Atlas1,712 of 3,915

II.C.6

m₃ = 8

From Li & Liao (2017)

II.C.6 m₃ = 8 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 8 that return to their starting positions and velocities every 86.105 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 1.015), so a small nudge only makes it wobble. The bodies pass within 0.000000667 of each other at a top speed of 4618, line up 408 times a period, and the computed loop closes to 8.6×10⁻²⁰.

Measured over one period

Period: 86.10483243
Masses: 1 : 1 : 8
Energy: -14.9769
Angular momentum: 0
Closest approach: 6.7×10⁻⁷
Top speed: 4618
Path length: 465.23
Alignments per period: 408
Stability: stable (|λ|max 1.015)
Loop closure: 8.6×10⁻²⁰

Neighbours on the map

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