What is the relation between gravitational intensity and gravitational potential at a point?

Explanation

To find the relation between gravitational intensity (also known as gravitational field strength) and gravitational potential at a point, we can follow these steps:

### Step 1: Define Gravitational Potential (V)
Gravitational potential (V) at a point in a gravitational field is defined as the work done per unit mass to bring a small test mass from infinity to that point. Mathematically, it is expressed as:
\[ V = -\int \vec{g} \cdot d\vec{r} \]
where \( \vec{g} \) is the gravitational field strength and \( d\vec{r} \) is the displacement vector.

### Step 2: Define Gravitational Intensity (g)
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