2026-09-21T10:02:25Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/81826 2023-07-11 col_2142_5131 col_2142_10761 com_2142_5130 com_2142_10755 com_2142_234

eng Computer Science Anil N. Hirani Colombi, Andrew C. 2015-09-25T20:20:36Z 2015-09-25T20:20:36Z 10000-01-01 2008 2008 Numerical integration of ordinary differential equations resulting from the gravitation of nearby celestial small bodies is the subject of this thesis. We present three methods that alleviate the computational burden of evaluating gravitational force near a small body: (i) adaptive polynomial interpolation, (ii) adaptive polynomial least squares approximation, and (iii) acceleration via specialized, commodity hardware. Each method is evaluated on its quantitative accuracy with respect to a reference model, and its observance of qualitative features of gravity. We conclude with a summary of methods available for computing small body gravitation, and recommendations for different scenarios. Made available in DSpace on 2015-09-25T20:20:36Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3337742.pdf: 1709793 bytes, checksum: b23f68d16490ee904fe72e89a0a2d1e9 (MD5) Previous issue date: 2008 Embargo set by: Seth Robbins for item 83107 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 102 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008. http://hdl.handle.net/2142/81826 (MiAaPQ)AAI3337742 Quick Evaluation of Small Body Gravitation text Computer Science Computer Science University of Illinois at Urbana-Champaign Dissertation Ph.D.