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J2 섭동을 고려한 비공면 타원 궤도에서의 우주비행체 요격

Spacecraft Intercept on Non-coplanar Elliptical Orbit Considering J2 Perturbation

  • 투고 : 2018.04.04
  • 심사 : 2018.10.11
  • 발행 : 2018.11.01

초록

본 논문은 지구의 J2 섭동을 고려한 비공면 타원궤도에서의 우주비행체의 요격 문제를 다룬다. J2에 의한 영향은 지구를 돌고 있는 우주비행체 궤도를 변화시키는 주된 요인이 되며, 이를 해결하기 위해 실시간 요격 방법을 제안한다. 구형의 지구와 순간추력을 고려한 운동방정식을 기반으로 최적화 문제를 구성하고 수치적으로 얻어진 최적해를 인터셉터의 추진방향으로 설정한다. 위치 오차는 최적화 문제를 반복적으로 해결하고 인터셉터의 추진방향을 수정하는 방식으로 해결한다. 다양한 궤도를 상황을 고려하여 제안하는 방법을 검증한다.

This paper deals with spacecraft intercept problem on non-coplanar elliptical obit considering J2 perturbation. This disturbance addressed in this work is a major factor changing the trajectory of a spacecraft orbiting the Earth. To resolve this issue, a real-time intercept method is proposed. This method is based on the optimization problem which consist of the equation of motion considering spherical earth and impulse, and the optimal solution numerically obtained is set as the direction of the thrust of the interceptor. The position error is resolved by iteratively solving the optimization problem and modifying the direction of thrust of interceptor. The proposed method in this paper is verified by using various numerical examples.

키워드

참고문헌

  1. Betts, J. T., "Survey of Numerical Methods for Trajectory Optimization," Journal of Guidance, Control, and Dynamics, Vol. 21, No. 2, 1998, pp. 193-207. https://doi.org/10.2514/2.4231
  2. Bate, R. R., Mueller, D. D., and White, J. E., Fundamentals of Astrodynamics. Courier Corporation, 1971.
  3. Prussing, J. E., and Chiu, J. H., "Optimal Multiple-impulse Time-fixed Rendezvous Between Circular Orbits," Journal of Guidance, Control, and Dynamics, Vol. 9, No. 1, 1986, pp. 17-22. https://doi.org/10.2514/3.20060
  4. Shen, H., and Tsiotras. P., "Optimal Two-impulse Rendezvous Using Multiple-revolution Lambert Solutions," Journal of Guidance Control and Dynamics, Vol. 26, No. 1, 2003, pp. 50-61. https://doi.org/10.2514/2.5014
  5. Lawden, D. F., Optimal trajectories for space navigation. Butterworths, 1963.
  6. Carter, T., and Humi, M., "Fuel-optimal Rendezvous Near a Point in General Keplerian orbit," Journal of Guidance Control and Dynamics, Vol. 10, No. 6, 1987, pp. 567-573. https://doi.org/10.2514/3.20257
  7. Jayaraman, J., "Time-optimal Orbit Transfer Trajectory for Solar Sail Spacecraft," Journal of Guidance Control and Dynamics, Vol. 33, No. 3, 1980, pp. 1008. https://doi.org/10.2514/1.46606
  8. Ross, I. M., "Linearized Dynamic Equation for Spacecraft Subject to J2 Perturbations," Journal of Guidance, Control, and Dynamics, Vol. 26, No. 4, 2003, pp. 657-659. https://doi.org/10.2514/2.5095
  9. Bevilacqua, R., and Romano, M., "Rendezvous Maneuvers of Multiple Spacecraft Using Differential Drag Under J2 Perturbation," Journal of Guidance, Control, and Dynamics, Vol. 31, No. 6 2008, pp. 1595-1607. https://doi.org/10.2514/1.36362
  10. Jezewski, D., "Optimal Rendezvous Trajectories Subject to Arbitrary Perturbations and Constraints", Astrodynamics Conference, 1992, pp. 4507.
  11. Luo, Y. Z., Tang, G. J., Wang, Z. G., and Li, H. Y., "Optimization of Perturbed and Constrained Fuel-optimal Impulsive Rendezvous Using a Hybrid Approach," Engineering Optimization, Vol. 38, No. 8, 2006, pp. 959-973. https://doi.org/10.1080/03052150600880425
  12. Leeghim, H., and Jaroux, B. A., "Energy-optimal Solution to the Lambert Problem," Journal of Guidance, Control, and Dynamics, Vol. 33, No. 3, 2010, pp. 1008-1010. https://doi.org/10.2514/1.46606
  13. Bryson, A. E., Applied Optimal Control: optimization, estimation and control, CRC Press, 1975.
  14. Vinti, J. P., "Zonal Harmonic Perturbations of an Accurate Reference Orbit of an Artificial Satellite," Journal of Research of the National Bureau of Standards section B: Mathematical Sciences Vol. 67, 1963, pp. 191-222.
  15. Kim, S. K., Chae, J. W., Won, S. H., and Jun, H. Y., "Status and Prospect of Spacecraft Propulsion System," Journal of The Korean Society for Aeronautical and Space Sciences, Vol. 44, 2016, pp. 695-701. https://doi.org/10.5139/JKSAS.2016.44.8.695
  16. Kim, S. K., Won, S. H., Kam, H. D., Lee, J. H., and Jun, H. Y., "A Development of 30N Class Hydrazine Thruster DM," The Korean Society of Propulsion Engineering, Vol. 2, 2015, pp. 173-176.