Analytical Estimation of Time Dilation of a Satellite in Elliptical Orbit

摘要

This article describes the analytical estimation of time dilation along the elliptical orbit of a satellite due to effects of relativity where the functioning has been time-dependent. The satellites in circular orbit are calibrated as moving frame of reference at constant velocity in constant non inertial frame of reference, namely Global Positioning System satellites where effects of both relativistic and gravitational time dilations can be seen. This article deals with the variation of the time dilation along the elliptical orbit whose speed of reference frame varies with respect to time and also varying the non-inertial frame of reference. The relativistic effects on the time dilation, is caused by the Earth rotation, due to the orbit eccentricity. The estimated values have a scope in the field of space mechanics. As a result the plot has been intended along the orbit comparing to circular orbit in both special and general relativity perspective.