Summary
By analogy with the calculation from data of angular momentum flow across latitude surfaces in the earth's atmosphere, the corresponding calculation is proposed for the case of our galaxy and possibly other spiral nebulae. A cylindrical wall of constant radius is used to replace the latitude wall, and the subject is developed through consideration of an ideal model. Gravitational torques enter the problem in addition to advective effects and possible other torques in actual systems. The relation of gravitational torques to the structure of ordinary spirals is discussed, and certain more special effects for the case of barred spirals are introduced and discussed. The connection of the subject with the classical theory of tidal evolution is pointed out.
Zusammenfassung
Analog mit der Berechnung von Daten des Flusses des Momentes der Bewegungsgrösse über Breiten-Oberflächen in der Erd-Atmosphäre wird eine korrespondierende Berechnung für den Fall unseres Sternsystems und eventuell anderer spiraler Himmelskörper vorgeschlagen. Eine zylindrische Wand mit konstantem Radius wird benutzt, um die Breitenwand zu ersetzen, und dieses Problem wird entwickelt durch die Betrachtung eines idealen Modelles. Drehmomente der Schwerkraft kommen bei diesen Problem hinzu, zusätzlich der Wirkungen von Advektion und in aller Wahrscheinlichkeit anderer Drehmomente in den vorhandenen Systemen. Die Beziehung der Drehmomente der Schwerkraft in Bezug auf gewöhnliche Spiralen ist besprochen, und gewisse mehr spezialisierte Wirkungen für den Fall von Stangen-Spiralen werden eingeführt und besprochen. Der Zusammenhang dieses Problems mit der klassischen Theorie von Drehmomenten der Gezeiten ist nachgewiesen.
Sommario
In analogia ai calcoli che, partendo da dati sperimentali, vengono fatti sul trasferimento del momento angolare fra zone dell'atmosfera a diverse latitudini, vengono qui proposti corrispondenti calcoli per la nostra galassia e possibilmente per altre nebulose a spirale. Viene usata una superficie cilindrica a raggio costante in sostituzione della superficie conica a latitudine costante; l'argomento è sviluppato secondo un modello ideale. La coppia gravitazionale viene presa in considerazione insieme agli effetti convettivi e ad altre possibili coppie. Viene discussa la relazione fra la coppia gravitazionale e la struttura di una spirale ordinaria; sono quindi introdotti e discussi certi effetti nel caso di spirali a sbarra. Infine viene messo in luce la relazione del presente argomento con la teoria classica della coppia dovuta alle marce.
Similar content being viewed by others
References
Darwin G. H.:The tides and kindred phenomena in the solar system. Houghton Mifflin and Co., Boston and New York, 378 p. (1898).
Jeffeys H.:On the dynamics of geostrophic winds. Q. J. Roy, Met. Soc., 52, pp. 85–104 (1926).
Lamb H.:Hydrodynamics. 6th ed., Cambridge Univ. Press, 738 p. (1932).
Lindblad B.:On the evolution of stellar systems. Vistas of Astronomy, ed. Arthur Beer, Pergamon Press, New York, 2, pp. 1711–1721, (1956).
Maxwell J. C.:Matter and motion, Reprinted Dover Publications, New York, 163 p. (1877).
Oort J. H., F. J. Keer &G. Westerhout:The galactic system as a spiral nebula. Monthly Notices Roy. Ast. Soc., 118, pp. 379–389 (1958).
Oort J. H. & G. W. Rougoor:Distribution and motion of interstellar hydrogen in the galactic system with particular reference to the region within 3 kiloparsecs of the center. Symposium on Radio Astronomy, National Academy of Sciences, Indiana Univ., Bloomington, Nov. 17 (1959).
Reynolds O.:On the dynamical theory of incompressible viscous fluid and the determination of the criterion. Phil. Trans. Roy Soc. London (A), 186, pp. 123–164 (1895).
Starr V. P.:A quasi-Lagrangian system of hydrodynamical equations. J. Meteor., 2, pp. 227–237 (1945).
Starr V. P.:Note concerning the nature of the large-scale eddies in the atmosphere. Tellus, 5, pp. 494–498 (1953).
Starr V. P.:Commentaries concerning research on the general circulation. Tellus, 6, pp. 278–272 (1954).
Starr V. P.:Hydrodynamical red-shift phenomena in geophysics. Geopfisica pura e appl., 48, pp. 109–123 (1961).
Starr V. P. &R. M. White:A hemispherical study of the atmospheric angular momentum balance. Q. J. Roy. Met. Soc., 77, pp. 215–225 (1951).
Webster T. F.:The kinetic energy balance of Gulf Stream meanders. Tellus (in press 1961).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Starr, V.P., Peixoto, J.P. Certain basic atmospheric processes and their counterparts in celestial mechanics. Geofisica Pura e Applicata 51, 171–183 (1962). https://doi.org/10.1007/BF01992659
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01992659