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Ground- and space-based optical observation is an efficient way to catalog objects in the cislunar space. Initial orbit determination based on optical data is still an open problem for cislunar objects. The motion of these objects usually follows the law of three bodies instead of the two-body one, so current algorithms based on the two-body relation should be revised. Moreover, due to the long duration of most cislunar objects, optical observations of even hours can cover only a small fraction of one orbit, making the initial orbit determination of these objects a typical too-short-arc problem, which is difficult. A way to address this problem is to use the admissible region. In this study, an efficient algorithm constrained by the admissible region is proposed. It is easy to implement because it uses only simple iterations. Its efficiency is proven by comparing it with that of one traditional initial orbit determination algorithm.
Campbell, T., Battle, A., Gray, B., Chesley, S. R., Farnocchia, D., Pearson, N., Halferty, G., Reddy, V., Furfaro, R. Physical characterization of moon impactor WE0913A. The Planetary Science Journal, 2023, 4(11): 217.
Milani, A., Gronchi, G. F., Farnocchia, D., Knežević, Z., Jedicke, R., Denneau, L., Pierfederici, F. Topocentric orbit determination: Algorithms for the next generation surveys. Icarus, 2008, 195(1): 474–492.
Tommei, G., Milani, A., Rossi, A. Orbit determination of space debris: Admissible regions. Celestial Mechanics and Dynamical Astronomy, 2007, 97(4): 289–304.
Liu, L., Xi, X. N., Rong, P. Z, Wang, G. B. An method and corresponding arithmetic of initial orbit determination based on sparse space-based angle measurements. Journal of Astronautics, 2009, 30: 870–876. (in Chinese)
Liu, L., Cao, J. Orbit determination of high-orbit space targets based on space-based optical angle measurement. Acta Optica Sinica, 2021, 41: 1912002. (in Chinese)
Gan, Q. B., Ma, J. Y., Lu, B. K., Chen, W. S., Zhang, J. An initial orbit determination method using intersatellite angle measurement. Journal of Astronautics, 2007, 28: 619–622. (in Chinese)
Zhao, K., Gan, Q., Liu, J. Initial orbit determination for space-based optical space surveillance Acta Aeronautica Sinica, 2023, 44: 326465. (in Chinese)
Milani, A., Gronchi, G. F., Knezevic, Z. Orbit determination with very short arcs: Ⅱ. Identifications. Icarus, 2005, 179: 350–374.
Liu, L., Zhang, W. A method of short-arc orbit determination for the transfer orbit of lunar probes. Chinese Astronomy and Astrophysics, 2007, 31(3): 288–295.
Milani, A., Gronchi, G. F., Vitturi, M. D. M., Knežević, Z. Orbit determination with very short arcs. I admissible regions. Celestial Mechanics and Dynamical Astronomy, 2004, 90(1): 57–85.
Ansalone, L., Curti, F. A genetic algorithm for Initial Orbit Determination from a too short arc optical observation. Advances in Space Research, 2013, 52(3): 477–489.
Li, X.-R., Wang, X. Genetic algorithm for initial orbit determination with too short arc. Chinese Astronomy and Astrophysics, 2017, 41: 76–91.
Celletti A., Pinzari G. Four classical methods for determining planetary elliptic elements: A comparison. Celestial Mechanics and Dynamical Astronomy, 2005, 93: 1–52
Taff, L. G. On initial orbit determination. The Astronomical Journal, 1984, 89: 1426.
Milani, A., Gronchi, G. F., Knežević, Z., Sansaturio, M. E., Arratia, O. Orbit determination with very short arcs Ⅱ. Identifications. Icarus, 2005, 179(2): 350–374.
Brumberg, V. A. On relativistic equations of motion of an Earth satellite. Celestial Mechanics and Dynamical Astronomy, 2004, 88(2): 209–225.
Park, R. S., Folkner, W. M., Williams, J. G., Boggs, D. H. The JPL planetary and lunar ephemerides DE440 and DE441. The Astronomical Journal, 2021, 161: 105.
Gooding, R. H. A new procedure for the solution of the classical problem of minimal orbit determination from three lines of sight. Celestial Mechanics and Dynamical Astronomy, 1996, 66(4): 387–423.
