Atlas1,787 of 3,915

II.C.35

m₃ = 2

From Li & Liao (2017)

II.C.35 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 76.794 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 1.008), so a small nudge only makes it wobble. The bodies pass within 0.00000399 of each other at a top speed of 817, line up 208 times a period, and the computed loop closes to 8.6×10⁻²¹.

Measured over one period

Period: 76.79387505
Masses: 1 : 1 : 2
Energy: -3.97029
Angular momentum: 0
Closest approach: 4.0×10⁻⁶
Top speed: 817.1
Path length: 242.52
Alignments per period: 208
Stability: stable (|λ|max 1.008)
Loop closure: 8.6×10⁻²¹

Neighbours on the map

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