Geodesic Deviation Equation
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High Quality Content by WIKIPEDIA articles! In general relativity, the geodesic deviation equation is an equation involving the Riemann curvature tensor, which measures the change in separation of neighbouring geodesics or, equivalently, the tidal force experienced by a rigid body moving along a geodesic. In the language of mechanics it measures the rate of relative acceleration of two particles moving forward on neighbouring geodesics. In differential geometry, the geodesic deviation equation is more commonly known as the Jacobi equation. Let T a be the tangent vector to a given geodesic ,…mehr

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High Quality Content by WIKIPEDIA articles! In general relativity, the geodesic deviation equation is an equation involving the Riemann curvature tensor, which measures the change in separation of neighbouring geodesics or, equivalently, the tidal force experienced by a rigid body moving along a geodesic. In the language of mechanics it measures the rate of relative acceleration of two particles moving forward on neighbouring geodesics. In differential geometry, the geodesic deviation equation is more commonly known as the Jacobi equation. Let T a be the tangent vector to a given geodesic , and X a a vector field along connecting it to an infinitesimally near geodesic (the deviation vector).