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In 1859, Le Verrier discovered the Mercury perihelion advance anomaly. This anomaly turned out to be the first relativistic-gravity effect observed. During the 157 years to 2016, the precisions and accuracies of laboratory and space…

General Relativity and Quantum Cosmology · Physics 2016-12-28 Wei-Tou Ni

Many have have taken in hand to write a treatise on the Star of Bethlehem, particularly on Kepler's explanation as a stellar birth, triggered by Mars joining a great conjunction (a meeting of Jupiter and Saturn), as he observed it in…

History and Philosophy of Physics · Physics 2026-03-17 Stephan F. Huckemann

In a pioneering exposition of mathematical astronomy for the public, Sir John Herschel attributed the stability of the ring of Saturn to its being eccentric with respect to the planet and lopsided (asymmetric in mass) by a minute amount.…

History and Philosophy of Physics · Physics 2011-12-09 Alan B. Whiting

This is an English translation from the Latin original of Leonhard Euler's ``Solutio facilior problematis Diophantei circa triangulum, in quo rectae ex angulis latera opposita bisecantes rationaliter exprimantur''. In this paper, Euler…

History and Overview · Mathematics 2007-05-23 Leonhard Euler

The publication of Principia Mathematica in 1678 by Newton became known the celestial bodies motion laws, which characterize the Classical Mechanics. Thereafter made sense to search about the movement of these bodies from known initial…

History and Overview · Mathematics 2022-12-26 Rosário Laureano , Manuel Alberto M. Ferreira

Einstein Telescope (ET) is a planned third generation gravitational waves detector located in Europe. Its design will be different from currently build interferometers, because ET will consist of three interferometers rotated by a 60 deg…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-25 I. Kowalska-Leszczynska , T. Bulik

The study of the differences detected between the observed and the predicted positions of Uranus taking only the ancient planets into account led to the discovery of planet Neptune in 1846. This event remains one of the best accomplishments…

Earth and Planetary Astrophysics · Physics 2024-05-13 Gabriel Rodríguez-Moris , José A. Docobo

During the past one hundred years three related elementary particles - the electron, the muon, and the tau - were discovered by very different scientific techniques. The author, who received the Wolf Prize and the Nobel Prize for the…

History and Philosophy of Physics · Physics 2007-05-23 M. L. Perl

This paper discusses Einstein's methodology. 1. Einstein characterized his work as a theory of principle and reasoned that beyond kinematics, the 1905 heuristic relativity principle could offer new connections between non-kinematical…

History and Philosophy of Physics · Physics 2012-09-25 Galina Weinstein

The recent literature of astronomy and cosmology has included a good many suggestions for "who first recognized the expansion of the universe?" with cases having been made for Lemaitre, Lundmark, de Sitter, Slipher, Shapley, Friedmann,…

History and Philosophy of Physics · Physics 2013-07-10 Virginia Trimble

Numerous telescopes and techniques have been used to find and study extrasolar planets, but none has been more successful than NASA's Kepler Space Telescope. Kepler has discovered the majority of known exoplanets, the smallest planets to…

Earth and Planetary Astrophysics · Physics 2015-06-22 Jack J. Lissauer , Rebekah I. Dawson , Scott Tremaine

In the Newtonian 3-body problem, for any choice of the three masses, there are exactly three Euler configurations (also known as the three Euler points). In Helmholtz' problem of 3 point vortices in the plane, there are at most three…

Mathematical Physics · Physics 2015-11-24 Alain Albouy , Yanning Fu

Almost all the "Voyages Extraordinaires" written by Jules Verne refer to astronomy. In some of them, astronomy is even the leading theme. However, Jules Verne was basically not learned in science. His knowledge of astronomy came from…

History and Philosophy of Physics · Physics 2009-06-08 Jacques Crovisier

In the seminal essay, "On the unreasonable effectiveness of mathematics in the physical sciences," physicist Eugene Wigner poses a fundamental philosophical question concerning the relationship between a physical system and our capacity to…

History and Philosophy of Physics · Physics 2016-07-25 Gopal P. Sarma

Kepler's thinking is highly original and the inspiration for discovering his famous third law is based on his rather curious geometric approach in his Harmonices mundi for explaining consonances. In this article we try to use a modern…

History and Overview · Mathematics 2024-09-09 Urs Frauenfelder

A 250-year old Newtonian problem, first studied by Euler, turns out to share a lot of similarities with the most extreme astrophysical relativistic object, the Kerr black hole. Although the framework behind the two fields is completely…

General Relativity and Quantum Cosmology · Physics 2020-03-04 Areti Eleni , Theocharis A. Apostolatos

People typically consider only European mathematics as orthodox, often intentionally or unintentionally overlooking the existence of mathematics from non-European societies. Inspired by Maria Ascher's two well-known papers on sand drawings…

History and Overview · Mathematics 2024-04-09 Linbin Wang , Rowena Ball , Hongzhang Xu

The Pierre Auger Observatory has a unique potential to search for ultra-high energy photons (above ~1 EeV). First experimental limits on photons were obtained during construction of the southern part of the Observatory. Remarkably, already…

High Energy Astrophysical Phenomena · Physics 2019-08-13 M. Risse

In this article, we investigate how Euler might have been led to conjecture the Prime Number Theorem, based on what he knew. We also speculate on why he did not do so.

History and Overview · Mathematics 2017-01-18 Simon Rubinstein-Salzedo

Gaia is a satellite mission of the European Space Agency which is creating a catalogue of extremely accurate positions, distances and space motions of two billion stars in our Galaxy, along with more than one hundred thousand solar system…

Instrumentation and Methods for Astrophysics · Physics 2025-09-16 Michael Perryman