Foundational Physics
Short Answer: In an ideal circular orbit, gravity pulls the satellite toward Earth’s center, but the satellite moves sideways along the circle. The pull stays perpendicular to the direction of motion. That means gravity changes the satellite’s direction without changing its speed, so gravity does no work on it.
Sensei’s Warning
Zero work does not mean zero gravity. Gravity supplies the inward force that keeps the satellite on its circular path. It simply does not transfer energy into or out of the satellite’s motion along that path.
If Gravity Is Pulling, Why Doesn’t the Satellite Speed Up?
Think of a satellite circling Earth. At every moment, gravity pulls inward, toward the center of the planet. But the satellite is moving along the curve, in a direction tangent to its orbit.
That makes gravity a sideways force relative to the satellite’s motion. It can turn the velocity vector, but it cannot increase or decrease the speed while the force stays exactly perpendicular to the motion.
So the satellite really is accelerating—it is continuously changing direction. Its kinetic energy stays the same because its speed stays the same.
Does Gravity Do Zero Work Only After One Complete Orbit?
No. It does zero work at every moment of an ideal circular orbit.
Work measures how much energy a force transfers as an object moves. For a tiny part of the satellite’s path, its displacement points along the orbit while gravity points toward Earth’s center. Those directions are perpendicular.
Because gravity has no component along that tiny displacement, it does zero work during that part of the motion. The same is true at every point around the circle. Add those parts together, and gravity’s total work is still zero.
Then What Keeps the Satellite Moving?
The satellite already has sideways speed. It does not need a continuing push along its path to keep moving in the ideal situation.
Without gravity, it would move in a straight line. Gravity continuously bends its path into a circle. The inward pull changes where it is going, not how fast it is going.
This is why saying “gravity does no work” is very different from saying “gravity does nothing.”
What Changes in an Elliptical Orbit?
An elliptical orbit is different because the satellite moves closer to Earth during part of the trip and farther away during another part.
When the satellite moves inward, gravity has a component along its motion and does positive work. The satellite gains kinetic energy and speeds up.
When it moves outward, gravity has a component opposite its motion and does negative work. The satellite loses kinetic energy and slows down.
Over one complete ideal elliptical orbit, gravity’s net work is zero: the positive and negative contributions balance as the satellite returns to the same position and speed. But unlike a circular orbit, gravity does not do zero work at every moment.
The Key Idea to Remember
Circular orbit: gravity turns the satellite without changing its speed, so its work is zero at every moment. Elliptical orbit: gravity can speed it up or slow it down, but its net work over a complete ideal orbit is zero.
When This Breaks
The circular-orbit explanation assumes gravity is the only significant force and the orbit is truly circular. Atmospheric drag, an engine firing, or another force can change the satellite’s speed and energy. A real satellite may also have a slightly noncircular orbit, where gravity can do positive or negative work during parts of the path.
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