A Direct, Single-Step Approach for Calculating Satellite Orbital Positions

Statistics – Applications

Scientific paper

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Scientific paper

Determination of a satellite's position is usually accomplished by solving Kepler's equation that utilizes an intermediate parameter E, the eccentric anomaly. This transendental equation is solved using a recursive or iterative approach. This method is effective, but requires multiple calculations that take time to perform. Furthermore, iterative procedures cannot be easily performed using certain calculating techniques such as spread sheets. Solving Kepler's equation in an iterative fashion has been the means of calculating the orbital positions of celestial bodies in elliptical orbits for almost 400 years. This paper develops a non-recursive technique for achieving the same objective. This approach is simple, can be implemented within a spread sheet and greatly reduces the execution time in critical real-time digital signal processing applications.

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