Atlas1,933 of 3,915

II.C.145

m₃ = 0.75

From Li & Liao (2017)

II.C.145 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 110.06 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 1.017), so a small nudge only makes it wobble. The bodies pass within 0.00000728 of each other at a top speed of 396, line up 254 times a period, and the computed loop closes to 1.5×10⁻²⁰.

Measured over one period

Period: 110.0586247
Masses: 1 : 1 : 0.75
Energy: -1.83392
Angular momentum: 0
Closest approach: 7.3×10⁻⁶
Top speed: 396.1
Path length: 278.84
Alignments per period: 254
Stability: stable (|λ|max 1.017)
Loop closure: 1.5×10⁻²⁰

Neighbours on the map

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