Atlas1,122 of 3,942

I.B.75

m₃ = 0.5

From Li & Liao (2017)

I.B.75 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 113.15 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 2.168), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000449 of each other at a top speed of 54.5, line up 156 times a period, and the computed loop closes to 5.3×10⁻²⁵.

Measured over one period

Period: 113.1508640
Masses: 1 : 1 : 0.5
Energy: -1.04015
Angular momentum: 0
Closest approach: 4.5×10⁻⁴
Top speed: 54.51
Path length: 271.31
Alignments per period: 156
Topology: aaBAbaBAbaBAbaBAbabABabABabABabABaaBAbaBAbaBAbaBAbaBABabABabABabABabAAbaBAbaBAbaBAbaBABabABabABabABabAB (free-group class)
Stability: weakly unstable (|λ|max 2.168)
Loop closure: 5.3×10⁻²⁵

Neighbours on the map

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