1966
DOI: 10.1029/jz071i008p01975
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A theory of ball lightning

Abstract: A mathematical theory of ball lightning is presented. Ball lightning is considered to be an externally powered dc phenomenon that results from the funneling of cloud‐to‐ground current through a region of high temperature and high electrical conductivity. An approximate solution of the equations of current conservation and energy conservation with proper boundary conditions yields a luminous region of air. The predicted ball lightning diameters are in good agreement with observation for reasonable values of cur… Show more

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Cited by 18 publications
(5 citation statements)
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References 7 publications
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“…They showed that their model can yield ball-like solutions. A similar theory was presented by Uman and Helstrom (1966). Winterberg (1978) proposed an electrostatic theory of ball lightning.…”
Section: ) Constant Size Brightness and Shape For Extended Timessupporting
confidence: 54%
“…They showed that their model can yield ball-like solutions. A similar theory was presented by Uman and Helstrom (1966). Winterberg (1978) proposed an electrostatic theory of ball lightning.…”
Section: ) Constant Size Brightness and Shape For Extended Timessupporting
confidence: 54%
“…The increase in electric field and current density gives the glow discharge and maintains the ball's conductivity. This basic model, due to Finkelstein and Rubinstein (1964) has been investigated in a quantitative way (an unusual exercise for ball lightning theories) by Uman and Helstrom (1966) who showed that a ball of plausible characteristics could be produced. Further refinements in the basic theory have been made by Powell and Finkelstein (1970).…”
Section: Objective Evidencementioning
confidence: 99%
“…However, a sufficient number of accounts (usually given by untrained observers) has provoked some workers to speculate upon the nature of the phenomenon. For a recent comprehensive documentation of ball-lightning reports the reader can refer to Dewan (1964), Rand McNally (1966), or Rayle (1966 and for accounts of ball-lightning theories refer to Finkelstein and Rubinstein (1964), Silberg (1965), and Uman and Helstrom (1966).…”
Section: The Phenomenon Of Ball Lightningmentioning
confidence: 99%
“…No single mode will give uniform radiation pressure over a spherical surface, neither have any coupled mode configurations yet been found that will satisfy this requirement. Uman (1969), using calculations of Uman and Helstrom (1966), has shown that the rate of cooling of a lightning channel is a sensitive function of its radius (approximately proportional to Y-". Further calculations, assuming spherical rather than 50 C. D. Stow cylindrical volumes of air, showed a similar behaviour.…”
Section: The Phenomenon Of Ball Lightningmentioning
confidence: 99%