Sequential solution to Kepler’s equation
Seven sequential starter values for solving Kepler’s equation are proposed for fast orbit propagation. The proposed methods have constant complexity (not iterative), do not require pre-computed data, and can be implemented in just a few lines of code. The resulting sequential orbit propagation techn...
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| Veröffentlicht in: | Celestial mechanics and dynamical astronomy 2010-09, Vol.108 (1), p.59-72 |
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| container_title | Celestial mechanics and dynamical astronomy |
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| creator | Davis, Jeremy J. Mortari, Daniele Bruccoleri, Christian |
| description | Seven sequential starter values for solving Kepler’s equation are proposed for fast orbit propagation. The proposed methods have constant complexity (not iterative), do not require pre-computed data, and can be implemented in just a few lines of code. The resulting sequential orbit propagation techniques can be done at different levels of accuracy and speed, depending essentially on the value of orbit eccentricity. Accuracy and algorithmic complexity are evaluated for all the proposed approaches and compared with several existing single-point techniques to solve Kepler’s equation. The new methods obtain improved accuracy at lower computational cost as compared to the best existing methods. |
| doi_str_mv | 10.1007/s10569-010-9292-4 |
| format | Article |
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| ispartof | Celestial mechanics and dynamical astronomy, 2010-09, Vol.108 (1), p.59-72 |
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| language | eng |
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| source | SpringerNature Journals |
| subjects | Aerospace Technology and Astronautics Algorithms Astrophysics Astrophysics and Astroparticles Classical Mechanics Dynamical Systems and Ergodic Theory Geophysics/Geodesy Mathematical analysis Orbits Original Article Physics Physics and Astronomy |
| title | Sequential solution to Kepler’s equation |
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