X-Nico

unusual facts about Kepler's equation


Lagrange reversion theorem

Lagrange's reversion theorem is used to obtain numerical solutions to Kepler's equation.


Abel's identity

It is especially useful for equations such as Bessel's equation where the solutions do not have a simple analytical form, because in such cases the Wronskian is difficult to compute directly.

Asada Goryu

Yet Asada managed to construct sophisticated mathematical models of celestial movements and is sometimes credited with the independent discovery of Kepler's third law.

Bloch wave

Other much studied periodic one-dimensional equations are the Kronig–Penney model and Mathieu's equation.

Christopher Heydon

Heydon also wrote but did not publish An Astrological Discourse with Mathematical Demonstrations (c. 1608), a further defence of astrology drawing on Kepler, with a short account of the 1603 conjunction of Saturn and Jupiter.

Dante's Equation

Calder Farris-- Lieutenant in the United States Army and agent for the United States Department of Defense, a violently patriotic sociopath investigating new weapons technology from non-mainstream scientific sources.

De Sitter double star experiment

That is, Kepler's laws of motion would apparently be violated for a distant observer.

Thus Kepler's laws of motion would apparently be violated for a distant observer.

Die Harmonie der Welt

This recording was made in the Jesus-Christus-Kirche in Berlin-Dahlem in February/March 2000, with Marek Janowski conducting the Berlin Radio Symphony Orchestra, and François le Roux in the role of Johannes Kepler.

Edward Condon

Condon said he replied: "I believe in Archimedes' Principle, formulated in the third century B.C. I believe in Kepler's laws of planetary motion, discovered in the seventeenth century. I believe in Newton's laws...." and continued with a catalog of scientists from earlier centuries, including the Bernoulli, Fourier, Ampère, Boltzmann, and Maxwell.

Exceptional object

In three dimensions there are four Kepler–Poinsot polyhedra, and in four dimensions ten Schläfli–Hess polychora; in higher dimensions there are no non-convex regular figures.

GeForce 600 Series

It serves as the introduction for the Kepler architecture (GK-codenamed chips), named after the German mathematician, astronomer, and astrologer Johannes Kepler.

Gymnázium Jana Keplera

The Gymnázium Jana Keplera (English: Johannes Kepler Gymnasium or Johannes Kepler Grammar School) is a public gymnasium located in Prague 6 district in Prague, Czech Republic.

Harmonices Mundi

It is estimated that Kepler had begun working on Harmonices Mundi sometime near 1599, which was the year Kepler sent a letter to Maestlin detailing the mathematical data and proofs that he intended to use for his upcoming text, which he originally planned to name De harmonia mundi.

Henry Draper Medal

The medal was most recently awarded in 2013 to William J. Borucki "For his founding concept, unflagging advocacy, and visionary leadership during the development of NASA's Kepler mission, which has uncovered myriad planets and solar systems with unforeseen and surprising properties.".

Huber's equation

Very useful in calculating the span width of the bridges like Golden Gate Bridge or Verrazano-Narrows Bridge, their beam cross-sections, etc.

Hunt for Exomoons with Kepler

As with previous searches, though, no moons were conclusively discovered, constraining the maximum mass of a Kepler-22b moon below 0.54 Earth masses with 95% confidence.

Ignatius His Conclave

The text mocks Jesuit evangelism and makes references to many scientists of the day, including Copernicus, Kepler, Brahe, and Galileo.

James Bradley

This discovery of what became known as the aberration of light was, for all realistic purposes, conclusive evidence for the movement of the Earth, and hence for the correctness of Aristarchus' and Kepler's theories; it was announced to the Royal Society in January 1729 (Phil. Trans. xxxv. 637).

Jane Jensen

Jane Jensen (b. January 28, 1963 in Palmerton, Pennsylvania) is the game designer of the popular and critically acclaimed Gabriel Knight adventure games and author of the novels Judgment Day and Dante's Equation.

Karl Heun

Karl Heun (born 3 April 1859, Wiesbaden; died 10 January 1929, Karlsruhe) was a German mathematician who introduced Heun's equation, Heun functions, and Heun's method.

Kepler Kessel

The name of Kepler Kessel derives from the famous astronomer Johannes Kepler who moved to Ulm in 1627 to finish and publish his famous works later known as the Rudolphine Tables.

Kepler Lake

The Kepler Lake Community have Jamestown addresses and ZIP Codes but Castor phone numbers and live within the Castor district of the Bienville Parish School Board.

Kepler star

Kepler's Supernova, a supernova that occurred in the Milky Way, observed by the naked eye in 1604

Kepler Object of Interest, a star observed by the Kepler spacecraft which is suspected of hosting one or more transiting planets

Kepler-10b

On January 13, 2011, 3 days after the planet's discovery was announced, The Economist published an article suggesting “Vulcan” as an unofficial name for the planet, after both the hypothetical planet, and the Roman god of the same name.

Kepler–Poinsot polyhedron

Norwegian artist Vebjørn Sands sculpture The Kepler Star is displayed near Oslo Airport, Gardermoen.

Landsbanki

In 2005, Landsbanki acquired three European securities houses: Teather & Greenwood, located in London and Edinburgh; Kepler Capital Markets, headquartered in Paris; and Merrion Capital Group in Dublin.

Laplace–Runge–Lenz vector

The hydrogen atom is a Kepler problem, since it comprises two charged particles interacting by Coulomb's law of electrostatics, another inverse square central force.

Lucjan Böttcher

His name is attached to Böttcher theorem, in which he introduced Böttcher's equation and solved it under certain assumptions.

Mathematical beauty

As there are exactly five Platonic solids, Kepler's hypothesis could only accommodate six planetary orbits and was disproved by the subsequent discovery of Uranus.

Methods of computing square roots

Pell's equation (also known as Brahmagupta equation since he was the first to give a solution to this particular equation) and its variants yield a method for efficiently finding continued fraction convergents of square roots of integers.

Michael Maestlin

In Jules Verne's Cinq semaines en ballon (Five Weeks in a Balloon) the character of Joe, the manservant, is described as enjoying, "in common with Moestlin, Kepler's professor, the rare faculty of distinguishing the satellites of Jupiter with the naked eye, and of counting fourteen of the stars in the group of Pleiades, the remotest of them being only of the ninth magnitude."

Music of the Spheres Society

Music of the Spheres” is a term applied to an idea put forth by the Greek scholar Pythagoras (6th century BCE) and his followers, among them Plato and Kepler, that the proportional ratios used to describe musical intervals also refer to those of the physical universe, including the orbiting motion of planets.

PH1

Kian Jek, from San Francisco, and Robert Gagliano, from Cottonwood, Arizona, spotted the signature of the planet in the Kepler data, and it was reported through the PlanetHunters.org program run by Dr. Chris Lintott, from Oxford University.

Philip III, Landgrave of Hesse-Butzbach

Philip III also corresponded with the astronomers Kepler and Galileo.

Quaestiones quaedam philosophicae

Elsewhere, in his notes on Kepler's laws of planetary motion that he read about in the book Astronomiae carolina by Thomas Streete, he reached the conclusion that gravity must not merely act on the surfaces of bodies but on their interiors.

Regular polyhedron

Kepler's work, and the discovery since that time of Uranus and Neptune, have invalidated the Pythagorean idea.

Rosser's equation

In economics, Rosser's equation (named after J. Barkley Rosser, Jr.) calculates future US Social Security Administration Trust Fund balances and payments as the ratio of benefit payments in real terms for a given income level to be received the year after the Trust Fund would be exhausted, to those of the same income level for an initial year.

Schröder's equation

The series expansion around a fixed point and the relevant convergence properties of the solution for the resulting orbit and its analyticity properties are cogently summarized by Szekeres.

SHIWA project

SHIWA developed workflow interoperability solutions for several workflow systems, namely ASKALON Fahringer, et al. 2005, MOTEUR Glatard, et al. 2008, Pegasus Deelman 2005, PGRADE Kacsuk, et al. 2003, Galaxy, GWES, Kepler, LONI Pipeline, Taverna, ProActive and Triana Majithia et al. 2004.

Spherical polyhedron

Two hundred years ago, at the start of the 19th Century, Poinsot used spherical polyhedra to discover the four regular star polyhedra.

Tadeáš Hájek

Tadeáš Hájek was in frequent scientific correspondence with the recognized astronomer Tycho Brahe (1546-1601) and played an important role in persuading Rudolph II to invite Brahe (and later Kepler) to Prague.

This Is Your Captain Speaking

The band was then signed to UK label Resonant Records (Do Make Say Think, Tarentel, Kepler), who re-issued the album in Europe in 2006.

Two-body problem in general relativity

The Kepler problem derives its name from Johannes Kepler, who worked as an assistant to the Danish astronomer Tycho Brahe.

Über das farbige Licht der Doppelsterne und einiger anderer Gestirne des Himmels

'New stars' (in particular two supernovas, Tycho's Nova of 1572, and Kepler's Nova of 1604), that suddenly appeared, having a white colour in the brightest phase, then turning to yellow and red, and finally fading out.

Ulysse Nardin

Dr. Oechslin then followed the Astrolabium up with two other astronomical watches: in 1988 the Planetarium Copernicus (named after the stargazing theaters called planetariums and of astronomer Copernicus) and in 1992 the Tellurium Johannes Kepler (named after the element tellurium and astronomer Johannes Kepler).


see also