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I.B.75

From Li & Liao (2017)

I.B.75 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 136.87 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000491 of each other at a top speed of 143, line up 156 times a period, and the computed loop closes to 8.6×10⁻²³.

Measured over one period

Period: 136.8666400
Masses: 1 : 1 : 1
Energy: -1.45012
Angular momentum: 0
Closest approach: 4.9×10⁻⁵
Top speed: 142.7
Path length: 345.05
Alignments per period: 156
Topology: aaBAbaBAbbABabAAbaBAbaBBabABabAAbaBAbaBBabABaaBAbaBAbbABabABaaBAbaBBabABabAAbaBAbaBBabABabAAbaBAbbABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 8.6×10⁻²³

Neighbours on the map

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