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Tesseral harmonic perturbations in radial transverse and binormal components

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Abstract

The formulae for the perturbations in radial, transverse and binormal components of the Earth artificial satellite motion have been derived. Perturbations due to the tesseral part of the geopotential are considered. The geopotential expressed in terms of the orbital elements has the form proposed by Wnuk (1988). The formulae for the perturbations have been obtained using the Hori (1966) method. They can be effectively applied in calculation of the perturbations in the components including the coefficients of the high order and degree tesseral harmonics. The derived formulae reveal no singularities at zero eccentricity.

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References

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Authors and Affiliations

  1. Astronomical Observatory of the A. Mickiewicz University, Poznah, Poland

    Edwin Wnuk & Slawomir Breiter

Authors
  1. Edwin Wnuk
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  2. Slawomir Breiter
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Wnuk, E., Breiter, S. Tesseral harmonic perturbations in radial transverse and binormal components. Celestial Mech Dyn Astr 48, 375–385 (1990). https://doi.org/10.1007/BF00049391

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  • DOI: https://doi.org/10.1007/BF00049391

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