Atlas742 of 3,942

I.A.25

From Li, Jing & Liao (2018)

I.A.25 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 73.277 time units, published by Li, Jing & Liao (2018). Class I.A orbits found with Liao’s clean numerical simulation method, for a third body of varying mass. It is weakly unstable (largest Floquet multiplier 3.123), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00756 of each other at a top speed of 11.5, line up 78 times a period, and the computed loop closes to 8.7×10⁻²⁷.

Measured over one period

Period: 73.27681912
Masses: 1 : 1 : 1
Energy: -1.38651
Angular momentum: 0
Closest approach: 0.007556
Top speed: 11.51
Path length: 189.13
Alignments per period: 78
Topology: aaBAbaBAbaBAbaBBabABabABabAAbaBAbaBAbaBAbbABabABabAB (free-group class)
Stability: weakly unstable (|λ|max 3.123)
Loop closure: 8.7×10⁻²⁷

Neighbours on the map

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