The gravitational force between two objects is described by Newton's law of universal gravitation. According to this law, the gravitational force (F) acting between two objects is directly proportional to the product of their masses (m1 and m2) and inversely proportional to the square of the distance (r) between their centers.
The formula for the gravitational force (F) is given by:
F = G * (m1 * m2) / r^2
Where: F is the gravitational force G is the gravitational constant (approximately 6.67430 × 10^(-11) N(m/kg)^2) m1 and m2 are the masses of the two objects r is the distance between their centers
This formula shows that as the masses of the objects increase, the gravitational force between them also increases. Similarly, as the distance between their centers increases, the gravitational force decreases.
It's important to note that this formula assumes point masses (objects with negligible size compared to the distance between them) and is valid for objects that are not moving at relativistic speeds. For more complex scenarios, such as those involving extended objects or high speeds, additional considerations and modifications to the formula may be necessary.