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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Spelling suggestions: "subject:"newtonian anybody problem"" "subject:"newtonian andbody problem""

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Analysis of Multiple Collision-Based Periodic Orbits in Dimension Higher than One

Simmons, Skyler C 01 June 2015 (has links) (PDF)
We exhibit multiple periodic, collision-based orbits of the Newtonian n-body problem. Many of these orbits feature regularizable collisions between the masses. We demonstrate existence of the periodic orbits after performing the appropriate regularization. Stability, including linear stability, for the orbits is then computed using a technique due to Roberts. We point out other interesting features of the orbits as appropriate. When applicable, the results are extended to a broader family of orbits with similar behavior.
Newtonian n-body problem
collision
regularization
stability
linear stability
Sitnikov problem
Mathematics

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