Atlas1,928 of 3,915

II.C.63

m₃ = 2

From Li & Liao (2017)

II.C.63 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 122.68 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.00000144 of each other at a top speed of 1361, line up 324 times a period, and the computed loop closes to 4.5×10⁻²¹.

Measured over one period

Period: 122.6812048
Masses: 1 : 1 : 2
Energy: -3.89711
Angular momentum: 0
Closest approach: 1.4×10⁻⁶
Top speed: 1361
Path length: 371.19
Alignments per period: 324
Stability: stable (|λ|max 1.000)
Loop closure: 4.5×10⁻²¹

Neighbours on the map

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