Atlas2,103 of 3,915

II.C.117

m₃ = 0.5

From Li & Liao (2017)

II.C.117 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 104.33 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 31.57), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000148 of each other at a top speed of 95, line up 152 times a period, and the computed loop closes to 4.7×10⁻²⁴.

Measured over one period

Period: 104.3314543
Masses: 1 : 1 : 0.5
Energy: -1.08350
Angular momentum: 0
Closest approach: 1.5×10⁻⁴
Top speed: 95.04
Path length: 256.72
Alignments per period: 152
Stability: unstable (|λ|max 31.57)
Loop closure: 4.7×10⁻²⁴

Neighbours on the map

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