Technical Papers
Dec 12, 2017

Velocity-to-Be-Gained Deorbit Guidance Law Using State Space Perturbation Method

Publication: Journal of Aerospace Engineering
Volume 31, Issue 2

Abstract

Deorbit guidance laws steer a reentry spacecraft from the parking orbit to the entry interface (EI) while satisfying some terminal constraints. The guidance precision has great influence on the shape of the reentry trajectory, heat flux, aerodynamic overload, and safety. When the Earth’s j2 effect is taken into consideration, the guidance law becomes either complicated or of heavy computational load. Therefore this paper proposes a velocity-to-be-gained deorbit guidance law as a simple and precise solution. The main portion of the velocity to be gained is obtained from solving a two-body two-point boundary value problem, and the correcting portion related to the j2 term is calculated analytically through the state space perturbation method (SSPM). The SSPM uses a linearized perturbation motion equation derived in local vertical, local horizontal coordinates. A numerical simulation is conducted to verify the validity and accuracy of the proposed method. The guidance law can satisfy terminal constraints on flight path angle and location of the EI and can be generalized with little effort to cases in which other terminal constraints are specified or Earth’s higher-order nonspherical gravity is considered.

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References

Aslanov, V. S., and Yudintsev, V. V. (2013). “Dynamics of large debris connected to space tug by a tether.” J. Guid. Control Dyn., 36(6), 1654–1660.
Baldwin, M. C. (2010). “Autonomous optimal deorbit guidance.” Ph.D. dissertation, Iowa State Univ., Ames, IA.
Baldwin, M. C., and Lu, P. (2012). “Optimal deorbit guidance.” J. Guid. Control Dyn., 35(1), 93–103.
Baldwin, M. C., Pan, B., and Lu, P. (2009). “On autonomous optimal deorbit guidance.” AIAA Guidance, Navigation, and Control Conf., AIAA, Reston, VA.
Battin, R. H. (1999). An introduction to the mathematics and methods of astrodynamics, Revised Ed., AIAA, Reston, VA, 550–555.
Goester, J. F., and Broca, R. (1991). “Deorbit strategies.” Proc., 42nd Int. Astronautical Federation Congress, IAF, Paris.
Gurfil, P. (2004). “Analysis of J2-perturbed motion using mean non-osculating orbital elements.” AIAA/AAS Astrodynamics Specialist Conf. and Exhibit, AIAA, Reston, VA.
Humi, M. (2012). “Semi-equatorial orbits around an oblate body.” J. Guid. Control Dyn., 35(1), 316–321.
Joosten, B. K. (1985). “Descent guidance and mission planning for space shuttle.” Space Shuttle Technology Conf., NASA, Washington, DC, 113–124.
Li, J., and Han, C. (2012). “Solutions to orbital boundary-value problems with specified flight-path angle.” J. Guid. Control Dyn., 35(2), 530–535.
Padhi, R. (1999). “An optimal explicit guidance scheme for ballistic missiles with solid motors.” AIAA Guidance, Navigation, and Control Conf. and Exhibit, AIAA, Reston, VA.
Qi, R., Misra, A. K., and Zuo, Z. Y. (2017). “Active debris removal using double-tethered space-tug system.” J. Guid. Control Dyn., 40(3), 722–730.
Rajeev, U. P., Sheela, D. S., Naik, U. J., Das, B. B., and Dasgupta, S. (2007). “Closed loop guidance algorithm for low thrust ballistic re-entry vehicle.” Proc., 58th Int. Astronautical Congress, IAF, Paris.
Song, E. J., Cho, S., and Roh, W. R. (2015). “A comparison of iterative explicit guidance algorithms for space launch vehicles.” Adv. Space Res., 55(1), 463–476.
Xie, Y., Liu, L., Liu, J., Tang, G., and Zheng, W. (2012). “Rapid generation of entry trajectories with waypoint and no-fly zone constraints.” Acta Astronaut., 77, 167–181.
Zes, D. (1998). “Exo-atmospheric intercept with J2 correction.” AIAA Guidance, Navigation, and Control Conf. and Exhibit, AIAA, Reston, VA.
Zhang, H., Zheng, W., and Tang, G. (2011). “Deviation iterating approach for transfer orbit design with J2 perturbation.” Proc., 5th Int. Conf. of Recent Advances in Space Technology, IEEE, Piscataway, NJ, 253–258.
Zhang, J., Zhao, S., and Zhang, Y. (2015). “Autonomous guidance for rendezvous phasing based on special-point-based maneuvers.” J. Guid. Control Dyn., 38(4), 578–586.
Zhao, S., Gurfil, P., and Zhang, J. (2016). “Optimal servicing of geostationary satellites considering earth’s triaxiality and lunisolar effects.” J. Guid. Control Dyn., 39(10), 2219–2231.
Zheng, W., and Tang, G. (2009). Flight dynamics of ballistic missile in gravity anomaly field, National Defense Industry Press, Beijing, 35–54 (In Chinese).

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Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 31Issue 2March 2018

History

Received: Apr 25, 2017
Accepted: Jul 27, 2017
Published online: Dec 12, 2017
Published in print: Mar 1, 2018
Discussion open until: May 12, 2018

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Authors

Affiliations

Hongbo Zhang [email protected]
Associate Professor, College of Aerospace Science and Engineering, National Univ. of Defense Technology, No. 109, Deya Rd., Kaifu District, Changsha, Hunan 410073, China (corresponding author). E-mail: [email protected]
Doctoral Student, College of Aerospace Science and Engineering, National Univ. of Defense Technology, Deya Rd., Kaifu District, Changsha, Hunan 410073, China. E-mail: [email protected]

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