Gravitational Effects of Earth in Optimizing Delta V for Deflecting Earth-Crossing Asteroids
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Authors
Ross, I. Michael
Park, Sang-Young
Porter, Scott D. V.
Subjects
Advisors
Date of Issue
2001-10
Date
September - October 2001
Publisher
Language
en_US
Abstract
Analyses incorporating the gravitational effects of Earth to calculate optimal impulses for de ecting Earthcrossing
asteroids are presented. The patched conic method is used to formulate the constrained optimization problem. Geocentric constraints are mapped to heliocentric variables by the use of the impact parameter. The result is a uni ed nonlinear programming problem in the sense that no distinctions are made for short or long warning times. Numerical solutions indicate that the delta V requirements are considerably more than those of the previously published two-body analysis that excluded third-body effects. Generally speaking, the increments in the
minimum delta V due to the gravitational effects of the Earth are large (by asmuch as 60%) for near-Earth asteroids, and the errors diminish for orbits with large eccentricities (e>0.7). Some interesting results for short warning times are also discussed.
Type
Article
Description
Journal of Spacecraft and Rockets
The article of record as published may be located at http://arc.aiaa.org/loi/jsr
Series/Report No
Department
Department of Aeronautics and Astronautics
Identifiers
NPS Report Number
Sponsors
Naval Postgraduate School, Monterey, California.
Funder
Format
Citation
Journal of Spacecraft and Rockets, Vol. 38, No. 4, September - October 2001
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.