Izvestiya, Atmospheric and Oceanic Physics

, Volume 54, Issue 6, pp 536–541 | Cite as

Generation of the Vortex Movement in the Atmosphere due to Gravity Inhomogeneities

  • L. Kh. IngelEmail author
  • A. A. Makosko


One possible mechanism for the effect of gravity-field inhomogeneities (GFIs) on the atmosphere dynamics has been investigated theoretically. It is shown that the vertical heat exchange in an air layer in an inhomogeneous gravity field can disrupt the state of hydrostatic equilibrium and lead to the generation of vortex flows. Estimates of the amplitude of velocity perturbations are made on the basis of a linear stationary hydrodynamic model that takes planetary rotation into account. The magnitude of the vortex component of the velocity can reach values on the order of the product of the buoyancy frequency and amplitude of the geoid deviations. The amplitude of the emerging vertical motions, in addition to the parameters mentioned, also depends on the intensity of the turbulent exchange and horizontal scales of the inhomogeneities.


gravity-field inhomogeneity atmosphere dynamics turbulent exchange linear disturbances vortex flows analytical model 



We thank M.V. Kurganskii for stimulating discussions.

This study was supported by Program 51 of the Fundamental Research of the Presidium of the Russian Academy of Sciences.


  1. 1.
    L. Kh. Ingel’ and A. A. Makosko, “Geostrophic flow disturbances generated by inhomogeneities of the gravitational field,” Izv., Atmos. Ocean. Phys. 53 (5), 508–515 (2017).CrossRefGoogle Scholar
  2. 2.
    L. Kh. Ingel’ and A. A. Makosko, “On one mechanism of gravity field inhomogeneities influence on atmosphere dynamics,” Tech. Phys. 62 (9) 1322–1326 (2017).CrossRefGoogle Scholar
  3. 3.
    N. E. Kochin, “Change in temperature and pressure with height in the free atmosphere,” in Collection of Works, Vol. 1 (AN SSSR, Moscow–Leningrad, 1949), pp. 530–591.Google Scholar
  4. 4.
    A. Gill, Atmosphere–Ocean Dynamics, Vol. 1 (Academic, London, 1982; Mir, Moscow, 1986).Google Scholar
  5. 5.
    N. P. Grushinskii, Basics of Gravimetry (Nauka, Moscow, 1983) [in Russian].Google Scholar
  6. 6.
    J. Pedlosky, Geophysical Fluid Dynamics (Springer, New York, 1979; Mir, Moscow, 1984).Google Scholar
  7. 7.
    A. A. Makosko and M. I. Yaroshevich, “Estimates for regression relationships between characteristics of tropical cyclones and gravity anomalies,” Izv., Atmos. Ocean. Phys. 52 (3), 234–238 (2016).CrossRefGoogle Scholar
  8. 8.
    M. I. Yaroshevich, “Investigation of possible effect of gravitational field inhomogeneities on tropical cyclones,” Trop. Cyclone Res. Rev. 2 (2), 124–130 (2013).Google Scholar
  9. 9.
    A. Kh. Khrgian, Physics of the Atmosphere (MGU, Moscow, 1986) [in Russian].Google Scholar
  10. 10.
    A. A. Makosko, K. G. Rubinshtein, V. M. Losev, and E. A. Boyarskii, Mathematical Modeling of the Atmosphere in the Nonuniform Gravitational Field (Nauka, Moscow, 2007) [in Russian].Google Scholar
  11. 11.
    A. A. Makosko and K. G. Rubinshtein, “Study of a helical Asian monsoon based on reanalysis of data and the results of numerical modeling of atmospheric circulation with account for the Inhomogeneous Gravity Force,” Dokl. Earth Sci. 459 (2), 1451–1456 (2014).CrossRefGoogle Scholar

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© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Research and Production Association “Typhoon”ObninskRussia
  2. 2.Obukhov Institute of Atmospheric Physics, Russian Academy of SciencesMoscowRussia
  3. 3.Interdepartment Center of Analytical Research in Physics, Chemistry, and Biology at the Presidium of the Russian Academy of SciencesMoscowRussia

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