The Earth is 149.6 billion meters from the sun, and the moon is 384.4 million meters from the Earth, on average. The mass of Earth is 5.97 × 10^24 kg, the mass of the sun is 1.99×1030 kg, and the mass of the moon is 7.35x10^22 kg. Newton's gravitational constantis 6.67 × 10^–11. There are certain points near the Earth where the gravitational forces on an object caused by the Earth, moon, and Sun all add up to zero. A satellite placed at such a position would be stationary with respect to the Earth, and would require very little fuel to remain in that position. Find one of these positions with an explanation.

The Earth is 149.6 billion meters from the sun, and the moon is 384.4 million meters from the Earth, on average. The mass of Earth is 5.97 × 10^24 kg, the mass of the sun is 1.99×1030 kg, and the mass of the moon is 7.35x10^22 kg. Newton's gravitational constantis 6.67 × 10^–11. There are certain points near the Earth where the gravitational forces on an object caused by the Earth, moon, and Sun all add up to zero. A satellite placed at such a position would be stationary with respect to the Earth, and would require very little fuel to remain in that position. Find one of these positions with an explanation.