A New Solution to the Three Body Problem

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Title:

A New Solution to the Three Body Problem

Url:

http://www.ams.org/publicoutreach/feature-column/fcarc-orbits1

Creator:

Casselman, Bill.

Publisher:

American Mathematical Society

Description: The subject of this month's feature column from the American Mathematical Society Online is the solution to the "Three Body Problem" of Newtonian mechanics. The problem deals with three orbiting bodies of equal mass and the paths that they will take relative to one another. Solutions have been proposed by many, including Euler, Lagrange, and G.W. Hill. The article notes that solutions are sometimes called "choreographies." The well-written explanatory text discusses the figure-eight orbit, the triangle construction, other choreographies with >3 bodies, and the search for exotic orbits. It includes user-driven Java applets as demonstrations. This site should be interesting to mathematicians and non-mathematicians alike.

LC Classification:

Science -- Astronomy -- Theoretical astronomy and celestial mechanics -- Perturbations -- Planetary theory -- Special topics, A-Z -- Three body problem
Science -- Physics -- Descriptive and experimental mechanics
Science -- Physics -- Descriptive and experimental mechanics -- Study and teaching. Research
Science -- Physics -- Descriptive and experimental mechanics -- Study and teaching. Research -- Problems, exercises, examinations

GEM Subject:

Science
Science -- Physics
Science -- Instructional issues
Science -- Physical sciences

Resource Type:

Reference Material
Audio/Visual -- Graph
Instructional Material
Audio/Visual -- Image/Image Set

Format:

Document -- HTML
Application -- Java

Audience:

Educator
Learner

Education Level:

High School
Higher Education
Higher Education -- Undergraduate (Lower Division)
Higher Education -- Undergraduate (Upper Division)
Higher Education -- Technical Education (Upper Division)
Higher Education -- Technical Education (Lower Division)

Language:

English

Rights:

American Mathematical Society

Access Rights:

Free access

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Source:

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