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James A. Van Allen journal, October 1955-March 1958
Page 107
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By Chapman, total field [sketch/picture/geometric] geometric sketch including [theta?]=colatitude H= (M/(r cubed))(square root of (1 + (3)(cosign squared theta)) H= ((8.06 x (10 exponent 25)) / ((6.37 x (10 exponent 8)) cubed)) (square root of (1 + ((3)(cosign squared)(theta))) H=(0.312)(square root of (1+((3)(cosign squared)(theta)))) ((delta)(H)) / (H) = - (3 delta r) / r = (delta r (km) / (2123)) ---------------------------------------------------------------------- [chart of calculations: with column titles] {1}theta, {2}lambda, (3}H, {4}((delta H)/(delta r) r=(r sub 0), {5}([delta f)/(delta r))}, {6}(delta H)/(r delta) theta)), {7}[no heading] [Col.'s 4 and 5 = Altitude dependence and col.''s 6 and 7 = latitude dependence --------------------------------------------------------------------- { }{ }{ gauss}{ gamma/km}{(c.p.s.)/km}{ gamma/km}{ } { 0}{90}{0.624 -}{29.4 -}{1.25}{ -0}{ 0} {15}{75}{0.608 -}{28.6 -}{1.22}{-1.88}{ } {30}{60}{0.563 -}{26.5 -}{1.13}{-3.52}{ } {45}{45}{0.493 -}{23.2 -}{0.99}{-4.64}{ } {60}{30}{0.413 -}{19.5 -}{0.83}{-4.80}{ } {75}{15}{0.342 -}{16.1 -}{0.69}{-3.35}{ } {90}{ 0}{0.312 -}{14.7 -}{0.63}{ -0}{ 0} latitude dependence ---->
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By Chapman, total field [sketch/picture/geometric] geometric sketch including [theta?]=colatitude H= (M/(r cubed))(square root of (1 + (3)(cosign squared theta)) H= ((8.06 x (10 exponent 25)) / ((6.37 x (10 exponent 8)) cubed)) (square root of (1 + ((3)(cosign squared)(theta))) H=(0.312)(square root of (1+((3)(cosign squared)(theta)))) ((delta)(H)) / (H) = - (3 delta r) / r = (delta r (km) / (2123)) ---------------------------------------------------------------------- [chart of calculations: with column titles] {1}theta, {2}lambda, (3}H, {4}((delta H)/(delta r) r=(r sub 0), {5}([delta f)/(delta r))}, {6}(delta H)/(r delta) theta)), {7}[no heading] [Col.'s 4 and 5 = Altitude dependence and col.''s 6 and 7 = latitude dependence --------------------------------------------------------------------- { }{ }{ gauss}{ gamma/km}{(c.p.s.)/km}{ gamma/km}{ } { 0}{90}{0.624 -}{29.4 -}{1.25}{ -0}{ 0} {15}{75}{0.608 -}{28.6 -}{1.22}{-1.88}{ } {30}{60}{0.563 -}{26.5 -}{1.13}{-3.52}{ } {45}{45}{0.493 -}{23.2 -}{0.99}{-4.64}{ } {60}{30}{0.413 -}{19.5 -}{0.83}{-4.80}{ } {75}{15}{0.342 -}{16.1 -}{0.69}{-3.35}{ } {90}{ 0}{0.312 -}{14.7 -}{0.63}{ -0}{ 0} latitude dependence ---->
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