In this paper, we have investigated the effect of earth’s equatorial ellipticity parameter and resistive force on the resonant curve of a geo-synchronous satellite using perturbations technique. Equations of motion of the satellite are determined in spherical coordinates $(r,\theta ,\varphi )$ with the help of gravitational potential of the earth. Furthermore, the equations of motion of the satellite are simplified in the form of second order differential equation by using perturbations technique. It is observed from the solution that resonance occurs due to the frequencies ${\dot{\theta }}_E$ (angular rate of rotation of the earth) and $\dot{\gamma }$ (where $\gamma$ be the measured from minor axis of the earth’s equatorial ellipse to the projection of the satellite). Finally, we study the effect of the earth’s equatorial ellipticity parameter and the resistive force on the resonant curve with the help of different graphs. It is observed that amplitude A decreases when the magnitude of the resistive force increases.

在本文中，我们使用摄动技术研究了地球赤道椭圆率参数和电阻对地球同步卫星共振曲线的影响。在球坐标系中确定卫星的运动方程$（\mathrm{[R}，\theta ，\varphi ）$借助地球的引力。此外，利用摄动技术将卫星的运动方程简化为二阶微分方程。从解决方案中可以看出，共振是由于频率${\dot{\theta }}_{Ë}$ （地球的自转角速度）和 $\dot{\gamma }$ （在哪里 $\gamma$是从地球赤道椭圆的短轴到卫星投影的距离。最后，借助不同的图形，我们研究了地球赤道椭圆率参数和电阻对共振曲线的影响。可以观察到，当阻力的大小增加时，振幅A减小。