A Modified Gooding Method to Calculate Inclination Functions |
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| Authors: | Wu Lian-da Wang Hong-bo |
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| Institution: | 1. Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing 210008;2. Key Laboratory of Space Object and Debris Observations, Chinese Academy of Sciences, Nanjing 210008;3. Key Laboratory of Space Flight Dynamics & Technology, Beijing Aerospace Control Center, Beijing 100094 |
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| Abstract: | In this paper, the expression of V klm(I) in the Gooding method is rewritten to be the form convenient for calculation, and a standard recursive lm procedure is used to calculate Aklm(I). We have rewritten the Gooding's program under the assumption that l and k have the same odd-even parity, this makes the program be shorten for one half, the computational effciency and readability of the program be raised, the computing time be shortened for 41%, and the computational accuracy and stability are also slightly improved. |
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| Keywords: | Celestial mechanics&mdash methods: numerical |
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