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James Van Allen journal, 1951?-December 1954

Page 67

Number of primaries through sphere of unit cross-section at top of atmosphere

(2 pi)(0.045) = 0.283 / (cm exponent 2) second

(pi)(r exponent 2) = 1

r = (square root of (1/pi))

Volume = ((4/3) (pi) (r exponent 3)) = (0.755 (cm exponent 3))
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Number of stars expected at top of atmosphere

= 0.283/28 = (2(pi)j)/lambda = (0.0101 / (cm exponent 3) second)

observed:

0.00256 / ((cm exponent 3) second)

therefore,   observed / expected =  0.25
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Some good books to own:

  J. H. Jeans "The Dynamical Theory of Gases"
Cambridge 4th Edition (1925)
-----------------------------------------------------------------
L. [I? J?]. Schiff "Quantum Mechanics"
MacGraw Hill Book Company, New Jersey, 1st Edition (1949)
---------------------------------------------------------------
E. H. Kennard "Kinetic Theory of Gases"
McGraw Hill (1938)

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Number of primaries through sphere of unit cross-section at top of atmosphere (2 pi)(0.045) = 0.283 / (cm exponent 2) second (pi)(r exponent 2) = 1 r = (square root of (1/pi)) Volume = ((4/3) (pi) (r exponent 3)) = (0.755 (cm exponent 3)) ------------------------------------------------------------------------ Number of stars expected at top of atmosphere = 0.283/28 = (2(pi)j)/lambda = (0.0101 / (cm exponent 3) second) observed: 0.00256 / ((cm exponent 3) second) therefore, observed / expected = 0.25 -------------------------------------------------------------- Some good books to own: J. H. Jeans "The Dynamical Theory of Gases" Cambridge 4th Edition (1925) ----------------------------------------------------------------- L. [I? J?]. Schiff "Quantum Mechanics" MacGraw Hill Book Company, New Jersey, 1st Edition (1949) --------------------------------------------------------------- E. H. Kennard "Kinetic Theory of Gases" McGraw Hill (1938)