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EM launch Or We’re out! What now?

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: 1 st cosmic velocity V 1 2 /R= g V 1 =7.9 km/s. E:

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EM launch Or We’re out! What now?

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  1. T. Vuletić, Institute of physics, Zagreb Višnjan S3++ 2011 EM launch Or We’re out! What now?

  2. T. Vuletić, Institute of physics, Zagreb Open day 2010 Space elevator Or How do we get out?

  3. 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

  4. Chemical launch: Newton, Jules Verneet al. Gas expansion V=1-4 km/s : insufficient! there’s also the atmospheric drag...

  5. 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

  6. EM launch: Moon shallow well + there’s no air-drag read... R.A. Heinlein: The Moon is a Harsh Mistress

  7. EM launch: Moon watch... “Moon” by Duncan Jones

  8. 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

  9. EM gun while we’re still here

  10. Eraser, 1996.

  11. force field force How does it work? 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: Electromagnet attracts the feromagnetic projectile!

  12. EM gun solid-state relay capacitors railgun coilgun Coil, 30 turns, 4 layers, 1 mm wire Capacitors, 450V, 8.8mF

  13. RLC circuit Damped harmonic oscillator Solving for the Current: underdamped damping resonant frequency overdamped critically damped

  14. RLC circuit Damped harmonic oscillator Capacitance C=8.8 mF Resistance R=0.3 W InductanceL=?

  15. Inductance Inductance L: Depends on the position of the projectile F= L’·I2 Force: Force maximum occurs where the inductance variation has a maximum Position: Projectile tip - 5 mm inside coil

  16. 1500 Coil current 1000 I (kA) 500 0 15 Projectile acceleration a (x1000 m/s2) 10 5 0 Projectile velocity 30 20 v (m/s) 10 0 4 10 Distance covered by the projectile 10 3 2 10 Coil center s (mm) 1 10 0 10 Coil mouth -1 10 0 1 2 3 4 5 6 10 10 10 10 10 10 10 time (ms) Force, mass... F=ma~I2 v=at a2 s= t2

  17. Current, charge Capacitance C=8.8 mF Resistance R=0.3 W InductanceL=150 mH Voltage U=450 V Charge Q=C·U=4 C Energy E=½C·U2=900 J ~4 Coulombs discharge through the coil ~ kiloAmps in milliseconds!

  18. Velocity 2.5 m 100 msec 20 msec 0.5 m 0 msec V=25m/s V=90km/h 0.0 m

  19. Energy 25 g  Kinetic ~ 12 J Electric ~ 900 J m2 C2 E= v2 E= U2 Diminutive efficiency, kein Schwarzenegger...

  20. 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

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