Atlas806 of 3,942

I.B.85

m₃ = 0.75

From Li & Liao (2017)

I.B.85 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 129.28 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 0.0000097 of each other at a top speed of 343, line up 232 times a period, and the computed loop closes to 4.4×10⁻¹⁶.

Measured over one period

Period: 129.2760551
Masses: 1 : 1 : 0.75
Energy: -1.54409
Angular momentum: 0
Closest approach: 9.7×10⁻⁶
Top speed: 343.2
Path length: 307.96
Alignments per period: 232
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 4.4×10⁻¹⁶

Neighbours on the map

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