Atlas1,772 of 3,915

II.C.143

m₃ = 0.5

From Li & Liao (2017)

II.C.143 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 87.815 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 11.45), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000126 of each other at a top speed of 103, line up 180 times a period, and the computed loop closes to 5.2×10⁻²⁴.

Measured over one period

Period: 87.81456162
Masses: 1 : 1 : 0.5
Energy: -1.33987
Angular momentum: 0
Closest approach: 1.3×10⁻⁴
Top speed: 102.9
Path length: 229.49
Alignments per period: 180
Stability: unstable (|λ|max 11.45)
Loop closure: 5.2×10⁻²⁴

Neighbours on the map

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