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James A. Van Allen journal, October 1955-March 1958
Page 78
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P = (2/3) (w sub 0) ((e squared) / (R)) (beta cubed) ((E / ((m sub 0) (c squared))) exponent 4) = (2/3) (((e squared) / ((m sub 0) (c squared))) squared) (c) (H squared) (gamma squared) -------------------------------------------------------- P = (1.59 x (10 exponent -15)) (H squared) (gamma squared) [checkmark here] -------------------------------------------------------- Hoyles main point: Knowing energy spectrum of electron one may calculate spectrum of radio frequency (cosmic noise) of radiated electromagnetic radiation. Assume alpha [N? v?] = (alpha [gamma?]) / (gamma cubed) diff. spectrum of [electron?] Each electron radiates at rate ~ (gamma squared) Power spectrum ~ ((d)(gamma)) / [gamma? v?] = ((d)([gamma? v?])) / [gamma? v?] = (d) (P)
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P = (2/3) (w sub 0) ((e squared) / (R)) (beta cubed) ((E / ((m sub 0) (c squared))) exponent 4) = (2/3) (((e squared) / ((m sub 0) (c squared))) squared) (c) (H squared) (gamma squared) -------------------------------------------------------- P = (1.59 x (10 exponent -15)) (H squared) (gamma squared) [checkmark here] -------------------------------------------------------- Hoyles main point: Knowing energy spectrum of electron one may calculate spectrum of radio frequency (cosmic noise) of radiated electromagnetic radiation. Assume alpha [N? v?] = (alpha [gamma?]) / (gamma cubed) diff. spectrum of [electron?] Each electron radiates at rate ~ (gamma squared) Power spectrum ~ ((d)(gamma)) / [gamma? v?] = ((d)([gamma? v?])) / [gamma? v?] = (d) (P)
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