Mathematics – Dynamical Systems
Scientific paper
2009-02-08
Astrophysics and Space Science, Volume 323, Issue 1, pp.57-63 ,09/2009
Mathematics
Dynamical Systems
LaTeX2e Paper
Scientific paper
10.1007/s10509-009-0047-1
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.
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