Inertia is the force that causes planets to move in a straight line. The gravity of a more massive body, such as the sun, causes them to fall into orbit instead of continuing in a straight line.
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The simple answer is "gravity", but there's a bit more to it than that.
There are two types of forces needed to keep the planets in constant revolution around the Sun. They are Centripetal forces and Centrifugal forces.
Gravity provides the necessary centripetal force.
The centrifugal force keeps the planets from falling into the Sun because of the Sun's gravitational attraction.
"Centrifugal force" is technically called a "fictitious force". Sometimes it's referred to as the centrifugal effect.Basically it is caused by the inertia of the planets.
The planets move in orbits that are nearly circular but not quite. They are ellipses with small eccentricity, so the orbits look like circles but with the Sun off-centre by a different amount for each planet (2.4 million kilometres for the Earth). The planets are kept in their orbits by the force of gravity from the Sun, which is very massive (330,000 times the mass of the Earth).
The planets stay moving because there is nothing to stop them, but the force of gravity between planet and Sun keeps it in an elliptical orbit at a nearly constant distance from the Sun.
The gravitational force from the Sun keeps planets in orbit around it. Additionally, the forward motion of the planets balances the pull of gravity, preventing them from falling into the Sun.
Isaac Newton concluded that the force of gravity and the forward motion of the planets combined to keep them in orbit around the Sun. The force of gravity pulls the planets towards the Sun, while the forward motion of the planets creates the centrifugal force that counteracts gravity, leading to stable orbits.
The question probably means "What keeps the planets in orbit around the Sun?" The answer to that is : The Sun's gravitational attraction provides the force needed to keep the planets in orbit. This force doesn't pull the planets any closer to the Sun, but it stops the planets moving away (at a tangent to their orbits) due to their own velocities.
The planets continue on their orbits due to a balance between the gravitational force pulling them toward the sun and their velocity providing the necessary centripetal force to keep them in motion. This balance creates a stable orbit as the planets move around the sun.
The gravitational force produced by the sun keeps the planets in orbit around it. This force pulls the planets toward the sun, creating a continuous circular motion rather than a straight line out into space.