Gravitational Field of Thin Circular Disc Calculator

Calculate Gravitational Field







Formula

The formula to calculate the Gravitational Field of Thin Circular Disc (Idisc) is:

\[ Idisc = -\frac{2 \cdot [G.] \cdot m \cdot (1 - \cos(\theta))}{rc^2} \]

Definition

The Gravitational Field of Thin Circular Disc is the gravitational force experienced by a point mass due to a disc of uniform mass distribution. Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it. Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint. Distance between Centers is defined as the distance between the centers of the attracting body and the body being drawn.

Example Calculation

Let's assume the following values:

Using the formula:

\[ Idisc = -\frac{2 \cdot 6.67408E-11 \cdot 33 \cdot (1 - \cos(1.50796447372282))}{384000^2} \approx -2.79968756280913E-20 \]

The Gravitational Field of Thin Circular Disc is approximately -2.79968756280913E-20 Newton per Kilogram.

Conversion Chart

Mass (Kilogram) Theta (Radian) Distance (Meter) Gravitational Field (Newton per Kilogram)
30 1.5079644737228 384000 0.000000000000000
31 1.5079644737228 384000 0.000000000000000
32 1.5079644737228 384000 0.000000000000000
33 1.5079644737228 384000 0.000000000000000
34 1.5079644737228 384000 0.000000000000000
35 1.5079644737228 384000 0.000000000000000