Quick Evaluation of Small Body Gravitation

Colombi, Andrew C.

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https://hdl.handle.net/2142/11479 Copy

Description

Title

Quick Evaluation of Small Body Gravitation

Author(s)

Colombi, Andrew C.

Issue Date

2008-08

Keyword(s)

• numerical analysis
• computer science

Abstract

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.

Type of Resource

text

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http://hdl.handle.net/2142/11479

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