Atlas1,015 of 3,942

I.B.144

m₃ = 0.5

From Li & Liao (2017)

I.B.144 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 159.28 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 0.0000648 of each other at a top speed of 143, line up 300 times a period, and the computed loop closes to 3.4×10⁻²².

Measured over one period

Period: 159.2830392
Masses: 1 : 1 : 0.5
Energy: -1.25832
Angular momentum: 0
Closest approach: 6.5×10⁻⁵
Top speed: 143.4
Path length: 397.14
Alignments per period: 300
Topology: abaBabaBAbABAbaBabaBAbaBABaBAbabAbaBABaBABabAbabABabABabABabaBabABAbABAbaBabaBAbABAbaBAbabAbaBABaBAbabAbabABaBABabAbabABabABAbABabaBabABAbABAbaBabaBAbaBAbaBAbabAbaBABaBABabAbabABaBABabABabaBabABAbAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 3.4×10⁻²²

Neighbours on the map

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