The acceleration on an object due to the gravity of any massive body is represented by g (small g). The force of attraction between any two unit masses separated by unit distance is called universal gravitational constant denoted by G (capital G). The relation between G and g is not proportional. That means they are independent entities.
In physics, G and g can be related mathematically as –
g = GM/R2
Where,
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g is the acceleration due to the gravity of any massive body measured in m/s2.
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G is the universal gravitational constant measured in Nm2/kg2.
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R is the radius of the massive body measured in km.
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M is the mass of the massive body measured in Kg
G and g relation
Although there exists a formula to express the relation between g and G in physics, there is no correlation between acceleration due to gravity and universal gravitation constant, as the value of G is constant. The value of G is constant at any point in this universe. G and g are not dependent on each other.
