Abstract
The purpose of the paper is to discuss the use of the theory of boundary value problems for partial differential equations in satellite gradiometry. An approximation of an energetic level of the satellite orbit by a geo-centric sphere is treated in connection with the problem of a boundary and boundary data definition. The choice of basic observables and their reduction to the sphere of approximation as well as possibilities to substitute the knowledge of the instrument frame orientation in space by means of invariants of the gravitational tensor are discussed. Within the framework of a linear theory the separation of field and orbit perturbation is investigated.
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References
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© 1989 Springer-Verlag
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Holota, P. (1989). Boundary value problems and invariants of the gravitational tensor in satellite gradiometry. In: Sansò, F., Rummel, R. (eds) Theory of Satellite Geodesy and Gravity Field Determination. Lecture Notes in Earth Sciences, vol 25. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0010559
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DOI: https://doi.org/10.1007/BFb0010559
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