Atlas1,588 of 3,915

II.C.65

m₃ = 2

From Li & Liao (2017)

II.C.65 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 144.08 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 1.480), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000121 of each other at a top speed of 469, line up 332 times a period, and the computed loop closes to 1.4×10⁻¹⁷.

Measured over one period

Period: 144.0844305
Masses: 1 : 1 : 2
Energy: -3.57839
Angular momentum: 0
Closest approach: 1.2×10⁻⁵
Top speed: 469.0
Path length: 456.18
Alignments per period: 332
Stability: weakly unstable (|λ|max 1.480)
Loop closure: 1.4×10⁻¹⁷

Neighbours on the map

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