3 ms·
What about ion engines? I'm extremely not sure I have this math right but NEXT claims 4190 second ISP [0]. Plugging that into the rocket equation I get: iss_
by skorgu 10y ago
What about ion engines? I'm extremely not sure I have this math right but NEXT claims 4190 second ISP [0]. Plugging that into the rocket equation I get:
iss_mass = 419600
sep_isp = 4190
delta_v = 5748
htv_payload = 3310
falcon_launch_cost = 62000000
total_mass = iss_mass * math.exp(delta_v / (9.8 * sep_isp))
fuel_load = total_mass - iss_mass
dragon_launches = math.floor(fuel_load / htv_payload)
total_cost = dragon_launches * falcon_launch_cost
I get:
Total vehicle mass: 482,646.89 kg
Fuel to add: 63,046.89 kg
Dragon 2 launches: 19
Total cost: $1,178,000,000.00
Not what you'd call cheap but at least in the realm of the possible. I'm assuming the ISS' solar panels (~120 kW [1]) is sufficient to power the thruster, that a dragon launch costs no more than a falcon launch (certainly false), and that the ion engine is already on board the station.
[0] https://en.wikipedia.org/wiki/NEXT_(ion_thruster)
[1] https://en.wikipedia.org/wiki/Electrical_system_of_the_International_Space_Station
- dalke 10y agoIf there's only one engine then that's 236 mN thrust according to your [1]. Lets call it 4.12 N - put a few thrusters on or improve the technology. The station mass is 419,455 kg. F = ma so the acceleration is 1 µ G. It will take a very long time to get to Mars that way.
- skorgu 10y agoAbout 18 years assuming I'm using the right formula: http://www.wolframalpha.com/input/?i=acceleration+formula&rawformassumption=%7B%22FS%22%7D+-%3E+%7B%7B%22SpeedAccelerationTime%22,+%22t%22%7D%7D&rawformassumption=%7B%22F%22,+%22SpeedAccelerationTime%22,+%22a%22%7D+-%3E%229.822E-6+m%2Fs%5E2%22&rawformassumption=%7B%22F%22,+%22SpeedAccelerationTime%22,+%22v%22%7D+-%3E%225748+m%2Fs%22 http://www.wolframalpha.com/input/?i=acceleration+formula&ra...