Three Body Orbits — 3,915 periodic three-body orbits, visualized

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Three Body Orbits

Atlas
Families
Battle
Leaderboard
About
Personal orbit

An atlas of periodic solutions to the three-body problem.
The three-body problem has no general solution, but it has thousands of periodic orbits: three masses falling around each other and arriving, after one period, at precisely their starting positions and velocities.
Open the atlasStart a battleBrowse the families

The atlas
Every one of the 3,915 orbits has a place on the map. Orbits that look alike sit next to each other; the families form islands, and each family has its own page. Far out the map is a constellation, close up each orbit runs live, and any orbit opens on its own page, where it plays one period at a time, can be nudged off its track, rated and ranked in battles.
The animation and the map need JavaScript; everything else on this page is here.

Atlas
Families
Battle
Leaderboard
About
Personal orbit
Privacy
Licences

Three Body Orbits — 3,915 periodic three-body orbits, visualized

Skip to content

Three Body Orbits

Atlas
Families
Battle
Leaderboard
About
Personal orbit

An atlas of periodic solutions to the three-body problem.
The three-body problem has no general solution, but it has thousands of periodic orbits: three masses falling around each other and arriving, after one period, at precisely their starting positions and velocities.
Open the atlasStart a battleBrowse the families

The atlas
Every one of the 3,915 orbits has a place on the map. Orbits that look alike sit next to each other; the families form islands, and each family has its own page. Far out the map is a constellation, close up each orbit runs live, and any orbit opens on its own page, where it plays one period at a time, can be nudged off its track, rated and ranked in battles.
The animation and the map need JavaScript; everything else on this page is here.

Atlas
Families
Battle
Leaderboard
About
Personal orbit
Privacy
Licences