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Initial orbit determination using multiple observations

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Abstract

A novel approach for initial orbit determination based on multiple angles-only observations is presented. The proposed technique is iterative and uses Lagrangian coefficients, f and g. The proposed method does not show singularity for the coplanar cases. In addition, the method is capable of handling multiple observations, providing higher accuracy, whereas the level of the algorithm complexity and processor running time remain almost invariant. The technique presented is compared with the Double r-iteration and Gauss’ methods using data corrupted by noise to simulate true measurements. Results show that the proposed method is a valid alternative to the classical methods of orbit determination.

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Authors and Affiliations

  1. Department of Aerospace Engineering, Texas A&M University, 301B Reed McDonald, College Station, TX, 77843-2112, USA

    Reza Raymond Karimi

  2. Department of Aerospace Engineering, Texas A&M University, 746 CH.R. Bright Bldg., College Station, TX, 77843-3141, USA

    Daniele Mortari

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  1. Reza Raymond Karimi
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  2. Daniele Mortari
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Correspondence to Reza Raymond Karimi.

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Karimi, R.R., Mortari, D. Initial orbit determination using multiple observations. Celest Mech Dyn Astr 109, 167–180 (2011). https://doi.org/10.1007/s10569-010-9321-3

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  • DOI: https://doi.org/10.1007/s10569-010-9321-3

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