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Cris Moore's Gallery

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My 1993 work was based on a simple action-minimizing approach in which I discretized the trajectory and then performed gradient descent with the position at each time. Michael pioneered a different approach, in which we perform gradient descent in the coefficients of the trajectories' Fourier transform. Using this approach, Michael and I have found a number of lovely three-dimensional orbits, including a family with cubic symmetry where 4k masses travel around 4 roughly circular interlocked orbits (where k is odd). Topologically, these orbits form the edges of a cuboctahedron. Since they have cubic symmetry, their total angular momentum is zero and their moment of inertia tensor is diagonal in the x,y,z basis.

Cris Moore's Gallery 89 captures 01 Feb 2010 - 17 Apr 2021 Jan FEB Mar 01 2009 2010 2011 success fail About this capture COLLECTED BY Organization: Alexa Crawls Starting in 1996, Alexa Internet has been donating their crawl data to the Internet Archive. Flowing in every day, these data are added to the Wayback Machine after an embargo period. Collection: alexa_web_2010 this data is currently not publicly accessible. TIMESTAMPS The Wayback Machine - https://web.archive.org/web/20100201063039/http://tuvalu.santafe.edu:80/%7Emoore/gallery.html Gallery The 3-body (and n-body) Problem In 1993 I wro

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