Atlas830 of 3,942

I.B.69

m₃ = 0.75

From Li & Liao (2017)

I.B.69 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 136.54 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.964), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000786 of each other at a top speed of 381, line up 184 times a period, and the computed loop closes to 5.0×10⁻²¹.

Measured over one period

Period: 136.5399122
Masses: 1 : 1 : 0.75
Energy: -1.27988
Angular momentum: 0
Closest approach: 7.9×10⁻⁶
Top speed: 381.3
Path length: 298.57
Alignments per period: 184
Topology: ababABababABAbaBABAbabABAbabABAbabABAbabABAbabABABabABAbabaBAbabaBABabABABabaBABabaBABabaBABabaBABabaBABAbaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.964)
Loop closure: 5.0×10⁻²¹

Neighbours on the map

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