Atlas2,030 of 3,915

II.C.142

m₃ = 0.75

From Li & Liao (2017)

II.C.142 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 157.33 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 0.00000763 of each other at a top speed of 387, line up 240 times a period, and the computed loop closes to 2.7×10⁻²².

Measured over one period

Period: 157.3345206
Masses: 1 : 1 : 0.75
Energy: -1.41558
Angular momentum: 0
Closest approach: 7.6×10⁻⁶
Top speed: 387.1
Path length: 392.79
Alignments per period: 240
Stability: stable (|λ|max 1.000)
Loop closure: 2.7×10⁻²²

Neighbours on the map

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