Atlas1,843 of 3,915

II.C.249

m₃ = 0.5

From Li & Liao (2017)

II.C.249 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 172.88 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000654 of each other at a top speed of 143, line up 324 times a period, and the computed loop closes to 3.8×10⁻¹⁵.

Measured over one period

Period: 172.8812870
Masses: 1 : 1 : 0.5
Energy: -1.26201
Angular momentum: 0
Closest approach: 6.5×10⁻⁵
Top speed: 142.8
Path length: 437.19
Alignments per period: 324
Stability: stable (|λ|max 1.000)
Loop closure: 3.8×10⁻¹⁵

Neighbours on the map

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