Skip to main content
Search
Search
Quick Search anywhere
Quick Search fdjslkfh
Advanced search
Cart
Join AIAA Institution Login
Skip main navigation
Journal of Guidance, Control, and Dynamics logo
Skip to article control options
No AccessFull-Length Paper

Closed-Loop Control of Close Orbits Around Asteroids

Published Online:23 Apr 2014https://doi.org/10.2514/1.G000158

Abstract

The purpose of this work is to develop a simple control law to perform orbit transfer about a small rotating celestial body. The celestial body is assumed to be rotating about a principal axis, with constant rotational velocity along the largest moment of inertia. An analysis of the spacecraft natural trajectories is performed in the body-fixed coordinate system. A three-dimensional closed-loop guidance law is defined and analyzed, enabling the determination of the guidance constants to assure convergence to any desired orbit about the irregular celestial body. The particular case of synchronous orbits is further studied, enabling determination of the required guidance constants to implement stable synchronous orbits. Numerical results are presented for representative cases.

References

  • [1] Buet M., Pearson J., Bennett D. S. and Komerath N., “Cornucopia Mission, Robotic Mining System for Rapid Earth Orbit Capture of Asteroid Resources,” 32nd International Space Development Conference (ISDC), Kepler Space University, March 2013. Google Scholar

  • [2] Jee J. R., Khatib A. R., Muellerschoen R. J., Williams B. G. and Vincent M. A., “Preliminary Performance Analysis of an Interplanetary Navigation Using Asteroid Based Beacons,” Journal of Guidance, Control, and Dynamics, Vol. 11, No. 2, 1988, pp. 103–109. doi:https://doi.org/10.2514/3.20278 JGCDDT 0162-3192 LinkGoogle Scholar

  • [3] Sanchez J. P., García Yárnoz D. and McInnes C. R., “Near-Earth Asteroid Resource Accessibility and Future Capture Mission Opportunities,” Global Space Exploration Conference, International Astronautical Federation, 2012. Google Scholar

  • [4] Roithmayr C. M., Shen H., Jesick M. and Cornelius D. M., “Catching a Rolling Stone: Dynamics and Control of a Spacecraft and an Asteroid,” Third IAA Planetary Defense Conference, Flagstaff, AZ, Paper  IAA-PDC13-04-27, International Academy of Astronautics, Stockholm, Sweden, April 2013. Google Scholar

  • [5] Chauvineau B., Farinella P. and Mignard F., “Planar Orbits About a Triaxial Body: Application to Asteroidal Satellites,” Icarus, Vol. 105, No. 2, 1993, pp. 370–384. doi:https://doi.org/10.1006/icar.1993.1134 ICRSA5 0019-1035 CrossrefGoogle Scholar

  • [6] Scheeres D. J., “Dynamics About Uniformly Rotating Triaxial Ellipsoids: Applications to Asteroids,” Icarus, Vol. 110, No. 2, 1994, pp. 225–238. doi:https://doi.org/10.1006/icar.1994.1118 ICRSA5 0019-1035 CrossrefGoogle Scholar

  • [7] Scheeres D. J., Ostro S. J., Hudson R. S. and Werner R. A., “Orbits Close to Asteroid 4769 Castalia,” Icarus, Vol. 121, No. 1, 1996, pp. 67–87. doi:https://doi.org/10.1006/icar.1996.0072 ICRSA5 0019-1035 CrossrefGoogle Scholar

  • [8] Scheeres D. J., Williams B. G. and Miller J. K., “Evaluation of the Dynamic Environment of an Asteroid: Applications to 433 Eros,” Journal of Guidance, Control, and Dynamics, Vol. 23, No. 3, 2000, pp. 466–475. doi:https://doi.org/10.2514/2.4552 JGCDDT 0162-3192 LinkGoogle Scholar

  • [9] Tricarico P. and Sykes M. V., “Dynamical Environment of Dawn at Vesta,” Planetary and Space Science, Vol. 58, No. 12, 2010, pp. 1516–1525. doi:https://doi.org/10.1016/j.pss.2010.07.017 PLSSAE 0032-0633 CrossrefGoogle Scholar

  • [10] Herrera-Sucarrat E., Palmer P. L. and Roberts R. M., “Modeling the Gravitational Potential of a Nonspherical Asteroid,” Journal of Guidance, Control, and Dynamics, Vol. 36, No. 3, 2013, pp. 790–798. doi:https://doi.org/10.2514/1.58140 JGCDDT 0162-3192 LinkGoogle Scholar

  • [11] Guelman M., “Dynamics, and Control of Close Orbits Around Small Rotating Bodies,” Proceedings of the AAS/AIAA Space Flight Mechanics Conference, American Astronautical Society Paper  1997-103, 1997. Google Scholar

  • [12] Scheeres D. J., “Stability of Hovering Orbits Around Small Bodies,” Proceedings of the AAS/AIAA Spaceflight Mechanics Meeting, AAS Paper  1999-159, Feb. 1999. Google Scholar

  • [13] Broschart S. B. and Scheeres D. J., “Control of Hovering Spacecraft near Small Bodies: Application to Asteroid 25143 Itokawa,” Journal of Guidance, Control, and Dynamics, Vol. 28, No. 2, 2005, pp. 343–354. doi:https://doi.org/10.2514/1.3890 JGCDDT 0162-3192 LinkGoogle Scholar

  • [14] McInnes C. R., “Near Earth Object Orbit Modification Using Gravitational Coupling,” Journal of Guidance, Control, and Dynamics, Vol. 30, No. 3, 2007, pp. 870–873. doi:https://doi.org/10.2514/1.25864 JGCDDT 0162-3192 LinkGoogle Scholar

  • [15] Wie B., “Dynamics and Control of Gravity Tractor Spacecraft for Asteroid Deflection,” Journal of Guidance, Control, and Dynamics, Vol. 31, No. 5, 2008, pp. 1413–1423. doi:https://doi.org/10.2514/1.32735 JGCDDT 0162-3192 LinkGoogle Scholar

  • [16] Reyhanoglu M., Kamran N. N. and Takahiro K., “Orbital and Attitude Control of a Spacecraft Around an Asteroid,” 12th International Conference on Control, Automation and Systems, IEEE Paper  978-1-4673-2247-8, Oct. 2012, pp. 1627–1632. Google Scholar

  • [17] Battin R. H., Introduction to the Mathematics and Methods of Astrodynamics, AIAA Education Series, AIAA, New York, 1987, pp. 403–405. Google Scholar

  • [18] Kumar K. D., “Attitude Dynamics and Control of Satellites Orbiting Rotating Asteroids,” Acta Mechanica, Vol. 198, Nos. 1–2, 2008, pp. 99–118. doi:https://doi.org/10.1007/s00707-007-0508-y AMHCAP 0001-5970 CrossrefGoogle Scholar

Previous article
Next article