Atlas3,832 of 3,915

Moth IVa.2.A

m₁ = 0.980

From Li, Li & Liao (2021)

Moth IVa.2.A m₁ = 0.980 is a periodic orbit of the planar three-body problem: three masses in the ratio 0.98 : 1 : 1 that return to their starting positions and velocities every 7.3335 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 0.0473 of each other at a top speed of 4.55, line up 16 times a period, and the computed loop closes to 6.3×10⁻²⁹.

Measured over one period

Period: 7.333511312
Masses: 0.98 : 1 : 1
Energy: -2.18647
Angular momentum: 0
Closest approach: 0.04727
Top speed: 4.546
Path length: 23.232
Alignments per period: 16
Stability: stable (|λ|max 1.000)
Loop closure: 6.3×10⁻²⁹

Neighbours on the map

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