Many scientific applications require the implementation of spacecraft formation-flying around Earth and other celestial bodies. The control of these formations calls for simple relative dynamics models able to accurately and efficiently incorporate secular and long-periodic effects of relevant perturbations. This paper presents novel linear analytical models of the effect of solar radiation pressure (SRP) on the relative motion of two spacecraft in arbitrary eccentric orbit for two state definitions based on relative orbital elements. The new models are valid both around Earth and around other celestial bodies such as near-Earth asteroids. The linear models are derived by augmenting the state with force model parameters and Taylor expanding the differential equations of relative motion, including the secular and long-periodic effects of SRP. New state transition matrices including J 2 and SRP are formalized and validated through comparison with a high-fidelity orbit propagator around Earth and around a near-Earth asteroid. In addition, the dominant trends caused by SRP on the relative orbital elements are captured in closed-form. The new models have accuracy in the range of meter to few tens of meters in all orbit scenarios considered and can be leveraged for formation guidance, control, and design.


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    Titel :

    Linear Models for Spacecraft Relative Motion Perturbed by Solar Radiation Pressure


    Beteiligte:

    Erschienen in:

    Erscheinungsdatum :

    2019-04-22


    Format / Umfang :

    20 pages




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch