caa a22 4500 44586317X CHVBK 20180317145449.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s10569-011-9374-y doi (NATIONALLICENCE)springer-10.1007/s10569-011-9374-y A multiresolution model for small-body gravity estimation [Elektronische Daten] [Brandon Jones, Gregory Beylkin, George Born, Robert Provence] A new model, dubbed the MRQSphere, provides a multiresolution representation of the gravity field designed for its estimation. The multiresolution representation uses an approximation via Gaussians of the solution of the Laplace's equation in the exterior of a sphere. Also, instead of the spherical harmonics, variations in the angular variables are modeled by a set of functions constructed using quadratures for the sphere invariant under the icosahedral group. When combined, these tools specify the spatial resolution of the gravity field as a function of altitude and required accuracy. We define this model, and apply it to representing and estimating the gravity field of the asteroid 433 Eros. We verified that a MRQSphere model derived directly from the true spherical harmonics gravity model satisfies the user defined precision. We also use the MRQSphere model to estimate the gravity field of Eros for a simulated satellite mission, yielding a solution with accuracy only limited by measurement errors and their spatial distribution. Springer Science+Business Media B.V., 2011 Gravity modeling nationallicence Spherical harmonics nationallicence Gravity estimation nationallicence Quadratures for the sphere nationallicence Multiresolution representations nationallicence Asteroid Eros nationallicence Jones Brandon Colorado Center for Astrodynamics Research, University of Colorado, UCB 431, 80309, Boulder, CO, USA aut Beylkin Gregory Department of Applied Mathematics, University of Colorado, UCB 526, 80309, Boulder, CO, USA aut Born George Colorado Center for Astrodynamics Research, University of Colorado, UCB 431, 80309, Boulder, CO, USA aut Provence Robert Aerosciences and Flight Mechanics Division, NASA Johnson Space Center, 2101 NASA Parkway, 77058, Houston, TX, USA aut Celestial Mechanics and Dynamical Astronomy Springer Netherlands 111/3(2011-11-01), 309-335 0923-2958 111:3<309 2011 111 10569 https://doi.org/10.1007/s10569-011-9374-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10569-011-9374-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Jones Brandon Colorado Center for Astrodynamics Research, University of Colorado, UCB 431, 80309, Boulder, CO, USA aut NATIONALLICENCE 700 1- Beylkin Gregory Department of Applied Mathematics, University of Colorado, UCB 526, 80309, Boulder, CO, USA aut NATIONALLICENCE 700 1- Born George Colorado Center for Astrodynamics Research, University of Colorado, UCB 431, 80309, Boulder, CO, USA aut NATIONALLICENCE 700 1- Provence Robert Aerosciences and Flight Mechanics Division, NASA Johnson Space Center, 2101 NASA Parkway, 77058, Houston, TX, USA aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Springer Netherlands 111/3(2011-11-01), 309-335 0923-2958 111:3<309 2011 111 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer