Atlas890 of 3,942

I.B.82

m₃ = 0.75

From Li & Liao (2017)

I.B.82 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 112.11 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 2.026), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00029 of each other at a top speed of 62.8, line up 216 times a period, and the computed loop closes to 8.8×10⁻²⁵.

Measured over one period

Period: 112.1079034
Masses: 1 : 1 : 0.75
Energy: -1.63105
Angular momentum: 0
Closest approach: 2.9×10⁻⁴
Top speed: 62.76
Path length: 284.67
Alignments per period: 216
Topology: ababABabaBABabaBABabaBABabaBABabaBABabaBABabaBAbabaBABabABABabABAbabaBAbabABAbabABAbabABAbabABAbabABAbabABAbabABababABAbaBABAbaBAB (free-group class)
Stability: weakly unstable (|λ|max 2.026)
Loop closure: 8.8×10⁻²⁵

Neighbours on the map

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