Skip to main content

Optimal Low-Thrust Interception and Deflection of Earth-Crossing Asteroids

  • Chapter
The Dynamics of Small Bodies in the Solar System

Part of the book series: NATO ASI Series ((ASIC,volume 522))

  • 343 Accesses

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 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.

    Google Scholar 

  2. MICA, an Interactive Astronomical Almanac, (1989) U.S. Naval Observatory, Washington DC.

    Google Scholar 

  3. Conway, B. A. (1997) Optimal low-thrust interception of Earth-crossing asteroids, J. of Guidance, Control, and Dynamics, 20, No. 5, 995–1002.

    Article  MATH  Google Scholar 

  4. Battin, R. H. (1987) An Introduction to the Mathematics and Methods of Astrodynamics, AIAA Education Series, AIAA Publ., New York.

    Google Scholar 

  5. 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.

    Article  ADS  MATH  Google Scholar 

  6. 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.

    Article  ADS  MATH  Google Scholar 

  7. 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.

    Article  MATH  Google Scholar 

  8. P. E. Gill, et al. (1993) User’s Guide for NZOPT 1.0: A Fortran Package For Nonlinear Programming, McDonnell Douglas Aerospace.

    Google Scholar 

  9. 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.

    Article  ADS  Google Scholar 

  10. 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.

    Article  Google Scholar 

  11. Prussing, J. E. and Conway, B. A. (1993) Orbital Mechanics, Oxford University Press, New York.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

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

Download citation

  • 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

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics