Listing 1 - 5 of 5 |
Sort by
|
Choose an application
Les travaux de Jean Le Rond D’Alembert (1717-1783) couvrent un vaste domaine de connaissances : sciences mathématiques, musique, littérature, philosophie. Par ses activités académiques, sa participation à l’Encyclopédie et son engagement dans la vie intellectuelle de son temps, D’Alembert a laissé une marque décisive dans la pensée et l’héritage des Lumières. L’édition critique de ses Œuvres complètes, la première à ce jour, est préparée par un groupe d’historiens des sciences, de philosophes et de scientifiques. D’Alembert académicien des sciences regroupe les rapports d’examen, les textes relatifs aux prix, les discours et les projets de réforme qui portent la marque de D’Alembert au sein de l’Académie royale des sciences de Paris, institution centrale de la vie savante européenne au XVIIIe siècle. En quoi cette activité au jour le jour a-t-elle forgé la personnalité scientifique et nourri la réflexion philosophique de D’Alembert ? Comment ce dernier a-t-il endossé et utilisé la fonction académique ? De la théorie musicale à la dynamique, de l’impossible quadrature du cercle au calcul intégral, de l’horlogerie à l’astronomie la plus théorique, c’est l’ensemble des recherches et des engagements de D’Alembert qui sont ici interrogés et mis en perspective sur presque un demi-siècle, de 1741, date de son entrée à l’Académie, jusqu’à sa mort en 1783. D’Alembert académicien des sciences offre également une synthèse et une illustration du travail académique au siècle des Lumières. Outre les modalités et les conditions concrètes de l’exercice d’une expertise scientifique au xviiie siècle, il s’agit de donner une vision plus précise des règlements et usages de l’Académie royale des sciences de Paris. Débats internes autour du statut des membres, réception des souverains étrangers, mécanismes d’attribution des prix, procédures d’examen ou d’élection sont autant d’aspects de la vie de l’Académie destinés à être documentés par ce volume, fruit des recherches collectives du Groupe D’Alembert.
Choose an application
Celestial mechanics.. --- Gravitational astronomy --- Mechanics, Celestial --- Astrophysics --- Mechanics
Choose an application
This textbook provides details of the derivation of Lagrange's planetary equations and of the closely related Gauss's variational equations, thereby covering a sorely needed topic in existing literature. Analytical solutions can help verify the results of numerical work, giving one confidence that his or her analysis is correct. The authorsall experienced experts in astrodynamics and space missionstake on the massive derivation problem step by step in order to help readers identify and understand possible analytical solutions in their own endeavors.
Perturbation (Astronomy). --- Planets --- Orbits. --- Orbits --- Kepler's laws --- Planetary orbits --- Celestial mechanics --- Perturbation (Mathematics) --- Perturbation (Astronomy)
Choose an application
This textbook provides details of the derivation of Lagrange's planetary equations and of the closely related Gauss's variational equations, thereby covering a sorely needed topic in existing literature. Analytical solutions can help verify the results of numerical work, giving one confidence that his or her analysis is correct. The authorsall experienced experts in astrodynamics and space missionstake on the massive derivation problem step by step in order to help readers identify and understand possible analytical solutions in their own endeavors.
Perturbation (Astronomy) --- Planets --- Orbits. --- Planetary orbits --- Orbits --- Kepler's laws --- Celestial mechanics --- Perturbation (Mathematics)
Choose an application
The intention of this book is to shine a bright light on the intellectual context of Euler's contributions to physics and mathematical astronomy. Leonhard Euler is one of the most important figures in the history of science, a blind genius who introduced mathematical concepts and many analytical tools to help us understand and describe the universe. Euler also made a monumental contribution to astronomy and orbital mechanics, developing what he called astronomia mechanica. Orbital mechanics of artificial satellites and spacecraft is based on Euler's analysis of astromechanics. However, previous books have often neglected many of his discoveries in this field. For example, orbital mechanics texts refer to the five equilibrium points in the Sun-Earth-Moon system as Lagrange points, failing to credit Euler who first derived the differential equations for the general n-body problem and who discovered the three collinear points in the three-body problem of celestial mechanics. These equilibrium points are essential today in space exploration; the James Webb Space Telescope (successor to the Hubble), for example, now orbits the Sun near L2, one of the collinear points of the Sun-Earth-Moon system, while future missions to study the universe will place observatories in orbit around Sun-Earth and Earth-Moon equilibrium points that should be properly called Euler-Lagrange points. In this book, the author uses Euler's memoirs, correspondence, and other scholarly sources to explore how he established the mathematical groundwork for the rigorous study of motion in our Solar System. The reader will learn how he studied comets and eclipses, derived planetary orbits, and pioneered the study of planetary perturbations, and how, old and blind, Euler put forward the most advanced lunar theory of his time.
Mathematical analysis --- Mathematics --- Space research --- Astronomy --- Classical mechanics. Field theory --- Geophysics --- zwaartekracht --- analyse (wiskunde) --- wiskunde --- ruimte (astronomie) --- ruimtevaart --- mechanica --- Astronomer --- Physicists --- Celestial mechanics. --- Euler, Leonhard,
Listing 1 - 5 of 5 |
Sort by
|