Atlas1,661 of 3,915

II.C.84

m₃ = 0.5

From Li & Liao (2017)

II.C.84 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 61.701 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 114), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000585 of each other at a top speed of 47.9, line up 112 times a period, and the computed loop closes to 4.0×10⁻²⁵.

Measured over one period

Period: 61.70138541
Masses: 1 : 1 : 0.5
Energy: -1.31277
Angular momentum: 0
Closest approach: 5.8×10⁻⁴
Top speed: 47.85
Path length: 174.94
Alignments per period: 112
Stability: unstable (|λ|max 114.0)
Loop closure: 4.0×10⁻²⁵

Neighbours on the map

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