Gravitational effects of earth in optimizing delta-V for deflecting earth-crossing asteroids

Sang Young Park, I. Michael Ross

Research output: Contribution to journalArticle

Abstract

The gravitational effects of Earth in calculating optimal impulses for deflecting Earth-crossing asteroids are presented in this paper. The patched conic method is used to formulate a constrained optimization problem. The constraints at Earth are pulled back to the constraints at the edge of the sphere-of-influence. The result is a modified heliocentric two-body optimization problem with first-order constraints. Numerical solutions to this approximate three-body problem indicate that the delta-V requirements are considerably more than that obtained by a pure two-body analysis. Generally speaking, the increments in the minimum delta-V due to the gravitational effects of Earth are large (by as much as 60%) for near-Earth asteroids, and the errors diminish for asteroids with large (i.e. e > 0.7) eccentricities.

Original languageEnglish
Pages (from-to)1195-1204
Number of pages10
JournalAdvances in the Astronautical Sciences
Volume99
Issue number2
Publication statusPublished - 1998 Dec 1

Fingerprint

Gravitational effects
Asteroids
gravitational effects
asteroids
asteroid
Earth (planet)
optimization
three body problem
Constrained optimization
eccentricity
impulses
effect
requirements

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

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title = "Gravitational effects of earth in optimizing delta-V for deflecting earth-crossing asteroids",
abstract = "The gravitational effects of Earth in calculating optimal impulses for deflecting Earth-crossing asteroids are presented in this paper. The patched conic method is used to formulate a constrained optimization problem. The constraints at Earth are pulled back to the constraints at the edge of the sphere-of-influence. The result is a modified heliocentric two-body optimization problem with first-order constraints. Numerical solutions to this approximate three-body problem indicate that the delta-V requirements are considerably more than that obtained by a pure two-body analysis. Generally speaking, the increments in the minimum delta-V due to the gravitational effects of Earth are large (by as much as 60{\%}) for near-Earth asteroids, and the errors diminish for asteroids with large (i.e. e > 0.7) eccentricities.",
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Gravitational effects of earth in optimizing delta-V for deflecting earth-crossing asteroids. / Park, Sang Young; Ross, I. Michael.

In: Advances in the Astronautical Sciences, Vol. 99, No. 2, 01.12.1998, p. 1195-1204.

Research output: Contribution to journalArticle

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