In this work we study the perturbation and the change in the orbital elements due to the earth’s magnetic field and the gravitational waves. The acceleration components are derived in the radial, transverse to it and normal to the orbital plane. The equation for the rates of variation of the elements is formed and solved to find the secular variation in the element for polar and equatorial satellites.
Vokrouhlicky, D. (1989) The Geomagnetic Effects on the Motion of an Electrically Charged Artificial Satellite. Celestial Mechanics and Dynamical Astronomy, 46, 85-104. https://doi.org/10.1007/BF02426715
Streetman, B. and Peck, M.A. (2006) New Synchronous Orbits Using the Geomagnetic Lorentz Force. AIAA Guidance, Navigation, and Control Conference, Keystone, 21-24 August 2006, 1677. https://doi.org/10.2514/6.2006-6804