Atlas927 of 3,942

I.B.116

m₃ = 0.75

From Li & Liao (2017)

I.B.116 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 170.75 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.189), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000197 of each other at a top speed of 76.1, line up 336 times a period, and the computed loop closes to 9.9×10⁻²⁴.

Measured over one period

Period: 170.7534256
Masses: 1 : 1 : 0.75
Energy: -1.65312
Angular momentum: 0
Closest approach: 2.0×10⁻⁴
Top speed: 76.06
Path length: 433.32
Alignments per period: 336
Topology: ababABabaBABabaBABabaBABabaBABabaBABabaBABabaBABabaBABabaBABabaBABabaBABabaBABabaBAbabaBABabABABabABAbabaBAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABAbabABababABAbaBABAbaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.189)
Loop closure: 9.9×10⁻²⁴

Neighbours on the map

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