Atlas1,659 of 3,915

II.C.15

m₃ = 0.5

From Li & Liao (2017)

II.C.15 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 19.788 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 66.48), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00415 of each other at a top speed of 18, line up 32 times a period, and the computed loop closes to 4.4×10⁻²⁵.

Measured over one period

Period: 19.78819989
Masses: 1 : 1 : 0.5
Energy: -1.22806
Angular momentum: 0
Closest approach: 0.004154
Top speed: 17.97
Path length: 54.505
Alignments per period: 32
Stability: unstable (|λ|max 66.48)
Loop closure: 4.4×10⁻²⁵

Neighbours on the map

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