITLE:
Analysis of Effect of Solar Radiation Pressure of Bigger Primary on the Evolution of Periodic Orbits
AUTHORS:
Niraj Pathak, V. O. Thomas
KEYWORDS:
Restricted Three Body Problem, Low Energy Trajectory Design, Periodic Orbits, Solar Radiation Pressure, Poincare Surface of Section
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.6 No.4,
December
27,
2016
ABSTRACT: Evolution of periodic orbits in Sun-Mars and Sun-Earth systems are analyzed usingPoincare surface of section technique and the effects of solar radiation pressure ofbigger primary and actual oblatenessof smaller primary on these orbits areconsidered.It is observed that solar radiation pressureof bigger primary has substantial effect on period, orbit’s shape, size and their position in the phase space. Since these orbits can be used for the design of low energy transfer trajectories, so perturbationsdue to solar radiation pressure has to be understood and should be taken care ofduring trajectory design. It is also verified that stability of such orbits are negligibleso they can be used as transfer orbit. For each pair of solar radiation pressureqand Jacobi constantCwe get two separatrices where stability of island becomes zero. In this paper,detailed stability analysis of periodic orbit having two loops is given whenq= 0.9845.