Atlas1,774 of 3,915

II.C.254

m₃ = 0.5

From Li & Liao (2017)

II.C.254 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 170.64 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 34.49), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000923 of each other at a top speed of 12, line up 366 times a period, and the computed loop closes to 1.8×10⁻²³.

Measured over one period

Period: 170.6390914
Masses: 1 : 1 : 0.5
Energy: -1.38146
Angular momentum: 0
Closest approach: 9.2×10⁻⁵
Top speed: 120.2
Path length: 446.16
Alignments per period: 366
Stability: unstable (|λ|max 34.49)
Loop closure: 1.8×10⁻²³

Neighbours on the map

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