Atlas935 of 3,942

I.B.8

m₃ = 0.75

From Li & Liao (2017)

I.B.8 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 23.253 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 0.00253 of each other at a top speed of 21.3, line up 36 times a period, and the computed loop closes to 7.7×10⁻²⁶.

Measured over one period

Period: 23.25273571
Masses: 1 : 1 : 0.75
Energy: -1.42247
Angular momentum: 0
Closest approach: 0.002526
Top speed: 21.25
Path length: 57.317
Alignments per period: 36
Topology: abaBAbabABAbabABabaBAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 7.7×10⁻²⁶

Neighbours on the map

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