Linearization of the Hamiltonian around the triangular equilibrium points in the generalized photogravitational Chermnykh's problem

Linearization of the Hamiltonian is being performed around the triangular equilibrium points in the generalized photogravitational Chermnykh's problem. The bigger primary is being considered as a source of radiation and small primary as an oblate spheroid. We have found the normal form of the second order part of the Hamiltonian. For this we have solved the aforesaid set of equations. . The effect of radiation pressure, gravitational potential from the belt on the linear stability have been examined analytically and numerically.