# Gravitational Potential (spherical symmetry)

## Description

Within a uniform spherical body of radius R and density ρ the gravitational force g inside the sphere varies linearly with distance r from the center, giving the gravitational potential inside the sphere. (r ≤ R)

Related formulas## Variables

Vr | Potential spherical symmetry (J/kg) |

π | pi |

G | Newtonian constant of gravitation |

ρ | Density (kg/m^{3}) |

r | Distance from the center (m) |

R | Radius of the sphere (m) |