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I.B.81

From Li & Liao (2017)

I.B.81 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 157.39 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.014), so a small nudge only makes it wobble. The bodies pass within 0.00138 of each other at a top speed of 26.9, line up 168 times a period, and the computed loop closes to 5.8×10⁻²⁵.

Measured over one period

Period: 157.3853634
Masses: 1 : 1 : 1
Energy: -1.38874
Angular momentum: 0
Closest approach: 0.001385
Top speed: 26.88
Path length: 403.22
Alignments per period: 168
Topology: aaBAbaBAbaBAbbABabABabAAbaBAbaBAbaBBabABabABaaBAbaBAbaBAbbABabABabABaaBAbaBAbaBBabABabABabAAbaBAbaBAbbABabABabAB (free-group class)
Stability: stable (|λ|max 1.014)
Loop closure: 5.8×10⁻²⁵

Neighbours on the map

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