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James A. Van Allen journal, October 1955-March 1958
Page 5
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[chart of calculations of:] {delta} {1+(3/2)(delta / (R sub 0))} {T} ---------------------------------------------------- {0 Km} {1.0000} {84.4 min} {100 Km} {1.0235} {86.4 min} {200 Km} {1.0470} {88.4 min} {300 Km} {1.0706} {90.4 min} {400 Km} {1.0941} {92.3 min} {500 Km} {[1.11760 corrected to] 1.1176} {[99.3 corrected to] 94.3 min *} {1000 Km} {1.2352} {104.3 min *} {1500 Km} {1.3528} {114.2 min *} {2000 Km} {1.4704} {124.1 min *} * approximation poor, values too low Higher approximation: T = (2pi)(square root of ((R sub 0)/(g sub 0)))(1+((3/2)(delta/(R sub 0)))+((3/8)((delta/(R sub 0))squared))..).. {2000 Km} {1.5073} {127.2 min}
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[chart of calculations of:] {delta} {1+(3/2)(delta / (R sub 0))} {T} ---------------------------------------------------- {0 Km} {1.0000} {84.4 min} {100 Km} {1.0235} {86.4 min} {200 Km} {1.0470} {88.4 min} {300 Km} {1.0706} {90.4 min} {400 Km} {1.0941} {92.3 min} {500 Km} {[1.11760 corrected to] 1.1176} {[99.3 corrected to] 94.3 min *} {1000 Km} {1.2352} {104.3 min *} {1500 Km} {1.3528} {114.2 min *} {2000 Km} {1.4704} {124.1 min *} * approximation poor, values too low Higher approximation: T = (2pi)(square root of ((R sub 0)/(g sub 0)))(1+((3/2)(delta/(R sub 0)))+((3/8)((delta/(R sub 0))squared))..).. {2000 Km} {1.5073} {127.2 min}
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