Gravitational Potential of Ring Calculator

Calculate Gravitational Potential of Ring







Formula

The formula to calculate the Gravitational Potential of Ring (Vring) is:

\[ V_{ring} = -\frac{G \cdot m}{\sqrt{r_{ring}^2 + a^2}} \]

Definition

Gravitational Potential of Ring is defined as the amount of work done by an external agent in bringing a body of unit mass from infinity to that point without changing its kinetic energy. It is measured in Joule per Kilogram.

Example Calculation

Let's assume the following values:

Using the formula:

\[ V_{ring} = -\frac{6.67408E-11 \cdot 33}{\sqrt{600^2 + 2500^2}} \approx -8.56652365061081E-13 \]

The Gravitational Potential of Ring is approximately -8.56652365061081E-13 Joule per Kilogram.

Conversion Chart

Mass (Kilogram) Gravitational Potential (Joule per Kilogram)
30 -0.000000000000779
31 -0.000000000000805
32 -0.000000000000831
33 -0.000000000000857
34 -0.000000000000883
35 -0.000000000000909
36 -0.000000000000935
37 -0.000000000000960
38 -0.000000000000986
39 -0.000000000001012
40 -0.000000000001038