Atlas1,892 of 3,915

II.C.30

m₃ = 0.5

From Li & Liao (2017)

II.C.30 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 47.354 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 6.485), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00191 of each other at a top speed of 26.4, line up 54 times a period, and the computed loop closes to 7.2×10⁻²⁶.

Measured over one period

Period: 47.35391068
Masses: 1 : 1 : 0.5
Energy: -0.935021
Angular momentum: 0
Closest approach: 0.001907
Top speed: 26.43
Path length: 110.48
Alignments per period: 54
Stability: weakly unstable (|λ|max 6.485)
Loop closure: 7.2×10⁻²⁶

Neighbours on the map

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