A satellite orbiting Earth at an orbital radius r has a velocity v. Which represents the velocity if the satellite is moved to an orbital radius of 4r ? (1 point) 1/4 * v; 1/2 * v ○ 20 O A_{n}A satellite orbiting Earth at an orbital radius r has a velocity v. Which represents the velocity if the satellite is moved to an orbital radius of 4r ? (1 point) 1/4 * v; 1/2 * v ○ 20 O A_{n}

Answer 1

The correct answer is 1/2 * v.
According to Kepler's third law of planetary motion, the square of the orbital period of a satellite is proportional to the cube of its orbital radius. When the orbital radius is increased to 4r, the orbital period also increases. However, the speed of the satellite remains constant at v, which means that the velocity is inversely proportional to the orbital period. Therefore, if the orbital radius is increased to 4r, the velocity of the satellite will be 1/2 * v.