001463655 000__ 04055cam\a2200601\i\4500 001463655 001__ 1463655 001463655 003__ OCoLC 001463655 005__ 20230601003331.0 001463655 006__ m\\\\\o\\d\\\\\\\\ 001463655 007__ cr\cn\nnnunnun 001463655 008__ 230502s2023\\\\sz\a\\\\ob\\\\000\0\eng\d 001463655 019__ $$a1378390926 001463655 020__ $$a9783031179648$$qelectronic book 001463655 020__ $$a3031179641$$qelectronic book 001463655 020__ $$z9783031179631 001463655 0247_ $$a10.1007/978-3-031-17964-8$$2doi 001463655 035__ $$aSP(OCoLC)1378079097 001463655 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dEBLCP$$dYDX 001463655 049__ $$aISEA 001463655 050_4 $$aQC173.6$$b.R36 2023 001463655 08204 $$a530.11$$223/eng/20230502 001463655 1001_ $$aRamond, Paul,$$eauthor. 001463655 24514 $$aThe first law of mechanics in general relativity & isochrone orbits in Newtonian gravity /$$cPaul Ramond. 001463655 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2023] 001463655 300__ $$a1 online resource (xxvi, 393 pages) :$$billustrations (some color). 001463655 336__ $$atext$$btxt$$2rdacontent 001463655 337__ $$acomputer$$bc$$2rdamedia 001463655 338__ $$aonline resource$$bcr$$2rdacarrier 001463655 4901_ $$aSpringer theses 001463655 500__ $$a"Doctoral thesis accepted by Université Paris Cité, Paris, France." 001463655 504__ $$aIncludes bibliographical references. 001463655 5050_ $$aGravitational Theory -- Multipolar Particles -- Helical Isometry -- First Laws of Mechanics -- The First Law at Dipolar Order. 001463655 506__ $$aAccess limited to authorized users. 001463655 520__ $$aThe thesis tackles two distinct problems of great interest in gravitational mechanics -- one relativistic and one Newtonian. The relativistic one is concerned with the "first law of binary mechanics", a remarkably simple variational relation that plays a crucial role in the modern understanding of the gravitational two-body problem, thereby contributing to the effort to detect gravitational-wave signals from binary systems of black holes and neutron stars. The work reported in the thesis provides a mathematically elegant extension of previous results to compact objects that carry spin angular momentum and quadrupolar deformations, which more accurately represent astrophysical bodies than mere point particles. The Newtonian problem is concerned with the isochrone problem of celestial mechanics, namely the determination of the set of radial potentials whose bounded orbits have a radial period independent of the angular momentum. The thesis solves this problem completely in a geometrical way and explores its consequence on a variety of levels, in particular with a complete characterisation of isochrone orbits. The thesis is exceptional in the breadth of its scope and achievements. It is clearly and eloquently written, makes excellent use of images, provides careful explanations of the concepts and calculations, and it conveys the author's personality in a way that is rare in scientific writing, while never sacrificing academic rigor. 001463655 588__ $$aDescription based on online resource; title from digital title page (viewed on May 25, 2023). 001463655 650_0 $$aGeneral relativity (Physics) 001463655 655_0 $$aElectronic books. 001463655 77608 $$iPrint version:$$aRamond, Paul$$tThe First Law of Mechanics in General Relativity and Isochrone Orbits in Newtonian Gravity$$dCham : Springer International Publishing AG,c2023$$z9783031179631 001463655 830_0 $$aSpringer theses. 001463655 852__ $$bebk 001463655 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-17964-8$$zOnline Access$$91397441.1 001463655 909CO $$ooai:library.usi.edu:1463655$$pGLOBAL_SET 001463655 980__ $$aBIB 001463655 980__ $$aEBOOK 001463655 982__ $$aEbook 001463655 983__ $$aOnline 001463655 994__ $$a92$$bISE