*A Formulation of the Gravitational Equation of Motion*

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Scientific Paper | |
---|---|

Title | A Formulation of the Gravitational Equation of Motion |

Read in full | Link to paper |

Author(s) | T Chang |

Keywords | principle of equivalence, inertial forces, gravitational field |

Published | 1994 |

Journal | Apeiron |

Volume | 1 |

Number | 20 |

No. of pages | 3 |

Pages | 32-35 |

**Read the full paper** here

## Abstract

According to Einstein's principle of equivalence, inertial forces in an accelerated reference system are equivalent to the existence of a gravitational field. In order to formulate the gravitational force as well as inertial forces in explicit form, we introduce two conditions into the 4-D line element and transformations. As a consequence, the equation of motion for gravitational force or inertial force has a form similar to the equation of Lorentz force on a charge in electrodynamics. The inertial forces in non-inertial systems are calculated for two special cases: a uniformly accelerated system, and a uniformly rotating system.