Toward a Gradiometer Analytic Model
The first solid attempt to model the data type, formulate the filter structure, and perform covariance, for an orbiting gravity gradiometer may be found in . To make early progress, many sweeping assumptions were made, and quite a bit was swept under the rug, although identified as such in the paper. In particular, a great deal of work was avoided by oversimplifying the dynamics. In this memo, I’ll introduce a much more elaborate and realistic model. The main new features are a general interia tensor for the floated instrument, air drag and radiation pressure models using cubic power spectra, and more reasonable kinematics. The theory for all this is developed below.
KeywordsPower Spectrum Euler Equation Radiation Pressure External Torque Filter Structure
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