Atlas1,618 of 3,915

II.C.59

m₃ = 0.75

From Li & Liao (2017)

II.C.59 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 95.665 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 301.3), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00151 of each other at a top speed of 27.6, line up 92 times a period, and the computed loop closes to 9.4×10⁻²⁵.

Measured over one period

Period: 95.66461859
Masses: 1 : 1 : 0.75
Energy: -1.06899
Angular momentum: 0
Closest approach: 0.001506
Top speed: 27.56
Path length: 220.56
Alignments per period: 92
Stability: unstable (|λ|max 301.3)
Loop closure: 9.4×10⁻²⁵

Neighbours on the map

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