Atlas1,714 of 3,915

II.C.1

m₃ = 4

From Li & Liao (2017)

II.C.1 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 15.942 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 1.005), so a small nudge only makes it wobble. The bodies pass within 0.000113 of each other at a top speed of 238, line up 50 times a period, and the computed loop closes to 1.5×10⁻²⁴.

Measured over one period

Period: 15.94195559
Masses: 1 : 1 : 4
Energy: -7.07609
Angular momentum: 0
Closest approach: 1.1×10⁻⁴
Top speed: 237.5
Path length: 62.592
Alignments per period: 50
Stability: stable (|λ|max 1.005)
Loop closure: 1.5×10⁻²⁴

Neighbours on the map

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