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Orbit Determination by Solving a Boundary Value Problem

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Book cover Recent Advances in Dynamical Astronomy

Part of the book series: Astrophysics and Space Science Library ((ASSL,volume 39))

Abstract

Using Hammersteins method for solving nonlinear integral equations a procedure for a combined preliminary and definitive orbit determination of artificial earth satellites has been developed. A computer programme has been written which can at present use photographic and distance measurements. Orbit determination is done with respect to an inertial frame of reference. The usual reductions (polar motion, parallactic refraction etc.) can be applied. The model of the force field is now restricted to the gravitational field of the Earth (spherical harmonics expansion up to any order and degree), but will be extended to include air drag (CIRA 72), lunisolar attraction, radiation pressure and major geodynamical effects.

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References

  • Ilk, K. H.: 1972, ‘Zur vorläufigen Bahnbestimmung künstlicher Erdsatelliten’, BMBW-FB W 72–16 Munich.

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  • Sigl, R. et al.: 1970, ‘Anwendung der Hammersteinschen Methode der unendlich vielen Variablen auf Probleme der Satellitengeodäsie und Himmelsmechanik’, BMBW-FB W 70-33, Munich.

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  • Schneider, M.: 1972a, ‘Determinierung von Bewegungsproblemen durch zeitliche Randwerte’, BMBW-FB W 72-17, Munich.

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  • Schneider, M.: 1972b, ‘Über die Lösung von Anfangswertproblemen der Punktmechanik mit Hilfe von Randwertproblemen’, BMBW-FB W 72–23, Munich.

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Author information

Authors and Affiliations

  1. Institute for Astronomical and Physical Geodesy, Technical University Munich, Munich, Germany

    M. Schneider

Authors
  1. M. Schneider
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Editor information

Editors and Affiliations

  1. Department of Aerospace Engineering and Engineering Mechanics, University of Texas at Austin, Austin, Tex., 78712, USA

    B. D. Tapley  & V. Szebehely  & 

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© 1973 D. Reidel Publishing Company, Dordrecht-Holland

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Schneider, M. (1973). Orbit Determination by Solving a Boundary Value Problem. In: Tapley, B.D., Szebehely, V. (eds) Recent Advances in Dynamical Astronomy. Astrophysics and Space Science Library, vol 39. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-2611-6_39

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  • DOI: https://doi.org/10.1007/978-94-010-2611-6_39

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-2613-0

  • Online ISBN: 978-94-010-2611-6

  • eBook Packages: Springer Book Archive

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