Atlas1,747 of 3,915

II.C.264

From Li & Liao (2017)

II.C.264 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 175.01 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 0.0000385 of each other at a top speed of 161, line up 250 times a period, and the computed loop closes to 6.2×10⁻²⁴.

Measured over one period

Period: 175.0110928
Masses: 1 : 1 : 1
Energy: -1.64721
Angular momentum: 0
Closest approach: 3.9×10⁻⁵
Top speed: 161.1
Path length: 459.62
Alignments per period: 250
Stability: stable (|λ|max 1.000, published)
Loop closure: 6.2×10⁻²⁴

Neighbours on the map

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