Abstract
This paper completes the study of optimal transfers with constraints imposed on the thrust vector direction that was opened by paper [1]. The linear inhomogeneous and homogeneous constraints on the thrust direction are considered (specified either by equalities or inequalities), as well as mixed constraints. Some examples of the constraints are presented. A modified method of the transporting trajectory is applied in order to find the optimal transfer under the linear constraints on the thrust direction. This method also gives the necessary condition for a transfer possibility at a given constraint on the thrust direction. A numerical example is considered, in which the propellant consumption is analyzed for the cases of transfers with and without constraints.
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Sukhanov, A.A. and Prado, A.F.B., de A. Optimization of Transfers under Constraints on the Thrust Direction: I, Kosm. Issled., 2007, vol. 45, no. 5.
Beletskii, V.V. and Egorov, V.A., Interplanetary Flights with Constant-Thrust Engines, Kosm. Issled., 1964, vol. 2, no. 3, pp. 360–391.
Sukhanov, A.A., Optimization of Flights with Low Thrust, Kosm. Issled., 1999, vol. 37, no. 2, pp. 182–191.
Sukhanov, A.A., Optimization of Low-Thrust Interplanetary Transfers, Kosm. Issled., 2000, vol. 38, no. 6, pp. 624–627.
Sukhanov, A.A. and Prado, A.F.B., de A., A Modification of the Method of Transporting Trajectory, Kosm. Issled., 2004, vol. 42, no. 1, pp. 107–112.
Sukhanov, A.A., Eismont, N.A., and Prudkoglyad, A.V., Trajectory Design for Experimental Mission to Sun-Earth L1 and L2 Points Using SEP, Revista Brasileira de Ciencias, Special Issue, 1999, vol. XXI, pp. 313–321.
Sukhanov, A.A. and Eismont, N.A., Low Thrust Transfers to Sun-Earth L1 and L2 Points with a Constraint on the Thrust Direction, Proc. of the Intern. Conf. “Libration Point Orbits and Applications,” June 10–14, 2002, Parador díAiguablava, Girona, Spain.
Bakhshiyan, B.Ts. and Sukhanov, A.A., First and Second Isochronous Derivatives in the Two-Body Problem, Kosm. Issled., 1978, vol. 16, no. 4, pp. 481–491.
Nazarenko, A.I. and Skrebyshevskii, B.S., Evolyutsiya i ustoichivost’ sputnikovykh sistem (Evolution and Stability of Satellite Systems), Moscow: Mashinostroeniye, 1981.
Sukhanov, A.A., Isochronous Derivatives in the Two-Body Problem, Kosm. Issled., 1990, vol. 28, no. 2, pp. 304–306.
Rao, C.R., Linear Statistical Inference and Its Applications, New York: Wiley, 1965. Translated under the title Lineinye statisticheskie metody i ikh primeneniya, Moscow: Nauka, 1968.
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Original Russian Text © A.A. Sukhanov, A.F.B. de A. Prado, 2008, published in Kosmicheskie Issledovaniya, 2008, Vol. 46, No. 1, pp. 51–60.
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Sukhanov, A.A., Prado, A.F.B.d.A. Optimization of transfers under constraints on the thrust direction: II. Cosmic Res 46, 49–59 (2008). https://doi.org/10.1134/S0010952508010073
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DOI: https://doi.org/10.1134/S0010952508010073