As a moon follows its orbit around a planet, the maximum gravitational force exerted on the moon by the planet exceeds the minimum gravitational force by 28.2 %. Find the ratio rmax/rmin, where rmax is the moon's maximum distance from the center of the planet and rmin is the minimum distance.

Answer 1

max gravitational force=1.282 x min gravitational force. therefore, rmax^2/rmin^2=1.282
square root both sides