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A generalized approach for computing the trajectories associated with the Newtonian N body problem
KTH, School of Electrical Engineering (EES), Micro and Nanosystems. (RF MEMS)ORCID iD: 0000-0002-8264-3231
2006 (English)Manuscript (preprint) (Other academic)
Abstract [en]

The Classical Newtonian problem of describing the free motions of N gravitating bodieswhich form an isolated system in free space has been considered. It is well known from thePoincare’s Dictum that the problem is not exactly solvable. Sets of N body systems composed ofmasses having spherical symmetry, appropriate angular velocities (< 1 rad/s) and boundedposition vectors are examined. A procedure has been developed which yields expressionsapproximately defining the trajectories executed by the masses.

Place, publisher, year, edition, pages
2006. Vol. 2, no 1, p. 1-12
National Category
Other Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-199968OAI: oai:DiVA.org:kth-199968DiVA, id: diva2:1067161
Note

QC 20170330

Available from: 2017-01-20 Created: 2017-01-20 Last updated: 2017-04-10Bibliographically approved

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fulltext(224 kB)13 downloads
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CiteExportLink to record
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