Atlas1,021 of 3,942

I.B.170

From Li & Liao (2017)

I.B.170 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 152.34 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 0.0000876 of each other at a top speed of 107, line up 256 times a period, and the computed loop closes to 5.8×10⁻²⁴.

Measured over one period

Period: 152.3413801
Masses: 1 : 1 : 1
Energy: -1.81515
Angular momentum: 0
Closest approach: 8.8×10⁻⁵
Top speed: 106.9
Path length: 403.27
Alignments per period: 256
Topology: ababABAbabaBABababABAbabABABabaBABAbabABAbabaBABababABAbabABABabaBABAbabABAbabaBABababABAbabaBABabaBABAbabABABabaBABababABAbabaBABabaBABAbabABABabaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 5.8×10⁻²⁴

Neighbours on the map

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