LEADER 03228nam 2200481 450 001 9910720076703321 005 20230801215625.0 010 $a9783031179648$b(electronic bk.) 010 $z9783031179631 024 7 $a10.1007/978-3-031-17964-8 035 $a(MiAaPQ)EBC7243523 035 $a(Au-PeEL)EBL7243523 035 $a(DE-He213)978-3-031-17964-8 035 $a(OCoLC)1378937198 035 $a(PPN)269656758 035 $a(EXLCZ)9926552098700041 100 $a20230801d2023 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe First Law of Mechanics in General Relativity and Isochrone Orbits in Newtonian Gravity /$fPaul Ramond 205 $aFirst edition. 210 1$aCham, Switzerland :$cSpringer,$d[2023] 210 4$dİ2023 215 $a1 online resource (408 pages) 225 1 $aSpringer Theses Series 311 08$aPrint version: Ramond, Paul The First Law of Mechanics in General Relativity and Isochrone Orbits in Newtonian Gravity Cham : Springer International Publishing AG,c2023 9783031179631 320 $aIncludes bibliographical references. 327 $aGravitational Theory -- Multipolar Particles -- Helical Isometry -- First Laws of Mechanics -- The First Law at Dipolar Order. 330 $aThe thesis tackles two distinct problems of great interest in gravitational mechanics ? one relativistic and one Newtonian. The relativistic one is concerned with the "first law of binary mechanics", a remarkably simple variational relation that plays a crucial role in the modern understanding of the gravitational two-body problem, thereby contributing to the effort to detect gravitational-wave signals from binary systems of black holes and neutron stars. The work reported in the thesis provides a mathematically elegant extension of previous results to compact objects that carry spin angular momentum and quadrupolar deformations, which more accurately represent astrophysical bodies than mere point particles. The Newtonian problem is concerned with the isochrone problem of celestial mechanics, namely the determination of the set of radial potentials whose bounded orbits have a radial period independent of the angular momentum. The thesis solves this problem completely in a geometrical way and explores its consequence on a variety of levels, in particular with a complete characterisation of isochrone orbits. The thesis is exceptional in the breadth of its scope and achievements. It is clearly and eloquently written, makes excellent use of images, provides careful explanations of the concepts and calculations, and it conveys the author?s personality in a way that is rare in scientific writing, while never sacrificing academic rigor. 410 0$aSpringer theses. 606 $aGeneral relativity (Physics) 615 0$aGeneral relativity (Physics) 676 $a530.11 700 $aRamond$b Paul$01355781 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910720076703321 996 $aThe First Law of Mechanics in General Relativity and Isochrone Orbits in Newtonian Gravity$93418274 997 $aUNINA