Atlas1,491 of 3,915

II.C.46

m₃ = 0.75

From Li & Liao (2017)

II.C.46 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 99.846 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 4.270), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00117 of each other at a top speed of 31.3, line up 80 times a period, and the computed loop closes to 6.2×10⁻²⁶.

Measured over one period

Period: 99.84570051
Masses: 1 : 1 : 0.75
Energy: -0.945147
Angular momentum: 0
Closest approach: 0.001167
Top speed: 31.34
Path length: 216.35
Alignments per period: 80
Stability: weakly unstable (|λ|max 4.270)
Loop closure: 6.2×10⁻²⁶

Neighbours on the map

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