Atlas1,951 of 3,942

II.C.296

From Li & Liao (2017)

II.C.296 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 199.9 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 0.00000314 of each other at a top speed of 565, line up 384 times a period, and the computed loop closes to 3.4×10⁻²¹.

Measured over one period

Period: 199.8953996
Masses: 1 : 1 : 1
Energy: -1.98908
Angular momentum: 0
Closest approach: 3.1×10⁻⁶
Top speed: 564.5
Path length: 558.61
Alignments per period: 384
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 3.4×10⁻²¹

Neighbours on the map

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