Atlas1,042 of 3,942

I.B.132

From Li & Liao (2017)

I.B.132 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 179.86 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 0.0000722 of each other at a top speed of 118, line up 296 times a period, and the computed loop closes to 6.6×10⁻²³.

Measured over one period

Period: 179.8624088
Masses: 1 : 1 : 1
Energy: -1.79306
Angular momentum: 0
Closest approach: 7.2×10⁻⁵
Top speed: 117.7
Path length: 476.67
Alignments per period: 296
Topology: ababABAbabaBABabaBABAbabABAbabaBABabaBABAbabABAbabaBABabaBABAbabABAbabaBABabaBABAbabABAbabaBABababABAbabABABabaBABababABAbabABABabaBABababABAbabABABabaBABababABAbabABABabaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 6.6×10⁻²³

Neighbours on the map

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