CLC number: O232; V412.4
On-line Access: 2018-12-14
Received: 2018-05-11
Revision Accepted: 2018-07-23
Crosschecked: 2018-11-27
Cited: 0
Clicked: 5473
Li Xie, Yi-qun Zhang, Jun-yan Xu. Hohmann transfer via constrained optimization[J]. Frontiers of Information Technology & Electronic Engineering,in press.https://doi.org/10.1631/FITEE.1800295 @article{title="Hohmann transfer via constrained optimization", %0 Journal Article TY - JOUR
约束优化下的霍曼转移关键词组: Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article
Reference[1]Avendaño M, Martín-Molina V, Martín-Morales J, et al., 2016. Algebraic approach to the minimum-cost multi-impulse orbit-transfer problem. J Guid Contr Dynam, 39(8):1734-1743. [2]Avriel M, 2003. Nonlinear Programming: Analysis and Methods. Dover Publications Inc., Mineola, NY, USA. [3]Barrar RB, 1963. An analytic proof that the Hohmann type transfer is the true minimum two-impulse transfer. Acta Astronaut, 9(1):1-11. [4]Battin RH, 1987. An Introduction to the Mathematics and Methods of Astrodynamics. AIAA, New York, USA. [5]Bertsekas DP, 1999. Nonlinear Programming (2nd Ed.). Athena Scientific, Belmont, Egypt. [6]Bryson AEJr, Ho YC, 1975. Applied Optimal Control. Hemisphere Publishing Corp., Washington, USA. [7]Cornelisse JW, Schöyer HFR, Wakker KF, 1979. Rocket Propulsion and Spaceflight Dynamics. Pitman, London, UK. [8]Curtis HD, 2014. Orbital Mechanics for Engineering Students. Elsevier, Amsterdam, the Netherlands. [9]Guler O, 2010. Foundations of Optimization. Springer, New York, USA. [10]Gurfil P, Seidelmann PK, 2016. Celestial Mechanics and Astrodynamics: Theory and Practice. Springer Berlin Heidelberg, Germany. [11]Hazelrigg GA, 1984. Globally optimal impulsive transfers via Green's theorem. J Guid Contr Dynam, 7(4):462-470. [12]Hohmann W, 1960. The Attainability of Heavenly Bodies. NASA Technical Translation F-44, Washington, USA. [13]Hull DG, 2003. Optimal Control Theory for Applications. Springer, New York, USA. [14]Kierzenka J, 1998. Studies in the Numerical Solution of Ordinary Differential Equations. PhD Thesis, Southern Methodist University, Dallas, USA. [15]Lawden DF, 1963. Optimal Trajectories for Space Navigation. Butterworths, London, UK. [16]Leitmann G, 1981. The Calculus of Variations and Optimal Control: an Introduction. Springer, New York, USA. [17]Li DY, Li DZ, 1991. Further discussion on optimal transfer between two circular orbits by dual impulse. Chin Space Sci Technol, 12(6):1-10 (in Chinese). [18]Longuski JM, Guzmán JJ, Prussing JE, 2014. Optimal Control with Aerospace Applications. Springer, New York, USA. [19]Marec JP, 1979. Optimal Space Trajectories. Elsevier, Amsterdam. [20]Mathwig J, 2004. On Properties of the Hohmann Transfer. MS Thesis, Rice University, Houston, Texas, USA. [21]McCormick GP, 1967. Second order conditions for constrained minima. SIAM J Appl Math, 15(3):641-652. [22]Miele A, Ciarci‘a M, Mathwig J, 2004. Reflections on the Hohmann transfer. J Optim Theory Appl, 123(2): 233-253. [23]Moyer HG, 1965. Minimum impulse coplanar circle-ellipse transfer. AIAA J, 3(4):723-726. [24]Palmore J, 1984. An elementary proof of the optimality of Hohmann transfers. J Guid Contr Dynam, 7(5):629-630. [25]Pontani M, 2009. Simple method to determine globally optimal orbital transfers. J Guid Contr Dynam, 32(3):899-914. [26]Prussing JE, 1992. Simple proof of the global optimality of the Hohmann transfer. J Guid Contr Dynam, 15(4): 1037-1038. [27]Prussing JE, 2010. Primer vector theory and applications. In: Conway BA (Ed.), Spacecraft Trajectory Optimization. Cambridge University Press, Cambridge, p.16-36. [28]Prussing JE, Conway BA, 1993. Orbital Mechanics. Oxford University Press, New York, USA. [29]Shampine LF, Gladwell I, Thompson S, 2003. Solving ODEs with Matlab. Cambridge University Press, Cambridge. [30]Ting L, 1960. Optimum orbital transfer by impulses. ARS J, 30(11):1013-1018. [31]Vertregt M, 1958. Interplanetary orbits. J Br Interplanet Soc, 16:326-354. [32]Yu ML, 1990. Selection of launch trajectory for launching geosynchronous satellite. Chin Space Sci Technol, 2(1):21-27 (in Chinese). [33]Yuan FY, Matsushima K, 1995. Strong Hohmann transfer theorem. J Guid Contr Dynam, 18(2):371-373. [34]Zefran M, Desai JP, Kumar V, 1996. Continuous motion plans for robotic systems with changing dynamic behavior. Proc 2nd Int Workshop on Algorithmic Foundations of Robotics. [35]Zhang G, Zhang XY, Cao XB, 2014. Tangent-impulse transfer from elliptic orbit to an excess velocity vector. Chin J Aeronaut, 27(3):577-583. Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou
310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn Copyright © 2000 - 2024 Journal of Zhejiang University-SCIENCE |
Open peer comments: Debate/Discuss/Question/Opinion
<1>