Atlas2,081 of 3,915

II.C.64

m₃ = 0.75

From Li & Liao (2017)

II.C.64 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 49.922 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000814 of each other at a top speed of 118, line up 106 times a period, and the computed loop closes to 3.7×10⁻²⁴.

Measured over one period

Period: 49.92199911
Masses: 1 : 1 : 0.75
Energy: -1.74422
Angular momentum: 0
Closest approach: 8.1×10⁻⁵
Top speed: 118.4
Path length: 128.39
Alignments per period: 106
Stability: stable (|λ|max 1.000)
Loop closure: 3.7×10⁻²⁴

Neighbours on the map

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