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  2. Two-body problem in general relativity - Wikipedia

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

    The two-body problem in general relativity (or relativistic two-body problem) is the determination of the motion and gravitational field of two bodies as described by the field equations of general relativity. Solving the Kepler problem is essential to calculate the bending of light by gravity and the motion of a planet orbiting its sun

  3. Reduced mass - Wikipedia

    en.wikipedia.org/wiki/Reduced_mass

    In physics, reduced mass is a measure of the effective inertial mass of a system with two or more particles when the particles are interacting with each other. Reduced mass allows the two-body problem to be solved as if it were a one-body problem. Note, however, that the mass determining the gravitational force is not reduced.

  4. Two-body problem - Wikipedia

    en.wikipedia.org/wiki/Two-body_problem

    By contrast, subtracting equation (2) from equation (1) results in an equation that describes how the vector r = x 1 − x 2 between the masses changes with time. The solutions of these independent one-body problems can be combined to obtain the solutions for the trajectories x 1 (t) and x 2 (t).

  5. Kepler's equation - Wikipedia

    en.wikipedia.org/wiki/Kepler's_equation

    Solving for is more or less equivalent to solving for the true anomaly, or the difference between the true anomaly and the mean anomaly, which is called the "Equation of the center". One can write an infinite series expression for the solution to Kepler's equation using Lagrange inversion , but the series does not converge for all combinations ...

  6. Lambert's problem - Wikipedia

    en.wikipedia.org/wiki/Lambert's_problem

    In celestial mechanics, Lambert's problem is concerned with the determination of an orbit from two position vectors and the time of flight, posed in the 18th century by Johann Heinrich Lambert and formally solved with mathematical proof by Joseph-Louis Lagrange. It has important applications in the areas of rendezvous, targeting, guidance, and ...

  7. Microsoft Math Solver - Wikipedia

    en.wikipedia.org/wiki/Microsoft_Math_Solver

    Microsoft Math contains features that are designed to assist in solving mathematics, science, and tech-related problems, as well as to educate the user. The application features such tools as a graphing calculator and a unit converter. It also includes a triangle solver and an equation solver that provides step-by-step solutions to each problem.

  8. Physical coefficient - Wikipedia

    en.wikipedia.org/wiki/Physical_coefficient

    Partition coefficient (K D) - The ratio of concentrations of a compound in two phases of a mixture of two immiscible solvents at equilibrium. Hall coefficient (electrical physics) - Relates a magnetic field applied to an element to the voltage created, the amount of current and the element thickness. It is a characteristic of the material from ...

  9. Mixing ratio - Wikipedia

    en.wikipedia.org/wiki/Mixing_Ratio

    In chemistry and physics, the dimensionless mixing ratio is the abundance of one component of a mixture relative to that of all other components. The term can refer either to mole ratio (see concentration ) or mass ratio (see stoichiometry ).