Atlas1,226 of 3,942

I.B.95

From Li & Liao (2017)

I.B.95 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 147.42 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.007), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000195 of each other at a top speed of 71.5, line up 208 times a period, and the computed loop closes to 8.7×10⁻²⁵.

Measured over one period

Period: 147.4168578
Masses: 1 : 1 : 1
Energy: -1.64023
Angular momentum: 0
Closest approach: 2.0×10⁻⁴
Top speed: 71.55
Path length: 391.54
Alignments per period: 208
Topology: abaBAbabABAbabABAbabABAbabABabaBABabaBABabaBABabABAbabABAbabABAbabABabaBABabaBABabaBABabaBAbabABAbabABAbabABAbaBABabaBABabaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.007)
Loop closure: 8.7×10⁻²⁵

Neighbours on the map

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