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혼합 추력 방식의 지구-달 최적 전이궤적 설계인자에 따른 비교연구

A Parametric Study on Optimal Earth-Moon Transfer Trajectory Design Using Mixed Impulsive and Continuous Thrust

  • 이대로 (전북대학교 풍력에너지전력망 적응기술연구센터) ;
  • 노태수 (전북대학교 항공우주공학과) ;
  • 이지만 (전북대학교 항공우주공학과 대학원) ;
  • 전경언 (전북대학교 항공우주공학과 대학원)
  • 투고 : 2011.06.27
  • 심사 : 2011.10.26
  • 발행 : 2011.11.01

초록

본 논문은 혼합 추력 방식의 지구-달 최적 전이궤적의 설계를 위하여 설계인자에 따른 비교연구를 수행하였다. 지구 및 달의 인력을 동시에 고려하는 평면상 원형 제한 3체 궤도운동 모델을 바탕으로 지구 출발시에는 순간 추력을, 지구-달 천이 과정 및 달 임무궤도 투입시에는 연속 추력을 사용하는 혼합형 궤적전이 방법을 적용하였다. 설계 인자로 설정된 추력 가중치와 비행시간의 다양한 조합에 따라 지구 출발시 Direct Departure 및 Spiral Departure Trajectory, 달 도착시 무추력 투입(Ballistic Capture)이 가능한 전이궤적를 설계하였고, 각 궤적에 필요한 순간 및 연속 추력 요구량을 상세히 제시하였다.

This paper presents the results of a parametric study for the design of optimal Earth-Moon transfer trajectory using mixed impulsive and continuous thrust. Various types of the optimal Earth-Moon transfer trajectories were designed by adjusting the relative weight between the impulsive and the continuous thrust, and flight time. Two very different transfer trajectories can be obtained by different combination of design parameters. Furthermore, it was found that all thus designed trajectories permit the ballistic capture by the Moon gravity. Finally, the required thrust profiles are presented and analyzed in detail.

키워드

참고문헌

  1. Ozimek, M. T. and Howell, K.C., "Low-Thrust Transfers in the Earth-Moon System, Including Applications to Libration Point Orbits," Journal of Guidance, Control, and Dynamics, Vol. 33, No. 2, 2010, pp. 533-549. https://doi.org/10.2514/1.43179
  2. Miele, A. and Mancuso, S., "Optimal Trajectories for Earth-Moon-Earth Flight", Acta Astronautica, Vol. 49, No. 2, 2001, pp. 59-71. https://doi.org/10.1016/S0094-5765(01)00007-8
  3. Mingotti, G., Topputo, F., and Bernelli-Zazzera, F., "A Method to Design Sun-Perturbed Earth-to-Moon Low-Thrust Transfers with Ballistic Capture", XIX Congresso Nazionale AIDAA, 2007.
  4. Koon, W.S., Lo, M.W., Marsden, J.E. and Ross, S.D. "Low energy transfer to the moon" Celestial Mechanics and Dynamical Astronomy,. Vol. 81, Issues. 1-2., 2001, pp. 63-73. https://doi.org/10.1023/A:1013359120468
  5. Pierson, Bion L. and Kluever, Craig A., "Three-Stage Approach to Optimal Low-Thrust Earth-Moon Trajectories," Journal of Guidance, Control, and Dynamics, Vol. 17, No. 6, 1994, pp. 1275-1282. https://doi.org/10.2514/3.21344
  6. Kluever, Craig A. and Pierson, Bion L., "Optimal Low-Thrust Three-Dimensional Earth- Moon Trajectories,", Journal of Guidance, Control,and Dynamics, Vol. 18, No. 4, 1994, pp. 830-837.
  7. Belbruno, E. A. and Miller, J.K., "Sunperturbed Earth-to-Moon transfers with ballistic capture," Journal of Guidance, Control, and Dynamics, Vol. 16, No. 4, 1993, pp. 770-775. https://doi.org/10.2514/3.21079
  8. Yagaski, K., "Computation of Low Energy Earth-to-Moon Transfers with Moderate Flight Time," Physica D: Nonlinear Phenomena, Vol. 197, Issues 3-4, pp. 313-331.
  9. Ranieri, C., and Ocampo, C., "Optimization of Round trip, Time-constrained, Finite Burn Trajectories via an Indirect Method," Journal of Guidance, Control, and Dynamics, Vol. 28, No. 2, 2005, pp. 306-314. https://doi.org/10.2514/1.5540
  10. Ranieri, C., and Ocampo, C., "Indirect Optimization of Spiral Trajectories," Journal of Guidance, Control, and Dynamics, Vol. 29,No. 6, 2006, pp. 1360-1366. https://doi.org/10.2514/1.19539
  11. Russell, R., "Primer Vector Theory Applied to Global Low-Thrust Trade Studies," Journal of Guidance, Control, and Dynamics, Vol. 30, No. 2, 2007, pp. 460-473. https://doi.org/10.2514/1.22984
  12. Enright, Paul J. and Conway Bruce A. "Discrete Approximations to Optimal Trajectories Using Direct Transcription and Nonlinear Programming", Journal of Guidance, Control, and Dynamics, Vol. 15, No. 4, 1992, pp. 944-1002 https://doi.org/10.2514/3.20928
  13. Hargraves, C., and Paris, S., ""Direct Trajectory Optimization Using Nonlinear Programming and Collocations,"" Journal of Guidance, Control, and Dynamics, Vol. 10, No. 4, 1987, pp. 338-342. https://doi.org/10.2514/3.20223
  14. Herman, A., and Conway, B., ""Optimal, Low-Thrust, Earth-Moon Orbit Transfer,"" Journal of Guidance, Control, and Dynamics, Vol. 21, No. 1, 1998, pp. 141-147. https://doi.org/10.2514/2.4210
  15. 노태수, 전경언,"순간 및 연속 추력을 이용한 지구-달 최적 전이궤도 설계에 관한 연구", 항공우주학회지, 제38권, 제 7호, pp. 684-692. https://doi.org/10.5139/JKSAS.2010.38.7.684
  16. Gray, B., Homotopy Theory, An Introduction to Homotopy Theory, ACADEMIC PRESS, INC., 1975.
  17. Hilton, P. J., An Introduction to Homotopy Theory, Cambridge University Presss, 2008.
  18. Baues., H. J., Algebraic Homotopy, Cambridge University Press, 1989.