Atlas816 of 3,915

I.B.45

From Li & Liao (2017)

I.B.45 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 100.4 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.038), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000604 of each other at a top speed of 40.7, line up 156 times a period, and the computed loop closes to 6.6×10⁻²⁵.

Measured over one period

Period: 100.4005372
Masses: 1 : 1 : 1
Energy: -1.70791
Angular momentum: 0
Closest approach: 6.0×10⁻⁴
Top speed: 40.70
Path length: 245.10
Alignments per period: 156
Stability: weakly unstable (|λ|max 1.038)
Loop closure: 6.6×10⁻²⁵

Neighbours on the map

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