Atlas1,342 of 3,915

II.A.4

m₃ = 0.5

From Li, Jing & Liao (2018)

II.A.4 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 57.613 time units, published by Li, Jing & Liao (2018). Class II.A orbits with an unequal third mass. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.000496 of each other at a top speed of 51.8, line up 74 times a period, and the computed loop closes to 9.5×10⁻¹⁴.

Measured over one period

Period: 57.61327550
Masses: 1 : 1 : 0.5
Energy: -1.01141
Angular momentum: 0
Closest approach: 5.0×10⁻⁴
Top speed: 51.83
Path length: 139.66
Alignments per period: 74
Stability: stable (|λ|max 1.000)
Loop closure: 9.5×10⁻¹⁴

Neighbours on the map

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