Atlas834 of 3,942

I.B.142

From Li & Liao (2017)

I.B.142 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 192.78 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.112), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000221 of each other at a top speed of 67.3, line up 344 times a period, and the computed loop closes to 6.2×10⁻²⁵.

Measured over one period

Period: 192.7791207
Masses: 1 : 1 : 1
Energy: -1.87031
Angular momentum: 0
Closest approach: 2.2×10⁻⁴
Top speed: 67.25
Path length: 489.66
Alignments per period: 344
Topology: ababABAbabaBABAbabaBABababABABababABABababABAbabaBABAbabaBABAbabABABababABABababABAbabaBABAbabaBABAbabaBABababABABababABAbabaBABAbabaBABAbabaBABababABABababABABabaBABAbabaBABAbabaBABababABABababABAB (free-group class)
Stability: weakly unstable (|λ|max 1.112)
Loop closure: 6.2×10⁻²⁵

Neighbours on the map

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