Atlas1,531 of 3,915

II.C.58

m₃ = 2

From Li & Liao (2017)

II.C.58 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 180.06 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 0.00019 of each other at a top speed of 118, line up 304 times a period, and the computed loop closes to 5.8×10⁻²⁴.

Measured over one period

Period: 180.0585926
Masses: 1 : 1 : 2
Energy: -2.91863
Angular momentum: 0
Closest approach: 1.9×10⁻⁴
Top speed: 118.4
Path length: 531.37
Alignments per period: 304
Stability: stable (|λ|max 1.000)
Loop closure: 5.8×10⁻²⁴

Neighbours on the map

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