Atlas1,716 of 3,915

II.C.47

m₃ = 2

From Li & Liao (2017)

II.C.47 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 130.46 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 1.008), so a small nudge only makes it wobble. The bodies pass within 0.00000448 of each other at a top speed of 772, line up 260 times a period, and the computed loop closes to 2.0×10⁻²⁰.

Measured over one period

Period: 130.4554784
Masses: 1 : 1 : 2
Energy: -3.23577
Angular momentum: 0
Closest approach: 4.5×10⁻⁶
Top speed: 771.6
Path length: 372.18
Alignments per period: 260
Stability: stable (|λ|max 1.008)
Loop closure: 2.0×10⁻²⁰

Neighbours on the map

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