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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.
Kepler problem. In classical mechanics, the Kepler problem is a special case of the two-body problem, in which the two bodies interact by a central force that varies in strength as the inverse square of the distance between them. The force may be either attractive or repulsive. The problem is to find the position or speed of the two bodies over ...
The three-body problem is a special case of the n-body problem, which describes how n objects move under one of the physical forces, such as gravity. These problems have a global analytical solution in the form of a convergent power series, as was proven by Karl F. Sundman for n = 3 and by Qiudong Wang for n > 3 (see n-body problem for details
The resulting equation: ¨ = shows that the velocity = of the center of mass is constant, from which follows that the total momentum m 1 v 1 + m 2 v 2 is also constant (conservation of momentum). Hence, the position R ( t ) of the center of mass can be determined at all times from the initial positions and velocities.
Persol is an Italian luxury eyewear brand specializing in the manufacturing of sunglasses and optical frames. It is one of the oldest eyewear companies in the world and is owned by the Luxottica group. The name is derived from the Italian per il sole, meaning "for the sun". Formed in 1917 by Giuseppe Ratti, Persol originally catered to pilots ...
Millennium Prize Problems. The Navier–Stokes existence and smoothness problem concerns the mathematical properties of solutions to the Navier–Stokes equations, a system of partial differential equations that describe the motion of a fluid in space. Solutions to the Navier–Stokes equations are used in many practical applications.
Euler's three-body problem is to describe the motion of a particle under the influence of two centers that attract the particle with central forces that decrease with distance as an inverse-square law, such as Newtonian gravity or Coulomb's law. Examples of Euler's problem include an electron moving in the electric field of two nuclei, such as ...
The Three-Body Problem ( Chinese: 三体; lit. 'three body') is a 2008 novel by the Chinese science fiction author Liu Cixin. It is the first novel in the Remembrance of Earth's Past trilogy. [ 1] The series portrays a fictional past, present, and future wherein Earth encounters an alien civilization from a nearby system of three Sun-like stars ...
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