The relationship between a satellite's orbital radius and its period is governed by Kepler's Third Law of Planetary Motion. Specifically, if the orbital period is increased to 8T, the new orbital radius must be 4R. This conclusion is derived from the formula T² ∝ R³, which indicates that the square of the period is proportional to the cube of the orbital radius. Therefore, to achieve an increase in period, the orbital radius must be adjusted accordingly.
PREREQUISITESStudents studying physics, particularly those focusing on orbital mechanics, as well as educators and anyone interested in the mathematical relationships governing satellite motion.