Planets and moons remain in their orbits because of the gravitational pull other bigger planets or stars have on them, for example the Earth stays in its orbit because of the gravitational force it is subjects to created by the Sun, and the moon stays in its orbit because of the gravitational force it is subject to created by the Earth. It's all about gravity and force.
Newton
The force of gravity between the planets and the sun is what keeps the planets in their orbits. Gravity pulls the planets towards the sun, but their forward velocity keeps them moving in a circular or elliptical path around it. This balance between gravity and velocity enables the planets to stay in their orbits around the sun.
Mars' moons, Phobos and Deimos, stay in their orbits around Mars due to a combination of Mars' gravitational pull and their initial velocity when they were captured by Mars' gravity. The gravitational force from Mars keeps them in orbit, preventing them from flying off into space.
Planets and their moons stay in orbit due to the balance between the gravitational pull of the planet and the moon's motion. This balance is governed by Newton's law of universal gravitation. As long as the gravitational force between the planet and its moon is strong enough to keep the moon in orbit, they will continue to move in a stable path.
The Earth, Moon and other planets stay in their orbits under the force of gravity, following Kepler's laws of planetary motion.
The forces of gravity between two masses are the cause of all orbits.
The gravity of the Sun keeps the planets in their orbits. They stay in their orbits because there is no other force in the Solar System which can stop them.
no
The forces of gravity and motion balance each other (almost perfectly) The planets do loose some energy so they are drifting very slowly inward towards the Sun but it will take so long to fall all the way that the Sun will probably swell and consume the inner planets before the loss of orbital energy will cause the planets to fall into our star. The moons and the planets stay in orbit because of gravitational pull.
Isaac Newton
Newton
Planets and their moons stay in orbit due to a balance between gravitational forces pulling them towards each other and the forward motion of the objects. This balance causes them to continuously fall towards each other but also keep moving sideways fast enough to not collide. This results in stable orbits around a common center of mass.
Sir Isaac Newton showed that all objects in the universe attract each other through gravitational force, in other words, he was the one that showed that planets and moons stay in orbit due to gravity :)
The force of gravity between the planets and the sun is what keeps the planets in their orbits. Gravity pulls the planets towards the sun, but their forward velocity keeps them moving in a circular or elliptical path around it. This balance between gravity and velocity enables the planets to stay in their orbits around the sun.
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The planets and other objects in the solar system stay in their orbits due to the mutual gravitational attraction between each orbiting object and the Sun.
because the planets' gravity pull them so that they do not go away and the moons revolve around them with a constant speed so they stay in their orbit