To calculate the orbital radius of an object around Earth using its mass and orbital period, relevant equations can be found on educational websites. The discussion also touches on the relationship between kinetic and potential energy when an object reaches its maximum height after leaving the ground, noting that kinetic energy becomes zero at that point. At maximum height, the potential energy equals the initial kinetic energy, but it is expressed as negative in the gravitational potential energy formula. The conversation also explores the dynamics of objects in orbit, questioning whether they experience acceleration and how to calculate potential energy in that context. Understanding these principles is essential for accurately determining orbital mechanics and energy transformations.