Atlas2,071 of 3,915

II.C.297

From Li & Liao (2017)

II.C.297 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 189.05 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 0.00000466 of each other at a top speed of 464, line up 410 times a period, and the computed loop closes to 8.9×10⁻¹⁷.

Measured over one period

Period: 189.0456503
Masses: 1 : 1 : 1
Energy: -2.11872
Angular momentum: 0
Closest approach: 4.7×10⁻⁶
Top speed: 463.5
Path length: 488.42
Alignments per period: 410
Stability: stable (|λ|max 1.000)
Loop closure: 8.9×10⁻¹⁷

Neighbours on the map

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