Atlas1,133 of 3,942

I.B.9

m₃ = 0.5

From Li & Liao (2017)

I.B.9 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 25.104 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.057), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00348 of each other at a top speed of 19.6, line up 32 times a period, and the computed loop closes to 2.4×10⁻²⁶.

Measured over one period

Period: 25.10363206
Masses: 1 : 1 : 0.5
Energy: -0.993947
Angular momentum: 0
Closest approach: 0.003482
Top speed: 19.55
Path length: 59.425
Alignments per period: 32
Topology: aaBAbaBAbaBABabABabAB (free-group class)
Stability: weakly unstable (|λ|max 1.057)
Loop closure: 2.4×10⁻²⁶

Neighbours on the map

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