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  2. Barycenter (astronomy) - Wikipedia

    en.wikipedia.org/wiki/Barycenter_(astronomy)

    m 1 and m 2 are the masses of the two bodies. The semi-major axis of the secondary's orbit, r 2, is given by r 2 = a − r 1. When the barycenter is located within the more massive body, that body will appear to "wobble" rather than to follow a discernible orbit.

  3. Barycentric coordinate system - Wikipedia

    en.wikipedia.org/wiki/Barycentric_coordinate_system

    A 3-simplex, with barycentric subdivisions of 1-faces (edges) 2-faces (triangles) and 3-faces (body). In geometry, a barycentric coordinate system is a coordinate system in which the location of a point is specified by reference to a simplex (a triangle for points in a plane, a tetrahedron for points in three-dimensional space, etc.).

  4. Center of mass - Wikipedia

    en.wikipedia.org/wiki/Center_of_mass

    Let the percentage of the total mass divided between these two particles vary from 100% P 1 and 0% P 2 through 50% P 1 and 50% P 2 to 0% P 1 and 100% P 2, then the center of mass R moves along the line from P 1 to P 2. The percentages of mass at each point can be viewed as projective coordinates of the point R on this line, and are termed ...

  5. Barycentric - Wikipedia

    en.wikipedia.org/wiki/Barycentric

    Barycenter or barycentre, the center of mass of two or more bodies that orbit each other; Barycentric coordinates, coordinates defined by the common center of mass of two or more bodies (see Barycenter) Barycentric Coordinate Time, a coordinate time standard in the Solar system; Barycentric Dynamical Time, a former time standard in the Solar System

  6. Gell-Mann–Nishijima formula - Wikipedia

    en.wikipedia.org/wiki/Gell-Mann–Nishijima_formula

    It was originally given by Kazuhiko Nishijima and Tadao Nakano in 1953, [1] and led to the proposal of strangeness as a concept, which Nishijima originally called "eta-charge" after the eta meson. [2] Murray Gell-Mann proposed the formula independently in 1956. [3] The modern version of the formula relates all flavour quantum numbers (isospin ...

  7. Two-body problem - Wikipedia

    en.wikipedia.org/wiki/Two-body_problem

    [2] Let x 1 and x 2 be the vector positions of the two bodies, and m 1 and m 2 be their masses. The goal is to determine the trajectories x 1 (t) and x 2 (t) for all times t, given the initial positions x 1 (t = 0) and x 2 (t = 0) and the initial velocities v 1 (t = 0) and v 2 (t = 0). When applied to the two masses, Newton's second law states that

  8. Double layer forces - Wikipedia

    en.wikipedia.org/wiki/Double_layer_forces

    At lower salt levels, however, the range of this attraction is related to the characteristic size of the surface charge heterogeneities. Three-body forces : The interactions between weakly charged objects are pair-wise additive due to the linear nature of the DH approximation.

  9. n-body problem - Wikipedia

    en.wikipedia.org/wiki/N-body_problem

    r = r 2 − r 1 is the vector position of m 2 relative to m 1; α is the Eulerian acceleration ⁠ d 2 r / dt 2 ⁠; η = G(m 1 + m 2). The equation α + ⁠ η / r 3 ⁠ r = 0 is the fundamental differential equation for the two-body problem Bernoulli solved in 1734. Notice for this approach forces have to be determined first, then the ...