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  2. 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.).

  3. Barycenter (astronomy) - Wikipedia

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

    m 2 is the mass of the secondary in Earth masses (M E) a (km) is the average orbital distance between the centers of the two bodies; r 1 (km) is the distance from the center of the primary to the barycenter; R 1 (km) is the radius of the primary ⁠ r 1 / R 1 ⁠ a value less than one means the barycenter lies inside the primary

  4. 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

  5. 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 ...

  6. Centroid - Wikipedia

    en.wikipedia.org/wiki/Centroid

    [2] In physics, if variations in gravity are considered, then a center of gravity can be defined as the weighted mean of all points weighted by their specific weight . In geography , the centroid of a radial projection of a region of the Earth's surface to sea level is the region's geographical center .

  7. Elliptic orbit - Wikipedia

    en.wikipedia.org/wiki/Elliptic_orbit

    Two bodies with highly unequal mass orbiting a common barycenter with circular orbits. An elliptical orbit is depicted in the top-right quadrant of this diagram, where the gravitational potential well of the central mass shows potential energy, and the kinetic energy of the orbital speed is shown in red. The height of the kinetic energy ...

  8. Barycentric Dynamical Time - Wikipedia

    en.wikipedia.org/wiki/Barycentric_Dynamical_Time

    Barycentric Dynamical Time (TDB, from the French Temps Dynamique Barycentrique) is a relativistic coordinate time scale, intended for astronomical use as a time standard to take account of time dilation [1] when calculating orbits and astronomical ephemerides of planets, asteroids, comets and interplanetary spacecraft in the Solar System.

  9. Barycentric and geocentric celestial reference systems

    en.wikipedia.org/wiki/Barycentric_and_geocentric...

    Its center of coordinates as the center of mass of the entire Solar System, its barycenter. It was created in 2000 by the International Astronomical Union (IAU) to be the global standard reference system for objects located outside the gravitational vicinity of Earth : [ 1 ] planets, moons, and other Solar System bodies, stars and other objects ...

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