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Two answers:

Answer #1:

How do you know that it doesn't ?

Answer #2:

Because that's the way gravity works. If you take Newton's simple formula for

the force of gravity, and you have enough geometry and calculus to work with,

you can massage the gravity formula around and discover many facts about

orbits, including these:

-- Every closed orbit is an ellipse.

-- The period of a closed orbit only depends on the dimensions of the ellipse,

not on the mass of the minor body.

(Lucky for an astronaut in the middle of a "space walk" ... it means he can stay in

the same earth-orbit as the Space Shuttle even when he's not holding on to it.)

-- If the orbit isn't circular and the distance between the two bodies changes during

the orbit, then the speed of the minor body is greatest when they're closest together,

and lowest when they're farthest apart.

-- Every open orbit is a hyperbola.

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Q: Why doesn't the force of gravity change t he speed of a satellite in a circluar orbit?
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