Atlas2,002 of 3,915

II.C.49

m₃ = 2

From Li & Liao (2017)

II.C.49 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 98.385 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 1.001), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00000412 of each other at a top speed of 804, line up 272 times a period, and the computed loop closes to 1.1×10⁻¹⁹.

Measured over one period

Period: 98.38463138
Masses: 1 : 1 : 2
Energy: -4.01662
Angular momentum: 0
Closest approach: 4.1×10⁻⁶
Top speed: 804.1
Path length: 299.41
Alignments per period: 272
Stability: weakly unstable (|λ|max 1.001)
Loop closure: 1.1×10⁻¹⁹

Neighbours on the map

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