Atlas1,713 of 3,915

II.C.4

m₃ = 5

From Li & Liao (2017)

II.C.4 m₃ = 5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 5 that return to their starting positions and velocities every 89.152 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 0.00000669 of each other at a top speed of 1116, line up 314 times a period, and the computed loop closes to 1.3×10⁻¹⁶.

Measured over one period

Period: 89.15202798
Masses: 1 : 1 : 5
Energy: -8.91247
Angular momentum: 0
Closest approach: 6.7×10⁻⁶
Top speed: 1116
Path length: 380.57
Alignments per period: 314
Stability: stable (|λ|max 1.000)
Loop closure: 1.3×10⁻¹⁶

Neighbours on the map

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