Atlas3,835 of 3,942

Moth IVa.2.A

m₁ = 0.990

From Li, Li & Liao (2021)

Moth IVa.2.A m₁ = 0.990 is a periodic orbit of the planar three-body problem: three masses in the ratio 0.99 : 1 : 1 that return to their starting positions and velocities every 7.4356 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 0.0489 of each other at a top speed of 4.51, line up 16 times a period, and the computed loop closes to 5.2×10⁻²⁹.

Measured over one period

Period: 7.435641976
Masses: 0.99 : 1 : 1
Energy: -2.18150
Angular momentum: 0
Closest approach: 0.04886
Top speed: 4.506
Path length: 23.532
Alignments per period: 16
Topology: abaBAbabAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 5.2×10⁻²⁹

Neighbours on the map

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