There are a few ways to determine the ground track period of a Low Earth Orbit (LEO) satellite. The most common way is to use Kepler's Third Law of Planetary Motion, which states that the square of a satellite's orbital period is proportional to the cube of its semi-major axis. You can use this equation to solve for the satellite's period if you know the satellite's semi-major axis.
Another way to determine the ground track period is to use the satellite's angular velocity. LEO satellites have a relatively low angular velocity, meaning they take a long time to complete one full rotation. You can use the satellite's angular velocity to calculate the time it takes to complete one full rotation, and this will give you the ground track period.
Finally, you can also use the satellite's orbital period to calculate the ground track period. The orbital period is the time it takes the satellite to complete one orbit around Earth. To calculate the ground track period, you need to know the satellite's inclination. The inclination is the angle between the satellite's orbital plane and Earth's equatorial plane. If the satellite has a low inclination, then the ground track period will be close to the orbital period. If the satellite has a high inclination, then the ground track period will be longer than the orbital period.
You can use any of these methods to determine the ground track period of a LEO satellite.