Atlas1,927 of 3,942

II.C.95

m₃ = 2

From Li & Liao (2017)

II.C.95 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 199.18 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 0.00000684 of each other at a top speed of 624, line up 540 times a period, and the computed loop closes to 3.2×10⁻²¹.

Measured over one period

Period: 199.1773957
Masses: 1 : 1 : 2
Energy: -3.96590
Angular momentum: 0
Closest approach: 6.8×10⁻⁶
Top speed: 624.4
Path length: 607.87
Alignments per period: 540
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 3.2×10⁻²¹

Neighbours on the map

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