Atlas1,134 of 3,942

I.B.96

m₃ = 0.75

From Li & Liao (2017)

I.B.96 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 172.35 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 23.18), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00237 of each other at a top speed of 21.9, line up 244 times a period, and the computed loop closes to 1.8×10⁻²⁶.

Measured over one period

Period: 172.3506257
Masses: 1 : 1 : 0.75
Energy: -1.37915
Angular momentum: 0
Closest approach: 0.002371
Top speed: 21.88
Path length: 450.36
Alignments per period: 244
Topology: abaBabaBAbaBAbabAbabABabABabaBAbaBAbabAbabABabABabaBAbaBAbabAbabABabABabaBAbaBAbabAbabABabABabaBabaBAbaBAbabABabABabaBabaBAbaBAbabABabABabaBabaBAbaBAbabABabAB (free-group class)
Stability: unstable (|λ|max 23.18)
Loop closure: 1.8×10⁻²⁶

Neighbours on the map

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