Atlas1,088 of 3,942

I.B.110

From Li & Liao (2017)

I.B.110 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 153.84 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 3.504), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000101 of each other at a top speed of 99.3, line up 240 times a period, and the computed loop closes to 5.0×10⁻²⁴.

Measured over one period

Period: 153.8442993
Masses: 1 : 1 : 1
Energy: -1.73587
Angular momentum: 0
Closest approach: 1.0×10⁻⁴
Top speed: 99.34
Path length: 406.30
Alignments per period: 240
Topology: ababABAbabABAbabaBABabaBABababABAbabABAbabABABabaBABabaBABAbabABAbabABAbabaBABabaBABababABAbabABAbabaBABabaBABabaBABAbabABAbabABABabaBABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 3.504)
Loop closure: 5.0×10⁻²⁴

Neighbours on the map

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