Atlas2,039 of 3,942

II.C.60

m₃ = 0.5

From Li & Liao (2017)

II.C.60 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 61.235 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 110.8), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00203 of each other at a top speed of 25.6, line up 90 times a period, and the computed loop closes to 2.3×10⁻²⁵.

Measured over one period

Period: 61.23540563
Masses: 1 : 1 : 0.5
Energy: -1.09414
Angular momentum: 0
Closest approach: 0.002027
Top speed: 25.63
Path length: 152.25
Alignments per period: 90
Topology: aaBAbaBAbaBAbabABabAAbaBAbaBAbaBABabABabABaaBAbaBABabABabAB (free-group class)
Stability: unstable (|λ|max 110.8)
Loop closure: 2.3×10⁻²⁵

Neighbours on the map

All II.C orbits, the families of periodic three-body orbits, or the atlas map.