Atlas1,691 of 3,915

II.C.40

m₃ = 0.75

From Li & Liao (2017)

II.C.40 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 38.757 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 14.75), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000752 of each other at a top speed of 123, line up 72 times a period, and the computed loop closes to 9.9×10⁻²⁴.

Measured over one period

Period: 38.75653874
Masses: 1 : 1 : 0.75
Energy: -1.64284
Angular momentum: 0
Closest approach: 7.5×10⁻⁵
Top speed: 123.4
Path length: 109.47
Alignments per period: 72
Stability: unstable (|λ|max 14.75)
Loop closure: 9.9×10⁻²⁴

Neighbours on the map

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