Modeling the Gravitational Potential of a Nonspherical Asteroid
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 Poiss...
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| Veröffentlicht in: | Journal of guidance, control, and dynamics control, and dynamics, 2013-05, Vol.36 (3), p.790-798 |
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| container_end_page | 798 |
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| container_issue | 3 |
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| container_title | Journal of guidance, control, and dynamics |
| container_volume | 36 |
| creator | Herrera-Sucarrat, E Palmer, P. L Roberts, R. M |
| description | 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. |
| doi_str_mv | 10.2514/1.58140 |
| format | Article |
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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.</description><identifier>ISSN: 0731-5090</identifier><identifier>EISSN: 1533-3884</identifier><identifier>DOI: 10.2514/1.58140</identifier><language>eng</language><publisher>Reston: American Institute of Aeronautics and Astronautics</publisher><subject>Approximation ; Asteroids ; Bessel functions ; Gravitation ; Inertia ; Laplace equation ; Mathematical analysis ; Poisson equation ; Preserves ; Spherical harmonics</subject><ispartof>Journal of guidance, control, and dynamics, 2013-05, Vol.36 (3), p.790-798</ispartof><rights>Copyright © 2012 by E. Herrera-Sucarrat, P. L. Palmer, and R. M. Roberts, Surrey Space Centre, University of Surrey. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. Copies of this paper may be made for personal or internal use, on condition that the copier pay the $10.00 per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923; include the code and $10.00 in correspondence with the CCC.</rights><rights>Copyright © 2012 by E. Herrera-Sucarrat, P. L. Palmer, and R. M. Roberts, Surrey Space Centre, University of Surrey. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. 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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.</description><subject>Approximation</subject><subject>Asteroids</subject><subject>Bessel functions</subject><subject>Gravitation</subject><subject>Inertia</subject><subject>Laplace equation</subject><subject>Mathematical analysis</subject><subject>Poisson equation</subject><subject>Preserves</subject><subject>Spherical harmonics</subject><issn>0731-5090</issn><issn>1533-3884</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNp90E9LwzAYBvAgCs4pfoWCgnrofN8mbdOTjKFT8N9BzyFtE5fRNTPJRL-90XmQIZ4Skl8e3jyEHCKMshzZOY5yjgy2yABzSlPKOdsmAygppjlUsEv2vJ8DIC2wHJCLO9uqzvQvSZipZOrkmwkyGNvLLnm0QfXBxJ3ViUzube-XM-VME0_GPihnTbtPdrTsvDr4WYfk-eryaXKd3j5Mbybj21QyhJAqzbSSbcM41DSjVauwkIzWCCxDnbeK06pmuQZFOas547qCRtd1Eads6_hmSE7XuUtnX1fKB7EwvlFdJ3tlV14gw5KXBRYQ6dEGnduVix_yImMVK4FBwf9TsZo8i2lVEdXJWjXOeu-UFktnFtJ9CATxVbdA8V13lGdrKY2Uv7LW12LZaqFXXRfUe4j2-E-7EfkJwhyJQA</recordid><startdate>20130501</startdate><enddate>20130501</enddate><creator>Herrera-Sucarrat, E</creator><creator>Palmer, P. 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| ispartof | Journal of guidance, control, and dynamics, 2013-05, Vol.36 (3), p.790-798 |
| issn | 0731-5090 1533-3884 |
| language | eng |
| recordid | cdi_aiaa_journals_1_58140_pdf_fulltext |
| source | Alma/SFX Local Collection |
| subjects | Approximation Asteroids Bessel functions Gravitation Inertia Laplace equation Mathematical analysis Poisson equation Preserves Spherical harmonics |
| title | Modeling the Gravitational Potential of a Nonspherical Asteroid |
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