Atlas1,077 of 3,942

I.B.48

m₃ = 0.5

From Li & Liao (2017)

I.B.48 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 83.041 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 0.000314 of each other at a top speed of 65.2, line up 116 times a period, and the computed loop closes to 6.9×10⁻¹⁴.

Measured over one period

Period: 83.04094644
Masses: 1 : 1 : 0.5
Energy: -1.04278
Angular momentum: 0
Closest approach: 3.1×10⁻⁴
Top speed: 65.19
Path length: 197.39
Alignments per period: 116
Topology: aaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBAbaBABabABabABabABabABabABabABabABabABabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 6.9×10⁻¹⁴

Neighbours on the map

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