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A semi-analytical method to study perturbed rotational motion

  • Part 5/Use of Numerical Versus Algebraic Computation
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Abstract

A semi-analytical method is presented to study the system of differential equations governing the rotational motion of an artificial satellite. Gravity gradient and non gravitational torques are considered. Operations with trigonometric series were performed using an algebraic manipulator. Andoyer's variables are used to describe the rotational motion. The osculating elements are transformed analytically into a mean set of elements. As the differential equations in the mean elements are free of fast frequency terms, their numerical integration can be performed using a large step size.

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Authors and Affiliations

  1. Instituto Tecnológico de Aeronáutica, CTA-ITA-IEA-IEAB, 12225, São José dos Campos-SP, Brasil

    R. Vilhena de Moraes

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  1. R. Vilhena de Moraes
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Vilhena de Moraes, R. A semi-analytical method to study perturbed rotational motion. Celestial Mechanics 45, 281–284 (1988). https://doi.org/10.1007/BF01229011

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  • DOI: https://doi.org/10.1007/BF01229011

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