Atlas2,181 of 3,915

II.C.66

m₃ = 0.5

From Li & Liao (2017)

II.C.66 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 75.45 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 18.76), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000628 of each other at a top speed of 46.1, line up 98 times a period, and the computed loop closes to 4.8×10⁻²⁵.

Measured over one period

Period: 75.44975216
Masses: 1 : 1 : 0.5
Energy: -0.994463
Angular momentum: 0
Closest approach: 6.3×10⁻⁴
Top speed: 46.07
Path length: 173.45
Alignments per period: 98
Stability: unstable (|λ|max 18.76)
Loop closure: 4.8×10⁻²⁵

Neighbours on the map

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