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The Sun's gravitational force controls all the orbits of planets and other objects that orbit the Sun (dwarf planets, asteroids, comets, meteors).

An object without a force acting on it travels in a straight line, But the Sun's gravity causes each object to accelerate towards the Sun, as described by Newton's second law: force = mass x acceleration.
The acceleration causes any fast-moving object to curve towards the Sun, as Newton discovered using calculus. This is a permanent process with the object in a stable orbit unless disturbed by a collision of some sort.

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