# Existence of equilibrium points and their linear stability in the generalized photogravitational Chermnykh-like problem with power-law profile

@article{Kushvah2012ExistenceOE, title={Existence of equilibrium points and their linear stability in the generalized photogravitational Chermnykh-like problem with power-law profile}, author={Badam Singh Kushvah and Ram Kishor and U. Dolas}, journal={Astrophysics and Space Science}, year={2012}, volume={337}, pages={115-127} }

We consider the modified restricted three body problem with power-law density profile of disk, which rotates around the center of mass of the system with perturbed mean motion. Using analytical and numerical methods, we have found equilibrium points and examined their linear stability. We have also found the zero velocity surface for the present model. In addition to five equilibrium points there exists a new equilibrium point on the line joining the two primaries. It is found that L1 and L3…

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