What force controls the movement of the planets around the sun, holds together stars grouped in galaxies, and galaxies grouped in clusters?

Gravity.

Explanation:

The force that controls the movement of the planets around the sun, holds together stars grouped in galaxies, and galaxies grouped in clusters is called gravity.

This ultimately implies that, gravity is considered to be a universal force of attraction that acts between all objects that has both mass, energy and occupy space. Therefore, it acts in such a way as to bring objects together.

Additionally, the gravity of earth makes it possible for all physical objects to possess weight.

Weight can be defined as the force acting on a body or an object as a result of gravity.

Mathematically, weight is given by the formula;

Where;

m is the mass of an object.

g is acceleration due to gravity.