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I.B.105

From Li & Liao (2017)

I.B.105 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 180.21 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 3.458), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000384 of each other at a top speed of 161, line up 204 times a period, and the computed loop closes to 4.1×10⁻²³.

Measured over one period

Period: 180.2118986
Masses: 1 : 1 : 1
Energy: -1.44350
Angular momentum: 0
Closest approach: 3.8×10⁻⁵
Top speed: 161.4
Path length: 454.35
Alignments per period: 204
Topology: aaBAbaBAbbABabAAbaBAbaBBabABabAAbaBAbaBBabABaaBAbaBAbbABabABaaBAbaBAbbABabABaaBAbaBBabABabAAbaBAbaBBabABabAAbaBAbbABabABaaBAbaBAbbABabAB (free-group class)
Stability: weakly unstable (|λ|max 3.458)
Loop closure: 4.1×10⁻²³

Neighbours on the map

All I.B orbits, the families of periodic three-body orbits, or the atlas map.