RESONANT PERIODIC ORBITS IN SUN-JUPITER AND SUN-MERCURY PHOTOGRAVITATIONAL RESTRICTED THREE-BODY PROBLEM

We explore the effect of radiation pressure of the Sun on the resonant periodic orbits in the Sun-Jupiter and Sun-Mercury systems, in the frame work of planar circular restricted three body problem, with the help of Poincaré surface of section. First order and and second order interior resonances are located. The effect of radiation pressure is studied on the location and size of periodic orbits. By increasing the radiation pressure, we have located the first merging and second merging points of first order interior resonance periodic orbits for different values of Jacobian constant C. At the time of merging, these orbits become near-circular. The period and size of these orbits reduce with the increase in radiation pressure.