Atlas1,029 of 3,942

I.B.135

m₃ = 0.5

From Li & Liao (2017)

I.B.135 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 182.18 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 0.00019 of each other at a top speed of 83.7, line up 260 times a period, and the computed loop closes to 3.2×10⁻²².

Measured over one period

Period: 182.1812065
Masses: 1 : 1 : 0.5
Energy: -1.05476
Angular momentum: 0
Closest approach: 1.9×10⁻⁴
Top speed: 83.74
Path length: 433.82
Alignments per period: 260
Topology: aaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 3.2×10⁻²²

Neighbours on the map

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