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Descripción
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| A more adequate description of perturbed hyperbolic orbits is found in the geometry underlying Minkowski space-time. Hypercomplex numbers appear naturally when describing vectors, rotations, and metrics in this geometry. The solution to the unperturbed hyperbolic motion is well known in terms of hyperbolic functions and the hyperbolic anomaly. From this, a general solution is derived through the Variation of Parameters technique. Hyperbolic geometry leads to a more coherent formulation. The evolution of the eccentricity vector is described by means of its components on the Minkowski plane. The orbital plane is defined in the inertial reference using quaternions, treated as particular instances of hypercomplex numbers. The performance of the proposed formulation is evaluated for integrating flyby trajectories of NEAR, Cassini, and Rosetta spacecraft. Improvements in ac- curacy have been observed in these cases, with no penalties on the computational time. | |
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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 |