Atlas1,615 of 3,915

II.C.270

From Li & Liao (2017)

II.C.270 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 192.54 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 170.4), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000659 of each other at a top speed of 39, line up 272 times a period, and the computed loop closes to 1.8×10⁻²⁴.

Measured over one period

Period: 192.5445643
Masses: 1 : 1 : 1
Energy: -1.63850
Angular momentum: 0
Closest approach: 6.6×10⁻⁴
Top speed: 38.95
Path length: 508.56
Alignments per period: 272
Stability: unstable (|λ|max 170.4)
Loop closure: 1.8×10⁻²⁴

Neighbours on the map

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