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

Sang Young Park, I. Michael Ross

Research output: Contribution to journalArticlepeer-review


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
Issue number2
Publication statusPublished - 1998

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science


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