Atlas902 of 3,942

I.B.131

m₃ = 0.5

From Li & Liao (2017)

I.B.131 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 167.88 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000295 of each other at a top speed of 213, line up 252 times a period, and the computed loop closes to 1.5×10⁻²¹.

Measured over one period

Period: 167.8845520
Masses: 1 : 1 : 0.5
Energy: -1.08027
Angular momentum: 0
Closest approach: 3.0×10⁻⁵
Top speed: 212.5
Path length: 395.75
Alignments per period: 252
Topology: abaBAbaBAbaBAbaBAbaBAbaBAbaBAbabABabABabABabABabABabABabABAbaBAbaBAbaBAbaBAbaBAbaBAbabABabABabABabABabABabABabABabaBAbaBAbaBAbaBAbaBAbaBAbaBABabABabABabABabABabABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.5×10⁻²¹

Neighbours on the map

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