Question

What is the Sun's gravitational pull strength?

Answer 1

The strength of the Sun's gravitational field depends on the distance from the Sun.

Explanation:

The Sun, and any other body, has a gravitational field. This field causes any other body to accelerate. Newton described this with his inverse square law and his second law force `F` equals mass `m` times acceleration `a`.

`F=ma=(GMm)/r^2`

`a=(GM)/r^2`

This says that the acceleration `a` due to gravity is independent of the mass of the body `m` under gravity. Where `GM = 132,712` is the gravitational constant multiplied by the mass of the Sun and `r` is the distance from the Sun.

General Relativity (GR) redefines gravity. It is not a force, it is a consequence of space time being curved by mass, energy and momentum. For relatively small masses, which includes the Sun, and low speeds GR reduces to Newton's laws.

Everything in a gravitational field experiences an acceleration towards the centre of the body causing the gravitational field. Everything follows a geodesic, which is the 4 dimensional equivalent of a straight line in curved space time.

So, the Sun doesn't exert a pull strength, it simply bends space time because of its mass and motion.