Statistical Orbit Determination

By Byron D. Tapley, Bob E. Schutz, George H. Born. 2004

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GipsyX/RTGx, a new tool set for space geodetic operations and research (2020, methodology): “For an overview of POD and measurement processing see the books [Tapley et al., 2004b] and [Bierman, 1977].”
Improved methods for observing Earth's time variable mass distribution with GRACE using spherical cap mascons (2015, methodology): “As discussed in section 3.0, the monthly gravity solution is obtained by solving the well-known weighted least squares problem, given by [Tapley et al., 2004] HTWHþ P0 1 x̂0 ¼ HTWy þ P0 1x0; (13) where H is a matrix of partial derivatives relating the observations (y), given in Table 2, to the…”
Probabilistic Initial Orbit Determination Using Gaussian Mixture Models (2013, methodology): “One approach used inmany orbit determination applications is to perform an initial orbit determination (IOD) step and then refine the initial estimate provided by IOD via a batch processor mechanism (see [1] for details on the batch processor) before transitioning to sequential estimation [e.”
The JPL lunar gravity field to spherical harmonic degree 660 from the GRAIL Primary Mission (2013, methodology): “…measuring the line-of-sight spacecraft velocity to 0.3mm/s or 300 μm/s. Based upon the Earth Gravity Recovery and Climate Experiment (GRACE) mission [Tapley et al., 2004a], the GRAIL mission [Zuber et al., 2013a] uses two spacecraft flying in formation [Roncoli and Fujii, 2010] to provide the…”