Atlas1,228 of 3,942

I.B.174

From Li & Liao (2017)

I.B.174 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 193.35 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 0.000259 of each other at a top speed of 62.2, line up 268 times a period, and the computed loop closes to 9.3×10⁻²⁵.

Measured over one period

Period: 193.3502089
Masses: 1 : 1 : 1
Energy: -1.61954
Angular momentum: 0
Closest approach: 2.6×10⁻⁴
Top speed: 62.17
Path length: 509.17
Alignments per period: 268
Topology: abaBAbabABAbabABAbabABAbabABAbabABabaBABabaBABabaBABabaBABabABAbabABAbabABAbabABAbabABabaBABabaBABabaBABabaBABabaBAbabABAbabABAbabABAbabABAbaBABabaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 9.3×10⁻²⁵

Neighbours on the map

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