Matches in SemOpenAlex for { <https://semopenalex.org/work/W2904778108> ?p ?o ?g. }
- W2904778108 endingPage "4469" @default.
- W2904778108 startingPage "4453" @default.
- W2904778108 abstract "We show that the ideal hydrodynamics of an eccentric astrophysical disc can be derived from a variational principle. The non-linear secular theory describes the slow evolution of a continuous set of nested elliptical orbits as a result of the pressure in a thin disc. In the artificial but widely considered case of a 2D disc, the hydrodynamic Hamiltonian is just the orbit-averaged internal energy of the disc, which can be determined from its eccentricity distribution using the geometry of the elliptical orbits. In the realistic case of a 3D disc, the Hamiltonian needs to be modified to take into account the dynamical vertical structure of the disc. The simplest solutions of the theory are uniformly precessing non-linear eccentric modes, which make the energy stationary subject to the angular momentum being fixed. We present numerical examples of non-linear eccentric modes up to their limiting amplitudes. Although it lacks dissipation, which is important in many astrophysical contexts, this formalism allows a simpler theoretical approach to the non-linear dynamics of eccentric discs than that derived from stress integrals, and also connects better with established methods of celestial mechanics for cases in which the disc interacts gravitationally with one or more orbital companion." @default.
- W2904778108 created "2018-12-22" @default.
- W2904778108 creator A5058393985 @default.
- W2904778108 creator A5085044320 @default.
- W2904778108 date "2018-12-29" @default.
- W2904778108 modified "2023-10-16" @default.
- W2904778108 title "Hamiltonian hydrodynamics of eccentric discs" @default.
- W2904778108 cites W1866782783 @default.
- W2904778108 cites W1966959396 @default.
- W2904778108 cites W1980455642 @default.
- W2904778108 cites W1981502307 @default.
- W2904778108 cites W2001261257 @default.
- W2904778108 cites W2026640629 @default.
- W2904778108 cites W2036801811 @default.
- W2904778108 cites W2045992203 @default.
- W2904778108 cites W2050476337 @default.
- W2904778108 cites W2055895053 @default.
- W2904778108 cites W2060191906 @default.
- W2904778108 cites W2061482475 @default.
- W2904778108 cites W2062550440 @default.
- W2904778108 cites W2111783528 @default.
- W2904778108 cites W2117246160 @default.
- W2904778108 cites W2120189962 @default.
- W2904778108 cites W2122787550 @default.
- W2904778108 cites W2160065040 @default.
- W2904778108 cites W2167989517 @default.
- W2904778108 cites W2291885237 @default.
- W2904778108 cites W2293969975 @default.
- W2904778108 cites W2302303369 @default.
- W2904778108 cites W2495894137 @default.
- W2904778108 cites W2520933557 @default.
- W2904778108 cites W2545066142 @default.
- W2904778108 cites W2588086126 @default.
- W2904778108 cites W2608567308 @default.
- W2904778108 cites W2772692867 @default.
- W2904778108 cites W2884969860 @default.
- W2904778108 cites W3099510455 @default.
- W2904778108 cites W3099520135 @default.
- W2904778108 cites W3100241463 @default.
- W2904778108 cites W3100396514 @default.
- W2904778108 cites W3102288650 @default.
- W2904778108 cites W3102523562 @default.
- W2904778108 cites W3103459836 @default.
- W2904778108 cites W3104796318 @default.
- W2904778108 cites W3105583981 @default.
- W2904778108 cites W3105806537 @default.
- W2904778108 cites W3106054674 @default.
- W2904778108 cites W3106133864 @default.
- W2904778108 doi "https://doi.org/10.1093/mnras/sty3436" @default.
- W2904778108 hasPublicationYear "2018" @default.
- W2904778108 type Work @default.
- W2904778108 sameAs 2904778108 @default.
- W2904778108 citedByCount "13" @default.
- W2904778108 countsByYear W29047781082019 @default.
- W2904778108 countsByYear W29047781082020 @default.
- W2904778108 countsByYear W29047781082021 @default.
- W2904778108 countsByYear W29047781082022 @default.
- W2904778108 crossrefType "journal-article" @default.
- W2904778108 hasAuthorship W2904778108A5058393985 @default.
- W2904778108 hasAuthorship W2904778108A5085044320 @default.
- W2904778108 hasBestOaLocation W29047781082 @default.
- W2904778108 hasConcept C121332964 @default.
- W2904778108 hasConcept C121770821 @default.
- W2904778108 hasConcept C125311221 @default.
- W2904778108 hasConcept C126255220 @default.
- W2904778108 hasConcept C1276947 @default.
- W2904778108 hasConcept C130787639 @default.
- W2904778108 hasConcept C135402231 @default.
- W2904778108 hasConcept C155675718 @default.
- W2904778108 hasConcept C173990265 @default.
- W2904778108 hasConcept C17744445 @default.
- W2904778108 hasConcept C190538878 @default.
- W2904778108 hasConcept C19269812 @default.
- W2904778108 hasConcept C199539241 @default.
- W2904778108 hasConcept C27638517 @default.
- W2904778108 hasConcept C33923547 @default.
- W2904778108 hasConcept C44870925 @default.
- W2904778108 hasConcept C51244244 @default.
- W2904778108 hasConcept C57879066 @default.
- W2904778108 hasConcept C62520636 @default.
- W2904778108 hasConcept C6629501 @default.
- W2904778108 hasConcept C74650414 @default.
- W2904778108 hasConceptScore W2904778108C121332964 @default.
- W2904778108 hasConceptScore W2904778108C121770821 @default.
- W2904778108 hasConceptScore W2904778108C125311221 @default.
- W2904778108 hasConceptScore W2904778108C126255220 @default.
- W2904778108 hasConceptScore W2904778108C1276947 @default.
- W2904778108 hasConceptScore W2904778108C130787639 @default.
- W2904778108 hasConceptScore W2904778108C135402231 @default.
- W2904778108 hasConceptScore W2904778108C155675718 @default.
- W2904778108 hasConceptScore W2904778108C173990265 @default.
- W2904778108 hasConceptScore W2904778108C17744445 @default.
- W2904778108 hasConceptScore W2904778108C190538878 @default.
- W2904778108 hasConceptScore W2904778108C19269812 @default.
- W2904778108 hasConceptScore W2904778108C199539241 @default.
- W2904778108 hasConceptScore W2904778108C27638517 @default.
- W2904778108 hasConceptScore W2904778108C33923547 @default.
- W2904778108 hasConceptScore W2904778108C44870925 @default.