Atlas1,457 of 3,915

II.C.26

m₃ = 2

From Li & Liao (2017)

II.C.26 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 116.68 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 1.033), so a small nudge only makes it wobble. The bodies pass within 0.0000448 of each other at a top speed of 244, line up 154 times a period, and the computed loop closes to 1.1×10⁻²³.

Measured over one period

Period: 116.6767632
Masses: 1 : 1 : 2
Energy: -2.49671
Angular momentum: 0
Closest approach: 4.5×10⁻⁵
Top speed: 244.0
Path length: 332.84
Alignments per period: 154
Stability: stable (|λ|max 1.033)
Loop closure: 1.1×10⁻²³

Neighbours on the map

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