How does the effective zone of stability for an Earth-like planet in a cluster core compare to the stability in our Solar System?

Answer

The effective zone of stability is shrunk down to a very tight inner region due to increased destabilizing encounters.

For every AU of potentially habitable space in a cluster core, there is a vastly increased probability of a gravitational encounter destabilizing that orbit, effectively limiting the region where a planet can remain stably bound.

How does the effective zone of stability for an Earth-like planet in a cluster core compare to the stability in our Solar System?
astronomyplanetsstarsexoplanetsstar formationastrophysicsstellar dynamicsglobular clustersGlobular cluster