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  2. Three-body problem - Wikipedia

    en.wikipedia.org/wiki/Three-body_problem

    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

  3. Newton's laws of motion - Wikipedia

    en.wikipedia.org/wiki/Newton's_laws_of_motion

    Newton's laws are often stated in terms of point or particle masses, that is, bodies whose volume is negligible. This is a reasonable approximation for real bodies when the motion of internal parts can be neglected, and when the separation between bodies is much larger than the size of each.

  4. De analysi per aequationes numero terminorum infinitas

    en.wikipedia.org/wiki/De_analysi_per_aequationes...

    Composed in 1669, [4] during the mid-part of that year probably, [5] from ideas Newton had acquired during the period 1665–1666. [4] Newton wrote And whatever the common Analysis performs by Means of Equations of a finite number of Terms (provided that can be done) this new method can always perform the same by means of infinite Equations.

  5. Action at a distance - Wikipedia

    en.wikipedia.org/wiki/Action_at_a_distance

    Action at a distance is the concept in physics that an object's motion can be affected by another object without the two being in physical contact; that is, it is the concept of the non-local interaction of objects that are separated in space. Coulomb's law and Newton's law of universal gravitation are based on action at a distance.

  6. n-body problem - Wikipedia

    en.wikipedia.org/wiki/N-body_problem

    The n-body problem considers n point masses m i, i = 1, 2, …, n in an inertial reference frame in three dimensional space ℝ 3 moving under the influence of mutual gravitational attraction. Each mass m i has a position vector q i. Newton's second law says that mass times acceleration m i ⁠ d 2 q i / dt 2 ⁠ is equal to the sum of the ...

  7. Schrödinger–Newton equation - Wikipedia

    en.wikipedia.org/wiki/Schrödinger–Newton_equation

    The Schrödinger–Newton equation, sometimes referred to as the Newton–Schrödinger or Schrödinger–Poisson equation, is a nonlinear modification of the Schrödinger equation with a Newtonian gravitational potential, where the gravitational potential emerges from the treatment of the wave function as a mass density, including a term that represents interaction of a particle with its own ...

  8. De motu corporum in gyrum - Wikipedia

    en.wikipedia.org/wiki/De_motu_corporum_in_gyrum

    Problem 4 then explores, for the case of an inverse-square law of centripetal force, how to determine the orbital ellipse for a given starting position, speed, and direction of the orbiting body. Newton points out here, that if the speed is high enough, the orbit is no longer an ellipse, but is instead a parabola or hyperbola.

  9. Newtonian dynamics - Wikipedia

    en.wikipedia.org/wiki/Newtonian_dynamics

    i.e. they take the form of Newton's second law applied to a single particle with the unit mass =. Definition . The equations ( 3 ) are called the equations of a Newtonian dynamical system in a flat multidimensional Euclidean space , which is called the configuration space of this system.