Open question: What is the Maximum Chain Length of Orbiting Bodies?

In the macrocosmos, let's consider an astronomical body ($A_{1})$, around which orbits another astronomical body ($A_{2})$, and around ($A_{2})$ orbits another astronomical body ($A_{3})$, and again around ($A_{3})$ orbits another astronomical body ($A_{4})$, and so on. Let's call such astronomical bodies ($A_{1}, A_{2}, A_{3}, A_{4})$, as a chain of orbiting bodies. At level three ($A_{1}, A_{2}, A_{3})$ we know: Sun, Earth, and Moon. What is the maximum chain length of such astronomical bodies that has been discovered in the universe, $A_{1}, A_{2}, A_{3}, ..., A_{n} ( n = ? ),$ and what might be the hypothetical largest chain length of orbiting bodies in the macrocosmos ? Similar questions in the microcosmos. Then the questions extended to the macrocosmos-microcosmos put together.