Atlas1,279 of 3,915

I.B.57

From Li & Liao (2017)

I.B.57 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 83.982 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is unstable (largest Floquet multiplier 61.8), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0335 of each other at a top speed of 5.47, line up 84 times a period, and the computed loop closes to 1.5×10⁻²⁷.

Measured over one period

Period: 83.98205794
Masses: 1 : 1 : 1
Energy: -1.33179
Angular momentum: 0
Closest approach: 0.03350
Top speed: 5.474
Path length: 218.45
Alignments per period: 84
Stability: unstable (|λ|max 61.80)
Loop closure: 1.5×10⁻²⁷

Neighbours on the map

All I.B orbits, the families of periodic three-body orbits, or the atlas map.