Atlas1,899 of 3,915

II.C.94

m₃ = 0.75

From Li & Liao (2017)

II.C.94 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 104.7 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 59.36), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000466 of each other at a top speed of 49.5, line up 138 times a period, and the computed loop closes to 5.2×10⁻²⁵.

Measured over one period

Period: 104.7040539
Masses: 1 : 1 : 0.75
Energy: -1.29131
Angular momentum: 0
Closest approach: 4.7×10⁻⁴
Top speed: 49.54
Path length: 253.36
Alignments per period: 138
Stability: unstable (|λ|max 59.36)
Loop closure: 5.2×10⁻²⁵

Neighbours on the map

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