A Study of Resonance in a Geocentric Satellite Including its Latitude and Second Order Tesseral Harmonic Due to Earth's Equatorial Ellipticity

The present paper deals with the study of resonance in a geocentric satellite including its latitude and the earth's equatorial ellipticity. We have studied the resonance between angular velocity of the satellite and earth's equatorial ellipticity parameter Γ (angle between the projection of satellite in the plane of equator and the minor axis of the earth's equatorial section). The object of this study is to determine amplitude and time period of the resonance oscillation by using a method given in Brown and Shook (1933). We have shown the effect of earth's equatorial ellipticity parameter Γ on amplitude and time period including φ (latitude of the satellite). We observed that for increasing values of the earth's equatorial ellipticity parameter Γ, the corresponding amplitude decreases and time period also decreases.