Influence of the earth’s dominant oblateness parameter on the low formation orbits of micro-satellites

The objective of the present work is to investigate the effect of the Earth’s oblateness parameters, particularly J2, on the formation flight of micro satellites in low circular orbits. For this purpose, the Clohessy-Wiltshire equations, which have been accordingly modified, will be reviewed to arrive at a convenient formulation as a set of linearized differential equations of motion to include the J2 effects in the LVLH frame of reference. Comparison will then be made between the orbit of twin-satellite formation flying with respect to that predicted by the Hill-Clohessy-Wiltshire equation. Results obtained compare well with those in the literature and can be utilized for further development, parametric studies and mission design.