The forces of attraction between the sun and each planet are
gravitational forces, and they're both centripetal forces.
Centripetal forces are those that pull objects towards the center, like gravity keeping planets in orbit around the sun. Centrifugal forces, on the other hand, push objects away from the center, like the force that makes water spin off a spinning merry-go-round.
The momentum of the planets (centrifugal force) revolving around the sun is in a constant battle with the gravity of the sun which is trying to attract it (centripetal force). The centrifugal force wants to take off into space in a straight line, but the sun keeps dragging it back. It's a battle between the centrifugal force trying to escape VS the sun's gravity. Over the last 'jillion' years or so, the planets have reached an equilibrium of the forces. SO the planet just keep revolving away.
Centrifugal force doesn't exist, and there is no outward force acting on planets. The only force on them is the 'centripetal' one ... the gravitational force between each planet and the sun, that attracts the planet in the direction toward the sun. That's the only force required to keep a planet in orbit ... which is lucky, because it's the only force there is.
Centrifugal forces at present do not exist in nature. However, the opposite of centrifugal forces, centripetal forces, do exist. Centrifugal forces are used only to explain that centripetal forces need an opposite force to act against it.
The gravitational force between planets supplies the centripetal force that causes them to orbit each other.
By definition, a centripetal force is a force towards a central point, exerted on an object following a curved path. It causes an object to follow a curved path, such as an orbit; this is what the gravitational force of the sun does to planets. So it is clearly a centripetal force. A centrifugal force is defined as a force that is exerted away from a center around which an object either rotates or revolves. Literally, in terms of etymology, centrifugal means fleeing the center. Planets orbit the sun because of a balance of centripetal and centrifugal forces. If there were only an attractive force pulling a planet toward the sun, the planet would fall into the sun. And if there were only a centrifugal force pulling planets away from the sun, the planets would fly out of the solar system and into interstellar space. But since these two forces are balanced, planets remain in orbit around the sun. An object on which the forces are balanced travels in a straight line at constant speed. The planets do not travel in straight lines or at constant speeds, because the forces on them are not balanced. The only force on a planet is the centripetal force of gravitational attraction between it and the sun. That single force produces all of the orbits we observe, whether elliptical (repeating) or hyperbolic (not repeating). Those orbits are fairly easy to derive using Newton's formula for gravitational force and direction, plus some geometry and some calculus. Non-furious comments: I avoid writing "centrifugal force", by writing "centrifugal effect". I think that's more or less OK, depending on your "audience". Technically "centrifugal force" is called a "fictitious force". It is actually correct to use it in a rotating frame of reference. Unfortunately, it is often used incorrectly, even by educators. Luckily, the answer to the question was "centripetal force". <<>> The physical processes are that there is a force of gravity pulling the Sun and Earth towards each other. The force acts equally both ways, producing an acceleration in both objects, towards each other, following Netwon's second law: force equals mass times acceleration. The Sun's much greater mass means that its acceleration is small, while the Earth's acceleration towards the Sun keeps it in its elliptical orbit. That is what's happening, so for those who can't remember the difference between centrifugal and centripetal, don't worry, they are not terms used by astronomers.
Centripetal force, which keeps planets in orbit around the sun, does not require physical supplies but rather results from the gravitational attraction between the sun and the planets. This force is generated by the mass of the sun and the planets, along with their velocities. The balance between gravitational pull (centripetal force) and the planets' inertia allows them to maintain stable orbits. Essentially, the energy and mass of celestial bodies are the "supplies" that facilitate this gravitational interaction.
-- If all the forces on a planet were balanced, then the planet would move in a straight line with constant speed, not in a curved path. So the forces on it must be unbalanced. -- That's easy to understand when you consider that there's only one force on the planet ... the force of gravity that attracts it toward the sun. That force is a centripetal one.
Centripetal force is the inward force required to keep an object moving in a circular path, and for planets, this force is primarily provided by gravity. As planets orbit a star, such as the Sun, the gravitational attraction acts as the centripetal force, pulling them towards the star while their orbital velocity keeps them in motion. This balance between gravitational pull and orbital speed allows planets to maintain stable orbits. Thus, centripetal force is essential for the dynamics of planetary motion in a solar system.
Gravity is an attraction of masses to each other. The mass of the Sun is very great and it pulls on all the planets. If there were nothing to stop this attraction the planets would be pulled into the Sun. But, just like whirling a ball around your head with a string and the ball stays out at the end of the string the planets whirling (well, rotating) around the Sun keeps them from falling into the Sun. The pull (attraction) of the Sun is like the string. This pull is called the centripetal force. If you cut the string the ball would fly off. The rotation of the planets makes them want to fly off too. This urge to fly off is called the centrifugal force. When the centripetal force equals the centrifugal force the planet is in a stable orbit.
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.
The centripetal force and the centrifugal force in balance. Both these forces are related to Gravitational Energy E=- GmM/r + mcV =-mu/r + mcV. The centripetal forces is mv^2/r and the centrifugal force is Del .mcV = -mcv/r cos(x). The orbit forces are 0= dmcV/dr + DelxmcV - Del mu/r.