Atlas848 of 3,942

I.B.189

From Li & Liao (2017)

I.B.189 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 196.89 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.00000364 of each other at a top speed of 524, line up 396 times a period, and the computed loop closes to 4.9×10⁻²⁰.

Measured over one period

Period: 196.8942770
Masses: 1 : 1 : 1
Energy: -2.01476
Angular momentum: 0
Closest approach: 3.6×10⁻⁶
Top speed: 523.9
Path length: 494.66
Alignments per period: 396
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 4.9×10⁻²⁰

Neighbours on the map

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