Yes, gravity does increase as the distance from the Earth to the Sun decreases. This relationship is described by Newton’s law of universal gravitation, which states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. In equation form, it is often written as:

F=G⋅(m1⋅m2)​/r2

Where:

• F is the gravitational force between the two objects.
• G is the gravitational constant, a universal constant.
• m1 and 2m2 are the masses of the two objects (in this case, the Earth and the Sun).
• r is the distance between the centers of the two objects.

As r (the distance between the Earth and the Sun) decreases, the gravitational force (F) increases. In the case of the Earth and the Sun, as the Earth moves closer to the Sun in its elliptical orbit, it experiences a stronger gravitational pull from the Sun, which is responsible for the Earth’s orbital motion around the Sun. Conversely, as the Earth moves farther away from the Sun in its orbit, the gravitational force weakens, and the Earth’s orbital speed decreases.

This relationship is fundamental to understanding the dynamics of planetary orbits in our solar system and the motion of objects under the influence of gravity.