AAWSAP DIRD, Advanced Nuclear Propulsion for Manned Deep Space Missions, March 2010
DOW-UAP-D126 · page 12 of 37
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UNCLASSIFIED//P91t 9ffl@IAL YSE &P•tlf Because the 6 charged fusion products are accompanied by 9 electrons, they have to share their kinetic energy with 9 electrons. This reduces the maximum specific impulse by the factor .J(6+9)/6 =m to ~ = 0.95 x 109cm/s. A reduction of the specific impulse does not occur if the electrons have enough time to escape the burning plasma behind the detonation front; that is, in a time shorter than the time for them to be heated by the charged fusion products. The time needed for the electrons to be heated by the charged fusion reaction products can be computed from the range Ao of the charged fusion products and their velocity v in a plasma at the temperature T. For the He4 fusion products, the range is given by (kT) 312 Ao= _a_ . - , a = 2.S x 1034 [cgs] (8) n This time is ' = Ao = a(kT) 312 (9) v nv It then has to be compared with the time the electron can escape the burning plasma behind the detonation front, given by (10) where ro is the rad ius of the burning deuterium cylinder, and ve the electron velocity. One thus has t e,c V nr0 - = --------- T Ve a(kT)312 (11) Putting n = 1023 cm-3, T ~ 108 K with Ve~ 109 cm/s, V~109 cm/s, one finds tescl-r~ 2.5 'o . Therefore, tesc < r requires that 'o < 0.4 cm. To reach the highest specific impulse possible, one should make the deuterium cylinder as thin as possible. Magnetic Entrapment of the Charged Fusion Products and the Stopping of the Proton Beam in Dense Deuterium If a fission bomb is used to trigger a thermonuclear detonation, so much energy is available that almost any radiation implosion configuration is likely going to work. As an example, one may place a fission bomb and a sphere of solid deuterium in a shell of UNCLASSIFIED/fFOR OFFI&I.t.k Y&E 8HLY 6