Atlas1,634 of 3,915

II.C.55

m₃ = 0.5

From Li & Liao (2017)

II.C.55 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 39.593 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 521.6), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0022 of each other at a top speed of 24.6, line up 84 times a period, and the computed loop closes to 5.6×10⁻²⁵.

Measured over one period

Period: 39.59341464
Masses: 1 : 1 : 0.5
Energy: -1.39966
Angular momentum: 0
Closest approach: 0.002203
Top speed: 24.61
Path length: 110.52
Alignments per period: 84
Stability: unstable (|λ|max 521.6)
Loop closure: 5.6×10⁻²⁵

Neighbours on the map

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