How does the law of universal gravitation apply to planet motion around the Sun?

Using the Earth as an example, we can observe that as the Earth moves at a high speed (about 30 km/s) perpendicular to the force of gravity, it creates a force that is directed between the Sun and the Earth's path (let's use 30 degrees as an example). As a result, the Earth moves at a 30 degree angle around the Sun at all points, forming a circle with radius r (r=93 million miles).

The law of universal gravitation, formulated by Sir Isaac Newton, states that every particle in the universe attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. In the context of planet motion around the Sun, the law of universal gravitation explains how the Sun's gravitational force attracts planets and keeps them in orbit. The gravitational force exerted by the Sun pulls the planets towards it, while the inertia of the planets keeps them moving in a curved path, resulting in a stable orbit around the Sun. The magnitude of the gravitational force between the Sun and a planet depends on the masses of both the Sun and the planet, as well as the distance between them, as described by the equation F = G * (m1 * m2) / r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers.