Frequency analysis of Halo orbits in the Sun-Mercury system

Mercury is the planet which gains maximum radiation pressure from the Sun. On 20th October 2018 Bepicolombo was launched to do the comprehensive study of the magnetic field, magnetosphere, surface and internal structure of the Mercury. For this we need to maintain the nominal multi-revolution halo orbits. In this paper, we have considered the Sun-Mercury-satellite in the model of restricted three body problem with zero eccentricity. Here continuation method have been used to obtain the halo orbits around the Libration points L1 and L2 . We observe that the frequencies remain constant throughout the time interval using wavelet transform. The ridge plot at the initial guess confirms the periodicity of the halo orbits.