Atlas1,255 of 3,942

I.B.165

From Li & Liao (2017)

I.B.165 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 176.43 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 0.000513 of each other at a top speed of 44.2, line up 188 times a period, and the computed loop closes to 1.3×10⁻²⁴.

Measured over one period

Period: 176.4254159
Masses: 1 : 1 : 1
Energy: -1.37648
Angular momentum: 0
Closest approach: 5.1×10⁻⁴
Top speed: 44.17
Path length: 443.62
Alignments per period: 188
Topology: abaBAbabABabaBAbabABabaBAbabABabABAbaBABabABAbaBABabABAbaBAbabABabaBAbabABabaBAbabABabaBAbaBABabABAbaBABabABAbaBABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.3×10⁻²⁴

Neighbours on the map

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