  This study explores the gravitational interaction between Pluto and its moon
Charon, which has led to their synchronous orbit, where they consistently show
the same face to each other. This process is known as tidal evolution, which
explains how the gravitational pull between two celestial bodies can adjust
their spinning speeds until they match their orbital speed. By simulating
various initial conditions, we aim to understand the specific paths Pluto and
Charon might have taken to reach their current stage. We observe that the tilt
of their orbits has a negligible long-term effect, typically stabilizing
quickly. In our analysis, we examine a scenario when the orbital size initially
increases, leading to an increased orbit and a high eccentricity, a phenomenon
attributed to the dissipation of tidal energy.
