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James A. Van Allen journal, October 1955-March 1958

Page 74

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Radiation from a relativistic electron moving in a circle in a magnetic field B. ------------------------------------------- Fred Hoyle Nature 173, pages 483-484 (1954) predominant frequency: nu = 4.19 x (10 exponent 6) ( B ) (gamma squared) cycles per second gamma = (1) / (square root of(1-((nu squared)/(c squared)))) , B gauss. Power: ______ P = (1.58 x (10 exponent -15)) ( B squared) (gamma squared) ergs/second Appreciable fraction of energy radiated in [T? tau?] ~ (5 x (10 exponent 8)) ( B exponent -2) (gamma exponent -1) seconds.
 
Van Allen Papers