Abstract
The spectacular collision of the Shoemaker-Levy 9 asteroid with Jupiter in July 1994 was a dramatic reminder of the inevitability of such catastrophes in the Earth’s future unless steps are taken to develop methods for Earth-approaching object detection and possible interdiction. In this work optimal (minimum-time) very-low-thrust trajectories using electric propulsion are determined for the interception of asteroids which pose a threat of collision with the Earth. At the time of interception the system state transition matrix is found and used to indicate the direction in which an impulse should be applied to the asteroid to maximize the subsequent deflection.
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References
Rabinowitz, D. L. et al. (1994) The population of Earth-crossing asteroids, Hazards Due to Comets & Asteroids, T. Gehrels (ed.), Univ. of Arizona Press, Tucson, pp. 285–312.
MICA, an Interactive Astronomical Almanac, (1989) U.S. Naval Observatory, Washington DC.
Conway, B. A. (1997) Optimal low-thrust interception of Earth-crossing asteroids, J. of Guidance, Control, and Dynamics, 20, No. 5, 995–1002.
Battin, R. H. (1987) An Introduction to the Mathematics and Methods of Astrodynamics, AIAA Education Series, AIAA Publ., New York.
Hargraves, C. R. and Paris, S. W. (1987) Direct trajectory optimization using nonlinear programming and collocation, Journal of Guidance, Control, and Dynamics, 10, No. 4, 338–342.
Enright, P. J. and Conway, B. A. (1992) Discrete approximations to optimal trajectories using direct transcription and nonlinear programming, Journal of Guidance, Control, and Dynamics, 15, No. 4, 994–1002.
Herman, A. L. and Conway, B. A., (1996) “Direct optimization using collocation based on high-order Gauss-Lobatto quadrature rules”, J. of Guidance, Control, and Dynamics, 19, No. 3, 592–599.
P. E. Gill, et al. (1993) User’s Guide for NZOPT 1.0: A Fortran Package For Nonlinear Programming, McDonnell Douglas Aerospace.
Scheel, W. A. and Conway, B. A. (1994) Optimization of very-low-thrust, many revolution spacecraft trajectories, J. of Guidance, Control, and Dynamics, 17, No. 6, 1185–1192.
Tang, S. and Conway, B. A. (1995) Optimization of low-thrust interplanetary trajectories using collocation and nonlinear programming, J. of Guidance, Control, and Dynamics, 18, No. 3, 599–604.
Prussing, J. E. and Conway, B. A. (1993) Orbital Mechanics, Oxford University Press, New York.
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© 1999 Springer Science+Business Media Dordrecht
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Conway, B.A. (1999). Optimal Low-Thrust Interception and Deflection of Earth-Crossing Asteroids. In: Steves, B.A., Roy, A.E. (eds) The Dynamics of Small Bodies in the Solar System. NATO ASI Series, vol 522. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9221-5_15
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DOI: https://doi.org/10.1007/978-94-015-9221-5_15
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5133-2
Online ISBN: 978-94-015-9221-5
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