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Modeling the Gravitational Potential of a Nonspherical Asteroid

Herrera-Sucarrat, E, Palmer, PL and Roberts, RM (2013) Modeling the Gravitational Potential of a Nonspherical Asteroid JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 36 (3). pp. 790-798.

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In this paper a simple and very general approximation of the gravitational potential for a nonspherical body is presented. The gravitational potential is expanded using spherical harmonics and spherical Bessel functions, and it satisfies Laplace's equation outside the circumscribing sphere and Poisson's equation inside the circumscribing sphere. Therefore, trajectories can be integrated near the surface of the asteroid, as well as far away from it. This paper focuses on the construction of a simple expansion of the gravitational potential that preserves the critical nonlinear dynamical behavior of other gravitational models for a nonspherical asteroid that are more complex and computationally more demanding. Copyright © 2012 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.

Item Type: Article
Subjects : Mathematics
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Date : 1 May 2013
Identification Number : 10.2514/1.58140
Copyright Disclaimer : Copyright 2013 AIAA
Uncontrolled Keywords : Science & Technology, Technology, Engineering, Aerospace, Instruments & Instrumentation, Engineering, ENGINEERING, AEROSPACE, INSTRUMENTS & INSTRUMENTATION, ORDER GRAVITY FIELDS, ROTATING 2ND-DEGREE, ORBITS, STABILITY, MOTION, BODY
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 03 Nov 2016 10:22
Last Modified : 31 Oct 2017 18:42

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