Enter the mass of the central object and the satellite density into the calculator to determine the Roche limit.

## Roche Limit Formula

The following equation is used to calculate a Roche limit.

R = [ (100*M) / (9*pi*p) ] ^ 1/3

- Where R is the Roch limit also know as the radius
- M is the mass of the central object
- p is the density of the satellite

## Roche Limit Definition

The Roche Limit is defined as the distance from the center of an object at which orbiting objects would form rings around that body.

## Roche Limit Example

How to calculate the Roche Limit?

**First, determine the mass of the central object.**Calculate the mass of the larger object.

**Next, determine the density of the satellite.**Calculate the density of the orbiting object.

**Finally, calculate the Roche Limit**Calculate the Roche Limit using the formula above.

## FAQ

**What is the Roche limit?**

The Roche limit is the distance at which an orbiting object or satellite will form rings around a larger body. This is also known as the point at which an object will be captured.

**How is the Roche limit calculated?**

The limit depends only on the mass of the central object and the density of the satellite.

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