Resonance in the perturbations of a synchronous satellite due to angular rate of the earth-moon system around the sun and the earth’s rotation rate

Abstract

Resonance in the perturbations of a synchronous satellite due to angular rate of the earth-moon system around the sun and the earth's rotation rate AbstractThis paper investigates resonances in the perturbations of a synchronous satellite including its latitude, angular rate of the earth-moon system around the sun and the earth's rotation rate about its axis. This is found that resonances occur due to the commensurability between (i) angular velocity of the satellite and angular rate of earth's rotation about its axis and (ii) angular rate of the earth-moon system around the sun and angular rate of the rotation of the earth. Amplitude and time-period of the oscillation at the resonance points are determined using the procedure of Brown and Shook [3]. Effect of  (orbital angle of the mass-centre of the earth-moon system around the sun) on amplitude and time period is also analyzed. It is found that for increasing the values of  from 0  to 45  amplitude decreases and time period also decreases. Effect of time on the latitude of the satellite including earth oblateness is also studied. It is seen that for increasing the value of t , there is a small change in   , the latitude of the synchronous satellite.

Dynamics of Resonant Curves of Earth-Moon system under the influence of Resistive Force using Unperturbed Solution

“…Rufu and Canup (2020) [22] have discussed the tidal evolution of the evection resonance, quasiresonance, and the angular momentum of the Earth-Moon system. Yadav et al ( -2022) ( [12], [25] [26], [27], [28], [29] ) has been worked on resonances in the motion of Geo-centric satellite, Geo-synchronous satellite, and the Earth-Moon system under the influence of gravitational forces of the Earth, the Sun, and the Moon. They investigated the resonant points and oscillatory amplitudes using an unperturbed solution and perturbation technique.…”