Atlas2,062 of 3,915

II.C.46

From Li & Liao (2017)

II.C.46 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 63.656 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 0.00000016 of each other at a top speed of 2503, line up 136 times a period, and the computed loop closes to 1.8×10⁻¹⁹.

Measured over one period

Period: 63.65566681
Masses: 1 : 1 : 1
Energy: -2.10422
Angular momentum: 0
Closest approach: 1.6×10⁻⁷
Top speed: 2503
Path length: 168.76
Alignments per period: 136
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.8×10⁻¹⁹

Neighbours on the map

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