Atlas335 of 3,915

I.A.88

m₃ = 0.75

From Li, Jing & Liao (2018)

I.A.88 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 135.02 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 unstable (largest Floquet multiplier 58.26), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000107 of each other at a top speed of 104, line up 286 times a period, and the computed loop closes to 8.5×10⁻²⁴.

Measured over one period

Period: 135.0238328
Masses: 1 : 1 : 0.75
Energy: -1.73727
Angular momentum: 0
Closest approach: 1.1×10⁻⁴
Top speed: 103.5
Path length: 343.09
Alignments per period: 286
Stability: unstable (|λ|max 58.26)
Loop closure: 8.5×10⁻²⁴

Neighbours on the map

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