Abstract
Further development of an approximate method for optimizing a flight with an ideally controlled small thrust is proposed. The method is based on the employment of the transporting trajectory and considered in [1–3]. A detailed analysis of the means of improving the accuracy of this method suggested in [2, 3] is carried out, and the solution is presented in finite form. The proposed approach is applied to the flights making flybys of many celestial bodies. In the case of small bodies the solution is also obtained in finite form. A numerical example is considered confirming the high efficiency of this method.
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REFERENCES
Beletskii, V.V. and Egorov, V.A., Interplanetary Flights with Constant-Thrust Engines, Kosm. Issled., 1964, vol.2, no. 3, pp. 360–391.
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Sukhanov, A.A., Optimization of Low-Thrust Interplanetary Transfers, Kosm. Issled., 2000, vol. 38, no. 6, p.624–627.
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Sukhanov, A.A., de A.Prado, A.F.B. A Modification of the Method of Transporting Trajectory. Cosmic Research 42, 103–108 (2004). https://doi.org/10.1023/B:COSM.0000017568.27083.a3
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DOI: https://doi.org/10.1023/B:COSM.0000017568.27083.a3