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...

The Kepler conjecture, named after the 17th-century mathematician and astronomer Johannes Kepler, is a mathematical theorem about sphere packing in three-dimensional...

\theta _{0})} is the initial coordinate of the particle. The traditional Kepler problem of calculating the orbit of an inverse square law may be read off from...

most prominent example of the classical two-body problem is the gravitational case (see also Kepler problem), arising in astronomy for predicting the orbits...

distance between them; such problems are called Kepler problems. Thus the hydrogen atom is a Kepler problem, since it comprises two charged particles interacting...

three-body problem is known by a variety of names, such as the problem of two fixed centers, the Euler–Jacobi problem, and the two-center Kepler problem. The...

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...

Johannes Kepler (27 December 1571 – 15 November 1630) was a German astronomer, mathematician, astrologer, natural philosopher and writer on music. He is...

In astronomy, Kepler's laws of planetary motion, published by Johannes Kepler in 1609 (except the third law, which was fully published in 1619), describe...

mechanics, Kepler's equation relates various geometric properties of the orbit of a body subject to a central force. It was derived by Johannes Kepler in 1609...

is used if possible. The two-body problem in general relativity is analytically solvable only for the Kepler problem, in which one mass is assumed to be...

said to be a solution of a special case of the two-body problem, known as the Kepler problem. As a theory in classical mechanics, it also does not take...

an inverse-square force law will produce is known as the Kepler problem. The Kepler problem can be solved in multiple ways, including by demonstrating...

repulsive one. This special case of the classical central-force problem is called the Kepler problem. For an inverse-square force, the Binet equation derived...

Kepler problem Gravitational lensing Gravitational redshift Gravitational time dilation Gravitational waves Frame-dragging Geodetic effect Event horizon...

zone: Kepler-560b, Kepler-705b, Kepler-1229b, Kepler-1410b, Kepler-1455b, Kepler-1544 b, Kepler-1593b, Kepler-1606b, and Kepler-1638b. The Kepler team...

in which the trans-Planckian problem is addressed.[citation needed] The key point is that similar trans-Planckian problems occur when the modes occupied...

quantum physics, including atoms in strong fields and the anisotropic Kepler problem. Some authors have argued that extreme (exponential) dependence on initial...

geometry to solve the Kepler problem. It was written by Stephanie Singer, and published by Birkhäuser in 2001. The Kepler problem in classical mechanics...

between the two sheets a "bridge". — A. Einstein, N. Rosen, "The Particle Problem in the General Theory of Relativity" For the combined field, gravity and...

theory was developed under the name of the Kepler problem.: 76  The well-known solutions to the Kepler problem are called orbits and unbound orbits are...

Kepler problem Gravitational lensing Gravitational redshift Gravitational time dilation Gravitational waves Frame-dragging Geodetic effect Event horizon...

elements Kepler problem Kepler problem in general relativity Kepler space telescope Kepler Launch Site Kepler photometer Keplerian telescope Kepler refractor...

Kepler problem Gravitational lensing Gravitational redshift Gravitational time dilation Gravitational waves Frame-dragging Geodetic effect Event horizon...

In astrodynamics and celestial mechanics a radial trajectory is a Kepler orbit with zero angular momentum. Two objects in a radial trajectory move directly...

Press, (1999) Brackenridge, J. Bruce. The Key to Newton's Dynamics: The Kepler Problem and the Principia: Containing an English Translation of Sections 1,...

suggestion, Newton tackled the problem and was able to prove that ellipses also proved the inverse square relation from Kepler's observations.: 13  In 1684...

Kepler problem Gravitational lensing Gravitational redshift Gravitational time dilation Gravitational waves Frame-dragging Geodetic effect Event horizon...

of conformal maps from the sphere to the plane. The solution of the Kepler problem in a space of uniform positive curvature is a spherical conic, with...

solving a variety of integral calculus problems. Laplace–Runge–Lenz vector, for an example in solving the Kepler problem "AMS Glossary of Meteorology : Hodograph"...