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Gravity causes satellites to orbit the Earth. The satellite moves laterally relative to the Earth while the Earth's gravity pulls it down toward the Earth, resulting in a system where the satellite remains at the same distance from the Earth.

It is simplest to understand gravitational orbit if from the standpoint of a fixed system with a spherical Earth at the center and the satellite directly above it. Drawing an imaginary line through the Earth and the satellite (call this the vertical center line) and another imaginary line through the Earth perpendicular to (i.e. at a 90-degree angle to) the vertical center line.

Initially, gravity is pulling directly down, toward the center of the Earth, and the satellite is moving perpendicular to this force -- for this argument, we'll say it's moving directly to the left. Now, as it moves to the left, away from the Earth laterally, the Earth's gravity pulls it downward.

In this next step, it is closer to the Earth vertically but further from the Earth laterally. The Earth's gravity, pulling toward itself, now pulls slightly laterally because the object is no longer directly above but now slightly to the left of our imaginary vertical center line. Thus, it begins to slow down, and the further it gets laterally from the Earth, the greater the portion of the Earth's gravitational force is dedicated to pulling to the right. This also means that the downward-pulling part of the Earth's gravity decreases as the object nears the horizontal center line.

After many of these steps, with the force of Earth's gravity pulling less and less strongly downward and more and more laterally, the satellite now stops moving laterally due to the force from gravity. However, the force from gravity has also accelerated the satellite downward, and now it's moving quite quickly downward -- downward, however, is no longer toward the Earth because the ball has moved quite a bit out to the left before being slowed to a stop laterally by the Earth's gravity.

If the satellite is in orbit, meaning that it has the correct initial speed for the distance from the Earth, then when the satellite is entirely stopped from moving to the left, it will be moving downward at the same speed as the initial speed to the left (when the satellite was on the vertical center line). At this point, the Earth is pulling the object directly toward itself, which is directly to the right. It is no longer pulling down at all. The object then begins to "fall" to the right. In the next instant, the object has begun to move to the right, but has fallen downward past the horizontal line, so Earth's gravity now pulls upward to bring the satellite closer to itself.

While it is easy to look at orbit from a fixed system with the satellite moving around the Earth, it's also true that because the Earth is roughly spherical, the system can be viewed the same way no matter where it is. When the satellite is directly to the left of the Earth in the previous explanation, the picture can be rotated to the right 90 degrees to see the exact same picture as when it started. At every position in the orbit around the Earth, the picture of the satellite can be rotated to the left or right to be the same as any other point on the orbit.

This ultimately means that the satellite always just stays at the same distance from the Earth moving at the same speed perpendicular to the Earth's gravity. The Earth pulls the satellite closer to itself, but the satellite is moving quickly enough that gravity just changes the direction of the satellite rather than the distance.

It can be easily proven mathematically that this particular argument works; however, math can be difficult to visualize physically and a proper argument requires some knowledge of calculus.

Note that there is no correct "speed" of orbit or distance from the Earth. Objects that are closer to the Earth fall more quickly and therefore require a higher speed perpendicular to Earth's gravity to remain in orbit. This occurs naturally, just as a ball on a string will spin more quickly if you pull harder on the string. Similarly, objects can orbit more slowly at greater distances.

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15y ago

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