Atlas1,224 of 3,942

I.B.28

m₃ = 0.75

From Li & Liao (2017)

I.B.28 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 84.787 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 62.71), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0023 of each other at a top speed of 22.3, line up 96 times a period, and the computed loop closes to 1.8×10⁻²⁵.

Measured over one period

Period: 84.78676128
Masses: 1 : 1 : 0.75
Energy: -1.18701
Angular momentum: 0
Closest approach: 0.002296
Top speed: 22.30
Path length: 204.15
Alignments per period: 96
Topology: abaBAbaBAbabABabABabABAbaBAbaBAbabABabABabaBAbaBAbaBABabABabAB (free-group class)
Stability: unstable (|λ|max 62.71)
Loop closure: 1.8×10⁻²⁵

Neighbours on the map

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