Atlas1,643 of 3,915

II.C.19

m₃ = 4

From Li & Liao (2017)

II.C.19 m₃ = 4 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 4 that return to their starting positions and velocities every 183.4 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 0.0000035 of each other at a top speed of 1352, line up 538 times a period, and the computed loop closes to 6.7×10⁻²¹.

Measured over one period

Period: 183.4012996
Masses: 1 : 1 : 4
Energy: -6.77108
Angular momentum: 0
Closest approach: 3.5×10⁻⁶
Top speed: 1352
Path length: 715.77
Alignments per period: 538
Stability: stable (|λ|max 1.000)
Loop closure: 6.7×10⁻²¹

Neighbours on the map

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