Atlas801 of 3,942

I.B.105

m₃ = 0.5

From Li & Liao (2017)

I.B.105 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 126.29 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 0.00000738 of each other at a top speed of 425, line up 208 times a period, and the computed loop closes to 2.0×10⁻¹⁶.

Measured over one period

Period: 126.2887308
Masses: 1 : 1 : 0.5
Energy: -1.13292
Angular momentum: 0
Closest approach: 7.4×10⁻⁶
Top speed: 425.2
Path length: 291.69
Alignments per period: 208
Topology: abaBAbaBAbabABabABabaBAbaBAbabABabABabABAbaBAbaBABabABabABAbaBAbaBAbabABabABabaBAbaBAbabABabABabaBAbaBAbaBABabABabABAbaBAbaBABabABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.0×10⁻¹⁶

Neighbours on the map

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