Atlas1,321 of 3,942

I.B.97

From Li & Liao (2017)

I.B.97 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 172.19 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 1.000), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000325 of each other at a top speed of 55.5, line up 192 times a period, and the computed loop closes to 1.1×10⁻²⁴.

Measured over one period

Period: 172.1857298
Masses: 1 : 1 : 1
Energy: -1.42931
Angular momentum: 0
Closest approach: 3.2×10⁻⁴
Top speed: 55.49
Path length: 440.99
Alignments per period: 192
Topology: aaBAbaBAbaBBabABabAAbaBAbaBAbbABabABaaBAbaBAbaBBabABabAAbaBAbaBAbbABabABabAAbaBAbaBBabABabABaaBAbaBAbbABabABabAAbaBAbaBBabABabAB (free-group class)
Stability: weakly unstable (|λ|max 1.000)
Loop closure: 1.1×10⁻²⁴

Neighbours on the map

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