Atlas1,663 of 3,915

II.C.44

m₃ = 0.5

From Li & Liao (2017)

II.C.44 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 79.185 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 6962), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000258 of each other at a top speed of 62.3, line up 70 times a period, and the computed loop closes to 3.8×10⁻²⁴.

Measured over one period

Period: 79.18493127
Masses: 1 : 1 : 0.5
Energy: -0.886634
Angular momentum: 0
Closest approach: 2.6×10⁻⁴
Top speed: 62.29
Path length: 164.32
Alignments per period: 70
Stability: unstable (|λ|max 6962)
Loop closure: 3.8×10⁻²⁴

Neighbours on the map

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