Atlas1,810 of 3,915

II.C.120

m₃ = 0.75

From Li & Liao (2017)

II.C.120 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 130.44 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 31.7), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000143 of each other at a top speed of 89.3, line up 176 times a period, and the computed loop closes to 6.0×10⁻²⁴.

Measured over one period

Period: 130.4398908
Masses: 1 : 1 : 0.75
Energy: -1.33582
Angular momentum: 0
Closest approach: 1.4×10⁻⁴
Top speed: 89.34
Path length: 335.36
Alignments per period: 176
Stability: unstable (|λ|max 31.70)
Loop closure: 6.0×10⁻²⁴

Neighbours on the map

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