The Application of Quasi-Mean-Element-Method to LEO under Additional Perturbation due to Change of Coordinate System

Statistics – Applications

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Celestial Mechanics, Reference Systems, Methods: Analytical

Scientific paper

It is necessary to consider the additional perturbation caused by the oscillation of Earth's equator when working on the low earth orbit (LEO). Since 1960s, an intermediate orbit coordinate system using true equator and mean equinox (TEME) is introduced. It effectively solves the problem and has been widely used in various applications till today. But this traditional frame is purely conceptual and has always been a trouble in converting between these systems especially for those who are unfamiliar with celestial frames. As proved in a previous paper, it is possible to avoid the intermediate TEME frame and conversions between osculating elements, and mean elements can be completed in a consistent geocentric celestial coordinate system where only short-period terms are required. Here with the improved secular and long-period terms, it is further available to predict the orbit analytically with quasi-mean-element-method all in the same celestial frame, reaching the accuracy of 10-6 in Earth's radius. The results show and suggest that celestial coordinate system (J2000.0 for the time being) can be used throughout any applications without having to introduce TEME system as intermediate frame any more.

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