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Descripción
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| This paper explores the connection between the concept of synchronism and the accuracy of the solutions to relative motion. If the problem is formulated using an independent variable different from time it is possible to escape from the standard time-synchronism, obtaining an asynchronous solution. The synchronism may be recovered through a first order correction. This correction is based on the dynamics of the problem, and higher-order terms are easily retained. A second order correction introduces nonlinear effects in the solution through simple mechanisms, and improves its accuracy. The proposed correction is a generic concept not restricted to any particular formulation. To illustrate this assertion the second order correction is applied to the Clohessy-Wiltshire solution and to the Yamanaka-Ankersen state transition matrix. The fundamentals of synchronism are introduced by deriving the variational solution to relative motion using the equinoctial orbital elements. Numerical results show that the corrected solutions may reduce the error by several orders of magnitude, both in position and velocity. The corrected solution may be more accurate than the exact solution to the second and third-order equations of motion in long-term propagations. | |
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Internacional
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Si |
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Nombre congreso
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25th AAS/AIAA Spaceflight Mechanics Meeting |
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Tipo de participación
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960 |
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Lugar del congreso
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Williamsburg, Virginia |
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Revisores
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No |
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ISBN o ISSN
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1081-6003 |
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DOI
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Fecha inicio congreso
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11/01/2015 |
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Fecha fin congreso
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15/01/2015 |
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Desde la página
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1 |
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Hasta la página
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20 |
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Título de las actas
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Advances in the Astronautical Sciences |