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T. Vuletić, Institute of physics, Zagreb Višnjan S3++ 2011 EM launch Or We’re out! What now? T. Vuletić, Institute of physics, Zagreb Open day 2010 Space elevator Or How do we get out? Earth’s gravity well C,D: 1st cosmic velocity V12/R=g V1=7.9 km/s E: 2nd cosmic velocity V22/2R=g V2=11.2 km/s Chemical launch: Newton , Jules Verne et al. Gas expansion V=1-4 km/s : insufficient! there’s also the atmospheric drag... Moon’s gravity well Moon: 1st cosmic velocity V12/(R/2)=g/6 V1=2.2 km/s 2nd cosmic velocity V22/R=g/6 V2=3.1 km/s EM launch: Moon shallow well + there’s no air-drag read... R.A. Heinlein: The Moon is a Harsh Mistress EM launch: Moon watch... “Moon” by Duncan Jones Logistics orbit: Lagrange points Idea: G.K. O’Neill and his S.S.I. “father” of the particle accelerator read... R.A. Heinlein: The Moon is a Harsh Mistress EM gun while we’re still here Eraser, How does it work? force field Mass Driver: Electromagnets repel or attract and cary the projectile Railgun: Rails are shorted by the projectile – current in this circuit forces the project out Coilgun: force Electromagnet attracts the feromagnetic projectile! EM gun solid-state relay capacitors railgun coilgun Coil, 30 turns, 4 layers, 1 mm wire Capacitors, 450V, 8.8mF RLC circuit Damped harmonic oscillator Solving for the Current: underdamped damping resonant frequency overdamped critically damped RLC circuit Damped harmonic oscillator Capacitance C=8.8 Resistance R=0.3 Inductance L=? mF W Inductance 200 0.05 Inductance L: 0.04 Depends on the position of the projectile 150 0.03 100 0.02 50 Force: 0 0.01 -50 0.00 -100 -0.01 -150 -200 -10 0 10 20 L' (H/m) L (H) 250 F= L’·I2 Force maximum occurs where the inductance variation has a maximum 30 position (mm) Position: Projectile tip 0 10 20 30 position (mm) 40 - 5 mm inside coil 1500 Force, mass... I (kA) Coil current 1000 500 F=ma~I2 a (x1000 m/s2) 0 15 Projectile acceleration 10 5 v=at v (m/s) 0 30 Projectile velocity 20 10 a 2 s= t 2 s (mm) 0 104 103 102 101 100 10-1 Distance covered by the projectile Coil center Coil mouth 100 101 102 103 time (s) 104 105 106 Current, charge Capacitance C=8.8 mF Resistance R=0.3 W Inductance L=150 H Voltage U=450 ~4 Coulombs discharge through the coil V Charge Q=C·U=4 C Energy E=½C·U2=900 J ~ kiloAmps in milliseconds! Velocity 2.5 m 100 msec 20 msec 0.5 m 0 msec V=25m/s V=90km/h 0.0 m Energy 25 g Electric C E= U2 2 ~ 900 J Diminutive efficiency, kein Schwarzenegger... Kinetic m E= v2 2 ~ 12 J EM gun Machine & electronics shop Institute of physics: I. Čičko, B. Kiš, A. Vojnović Thanks: R. Beuc, Đ. Drobac, B.Erjavec, M. Prester, K. Salamon Take a look: www.youtube.com/user/fizika123 coilgun.info www.powerlabs.org audacity.sourceforge.net Keywords: coilgun, railgun, mass driver, EM launch