Atlas1,170 of 3,942

I.B.56

m₃ = 0.5

From Li & Liao (2017)

I.B.56 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 100.81 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 0.000261 of each other at a top speed of 71.4, line up 124 times a period, and the computed loop closes to 8.4×10⁻²⁵.

Measured over one period

Period: 100.8065559
Masses: 1 : 1 : 0.5
Energy: -0.975481
Angular momentum: 0
Closest approach: 2.6×10⁻⁴
Top speed: 71.43
Path length: 237.95
Alignments per period: 124
Topology: aaBAbaBAbabABabAAbaBAbaBABabABabAAbaBAbaBABabABabAAbaBAbabABabABaaBAbaBAbabABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 8.4×10⁻²⁵

Neighbours on the map

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