Selenopotential field effects on lunar landing accuracy

Mathematics

Scientific paper

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Computerized Simulation, Lunar Gravitation, Lunar Gravitational Effects, Lunar Landing, Mathematical Models, Space Navigation, Boundary Value Problems, Gravitational Fields, Kalman Filters, Lunar Landing Sites, Matrix Theory, Vectors (Mathematics)

Scientific paper

Various gravity field models are reviewed and their influence on the amount of Delta 5 required for a precision landing is investigated. The effect of the models on navigation of a lunar lander, using a precision navigation scenario, is introduced. An altitude navigation sensor, using an extended Kalman filter, is established as the external updating sensor in order to improve on the uncertainty in the gravity model. The J(sub 2) term of the lunar potential model is the dominant term, and most of the models agree on the value of its coefficient. However, the discrepancy between the models grows as the order of the harmonics increases. Simulation results show that a refined lunar potential model would increase landing target accuracy, thereby reducing guidance uncertainty and requiring less Delta 5; however, the difference between the various models appears to have only a small effect on the Delta 5 required.

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