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024 7 $a10.1007/978-3-031-17964-8
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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 14$aThe First Law of Mechanics in General Relativity & Isochrone Orbits in Newtonian Gravity /$fby Paul Ramond
205   $a1st ed. 2023.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023.
215   $a1 online resource (408 pages)
225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5061
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, Recognizing Outstanding Ph.D. Research,$x2190-5061
606   $aGravitation
606   $aGeneral relativity (Physics)
606   $aAstrophysics
606   $aGravitational Physics
606   $aGeneral Relativity
606   $aNewtonian Physics
606   $aAstrophysics
615  0$aGravitation.
615  0$aGeneral relativity (Physics)
615  0$aAstrophysics.
615 14$aGravitational Physics.
615 24$aGeneral Relativity.
615 24$aNewtonian Physics.
615 24$aAstrophysics.
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996   $aThe First Law of Mechanics in General Relativity & Isochrone Orbits in Newtonian Gravity$94463549
997   $aUNINA