Atlas1,692 of 3,915

II.C.52

m₃ = 0.75

From Li & Liao (2017)

II.C.52 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 46.823 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 250.8), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000186 of each other at a top speed of 78.3, line up 88 times a period, and the computed loop closes to 3.5×10⁻²⁴.

Measured over one period

Period: 46.82284029
Masses: 1 : 1 : 0.75
Energy: -1.65247
Angular momentum: 0
Closest approach: 1.9×10⁻⁴
Top speed: 78.33
Path length: 131.60
Alignments per period: 88
Stability: unstable (|λ|max 250.8)
Loop closure: 3.5×10⁻²⁴

Neighbours on the map

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