Mathematics – Dynamical Systems
Scientific paper
2008-12-14
Research in Astronomy and Astrophysics (RAA); Vol 9, No 9 (2009)
Mathematics
Dynamical Systems
8 Pages, LaTeX paper
Scientific paper
10.1088/raa.v9i9.69
The Poynting-Robertson(P-R) effect on Lyapunov stability of equilibrium points is being discussed in the the generalized photogravitational Chermnykh's problem when bigger primary is a sours of radiation and smaller primary is an oblate spheriod. We derived the equations of motion, obtained the equilibrium points and examined the linear stability of the equilibrium points for various values of parameter which have been used in the present problem. We have examined the effect of gravitational potential from the belt. The positions of the equilibrium points are different from the position in classical case. We have seen that due to the P-R effect all the equilibrium points are unstable in Lyapunov sense.
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