Atlas2,082 of 3,915

II.C.165

m₃ = 0.75

From Li & Liao (2017)

II.C.165 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 166.21 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 26.39), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000519 of each other at a top speed of 469, line up 348 times a period, and the computed loop closes to 4.2×10⁻¹⁸.

Measured over one period

Period: 166.2145766
Masses: 1 : 1 : 0.75
Energy: -1.72739
Angular momentum: 0
Closest approach: 5.2×10⁻⁶
Top speed: 469.1
Path length: 425.71
Alignments per period: 348
Stability: unstable (|λ|max 26.39)
Loop closure: 4.2×10⁻¹⁸

Neighbours on the map

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