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Mathematical Gravity Modeling Advancement (MaGMA)
Contact and place of performance
Daniel R.Fadely
Saint Louis, MO
USA
The vendor shall develop more realistic planetary models based on previous work provided by NGA. These models will be composed of layers, mass elements, and triangulations that allow for spatial and radial density variations. Furthermore, the planetary models will incorporate these components in such a way that they allow for finer resolution in regions of interest (i.e. irregular triangulations and inhomogeneous mas...
View moreThe vendor shall develop and explore the theoretical basis for new computational approaches to estimating the spherical harmonic expansion (SHE) model coefficients. This will involve “out-of-core” inverse techniques, such as stochastic gradient descent (SGD) based on mini-batches, which will lower the memory use associated with typical large scale matrix inversion. Furthermore, the vendor will also explore other methods to obtain the SHE model coefficients from forward modelling procedures.
The vendor may conduct reviews of potential new avenues of research or development aligned with the previous topics and shall work with NGA Subject Matter Experts (SMEs) and the Principal Investigator (PI) to evaluate whether new techniques, methods, or algorithms will provide benefit to NGA. Approval from the PI is required for significant changes in resources or time applied to the development of the overall deliverables.
The National Geospatial-Intelligence Agency (NGA) issued this pre-solicitation notice for the Mathematical Gravity Modeling Advancement (MaGMA) project. The selected vendor will develop realistic planetary models based on NGA-provided work, incorporating layers, mass elements, and triangulations to allow for spatial and radial density variations. These models will facilitate finer resolution in specific regions of interest through irregular triangulations and inhomogeneous mass element distributions. While at least one model will represent Earth, others may include fictitious planets or celestial bodies such as the Moon and Bennu. Gravimetric quantities derived from these models will be validated against existing modeling techniques, including Residual Terrain Modeling (RTM) and Earth Gravitational Model 2008 (EGM08).
The scope of work includes implementing and enhancing analytic continuation code by integrating provided software into the main Next Generation Spherical Cap (NGSC) framework. The vendor will test new methods for analytic continuation and evaluate code for parallel computation applicability in preparation for operational use. Additionally, the project involves developing the theoretical basis for new computational approaches to estimating spherical harmonic expansion (SHE) model coefficients. This includes exploring "out-of-core" inverse techniques, such as stochastic gradient descent based on mini-batches, to reduce memory consumption during large-scale matrix inversion, as well as forward modeling procedures for SHE coefficients.
This research and development effort is classified under NAICS 541715 for Research and Development in the Physical, Engineering, and Life Sciences (except Nanotechnology and Biotechnology) and PSC AJ12 for General Science and Technology R&D Services; General Science and Technology; Applied Research. There is no set-aside designated for this requirement. Performance will take place in Saint Louis, Missouri, and the response deadline is April 30, 2026. The vendor will collaborate with NGA Subject Matter Experts and the Principal Investigator to evaluate new techniques and research avenues aligned with these objectives.
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