Intrinsic Parameters and Satellite Orbital Elements

  • Evangelos Livieratos


The relations between the curvature and torsion of the satellite orbit with the orbital elements and the equipotential surface counterparts are revisited, using some angular quantities which define the geometry of the orbit and its relation to the equipotential surface and the line of force, i.e. the slope of the orbit (ζ), the zenith distance of the orbit (Z), the separation (θ) of the orbital plane from the equipotential surface and the separation (β) of the orbital plane from the Frenet osculating plane.


Gravity Field Orbital Plane Intrinsic Parameter Unit Tangent Vector Gravity Vector 
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  1. Grafarend, E. (1974–): All Erik Grafarend’s work on differential geodesy. Google Scholar
  2. Hotine, M. (1969): Mathematical geodesy. ESSA Monograph 2, US Dept.of Commerce. Washington DC.Google Scholar
  3. Marussi, A. (1985): Intrinsic geodesy. Springer-Verlag.CrossRefGoogle Scholar
  4. Marussi, A. (1962): Intrinsic geodesy and earth satellites. II Symp. on Geodesy in three dimensions. Cortina d’ Ampezzo, May 1962.Google Scholar
  5. Rummel, R. (1986): Satellite gradiometry. In: Mathematical and numerical methods in geodesy, H. Sünkel (ed.), Springer-Verlag.Google Scholar

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© Springer-Verlag Berlin Heidelberg 2003

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  • Evangelos Livieratos

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