Atlas2,139 of 3,915

II.C.242

m₃ = 0.5

From Li & Liao (2017)

II.C.242 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 175.15 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 500.4), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000111 of each other at a top speed of 11, line up 288 times a period, and the computed loop closes to 1.6×10⁻²³.

Measured over one period

Period: 175.1478066
Masses: 1 : 1 : 0.5
Energy: -1.15660
Angular momentum: 0
Closest approach: 1.1×10⁻⁴
Top speed: 109.6
Path length: 427.42
Alignments per period: 288
Stability: unstable (|λ|max 500.4)
Loop closure: 1.6×10⁻²³

Neighbours on the map

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