Atlas2,056 of 3,915

II.C.167

m₃ = 0.75

From Li & Liao (2017)

II.C.167 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 171.62 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 0.00000404 of each other at a top speed of 532, line up 398 times a period, and the computed loop closes to 2.1×10⁻²⁰.

Measured over one period

Period: 171.6162457
Masses: 1 : 1 : 0.75
Energy: -1.85752
Angular momentum: 0
Closest approach: 4.0×10⁻⁶
Top speed: 532.1
Path length: 461.11
Alignments per period: 398
Stability: stable (|λ|max 1.000)
Loop closure: 2.1×10⁻²⁰

Neighbours on the map

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