Atlas2,135 of 3,915

II.C.36

m₃ = 0.75

From Li & Liao (2017)

II.C.36 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 38.077 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 0.0000672 of each other at a top speed of 13, line up 70 times a period, and the computed loop closes to 4.5×10⁻²⁴.

Measured over one period

Period: 38.07670388
Masses: 1 : 1 : 0.75
Energy: -1.57778
Angular momentum: 0
Closest approach: 6.7×10⁻⁵
Top speed: 130.4
Path length: 94.476
Alignments per period: 70
Stability: stable (|λ|max 1.000)
Loop closure: 4.5×10⁻²⁴

Neighbours on the map

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