Atlas1,608 of 3,915

II.C.65

m₃ = 0.75

From Li & Liao (2017)

II.C.65 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 90.458 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 444.9), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00268 of each other at a top speed of 20.6, line up 98 times a period, and the computed loop closes to 9.6×10⁻²⁵.

Measured over one period

Period: 90.45770206
Masses: 1 : 1 : 0.75
Energy: -1.15803
Angular momentum: 0
Closest approach: 0.002681
Top speed: 20.57
Path length: 217.34
Alignments per period: 98
Stability: unstable (|λ|max 444.9)
Loop closure: 9.6×10⁻²⁵

Neighbours on the map

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