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Circular and Elliptical
Restricted 3 Body Problem

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Contact: F.X.Timmes
my one page vitae,
full vitae,
research statement, and
teaching statement.

Circular Restricted 3 Body Problem:

A classic. The tool public_cr3bp.zip contains (a) the physics engine to compute the effective potential, the Lagrange points, and the orbits of third bodies, and (b) the mongo subroutine graphics calls to make the plot and movie below.


image

Two bodies (purple disks) in the rotating frame, center of mass (black + sign), effective potential contours (blue and purple), vector gradient of effective potential (gray arrows), Lagrange points (green disks), and orbit trails of four third bodies: circular around the more massive body (red), at L5 and given a little push (gray), at L4 (red), and slightly offset from L3 (orange).
image

Same as to the left, but an mp4 movie showing the four orbits in time.


Elliptical Restricted 3 Body Problem:

Not so classic, but extra fun as the distance between the binary changes.

See the universal solution for the two body problem.
 



Please cite the relevant references if you publish a piece of work that use these codes, pieces of these codes, or modified versions of them. Offer co-authorship as appropriate.