Abstract
Space techniques have been used to refine our knowledge of the geoid. Especially space satellite gradiometry has been shown to be very effective in providing a short wavelength gravitational model. The basic observable from satellite gradiometry is a 3D second rank tensor, which is random in nature. The purpose of this paper is to discuss the probability density distribution, the accuracy and biases of the eigenspectra of the random gravity tensor. Given a pdf of the random gravity tensor, we will derive the pdf of the eigenspectra. The accuracy of the eigenspectra will be computed with the first order approximation.
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Xu, P., Shimada, S. (1997). On Random 3D Second Rank Gravity Tensors. In: Segawa, J., Fujimoto, H., Okubo, S. (eds) Gravity, Geoid and Marine Geodesy. International Association of Geodesy Symposia, vol 117. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03482-8_29
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DOI: https://doi.org/10.1007/978-3-662-03482-8_29
Publisher Name: Springer, Berlin, Heidelberg
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