Atlas3,837 of 3,915

Moth IVa.2.A

m₁ = 1.030

From Li, Li & Liao (2021)

Moth IVa.2.A m₁ = 1.030 is a periodic orbit of the planar three-body problem: three masses in the ratio 1.03 : 1 : 1 that return to their starting positions and velocities every 7.8654 time units, published by Li, Li & Liao (2021). The stable moth IVa.2.A continued to unequal masses: one body a little lighter or heavier than the other two, and the orbit stays stable. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0554 of each other at a top speed of 4.36, line up 16 times a period, and the computed loop closes to 1.1×10⁻²⁹.

Measured over one period

Period: 7.865401621
Masses: 1.03 : 1 : 1
Energy: -2.15855
Angular momentum: 0
Closest approach: 0.05543
Top speed: 4.361
Path length: 24.779
Alignments per period: 16
Stability: stable (|λ|max 1.000)
Loop closure: 1.1×10⁻²⁹

Neighbours on the map

All Moth IVa.2.A, unequal masses, the families of periodic three-body orbits, or the atlas map.