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  2. Prism correction - Wikipedia

    en.wikipedia.org/wiki/Prism_correction

    A prism of power 1 Δ would produce 1 unit of displacement for an object held 100 units from the prism. [2] Thus a prism of 1 Δ would produce 1 cm visible displacement at 100 cm, or 1 metre. This can be represented mathematically as: = ⁡ where is the amount of prism correction in prism dioptres, and is the angle of deviation of the light.

  3. Two-body problem in general relativity - Wikipedia

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

    v. t. e. 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.

  4. Einstein field equations - Wikipedia

    en.wikipedia.org/wiki/Einstein_field_equations

    v. t. e. In the general theory of relativity, the Einstein field equations (EFE; also known as Einstein's equations) relate the geometry of spacetime to the distribution of matter within it. [1] The equations were published by Albert Einstein in 1915 in the form of a tensor equation [2] which related the local spacetime curvature (expressed by ...

  5. Euler's three-body problem - Wikipedia

    en.wikipedia.org/wiki/Euler's_three-body_problem

    The problem of two fixed centers conserves energy; in other words, the total energy is a constant of motion.The potential energy is given by =where represents the particle's position, and and are the distances between the particle and the centers of force; and are constants that measure the strength of the first and second forces, respectively.

  6. Spherical aberration - Wikipedia

    en.wikipedia.org/wiki/Spherical_aberration

    Spherical aberration of collimated light incident on a concave spherical mirror. In optics, spherical aberration (SA) is a type of aberration found in optical systems that have elements with spherical surfaces. This phenomenon commonly affects lenses and curved mirrors, as these components are often shaped in a spherical manner for ease of ...

  7. Kepler's equation - Wikipedia

    en.wikipedia.org/wiki/Kepler's_equation

    The Radial Kepler equation for the case where the object does not have enough energy to escape is: where is proportional to time and is proportional to the distance from the centre of attraction along the ray and attains the value 1 at the maximum distance. This equation is derived by multiplying Kepler's equation by 1/2 and setting to 1: and ...

  8. Ultraviolet catastrophe - Wikipedia

    en.wikipedia.org/wiki/Ultraviolet_catastrophe

    The "ultraviolet catastrophe" is the expression of the fact that the formula misbehaves at higher frequencies, i.e. as . An example, from Mason's A History of the Sciences, [4] illustrates multi-mode vibration via a piece of string. As a natural vibrator, the string will oscillate with specific modes (the standing waves of a string in harmonic ...

  9. Mathematical formulation of the Standard Model - Wikipedia

    en.wikipedia.org/wiki/Mathematical_formulation...

    The standard model is a quantum field theory, meaning its fundamental objects are quantum fields, which are defined at all points in spacetime. QFT treats particles as excited states (also called quanta) of their underlying quantum fields, which are more fundamental than the particles. These fields are.