Atlas1,212 of 3,942

I.B.120

From Li & Liao (2017)

I.B.120 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 193.13 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.003), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000244 of each other at a top speed of 64, line up 260 times a period, and the computed loop closes to 3.1×10⁻²⁵.

Measured over one period

Period: 193.1285092
Masses: 1 : 1 : 1
Energy: -1.59162
Angular momentum: 0
Closest approach: 2.4×10⁻⁴
Top speed: 63.98
Path length: 507.12
Alignments per period: 260
Topology: abaBAbabABAbabABAbabABabaBABabaBABabaBAbabABAbabABAbaBABabaBABabaBABabABAbabABAbabABabaBABabaBABabaBAbabABAbabABAbabABabaBABabaBABabABAbabABAbabABAbaBABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.003)
Loop closure: 3.1×10⁻²⁵

Neighbours on the map

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