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  2. Mathematics of general relativity - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_general...

    For any curve and two points = and = on this curve, an affine connection gives rise to a map of vectors in the tangent space at into vectors in the tangent space at : =,, and () can be computed component-wise by solving the differential equation = () = () where () is the vector tangent to the curve at the point ().

  3. Three-body problem - Wikipedia

    en.wikipedia.org/wiki/Three-body_problem

    The circular restricted three-body problem [clarification needed] is a valid approximation of elliptical orbits found in the Solar System, [citation needed] and this can be visualized as a combination of the potentials due to the gravity of the two primary bodies along with the centrifugal effect from their rotation (Coriolis effects are ...

  4. Artificial gravity - Wikipedia

    en.wikipedia.org/wiki/Artificial_gravity

    Vast Space is a private company that proposes to build the world's first artificial gravity space station using the rotating spacecraft concept. [23] A Mars gravity simulator could be built on the Moon to prepare for Mars missions. The surface gravity of Mars is somewhat more than twice that of the Moon.

  5. Gravitational time dilation - Wikipedia

    en.wikipedia.org/wiki/Gravitational_time_dilation

    Gravitational time dilation is a form of time dilation, an actual difference of elapsed time between two events, as measured by observers situated at varying distances from a gravitating mass.

  6. n-body problem - Wikipedia

    en.wikipedia.org/wiki/N-body_problem

    In physics, the n-body problem is the problem of predicting the individual motions of a group of celestial objects interacting with each other gravitationally. [1] Solving this problem has been motivated by the desire to understand the motions of the Sun, Moon, planets, and visible stars.

  7. General relativity - Wikipedia

    en.wikipedia.org/wiki/General_relativity

    This new class of preferred motions, too, defines a geometry of space and time—in mathematical terms, it is the geodesic motion associated with a specific connection which depends on the gradient of the gravitational potential. Space, in this construction, still has the ordinary Euclidean geometry. However, spacetime as a whole is more ...

  8. Gravity - Wikipedia

    en.wikipedia.org/wiki/Gravity

    In physics, gravity (from Latin gravitas 'weight' [1]) is a fundamental interaction primarily observed as a mutual attraction between all things that have mass.Gravity is, by far, the weakest of the four fundamental interactions, approximately 10 38 times weaker than the strong interaction, 10 36 times weaker than the electromagnetic force, and 10 29 times weaker than the weak interaction.

  9. Two-body problem in general relativity - Wikipedia

    en.wikipedia.org/wiki/Two-body_problem_in...

    General relativity describes the gravitational field by curved space-time; the field equations governing this curvature are nonlinear and therefore difficult to solve in a closed form. No exact solutions of the Kepler problem have been found, but an approximate solution has: the Schwarzschild solution.