Atlas1,932 of 3,915

II.C.62

m₃ = 2

From Li & Liao (2017)

II.C.62 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 113.22 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 2.813), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000425 of each other at a top speed of 792, line up 324 times a period, and the computed loop closes to 1.3×10⁻²⁰.

Measured over one period

Period: 113.2202464
Masses: 1 : 1 : 2
Energy: -4.11185
Angular momentum: 0
Closest approach: 4.3×10⁻⁶
Top speed: 792.1
Path length: 351.43
Alignments per period: 324
Stability: weakly unstable (|λ|max 2.813)
Loop closure: 1.3×10⁻²⁰

Neighbours on the map

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