Lyapunov characteristic exponents in the generalized photo-gravitational Chermnykh-like problem with power-law profile

• We have considered modified RTBP with radiation pressure, oblateness and a disk.
• We have derived equations of motions and variational equations.
• We have computed first order and higher order LCEs with their spectrums.
• We have found dynamical properties of the problem.

The stochastic properties of a dynamical system can be explained well after computing the Spectrum of Lyapunov Characteristic Exponents (LCEs) of the system. The LCEs provide characterization of dynamical behavior and measure average rate of divergence or convergence of neighboring trajectories in the phase space. In this paper, we have studied the dynamical behavior of generalized photo-gravitational Chermnykh-Like problem with power-law profile with the help of LCEs. We have considered bigger primary as a radiating body and smaller one as an oblate spheroid with the addition of a disk moving in a circular orbit around common center of mass of the primaries. It is found that the trajectories are chaotic in nature due to the positive LCEs. The effect of radiation pressure, oblateness and the disk on LCEs of the system are analyzed. It is observed that these factors play a significant role to characterize the chaotic nature of the trajectory.