Atlas1,497 of 3,915

II.C.28

m₃ = 0.75

From Li & Liao (2017)

II.C.28 m₃ = 0.75 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.75 that return to their starting positions and velocities every 56.176 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 26.02), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00167 of each other at a top speed of 26.2, line up 58 times a period, and the computed loop closes to 6.2×10⁻²⁵.

Measured over one period

Period: 56.17610407
Masses: 1 : 1 : 0.75
Energy: -1.12311
Angular momentum: 0
Closest approach: 0.001665
Top speed: 26.19
Path length: 133.28
Alignments per period: 58
Stability: unstable (|λ|max 26.02)
Loop closure: 6.2×10⁻²⁵

Neighbours on the map

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