Atlas1,653 of 3,915

II.C.84

m₃ = 2

From Li & Liao (2017)

II.C.84 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 177.7 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 0.0000284 of each other at a top speed of 306, line up 406 times a period, and the computed loop closes to 3.0×10⁻²³.

Measured over one period

Period: 177.6958840
Masses: 1 : 1 : 2
Energy: -3.55722
Angular momentum: 0
Closest approach: 2.8×10⁻⁵
Top speed: 306.2
Path length: 559.21
Alignments per period: 406
Stability: stable (|λ|max 1.000)
Loop closure: 3.0×10⁻²³

Neighbours on the map

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