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Photon space drive

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Hello, another thread had discussed this, and I have been contemplating the idea for a while, whether it would be possible to use photons to propel a spaceship.

I did some calculations to see how it would work and what energy levels we are talking about, and so I'd like if someone who has a little more insight migt review it and tell me whether its completely wrong?

c = 299792458 m/s

[itex]p_{photon} = \frac{E_{photon}}{c}[/itex]

And for the spacecraft (sc)

[itex]p_{sc} = m_{sc}\cdot v_{sc}[/itex]

So for a single photon shot out with a given energy we have

[itex]\frac{E_{photon}}{c} = m_{sc}\cdot Δv_{sc}[/itex]

A lot of photons will give rise to a total energy E and the final velocity

Giving us

[itex]E = m_{sc}Δv_{sc}\cdot c[/itex]

If we have a spacecraft of 500 000 kg and a final velocity of 10.000 m/s we get

E = 1.4990e+18 J = 1.5e+9 GJ

If we say we have a powersource that cna deliver 300 MW to the propulsion system we would have that it would take approximately 58 days to accelerate to this speed, is that correct?

:D

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