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  2. Centripetal force - Wikipedia

    en.wikipedia.org/wiki/Centripetal_force

    A centripetal force (from Latin centrum, "center" and petere, "to seek" [1]) is a force that makes a body follow a curved path.The direction of the centripetal force is always orthogonal to the motion of the body and towards the fixed point of the instantaneous center of curvature of the path.

  3. Circular motion - Wikipedia

    en.wikipedia.org/wiki/Circular_motion

    The normal force is actually the sum of the radial and tangential forces. The component of weight force is responsible for the tangential force (when we neglect friction). The centripetal force is due to the change in the direction of velocity. The normal force and weight may also point in the same direction.

  4. Circular orbit - Wikipedia

    en.wikipedia.org/wiki/Circular_orbit

    Here the centripetal force is the gravitational force, ... The formula is dimensionless ... (7.5% of the orbital period in a circular orbit) The fact that the ...

  5. Kepler's laws of planetary motion - Wikipedia

    en.wikipedia.org/wiki/Kepler's_laws_of_planetary...

    The force acting on a planet is directly proportional to the mass of the planet and is inversely proportional to the square of its distance from the Sun. The Sun plays an unsymmetrical part, which is unjustified. So he assumed, in Newton's law of universal gravitation: All bodies in the Solar System attract one another.

  6. Newton's theorem of revolving orbits - Wikipedia

    en.wikipedia.org/wiki/Newton's_theorem_of...

    Newton illustrates his formula with three examples. In the first two, the central force is a power law, F(r) = r n−3, so C(r) is proportional to r n. The formula above indicates that the angular motion is multiplied by a factor k = 1/ √ n, so that the apsidal angle α equals 180°/ √ n.

  7. Bertrand's theorem - Wikipedia

    en.wikipedia.org/wiki/Bertrand's_theorem

    The only requirement is that the central force exactly equals the centripetal force, which determines the required angular velocity for a given circular radius. Non-central forces (i.e., those that depend on the angular variables as well as the radius) are ignored here, since they do not produce circular orbits in general.

  8. Animal lover beaten to death on Christmas Eve while trying to ...

    www.aol.com/news/animal-lover-beaten-death-pipe...

    Madison Heights Police Lt. David Koehler said Cavanaugh was found unresponsive and bleeding at the scene at around 7:40 p.m., with investigators saying he died due to blunt force trauma.

  9. Equations for a falling body - Wikipedia

    en.wikipedia.org/wiki/Equations_for_a_falling_body

    Centripetal force causes the acceleration measured on the rotating surface of the Earth to differ from the acceleration that is measured for a free-falling body: the apparent acceleration in the rotating frame of reference is the total gravity vector minus a small vector toward the north–south axis of the Earth, corresponding to staying ...