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Transforming mean and osculating elements using numerical methods

Show simple item record Ely, Todd A. 2014-09-26T21:40:14Z 2014-09-26T21:40:14Z 2010-02-14
dc.identifier.citation 20 th AAS/AIAA Space Flight Mechanics Meeting, San Diego, California, February 14-17, 2010 en_US
dc.identifier.clearanceno 10-0441
dc.description.abstract Mean element propagation of perturbed two body orbits has as its mathematical basis averaging theory of nonlinear dynamical systems. Averaged mean elements define the long-term evolution characteristics of an orbit. Using averaging theory, a near identity transformation can be found that transforms the mean elements back to the osculating elements that contain short period terms in addition to the secular and long period mean elements. The ability to perform the conversion is necessary so that orbit design conducted in mean elements can be converted back into osculating results. In the present work, this near identity transformation is found using the Fast Fourier Transform. An efficient method is found that is capable of recovering the osculating elements to first order. en_US
dc.description.sponsorship NASA/JPL en_US
dc.language.iso en_US en_US
dc.publisher Pasadena, CA : Jet Propulsion Laboratory, National Aeronautics and Space Administration, 2010 en_US
dc.subject averaging en_US
dc.title Transforming mean and osculating elements using numerical methods en_US
dc.type Preprint en_US

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