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Determination of Phobos’ rotational parameters by an inertial frame bundle block adjustment

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Abstract

A functional model for a bundle block adjustment in the inertial reference frame was developed, implemented and tested. This approach enables the determination of rotation parameters of planetary bodies on the basis of photogrammetric observations. Tests with a self-consistent synthetic data set showed that the implementation converges reliably toward the expected values of the introduced unknown parameters of the adjustment, e.g., spin pole orientation, and that it can cope with typical observational errors in the data. We applied the model to a data set of Phobos using images from the Mars Express and the Viking mission. With Phobos being in a locked rotation, we computed a forced libration amplitude of \(1.14^\circ \pm 0.03^\circ \) together with a control point network of 685 points.

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Acknowledgements

We thank the HRSC Experiment team at DLR, Institute of Planetary Research, Berlin, and at Freie Universität Berlin, the HRSC Science Team, as well as the Mars Express Project teams at ESTEC, ESOC, and ESAC for their successful planning and acquisition of data as well as for making processed data available to the HRSC team. S. Burmeister was supported by the Deutsche Forschungsgemeinschaft (DFG) under FKZ OB 124/11-1 and FKZ OB 124/14-1.

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Authors and Affiliations

  1. Institute of Geodesy and Geoinformation Science, Technische Universität Berlin, Straße des 17. Juni 135, 10623, Berlin, Germany

    Steffi Burmeister, Valentina Schmidt & Jürgen Oberst

  2. Institute of Planetary Research, German Aerospace Center (DLR), Rutherfordstr. 2, 12489, Berlin, Germany

    Konrad Willner

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  1. Steffi Burmeister
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  2. Konrad Willner
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  3. Valentina Schmidt
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  4. Jürgen Oberst
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Correspondence to Steffi Burmeister.

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Burmeister, S., Willner, K., Schmidt, V. et al. Determination of Phobos’ rotational parameters by an inertial frame bundle block adjustment. J Geod 92, 963–973 (2018). https://doi.org/10.1007/s00190-018-1112-8

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  • DOI: https://doi.org/10.1007/s00190-018-1112-8

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