Convergence-radius conjecture for STARLINK temporal visibility graphs

Let $n$ be the number of nodes, and let a sub-TVG be a randomly sampled sub-temporal visibility graph of the STARLINK satellite system. Let $r$ denote the convergence radius of its Kleene star, meaning the radius at which the Kleene-star sequence converges. Convergence-radius conjecture. With high probability as $n\to\infty$, a randomly sampled sub-TVG of STARLINK has a Kleene star that converges for $r\leq 5$ (weak version), and with high probability it has a Kleene star that converges at $r=3$ (strong version). The conjecture concerns the asymptotic behavior of the Kleene star for increasingly large STARLINK systems; simulations suggest convergence radii below $7$, while geometric considerations indicate the limiting value should be $3$.