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Attitude Dynamics

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Spacecraft Operations

Part of the book series: Springer Aerospace Technology ((SAT))

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Abstract

The theory of attitude control for satellites is presented. The definition of “attitude” is followed by a description of the several disturbances and of the methods to determine the current status of rotational motion. An attitude prediction into the near future allows for active control, either in one or in three axes, either done autonomously on board or by commanding. The principles of attitude propagation and control are described, as well as the possible types of control mechanism. Comparisons between theory and practice are made and several examples are given from real missions.

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Notes

  1. 1.

    The single rotation axis is an eigenvector of the direction cosine matrix A; for example, A ⋅ rx = rx, when rx is the rotation axis.

  2. 2.

    Properties of the two GRACE (Gravity Recovery And Climate Experiment) follow-on satellites launched in 2018. Peculiarities of this mission are the microwave and laser links between their frontends over 220 ± 50 km. This implies that both fly with a ~ − 1° pitch bias with respect to the flight direction.

  3. 3.

    Aberration is the apparent displacement of a star due to the motion of the observer; for a satellite moving at a velocity v with respect to the fixed stars the displacement ≈ v/c sin φ, where c is the velocity of light and φ denotes the angle between motion and star direction.

  4. 4.

    Another satellite, a comet, an asteroid or meteoroid could transitorily be identified as a star. Blinding could lead to afterglow on one or more pixels with the same result.

  5. 5.

    Right ascension is measured along the Earth’s equator towards the east; zero point is the direction of the vernal equinox at the specified epoch. Declination is measured perpendicular to the equator and is positive towards the north.

  6. 6.

    TerraSAR-X, TanDEM-X, and PAZ are all build like that.

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Correspondence to Ralph Kahle .

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Herman, J., Kahle, R., Spiridonova, S. (2022). Attitude Dynamics. In: Sellmaier, F., Uhlig, T., Schmidhuber, M. (eds) Spacecraft Operations. Springer Aerospace Technology. Springer, Cham. https://doi.org/10.1007/978-3-030-88593-9_14

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  • DOI: https://doi.org/10.1007/978-3-030-88593-9_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-88592-2

  • Online ISBN: 978-3-030-88593-9

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