Atlas2,156 of 3,942

II.C.130

m₃ = 0.5

From Li & Liao (2017)

II.C.130 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 130.07 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 587.3), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000613 of each other at a top speed of 46.6, line up 162 times a period, and the computed loop closes to 6.6×10⁻²⁵.

Measured over one period

Period: 130.0655194
Masses: 1 : 1 : 0.5
Energy: -0.971812
Angular momentum: 0
Closest approach: 6.1×10⁻⁴
Top speed: 46.61
Path length: 297.56
Alignments per period: 162
Topology: aabAbaBABaBAbabABabABabABabABabABabAAbaBBaaBAbbAABabAbabABabABabABaaBAbaBAbaBAbaBAbaBAbaBABabABabABabAAbbAB (free-group class)
Stability: unstable (|λ|max 587.3)
Loop closure: 6.6×10⁻²⁵

Neighbours on the map

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