Abstract
In this research article, we have investigated resonant curves due to the rate of change of earth’s equatorial ellipticity parameter (γ̇), steady-state value of the angular velocity of the moon (θ̇mo), and angular velocity of barycenter (α0̇) in the Earth-Moon system. Equations of motion of the moon are determined in a spherical coordinate system with the help of the gravitational potential of the earth. By using the unperturbed solution, equations of motion of the moon reduced into the second-order differential equation. From the solution it is observed that resonance occurs due to the frequencies γ̇, θ̇m0, and α0̇ at the resonant points θ̇m0=2γ̇, 3θ̇m0=2γ̇, θ̇m0=γ̇, θ̇m0=α̇0. Finally, we have analyzed the phase portrait and phase space by method of Poincaré section when the system is free from forces.
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