Atlas978 of 3,942

I.B.111

m₃ = 0.75

From Li & Liao (2017)

I.B.111 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 196.91 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 0.0000421 of each other at a top speed of 165, line up 296 times a period, and the computed loop closes to 1.1×10⁻²².

Measured over one period

Period: 196.9056014
Masses: 1 : 1 : 0.75
Energy: -1.39960
Angular momentum: 0
Closest approach: 4.2×10⁻⁵
Top speed: 164.7
Path length: 486.58
Alignments per period: 296
Topology: abaBAbabABAbabABabaBABabABAbabABabaBABabABAbabABabaBABabABAbabABabaBABabABAbabABabaBABabABAbabABabaBABabaBAbabABAbaBABabaBAbabABAbaBABabaBAbabABAbaBABabaBAbabABAbaBABabaBAbabABAbaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.1×10⁻²²

Neighbours on the map

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