Pictures and remarks on the (restricted) three-body problem

Download the video and play with the vlc-player (other players work, too, but I haven't tried)

Return maps for global surfaces of section

Here is a link to a page with pictures. Note that these pictures are huge, so the page may take a while to load. Pictures of disk maps arising in the restricted three-body problem

A global annular surface of section in the planar, circular, restricted three-body problem (after Levi-Civita regularization and stereographic projection)

Restricted three-body in an inertial frame

AN1.mp4 (video in mp4 format)

Restricted three-body going to a rotating frame

AN2.mp4 (video in mp4 format)

Movement in the restricted three-body problem without much energy

AN3.mp4 (video in mp4 format)

Movement in the restricted three-body problem with more energy

AN4.mp4 (video in mp4 format)

Slices of the energy hypersurfaces

AN5.mp4 (video in mp4 format)

A spatial orbit: computed via Moser regularization

Orbit near light primary (mu=0.1 and c=1.3) (video in mp4 format)

A spatial orbit near the rotating Kepler problem: these were studied by Belbruno: here computed via Moser regularization

Orbit near the heavy primary (mu=0.99999 and c=0.1) (video in mp4 format)