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I.B.74

From Li & Liao (2017)

I.B.74 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 141.63 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.043), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000634 of each other at a top speed of 39.7, line up 156 times a period, and the computed loop closes to 2.0×10⁻²⁴.

Measured over one period

Period: 141.6339896
Masses: 1 : 1 : 1
Energy: -1.41789
Angular momentum: 0
Closest approach: 6.3×10⁻⁴
Top speed: 39.71
Path length: 364.76
Alignments per period: 156
Topology: aaBAbaBAbaBAbbABabABabAAbaBAbaBAbbABabABabAAbaBAbaBAbbABabABabABaaBAbaBAbaBBabABabABaaBAbaBAbaBBabABabAB (free-group class)
Stability: weakly unstable (|λ|max 1.043)
Loop closure: 2.0×10⁻²⁴

Neighbours on the map

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