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-   -   [Spaceships] Designers' Championship I: ground to LEO (https://forums.sjgames.com/showthread.php?t=34677)

joelbf 01-09-2008 03:03 AM

Re: [Spaceships] Designers' Championship I: ground to LEO
 
Quote:

Originally Posted by thtraveller
But it takes a lot longer so you need a lot more fuel. You have gravity pulling down on you the whole time. Worst case is you subtract 1G from your thrust and discount all the delta-V from the fuel that 1G of engine uses for the time it takes you to reach orbit.

Note: I know nothing of actual spaceflight.

While it's neither in RAW nor ground-rules, it seems reasonable to somehow subtract (some factor of) planetary gravity at least when comparing launch-times. But 2G (3-1) is just four times higher than 0,5G (1,5-1) which should make a 1,5G thrust ship viable, shouldn't take more than 6x4=24 minutes, still not that high.

joelbf 01-09-2008 03:11 AM

Re: [Spaceships] Designers' Championship I: ground to LEO
 
Quote:

Originally Posted by elustran
Think of it this way - if you have a 1.5 G engine, you're only accelerating at .5G, but still burning 1.5 G of fuel. You can improve efficiency by angling your engine, giving you a maximum of 1G of vertical thrust to cancel out gravity and 1.12G of horizontal acceleration with 1.5 G thrusters, but your dV to LEO would be pretty compromised with only about 75% fuel efficiency... in other words, you'd need to burn about 30% more dV than your orbital velocity. With 3G of acceleration angled properly, you can have 2.83G of horizontal acceleration while canceling out gravity, for an efficiency of 94% - you'd only be burning about 6% more dV than your orbital velocity. Of course, considerations are a little more complicated because you still need to get out of atmo and you suffer from atmospheric drag, but those complications are greatly reduced with jets or ram-rockets to bring you to the top of the atmosphere.

While I can't say anything about if your right or not, I can say it's neither in RAW nor in the ground-rules.

Quote:

As far as powering jets with hydrogen, a lot of scramjet designs burn H, and I imagine hydrogen will be a more common fuel in a hydrocarbon poor future than standard Jet-A.
In spaceships there is no scramjets. You may be perfectly right, but in the contest of the competition it wouldn't be fair to switch jet-fuel for 4K a pop with hydrogen for 2K.

This brings me to my conclusion. The ground-rules need updating. More precise rules for calculating fuel-consumption with/without wings, ram-jets and variable thrust. If there is a ~20-25% increase in fuel-efficiency if you increase thrust from 1,5G to 3G, as your numbers indicate, we need some way of actually calculating that.

Arazael 01-09-2008 05:38 AM

Re: [Spaceships] Designers' Championship I: ground to LEO
 
Quote:

Originally Posted by Boobis
Note: I know nothing of actual spaceflight.

While it's neither in RAW nor ground-rules, it seems reasonable to somehow subtract (some factor of) planetary gravity at least when comparing launch-times. But 2G (3-1) is just four times higher than 0,5G (1,5-1) which should make a 1,5G thrust ship viable, shouldn't take more than 6x4=24 minutes, still not that high.

It seems reasonable, but is a flawed reading of the principles. Delta-V is the change in velocity produced by an engine. There is a minimum dV needed to reach a given orbit, or escape a planet altogether. This is the integral or sum of the change in velocity from ground to orbit. The rate at which this change in velocity is achieved is irrelevant, the dV is the same. The dV of an engine is an integral of the change in velocity produced by the thrust, that is the sum of thrust over all the burn time. This is why GURPS Spaceships doesn't talk about the effects of increased acceleration on fuel efficiency in planetary lift-off. As long as you have enough thrust to overcome gravity, its the total Delta-V that counts, and has to be greater than the dV needed to reach orbit.

Quote:

To reach low orbit around a celestial body and then break
orbit, escaping its pull of gravity, requires a delta-V equal to
escape velocity.
For comparison, note that a craft with wings or contragrav and only 0.1G acceleration would be able to achieve orbit, given enough dV and patience.

Arazael 01-09-2008 05:52 AM

Re: [Spaceships] Designers' Championship I: ground to LEO
 
Quote:

Originally Posted by thtraveller
But it takes a lot longer so you need a lot more fuel. You have gravity pulling down on you the whole time. Worst case is you subtract 1G from your thrust and discount all the delta-V from the fuel that 1G of engine uses for the time it takes you to reach orbit.

This is fundamentally misunderstanding the mathematics. Ignoring the effects of wings, the total dV needed to reach orbit is a function of gravity. The design of your craft has no effect at all on the dV needed. If your passengers are patient, 1.1G and plenty of dV is far better than 3G and barely enough dV. Because of the way velocity changes aggregate, the rate of change of velocity does not affect the gravitational effects that have to be overcome. For the same dV, more thrust means that you lose the same amount of gravity (gravitational potential energy) faster. It doesn't mean less gravity (gravitational potential energy).

SuperGamera 01-09-2008 08:54 AM

Re: [Spaceships] Designers' Championship I: ground to LEO
 
Could someone take a look at this draft, for a TL 10 antimatter thermal lighter? All costs are in thousands:

Front
1 Armor (AML/SL) $60 dDR 3
2 Passenger (2) $10
3 Passenger (2) $10
4 Passenger (2) $10
5 Passenger (2) $10
6 Passenger (2) $10
0 Control Room $60

Central
1 AC Hydrogen Fuel $10
2 AC Hydrogen Fuel $10
3 AC Hydrogen Fuel $10
4 Armor (AML/SL) $60 dDR 3
5 Passenger (2) $10
6 Passenger (2) $10
0 Passenger (2) $10

Rear
1 ATR Ram-Rocket $750
2 ATR Ram-Rocket $750
3 ATR Ram-Rocket $750
4 ATR Ram-Rocket $750
5 ATR Ram-Rocket $750
6 ATR Ram-Rocket $750

Winged $150

Thrust 1.2 G SM 5
Air Speed 2739 mph dST/dHP 20
0.76 mps Hnd 4/0
Orbit DV 4.6 mps SR 5/4
Fuel DV 3.84 mps HT 12
Fuel Cost $16.67 $/mps TL 10
Fuel to Orbit $63.99 Loaded Wgt 30 tons
Time to Orbit 10.35 Length 45 ft
Cost $4,940

VC Per Trip Fixed Annual
Op Ins $0.74 Ins $49.4
Service $0.45 Crew $537.6
Fuel $63.99 Dep+ROC $444.6
Total $65.18 Total $1,031.6

Flights/Year 2400
Passengers 12 /trip
28800 /year
Total Costs $157,468
Cost/Passenger $5.47

Agemegos 01-09-2008 08:59 AM

Re: [Spaceships] Designers' Championship I: ground to LEO
 
<deleted>

I'm sorry, that was uncalled-for.

Arazael 01-09-2008 09:26 AM

Re: [Spaceships] Designers' Championship I: ground to LEO
 
Quote:

Originally Posted by Agemegos
You fail to take into account that fuel us used up supporting the craft against gravity during the time it takes to achieve orbital velocity. That proportion of thrust which merely supports the vehicle uses up fuel, but does not produce a change in its velocity nor an increase in its gravitational potential. The quicker you get to orbital speed, the less fuel this costs.

According to my copy of Space Propulsion Analysis and Design (p.67), these 'gravity losses' use up the potentila for of 1150 m/s of delta-v in the launch of a Delta 7925, 1.222 m/s of potential delta-v in the launch of a Space Shuttle, and 1,576 m/sec in the case of an Ariane A-44L. The mathematical treatment is in section 2.6.2 "Velocity Budget to Low-Earth Orbit (LEO)". It is equal, according to the book, to the integral from ignition to burn-out of (the acceleration due to gravity locally, times the sine of the flight-path angle (from horizontal to the velocity vector) dt.

Notice that if you go straight up the flight path angle is zero, the sine of which is also zero. Then your losses are zero, irrespective of your acceleration. In other words, this is energy used to accelerate your craft horizontally, not energy used to "fight" gravity. The gravitational potential energy of an object in orbit is the same regardless of how it got there. All other things being equal, all you need to give your orbiter is that much energy. Real life is undoubtedly never quite that simple.

Anthony 01-09-2008 12:32 PM

Re: [Spaceships] Designers' Championship I: ground to LEO
 
Quote:

Originally Posted by Arazael
Notice that if you go straight up the flight path angle is zero, the sine of which is also zero. Then your losses are zero, irrespective of your acceleration.

If you go straight up, your flight path angle is 90 (it's measured from horizontal), and your losses are maximized.

elustran 01-09-2008 01:00 PM

Re: [Spaceships] Designers' Championship I: ground to LEO
 
Well, if you really want to mess with things, I'm sure we can integrate over the path of the rocket, factoring in losses due to gravity at a given height, losses due to atmospheric drag dependent on speed, latitude, and altitude, and variations depending on the latitude and direction of launch. It would be a good exercise in whether or not I can still calculate an integral that complex, but, we can probably just forget about atmospheric drag if pretty much every design uses a ram-rocket or jet component, and estimating losses due to gravity for LEO insertion is pretty simple too.

I've had another thought too - I'm not sure if it's occurred to anybody to take passenger comfort into account - most people don't appreciate being accelerated at rates approaching 3G for an extended period of time. For example, you don't want to have to resuscitate Grandma on her way to visit her son who's working in Luna-3 Colony. It might be that a slower, though lossier lighter is preferable to a faster one.

thtraveller 01-09-2008 02:10 PM

Re: [Spaceships] Designers' Championship I: ground to LEO
 
Quote:

Originally Posted by Boobis
Wouldn't they operate 50 years on internal fuel like the TL9 fission powerplants?

I hadn't spotted that. I was taking my figures from VE2/Vx1, but that also has fission reactors requiring a 2 year refuel cycle. So I guess my original figures stand.


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