Atlas1,220 of 3,942

I.B.89

m₃ = 0.5

From Li & Liao (2017)

I.B.89 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 142.86 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 0.00016 of each other at a top speed of 91.3, line up 168 times a period, and the computed loop closes to 1.5×10⁻²³.

Measured over one period

Period: 142.8584537
Masses: 1 : 1 : 0.5
Energy: -0.953412
Angular momentum: 0
Closest approach: 1.6×10⁻⁴
Top speed: 91.28
Path length: 336.17
Alignments per period: 168
Topology: aaBAbabABabAAbaBAbabABabAAbaBAbabABaaBAbaBABabABaaBAbaBABabAAbaBAbabABabAAbaBAbabABabAAbaBABabABaaBAbaBABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 1.5×10⁻²³

Neighbours on the map

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