# Gravitational Field

Gravitational field of a body is the space around it within which its gravitational force of attraction is perceptible.
**Strength of Gravitational Field (Gravitational intensity):**
Gravitational intensity at a point in the field due to a body is the force experienced by a unit mass placed at that point. It is denoted by ‘E’. It is a vector quantity.
Expressing in algebraic symbols,
\(E = \frac{F}{m}\), F being the force experienced by the mass ‘m’ in the gravitational field.
But \(F = -G\frac{Mm}{r^2}\)(here, ‘-’ sign indicates that gravitational force is an attractive force.)
\(\therefore E = -\frac{\frac{GMm}{r^2}}{m}\)
\(\implies E = -\frac{GM}{r^2}\)

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