Atlas886 of 3,942

I.B.155

From Li & Liao (2017)

I.B.155 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 192.58 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 0.0000162 of each other at a top speed of 249, line up 416 times a period, and the computed loop closes to 7.2×10⁻²¹.

Measured over one period

Period: 192.5759643
Masses: 1 : 1 : 1
Energy: -2.11643
Angular momentum: 0
Closest approach: 1.6×10⁻⁵
Top speed: 248.5
Path length: 505.36
Alignments per period: 416
Topology: ababABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABAbabaBABababABABababABABababABABababABABababABABababABABababABABababABABababABABababABABababABABababABABababABABababABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 7.2×10⁻²¹

Neighbours on the map

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