This pattern is one of about 10750. You won't see it again.
Each time you add a mass, every mass in the chain gets a fresh random angle and velocity. Across the session that's 48 numbers, each with ~52 bits of precision (~4.5 × 1015 possibilities each).
(4.5 × 1015)48 ≈ 10750 possible patterns
The physics is deterministic, so the same 48 numbers would reproduce this motion exactly. But there are more combinations than atoms in the observable universe, many times over.