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I really am getting old. Divided when I should have multiplied! Sorry.
Falcon Heavy: $800-1000/lb = $1760-2200/kg for 53 metric tons
Atlas-5 5xx series: about $2500/lb = $5510/kg
Still about factor 2.5 apart. Same basic message. The size of the logistical tail (which reflects the simplicity-complexity issue) is crucial to low-cost LEO access.
GW
Do you have a source for a ca. $100 million price for the 20 mT to LEO capacity Atlas 5? The reason I ask is because the argument I gave in the "SpaceX Dragon spacecraft for low cost trips to the Moon" thread on how a 40 mT vehicle could carry the 4 mT Dragon to the Moon also shows a 20 mT vehicle could carry a 2 mT capsule. Note then the Apollo LEM ascent stage had a dry mass of about 2 mT.
So the 20 mT to LEO capable launchers such as the Atlas 5, Delta IV Heavy and Ariane 5 could carry a 2 mT capsule to the Moon.
Bob Clark
No one yet has any idea of the cost ($/kg) of payload to orbit with the new heavy lifter. We do know what ULA can do with its Atlas 5 series. It's around $2500/pound=$1135/kg for a 20 metric ton payload to LEO. Doesn't vary a lot amongst the different versions. It's the cheapest one in their stable, the Delta's are a lot more expensive.
Falcon-Heavy is about to fly this year or next, from Vandenburg AFB, last I heard. Their website projects 53 metric tons to LEOP at $800-1000/pound= $363-454/kg. Two of these could put 106 tons up for about $48 million.
Your kilo to pounds conversion is in the wrong direction. The per kilo amount should be higher because each kilo weighs more than a pound.
Bob Clark
Hmmm. How many launches would we need to set up a small base at the Lunar poles to do prospecting? We're looking at, probably, a Sundancer module (which I expect will be developed) for the habitat, a Dragon capsule for transit both ways, a hefty solar power source and chemical factory for ISPP experiments, as well as a digger and other extraction equipment. Could we do it for under a billion dollars? Possibly. If each F9H can get 9 tonnes to the surface, then we need one for the Hab, one for the power supply and chemical factory (it shouldn't be more than this) and one for the digger and other such equipment (make them swappable?). Add in another F9H launch and a F9 regular for the Dragon and it's kickstage, which should allow us to leave enough fuel inside for the return journey (only ~2.5km/s; we'd need an Isp of 370 to perform this with a mass ratio of 2, so perhaps 5 tonnes of fuel for the return journey).
Total launch costs come to under half a billion; depending on how off the shelf everything is, we might be able to pull it off for under a billion total. Remember that this leaves in place a habitat and ISPP facility, which means that for simple missions to it without using depot's would require a Falcon 9 regular and heavy, so potentially a quarter of a billion for additional missions? If you add in a LEO depot and keep a crew transport vehicle in space, with an absurd (~8.5km/s...) mass ratio, you just need to launch your crew. Obviously, a LEO depot needs to be done in conjunction with an EML1 depot. Expanding it with these gets to the infrastructure I proposed earlier, so we can actually start to develop the place...
Thanks for that. I definitely think your low cost estimates are in the ballpark of what's doable. I think you get how frustrating it is to hear it might take $100 billion dollars and another 20 years to get back to the Moon. When you look at the technical capability we already have available and take into account the fact that government financed programs inflate costs by as much as a factor of 10, you realize a Moon landing program can be accomplished at a fraction of that both in time and cost.
Bob Clark
Why can't we be more flexible? Why can't we land a Bigelow expandable hab robotically on the surface and just have a small lander to go from lunar or Mars orbit to the surface, more like the Apollo. The personnel then transfer from the small lander to the larger surface hab.
The Dragon is the smallest capsule we have now for carrying a crew. Quite likely one could be made for half its size though. For instance I believe the LEM ascent stage only weighed about 2,000 kg.
I mentioned this NasaSpaceFlight.com post that gave NASA estimates for the cargo mass you could send on a one-way expendable lander to the Moon:
Re: ISS-based cryogenic third stages as expendable Earth-Moon tugs
« Reply #10 on: 06/14/2011 12:01 AM »
http://forum.nasaspaceflight.com/index. … #msg756590
For hydrogen only propulsion, the cargo mass delivered to the Moon was about 1/6th the LEO payload capability of the launcher. So for the Falcon Heavy it would be about 9 mT. However, 9 mT would not be enough for the BA 330 module Bigelow is planning at about 20 mT. It would be just barely enough for the Sundancer module if Bigelow chooses to restart that:
Sundancer.
http://en.wikipedia.org/wiki/Sundancer
Bob Clark
Hummm. You know the centaur is so flimsy that it needs self-pressurization to withstand it's own weight at sea level, right? And you propose to land it on the moon with no provision for a landing gear... or deep throttling. Though NASA is working on the last part and modifying a RL-10 to throttle form 104% to 8%, building a lander with a structural fraction of 10% is not really an easy task to accomplish, much less so if it has to deal with boiloff issues (you are landing it in an illuminated area for a significant amount of time after a lenghty, illuminated flight, right?) and have integrated on it the equipment to be refueled and berthed in some depot. Oh, and the astronauts have to get to the surface from the top of the stage. A stage that has to support a dragon while partially empty under lunar gravity. It's not much, but it's something, and it all adds up to "it's not going to have nearly the same structural fraction than a usual Centaur, if built the same way". Too many bells and whistles added on top.
So I doubt all this can be done with a straight-off-the-factory stretched/shortened good old Centaur. Even with a 21st century ACES stage. You push the margins a bit too close everywhere and don't leave room for eventual complications, and there are always some of those.
Rune. Other than that, great architectural concept, and I mean that.
The Centaurs have not been used for manned missions but they were considered for the Gemini missions when low cost alternatives to the Apollo lunar architecture were being considered. The Centaurs have been very successfully used for satellite launches for decades. Also this "balloon tank" type lightweight structure was used to launch men into space with the original Atlas rocket in the 60's.
Resting on the Moon for a lightweight structure is actually easier than on Earth of course. And on the Moon the propellant tanks will not be empty since they'll contain the propellant for the return trip and pressurants.
But in any case the most important fact is they don't have to be Centaurs. Two Centaur stages of total gross mass 40 mT would be able to carry a Dragon to the Moon and back. But you have so much leeway with the 53 mT LEO payload capacity of the FH that you could use currently existing LH upper stages with worse mass ratios that don't use "balloon tanks" for the purpose. Take a look at the list of LH2/LOX stages here:
http://www.astronautix.com/props/loxlh2.htm
Scroll down to the "Associated stages" section. You'll see several russian, european, and chinese stages can be used in combination to transport the Dragon to the Moon and back while fitting within the 53 mT LEO capability of the FH.
Bob Clark
What sort of mission could we launch if we used ISRU fuel? Land the Hab and fuel production at the poles using one launch - that's about 12 tonnes to Luna, more if we can use higher Isp, lower thrust drives, so we'll be able to land maybe 10 tonnes. If we do it all in a single stage, we'll be able to reuse the tank for propellent. Send a Dragon with additional tanks for fuel and just land it, not leaving anything in orbit. When it's time to leave, fuel up and perform a direct reentry.
My post was for a two-way mission so had to carry the propellant for the return trip as well. But I found this post on the Nasaspaceflight.com board that gives estimates of the delivered cargo for one-way missions by hydrogen fueled, hypergolic fueled, and a mixed propulsion system:
Re: ISS-based cryogenic third stages as expendable Earth-Moon tugs
« Reply #10 on: 06/14/2011 12:01 AM »
http://forum.nasaspaceflight.com/index. … #msg756590
For hydrogen fueled, the estimated lunar cargo delivery was about 1/6th the mass of the LEO payload capability. So for 53 mT to LEO, it would be about 9 mT.
Bob Clark
It is important though that such a lander be privately financed. Because the required stages already exist I estimate a lander could be formed from them for less than a $100 million development cost. This is based on the fact that SpaceX was able to develop the Falcon 9 launcher for about $300 million development cost. And this required development of both the engines and the stages for a 300 mT gross mass and 30 mT dry mass launcher. But for this lunar lander, the engines and stages already exist for a total 40 mT gross mass and 4 mT dry mass system.
If the system were to be government financed then based on the fact that SpaceX was able to develop the Falcon 9 for 1/10th the development cost of usual NASA financed systems, the cost of the lander would suddenly balloon to a billion dollar development.
Nice article here:
SpaceX Might Be Able To Teach NASA A Lesson.
May 23, 2011
By Frank Morring, Jr.
Washington
“I think one would want to understand in some detail . . . why would it be between four and 10 times more expensive for NASA to do this, especially at a time when one of the issues facing NASA is how to develop the heavy-lift launch vehicle within the budget profile that the committee has given it,” Chyba says.
He cites an analysis contained in NASA’s report to Congress on the market for commercial crew and cargo services to LEO that found it would cost NASA between $1.7 billion and $4 billion to do the same Falcon-9 development that cost SpaceX $390 million. In its analysis, which contained no estimates for the future cost of commercial transportation services to the International Space Station (ISS) beyond those already under contract, NASA says it had “verified” those SpaceX cost figures.
For comparison, agency experts used the NASA-Air Force Cost Model—“a parametric cost-estimating tool with a historical database of over 130 NASA and Air Force spaceflight hardware projects”—to generate estimates of what it would cost the civil space agency to match the SpaceX accomplishment. Using the “traditional NASA approach,” the agency analysts found the cost would be $4 billion. That would drop to $1.7 billion with different assumptions representative of “a more commercial development approach,” NASA says.
http://www.aviationweek.com/aw/generic/ … 324881.xml
Bob Clark
Edit:
SpaceX has said two Falcon Heavy launches would be required to carry a manned Dragon to a lunar landing. However, the 53 metric ton payload capacity of a single Falcon Heavy would be sufficient to carry the 30 mT (Earth departure stage + lunar lander system) described below. This would require 20 mT and 10 mT gross mass Centaur-style upper stages.
That should say 40 mT gross mass for the (Earth departure stage + lunar lander) system that was originally described with 30 mT and 10 mT Centaur-style stages.
Bob Clark
SpaceX has said two Falcon Heavy launches would be required to carry a manned Dragon to a lunar landing. However, the 53 metric ton payload capacity of a single Falcon Heavy would be sufficient to carry the 30 mT (Earth departure stage + lunar lander system) described below. This would require 20 mT and 10 mT gross mass Centaur-style upper stages. This page gives the cost of a ca. 20 mT Centaur upper stage as $30 million:
Centaur IIA.
http://www.astronautix.com/craft/cenuriia.htm
A 10 mT Centaur-style stage would be somewhat less than this, so the total for both less than $60 million.
The 53 mT to LEO capacity of the Falcon Heavy would also allow large lunar cargo transport using two of the 20 mT gross mass Centaurs that already exist either using the Dragon to carry the cargo or by carrying somewhat more cargo just within a lightweight container.
An important cargo delivery to the Moon would be in-situ resource utilization (ISRU) equipment, specifically for producing propellant from the water discovered to lie within the shadowed craters near the lunar poles. Elon Musk has said a key goal of his is to mount a manned Mars mission within 1 to 2 decades. Such a mission could be mounted more cheaply if the large amount of propellant required did not have to be lofted from the Earth's deep gravity well but could be taken from the Moon.
Another important cargo delivery would be to carry a rover that could do a sample return mission from the near polar locations. Lunar orbiter observations suggest there may be valuable minerals concentrated in such locations:
SCIENCE -- October 21, 2010 at 2:05 PM EDT
Moon Blast Reveals Lunar Surface Rich With Compounds.
BY: JENNY MARDER
"There is water on the moon ... along with a long list of other compounds,
including, mercury, gold and silver. That's according to a more detailed
analysis of the chilled lunar soil near the moon's South Pole, released as six papers by a large team of scientists in the journal, Science Thursday."
http://www.pbs.org/newshour/rundown/201 … water.html
If these tentative detections could be confirmed then that could possibly form a commercial market for flights to the Moon.
In this vein note there is even stronger evidence for large amounts of valuable minerals on asteroids. Observations suggest that even a small size asteroid could contain trillions of dollars (that's trillions with a 't') worth of valuable minerals:
Riches in the Sky: The Promise of Asteroid Mining.
Mark Whittington, Nov 15, 2005
http://voices.yahoo.com/riches-sky-prom … -8776.html
It is quite important to note then that since the delta-V requirements to some near Earth asteroids is less than that to the Moon, that the sample return version of the lunar lander could also be used to return samples from the near Earth asteroids. If these asteroidal detections could be definitively confirmed by a sample return mission then that would provide further justification for private investment in lunar propellant production installations.
SpaceX expects to launch the first Falcon Heavy in 2013. Because the required Centaur stages already exist it is possible that a lunar lander could be formed from such mated together stages within this time frame at least for a unmanned cargo version.
It is important though that such a lander be privately financed. Because the required stages already exist I estimate a lander could be formed from them for less than a $100 million development cost. This is based on the fact that SpaceX was able to develop the Falcon 9 launcher for about $300 million development cost. And this required development of both the engines and the stages for a 300 mT gross mass and 30 mT dry mass launcher. But for this lunar lander, the engines and stages already exist for a total 40 mT gross mass and 4 mT dry mass system.
If the system were to be government financed then based on the fact that SpaceX was able to develop the Falcon 9 for 1/10th the development cost of usual NASA financed systems, the cost of the lander would suddenly balloon to a billion dollar development.
Note that while the evidence for valuable minerals in the lunar shadowed craters is not yet particularly strong, the evidence for such minerals in the asteroids is. So there is a strong financial incentive for forming such a lunar lander as it could also be used for the asteroidal lander.
But asteroidal mineral retrieval flights could be launched much more cheaply if the propellant could be obtained from the Moon. Then there is a strong financial incentive to produce ISRU installations on the Moon which would require lunar return missions from the shadowed crater regions to assess the best means of harvesting this lunar water for propellant. If such return missions also confirm the presence of valuable minerals in the shadowed craters then that would be like icing on the cake for justification of private investment in such missions.
Bob Clark
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The Orion spacecraft and Altair lunar lander intended for a manned Moon mission are large craft that would require a heavy lift launcher for the trip. However the Dragon capsule is a smaller capsule that would allow lunar missions with currently existing launchers.
The idea for this use would be for it to act as a reusable shuttle only between LEO and the lunar surface. This page gives the dry mass of the Dragon capsule of 3,180 kg:
SpaceX reveals first Dragon engineering unit.
DATE:16/03/07
By Rob Coppinger
http://www.flightglobal.com/articles/20 … -unit.html
The wet mass with propellant would be higher than this but for use only as a shuttle between LEO and the Moon, the engines and propellant would be taken up by the attached propulsion system. With crew and supplies call the capsule mass 4,000 kg.
On this listing of space vehicles you can find that the later versions of the Centaur upper stage have a mass ratio of about 10 to 1:
http://www.friends-partners.org/partner … pndexc.htm
The Isp's given for the RL-10A engines used on these stages are around 450 s, but an updated version with a longer, extensible nozzle has an Isp of 465.5 s:
RL10B-2.
http://www.pw.utc.com/products/pwr/asse … l10b-2.pdf
This page gives the delta-V's needed for trips within the Earth-Moon system:
Delta-V budget.
Earth–Moon space.
http://en.wikipedia.org/wiki/Delta-v_bu … Moon_space
The architecture will be to use a larger Centaur upper stage to serve as the propulsion system to take the vehicle from LEO to low lunar orbit. This larger stage will not descend to the surface, but will remain in orbit. A smaller Centaur stage will serve as the descent stage and will also serve as the liftoff stage that will take the spacecraft not just back to lunar orbit, but all the way to back to LEO. The larger Centaur stage will return to LEO under its own propulsion, to make the system fully reusable. Both stages will use aerobraking to reduce the delta-V required to return to LEO.
For the larger Centaur, take the gross mass of the stage alone as 30,000 kg, and its dry mass as 1/10th of that at 3,000 kg. For the smaller Centaur stage take the gross mass as 10,000 kg and the dry mass as 1,000 kg. The "Delta-V budget" page gives the delta-V from LEO to low lunar orbit as 4,040 m/s. In calculating the delta-V provided by the larger Centaur stage we'll retain 1,000 kg propellant at the end of the burn for the return trip of this stage to LEO: 465.5*9.8ln((30,000 + 10,000 + 4,000)/(3,000 +10,000 + 4,000 + 1,000)) = 4,077 m/s, sufficient to reach low lunar orbit. For this stage alone to return to LEO, 1,310 m/s delta-V is required. The 1,000 kg retained propellant provides 465.5*9.8ln((3,000 + 1,000)/3,000) = 1,312 m/s, sufficient for the return.
The delta-V to go from low lunar orbit to the Moon's surface is 1,870 m/s. And to go from the Moon's surface back to LEO is 2,740 m/s, for a total of 4,610 m/s. The delta-V provided by this smaller Centaur stage is 465.5*9.8ln((10,000 + 4,000)/(1,000 + 4,000)) = 4,697 m/s, sufficient for lunar landing and the return to LEO.
The RL-10 engine was proven to be reusable for multiple uses with quick turnaround time on the DC-X. The total propellant load of 40,000 kg could be lofted by two 20,000+ kg payload capacity launchers, such as the Atlas V, Delta IV Heavy, Ariane 5, and Proton.
The price for these launchers is in the range of $100-140 million according to the specifications on this page:
Expendable Launch Vehicles.
http://www.spaceandtech.com/spacedata/elvs/elvs.shtml
So two would be in the range of $200-$280 million. The Dragon spacecraft and Centaur stages being reusable for 10+ uses would mean their cost per flight should be significantly less than this. This would bring the cost into the range affordable to be purchased by most national governments.
Still, it would be nice to reduce that $200 million cost just to bring the propellant to orbit. One possibility might be the heavy lift launchers being planned by NASA. One of the main problems in deciding on a design for the launchers is that there would be so few launches the per launch cost would be too high. However, launching of the propellant to orbit for lunar missions would provide a market that could allow multiple launches per year thus reducing the per launch cost of the heavy lift launchers. For instance, the Direct HLV team claims their launcher would cost $240 million per launch if they could make 12 launches per year:
JULY 23, 2009
Interview with Ross Tierney of Direct Launch by Sander Olson.
http://nextbigfuture.com/2009/07/interv … irect.html
This launcher would have a 70,000 kg payload capacity. However, if you removed the payload fairing and interstage and just kept the propellant to be launched to orbit in the ET itself and considering the fact that the shuttle system was able to launch 100,000+ kg to orbit with the shuttle and payload, it's possible the propellant that could be launched to orbit could be in the range of 100,000 kg. Then the cost per kg to orbit would be $2,400 per kg, or about a $100 million cost for the propellant to orbit.
Reduction of the per launch cost for the heavy lift launchers would then allow affordable launches of the larger spacecraft and landers for lunar missions.
Bob Clark
========================================================
GW Johnson wrote:To answer a question Josh asked earlier, I spent some time at what was then LTV Aerospace in Dallas working on the old "Scout" launcher. I used a combination of jiggered rocket equation stuff and motor manufacturer catalogue data to set up the real trajectory code stuff. The "gold standard" was (of course) the trajectory code. My job was to determine feasible advanced configurations for "Scout", and feasibility of some really unusual missions for it to do. "Scout" was a 4 stage solid propellant vehicle. They lost 1 of 4 in flight test, then never another one in 30-some years.
For Bob Clark: airbreather thrust, particularly ramjet, is very strongly (dominantly) dependent upon flight speed and altitude air density. The nozzle thrust is calculated same way as a rocket (chamber total pressure, gas properties, pressure ratio across the nozzle, and nozzle geometry), the pressure is just lower and the expansion ratio a lot less. You do need to worry about the difference between static and total chamber pressure, unlike most rockets.
The ram drag is the drag of decelerating the ingested stream of air into the vehicle. Its massflow multiplied by its freestream velocity (in appropriate units of measure) is the way that is done. But, nozzle force minus ram drag is only "net jet" thrust. There are several more propulsion-related drag items to account.
There is spillage drag for subcritical inlet operation (which also means reduced inlet massflow!), additive or pre-entry drag for ingested stream tubes in contact with the vehicle forebody, and the drag of boundary layer diverters or bleed slots, quite common with supersonic inlets. None of those are simple to calculate "from scratch" (we use wind tunnel test data to correlate empirically a coefficient for each as a function of Mach and vehicle attitude angles), and taken together they are often quite a significant force.
If you subtract that sum of drags from net jet thrust, you have the "local" or "installed" thrust, corresponding with just plain airframe drag. Most airframers work in that definition. If you don't, then you have to add that sum of propulsive drags to the airframe drag to get the corresponding proper drag for "net jet" thrust-drag accounting (not very popular outside the propulsion community).Thanks for the detailed response. That's actually a little too much detail for what I need. I read your post on ramjet boosters:
Sunday, August 22, 2010
Two Ramjet Aircraft Booster Studies
http://exrocketman.blogspot.com/2010/08 … e-boe.htmlI noted that you were able to get better payload with more shallow launch angle but it created a problem for retrieving the first stage booster, since it went so far downrange. If I'm reading it correctly you were able to double the payload mass with the shallow angle, presumably using aerodynamic lift.
What I'm trying to determine if I can increase my payload just going to the range turbojets can get to, ca. Mach 3+. I intend to use the jets to get to medium altitude for a turbojet, ca. 15,000 m. But I need to get to a good angle as well as reaching its max speed. Another problem is that I don't know if it can get to max speed while climbing.
I looked at the case of the SR-71 and the XB-70 Valkyrie. These had more thrust than I wanted but that added weight because jet engines are so heavy. In any case I noted the climbing rate. From that it seemed doable, considering the high effective Isp, that you could reduce propellant mass that way. The problem is this is for a SSTO application and I can't afford the weight. What I wanted was the engines to put out in the range of 1/7th the vehicle weight to reduce the jet engine mass. What I don't know is how will that effect the climb rate, and will it even be able to reach supersonic now.
Note that an advantage of the SSTO is that you can get the better payload by flying a shallow angle and not have to worry about recovering the booster stage.Bob Clark
I discussed previously on NewMars the reasons why I think it should be possible to do a partially airbreathing SSTO with current jet engines in this post copied below from before the server crash.
====================================================
...Looking at the numbers though I'm convinced now you can even make a single stage to orbit vehicle with a combined ramjet/rocket engine, and without having to use scramjets.
The idea is to combine the turbo-ramjet/rocket into a single engine. This is what Skylon wants to do with their Sabre engine. But the Sabre will use hypersonic airbreathing propulsion up to Mach 6.5 before the rockets take over. This will require complicated air-cooling methods using heat exchangers with flowing liquid hydrogen for the Skylon.
However, just being able to get to say the Mach 3.2 reached by the SR-71 would take a significant amount off the delta-V required for orbit. Of course if the ramjet could get to Mach 5 that would be even better but key this would be doable with the existing engines of the SR-71. Note too the engines of the XB-70 Valkyrie bomber could operate at Mach 3 and as far as I know they didn't have ramjet operation mode. So it might not even be necessary for the engines to have a ramjet mode, turbojet might be sufficient.
The problem with using jets for the early part of the flight of an SSTO has been they are so heavy for the thrust they produce, generally in the T/W range of around 5 to 10. While rocket engines might have a T/W ratio in the range of 50 to 100. But a key point is the jet engine will be operating during the aerodynamic lift portion of the flight where the L/D ratio of perhaps 7. The XB-70 for instance had a L/D of about 7 during cruise at Mach 3. So if we take the T/W of the jet engine to be say 7 and the L/D to be 7, then the thrust to lift-off weight ratio might be about 50 to 1 comparable to that of rockets.
BTW, it is surprising there has been so little research on this type of combination with the jet and rocket combined into one. You hear alot about turbine-based-combined-cycle (TBCC) where it combines turbo- and scram-jets and rocket-based-combined-cycle (RBCC) , where the exhaust from a rocket is used to provide the compression for a ramjet. But not this type of combined turbojet/rocket engine. It doesn't seem to have an accepted name for example. It would not seem to be too complicated. You just use the same combustion chamber for rocket as for the jet. Probably also you would want to close off the inlets when you switch to rocket mode.
For the calculation the delta-V and propellant load would be feasible, note that for a dense propellant SSTO might require as much as 300 m/s lower delta-V than a hydrogen fueled SSTO, in the range of about 8,900 m/s, so I'll use kerosene as the fuel. Hydrogen might have an advantage though in being light-weight if what you wanted was horizontal launch. Say you were able to get to Mach 3+ with the jets, 1,000 m/s. The delta-V to supplied by the rocket-mode is then 7,900 m/s. But note also you can get to high altitude say to 25,000 m. This might subtract another 300 m/s from the required rocket-mode delta-V, so now to 7,600 m/s.
A bigger advantage than this of the altitude is the fact that you get the full vacuum Isp during rocket-mode, call it an exhaust velocity of 3,600 m/s for kerosene rockets. Note this results in a mass-ratio for the rocket mode portion of e^(7,600/3,600) = 8.3, less than half that usually cited for a kerosene-fueled all rocket SSTO. Note the fuel required for the jet-powered portion would only be a fraction of the dry mass rather than multiples of it based on the fact the 1,000 m/s jet-powered speed is only a fraction of the 10,000 m/s or so effective exhaust speed of jet engines.
Note this brings the kerosene fuel load to be about that of hydrogen fueled SSTO's, except you still have the high density of kerosene. With modern lightweight materials this should be well doable.
Bob Clark
=======================================================
Thanks for those links Hop and Adaptation.
Hop, I wanted to pass by you a calculation I did for a relatively low cost Mars mission. It would require though low cost lunar propellant. I'll post it in a day or so.
Bob Clark
Hop, actually I did do the math. I did the math, in fact, on several different stages, because obviously not all are capable of making orbit, in theory or otherwise. A short post does not necessarily indicate a small amount of work having gone into it. The astronautix article on the Saturn V listed information for the Saturn V second stage that is different from that in the article to which you linked. I suspect that my link is correct because of the following text in yours:
Final common second stage design for Saturn C-3, C-4 and C-5 (November 1961). Developed into Saturn V second stage.
Also, it is silly to use the sea level Isp to approximate the Isp for the entire trajectory. As I said, it could in theory function as an SSTO vehicle so long as the trajectory averaged Isp were at least 380 s. This is pretty reasonable, IMO.
By the way, I'm not "continually ignoring" anything. I made a correct statement. You went off on a tangent for no reason. I offered something that would allow us to get back on track. You want to continue this pointless tangent. Why?
You do have to keep in mind though that for these upper stages the nozzles were optimized for high altitude, near vacuum performance. So they are much longer than the nozzles used for launch from the ground. Vacuum optimized nozzles give much worse performance at sea level. In fact they could cause instabilities in the exhaust that can even damage the engine.
To use this stage for ground launch you would have to have some method of altitude compensation, or switch out the engines for the SSME's.
BTW, here is a discussion of using the Saturn V third stage, the S-IVB, as an SSTO with altitude compensation on the engines as an SSTO:
Douglas_SASSTO.
http://en.wikipedia.org/wiki/Douglas_SASSTO
Bob Clark
I've seen discussion of using the Falcon Heavy and the Dragon for a Mars sample return mission. Could the Falcon 9 perform such a mission with a smaller capsule than the Dragon?
Consider two different architectures: 1.)the propellant for the return is carried from Earth,
and
2.)the propellant for the return is produced on Mars. For this, note that orbital observations of Mars show there are locations that have high concentrations both of methane and water vapor. Then those locations could be targeted for the lander. These would also be good locations to search for life. Zubrin's Mars Direct proposal was of taking Mars resources either of the surface or the ground to produce propellant.
For our proposal, there would be a few options for making the propellant. You could take the methane from the atmosphere in the high concentration region, or you could make it by hydrolyzing the water vapor to get hydrogen and reacting it with the CO2 in Mars atmosphere to get methane.
A chemistry question: if you supply an electricity source, could you create methane directly from water vapor and CO2 in the Martian atmosphere?
You would need a power source. For Zubrins proposal he suggested nuclear power. But that was for a large manned lander. For our much smaller lander solar power may suffice.
Bob Clark
Two sites might be useful:
Space Launch Report.
http://spacelaunchreport.com/library.html
Space Launch Vehicles.
http://www.b14643.de/Spacerockets_1/index.htm
They both give the diameter and the lengths of fairings. Then from the images
of the vehicles you can calculate the dimensions of the conical and cylindrical
portions of the fairings.
Bob Clark
Elon Musk has said he wants to cut the costs to space to the $100 to $200 per kg range by reusability. This is about a two order of magnitude reduction in cost. To put this in perspective, this is like a trans-atlantic flight that costs $1,000 suddenly being cut to cost $10 to $20.
Musk has said this transformation of the Falcon 9 to full reusability will be very hard. I don't believe it will be. But first, keep in mind how important that reduction in cost will be if it succeeds. If it succeeds then SpaceX will monopolize the launch business if the other launch companies do not field their own reusable vehicles. So there is a tremendous financial incentive for SpaceX to invest in reusability. Now, most in the industry believe reusability is very difficult for orbital vehicles and not even worth the expense. So if Musk reinforces that idea then he has a better chance at being able to field one without the other launch providers having one. And since they will not have even started to develop one, it will take them some time to catch up. The effect is that Musk will have a monopoly on all launches for at least a few years.
I don't know if that is Musk's intent in saying reusability is very hard. Actually I'm inclined to believe he is just saying what most in the industry believe including his own engineers. But a key reason why reusability is not very hard is because the cost in mass in reentry and landing systems is surprisingly low. In regards to the technical difficulty, there is none. We know how to do it as the shuttle orbiter and the X-37B and Dragon spacecraft has shown. I include the Dragon in the list of reusables because its heat shield showed minimal degradation on return. Musk has said the same heat shield could make hundreds of flights, at least to LEO.
I made an estimate before of about 28% of the landed mass has to go to reentry/landing systems. This was based on estimates of 15% for thermal protection, 10% for wings or for propellant for vertical landing, and 3% for landing gear. However, I said likely with modern materials this could be cut to half that. In fact, it might even be lower than 10%.
1.)Weight of thermal protection.
Robert Zubrin has given an estimate of 15% of the landed weight for the weight of thermal protection systems(TPS):
Reusable launch system.
http://en.wikipedia.org/wiki/Reusable_l … at_shields
However, I gather this was in relation to the older capsules, Mercury, Gemini, Apollo, etc. Indeed the weight of the ablative heat shield on the Apollo capsule was about 15%:
Apollo Command/Service Module.
2.7 Specifications
http://en.wikipedia.org/wiki/Apollo_Com … ifications
However, the space shuttle with its mostly silica tiles was able to reduce the TPS weight to about 8% of the maximum landing weight of 104,000 kg:
Space Shuttle thermal protection system.
3.3 Weight considerations.
http://en.wikipedia.org/wiki/Space_shut … iderations
Also, for the X-37B the TUFROC leading edge material instead of the shuttles RCC and the TUFI AETB material instead of the shuttles silica tiles are either of equal or lower weight than the shuttles TPS materials while being tougher and requiring less maintenance:
X-37B Orbital Test Vehicle.
http://www.boeing.com/defense-space/ic/ … b_otv.html
For ablative TPS, the PICA-X material used on the Dragon capsule weights about half the weight of the AVCOAT material used on the Apollo heat shield:
Re: Dragon v/s Orion.
http://forum.nasaspaceflight.com/index. … #msg754168
while being able to still survive lunar and even Martian reentry speeds.
SpaceX has found that at least for LEO reentry speed judging from the minimal degradation on the Falcon 9/Dragon test flight, the PICA-X heat shield could be reused hundreds of times.
Also, for vertical powered landings a la the DC-X, you might not even need an extra heat shield for base first landings. One proposal for a VTVL SSTO uses low thrust during the descent as well as a high temperature-resistant aerospike nozzle to serve as the reentry thermal protection. You would need to retain more mass in propellant or some inert gas for this purpose though.
Another idea for a vertical landing vehicle would be to reenter head first. This was the preferred method of the Air Force since it provided increased cross-range. In that case you would have the blunt heat shield at the top of each stage. I thought this method would be unstable with the heavy engines now at the top during reentry, but since this was considered for the orbital version of the DC-X presumably this was solved.
2.)Weight of the wings and the landing gear.
For horizontal landing, a common estimate is that the weight of wings is 10% of the landed weight. This comes from aircraft examples though where the wings have to carry the weight of the fuel which can be as much as the dry weight of the aircraft itself or more.
An example where the propellant will not be carried in the wings and lightweight composites will be used is the Skylon. According to their released specifications the wing weight will be less than 2% of the take-off weight, which is the appropriate weight to compare to for a horizontal take-off vehicle:
The SKYLON Spaceplane.
by Richard Varvill and Alan Bond
Journal of the British Interplanetary Society, Vol. 57. pp. 22–32, 2004
p. 32.
http://www.reactionengines.co.uk/downlo … _22-32.pdf
On that same page the landing gear weight is the only 1.5% of the take-off weight.
Then for a vertical take-off vehicle these low weight proportions should apply to the dry, landing weight.
Bob Clark
JoshNH4H wrote:It is my understanding that several off-the-shelf rocket stages have the mass ratio to function as SSTO launch vehicles. At the very least I can point to the Centaur upper stage as having this theoretical capability, seeing as I've actually done the calculations for it, though this is saying nothing of thrusting capabilities).
Doing my own calculations...
Centaur V1
Gross mass: 22825 kg
Empty mass: 2026 kg
ISP: 451 seconds
Given that ISP and mass ratio, you have a delta V of 11.15 km/s. More than enough to achieve LEO, right?
But let's look at thrust to weight ratio.
Thrust: 99190 newtons.
The initial thrust to mass ratio is 99190 newtons/22825 kg. Or 4.35 newtons per kilogram. Gravity exerts a force of 9.8 newtons per kilogram.
T/W < 1.
This stage would not even get off the ground.
What would be the mass ratio and delta-V if you added engines to achieve lift off?
BTW, Dr. John Schilling has an online payload estimator that allows you to estimate the
the payload you can lift to orbit with a launch vehicle. You enter in the propellant and dry
mass and the vacuum thrust and vacuum Isp. The program does give a warning if your
thrust is less than your launch weight.
Launch Vehicle Performance Calculator.
http://www.silverbirdastronautics.com/LVperform.html
Bob Clark
To answer a question Josh asked earlier, I spent some time at what was then LTV Aerospace in Dallas working on the old "Scout" launcher. I used a combination of jiggered rocket equation stuff and motor manufacturer catalogue data to set up the real trajectory code stuff. The "gold standard" was (of course) the trajectory code. My job was to determine feasible advanced configurations for "Scout", and feasibility of some really unusual missions for it to do. "Scout" was a 4 stage solid propellant vehicle. They lost 1 of 4 in flight test, then never another one in 30-some years.
For Bob Clark: airbreather thrust, particularly ramjet, is very strongly (dominantly) dependent upon flight speed and altitude air density. The nozzle thrust is calculated same way as a rocket (chamber total pressure, gas properties, pressure ratio across the nozzle, and nozzle geometry), the pressure is just lower and the expansion ratio a lot less. You do need to worry about the difference between static and total chamber pressure, unlike most rockets.
The ram drag is the drag of decelerating the ingested stream of air into the vehicle. Its massflow multiplied by its freestream velocity (in appropriate units of measure) is the way that is done. But, nozzle force minus ram drag is only "net jet" thrust. There are several more propulsion-related drag items to account.
There is spillage drag for subcritical inlet operation (which also means reduced inlet massflow!), additive or pre-entry drag for ingested stream tubes in contact with the vehicle forebody, and the drag of boundary layer diverters or bleed slots, quite common with supersonic inlets. None of those are simple to calculate "from scratch" (we use wind tunnel test data to correlate empirically a coefficient for each as a function of Mach and vehicle attitude angles), and taken together they are often quite a significant force.
If you subtract that sum of drags from net jet thrust, you have the "local" or "installed" thrust, corresponding with just plain airframe drag. Most airframers work in that definition. If you don't, then you have to add that sum of propulsive drags to the airframe drag to get the corresponding proper drag for "net jet" thrust-drag accounting (not very popular outside the propulsion community).
Thanks for the detailed response. That's actually a little too much detail for what I need. I read your post on ramjet boosters:
Sunday, August 22, 2010
Two Ramjet Aircraft Booster Studies
http://exrocketman.blogspot.com/2010/08 … e-boe.html
I noted that you were able to get better payload with more shallow launch angle but it created a problem for retrieving the first stage booster, since it went so far downrange. If I'm reading it correctly you were able to double the payload mass with the shallow angle, presumably using aerodynamic lift.
What I'm trying to determine if I can increase my payload just going to the range turbojets can get to, ca. Mach 3+. I intend to use the jets to get to medium altitude for a turbojet, ca. 15,000 m. But I need to get to a good angle as well as reaching its max speed. Another problem is that I don't know if it can get to max speed while climbing.
I looked at the case of the SR-71 and the XB-70 Valkyrie. These had more thrust than I wanted but that added weight because jet engines are so heavy. In any case I noted the climbing rate. From that it seemed doable, considering the high effective Isp, that you could reduce propellant mass that way. The problem is this is for a SSTO application and I can't afford the weight. What I wanted was the engines to put out in the range of 1/7th the vehicle weight to reduce the jet engine mass. What I don't know is how will that effect the climb rate, and will it even be able to reach supersonic now.
Note that an advantage of the SSTO is that you can get the better payload by flying a shallow angle and not have to worry about recovering the booster stage.
Bob Clark
GW Johnson wrote:Paper airplanes from ISS. Interesting. The ultimate in low wing loading. Did they ever run this experiment? Especially since the ignition point for paper in air is about 451 F or 233 C? (not as exciting in metric, thanks to Ray Bradbury).
The 8 km/s re-entry is a major problem. They have a thread on RLVs at NasaSpaceFlightForum. Danny Dot noted the difficulty of finding durable materials that can withstand the temperature. He said the shuttle's leading edge was 3000 degrees F. He complained of a TPS material being softer than chalk.
It seems to me one of the problems is achieving an FMR of 16:1 and having a spacecraft strong and temperature resistant enough to endure re-entry.
Watching Musk's Grasshopper video it looks like he hopes to use reaction mass to shed re-entry velocity in addition to aerobraking. If he hopes to achieve some re-entry delta V with propellant, this makes his FMR even more challenging. Get the FMR too high and you have a very tenuous, fragile vehicle even less able to endure re-entry. I'm not giving Musk's TSTO RLV even odds.
However, given propellant in orbit, I believe it's quite doable to decelerate the upper stage and land it intact on the launch pad. Thus I believe lunar supplied propellant depots would enable TSTO RLVs.
I don't think it's that hard. We already have two examples of reusable spacecraft, the space shuttle and the X-37b. The percentage weight of the TPS for the space shuttle of the max landing weight of the shuttle is about 8%:
Space Shuttle thermal protection system.
3.3 Weight considerations.
http://en.wikipedia.org/wiki/Space_shut … iderations
Reportedly the TPS on the X-37b is lighter weight but tougher and requiring less maintenance:
X-37B Orbital Test Vehicle.
http://www.boeing.com/defense-space/ic/ … b_otv.html
You would need to add wings for this approach but a common estimate is that wings account for 10% of the landing weight which wouldn't be too much. And with modern materials the wing weight probably can be cut to half that.
Elon doesn't like wings though. An estimate of the fuel requirements for a powered vertical a la the DC-X is 10% of the landed mass:
Horizontal vs. vertical landing (Henry Spencer; Mitchell Burnside Clapp).
http://yarchive.net/space/launchers/hor … nding.html
For TPS, the PICA-X material weighs half that of the AVCOAT material used on the Apollo heat shield:
Re: Dragon v/s Orion.
http://forum.nasaspaceflight.com/index. … #msg754168
The Apollo heat shied was 15% of the landed mass:
Apollo Command/Service Module.
2.7 Specifications
http://en.wikipedia.org/wiki/Apollo_Com … ifications
So the Dragon heat shield can be 8% of the landed weight. You still have to figure out how to get the heat shield in place to cover the engines on reentry while uncovering the engines on ascent and for the short time when you are making the powered portion of the landing. Not a trivial task.
One solution is to do head first reentry. This requires high heating on the pointy end of a SSTO. But the PICA-X material is even supposed to be able to withstand the reentry speeds from Mars flights, so it could work for this.
For the TSTO's SpaceX is planning, you could have the blunt heat shield at the top of each stage. I thought this was would be unstable with the heavy engines at the top during reentry. But apparently this was a solved problem during the DC-X planning because that was the preferred reentry method since it the offered for the Air Force extended cross-range.
Another solution that was suggested for the DC-X was for base first landing with an aerospike nozzle. The high temperature resistant aerospike was supposed to act as a heat shield, perhaps in addition with some low thrust firing of the engines.
Bob Clark
Hi gang:
This is GW Johnson the old aero engineer, and ramjet expert from long ago. I surely am glad to see the forums up and running again.In recent news: I have picked up a consulting client for a possible ramjet launch effort. And, that client and I both think I may be just about the last living US all-around expert in ram propulsion (I seem to have outlived the rest).
I’m particularly glad to see LEO access under active discussion, especially with Josh and Hop talking about reusable vehicles, and perhaps ramjet assist. The last stuff I had is a posting over at http://exrocketman.blogspot.com, where I looked at horizontal takeoff and landing with a winged first stage using separate rocket and ramjet power. That article is dated August 22, 2010, so it’s way down the list (chronological, latest on top). There’s a navigation tool by date and title on the left, under my photo. It looked to me like a staging condition of near Mach 6 at around 60,000 feet altitude might well work out, including booster flyback. And, it looks like ramjet might really pay off in this scenario.
Hello again, GW. Perhaps you can help me with a question I'm working on. I want to calculate the fuel burn for an airbreather, such as a turbojet or ramjet, as it accelerating upwards, climbing to altitude.
What is usually given in the specifications of a jet engine is its specific fuel consumption. But I'm fairly sure this is based on the gross thrust. However, to calculate the acceleration of your vehicle you need to subtract off the ram drag to calculate the net thrust. How do you calculate this net thrust?
Also, I believe the specific fuel consumption also changes with altitude and speed. How do you take that into account?
Bob Clark
Bob, the obvious question is do you think it will work? Their next goal after human rating is reusability, and during the newmars downtime the grasshopper video came out:
http://www.youtube.com/watch?v=sSF81yjVbJE
Of the rocket engineers here, do you think it will work, reliably and economically?
Yes, because I think reusability is doable at reasonable cost. The main requirement that Elon does have
is the actual dedication to doing it, which is lacking in the "Old Space" companies.
Bob Clark
In regards to the costs of Mars missions see the thread "Elon Musk wants to put millions of people on Mars".
Bob Clark
I'll Put Millions of People on Mars, says Elon Musk.
posted Dec 22, 2011 9:10 PM by Michael Stoltz [ updated Dec 22, 2011
9:29 PM ] By Greg Klerkx, New Scientist, 12.22.11
http://www.marssociety.org/home/press/n … yselonmusk
In the article Elon says that if SpaceX succeeds at reusable rockets
at the price of $100 to $200 per kg range, then he can get the mission
to Mars at $5 billion:
Musk is eventually hoping to build this kind of reusability into
SpaceX's newest launch vehicle, the Falcon Heavy. Scheduled for
testing in early 2013, Falcon Heavy will be the largest rocket flown
since NASA's Saturn V launched astronauts to the moon. Musk says that
a reusable version of the rocket could deliver a payload of up to 15
tonnes to Mars at a cost of $100 to $200 per kilogram. That makes his
$5 billion humans-to-Mars price tag seem realistic. Even so, the
Falcon Heavy would need to be "heavier" still to carry the minimum 50-
tonne payload needed for a Mars mission. But Musk, whose title at
SpaceX is CEO and chief technology officer, is working on that too.
Elon also reiterates his stance, that I agree with, about the
importance of achieving reusability in spaceflight:
At no point in our discussions does he withdraw or alter his 10 to 20
year time-frame for Mars. Even at the far end of that range, Musk
would be only 60 when the first Martian expedition launched. Would he
consider going on that first trip? "If someone had solved the rapidly
reusable launch system problem, then yes, I'd definitely go," he says.
"But if it were simply a one-time flight, then no, because I'd need to
stay and keep at the challenge with SpaceX. It is too important. This
is something that I'm in for the long haul."
Bob Clark
Great to have NewMars back. About increasing traffic the problem is probably due to most people not knowing it's back. I didn't until a couple of days ago.
A few ways to increase traffic:
A strong way would be for the administrators to send out a group email to all the subscribers before the meltdown.
For us members, on the other forums we contribute to we could include pointers to some of ours or of others interesting postings on NewMars.
I also like Jon Clarke's suggestion to mention it on the Mars Society Facebook page.
Bob Clark
Very glad to have you guys back.
Congratulations on the re-birth.
Bob Clark
The impetus for this was this proposal by Launchpoint Technologies
to launch small satellites by magnetic fields:
Huge 'launch ring' to fling satellites into orbit
http://technology.newscientist.com/article/dn10180
However, there are many difficulties with getting large mass objects
up to orbital velocity with EM fields alone, discussed in this thread on sci.astro:
Subject: Coilguns and EM launchers.
http://groups.google.com/group/sci.spac … c6417ca8a/
And this article describes research dating back from 1977 able to
get a 3 gm object up to about 6000 m/s, and that record still hasn't
been exceeded for larger mass objects:
For Love of a Gun By Carolyn Meinel
First Published July 2007
The tumultuous history of electromagnetic launch.
http://www.spectrum.ieee.org/jul07/5296
If the launch system is to stay on the ground and for low mass
payloads you can just as well use reaction mass methods, i.e, rockets,
at high ISP to get the craft up to orbit velocity at short distances.
You wouldn't need to have hundreds of kilometers of cable extending
into air trailing from the craft. You could have a cable lying on the
ground and a short length of cable extending from the craft to the
cable on the ground, say 10 to 100 meters long. Keep in mind, just as
for the magnetic launch proposal, the main thing is getting that
horizontal velocity component required for orbit. To get to the
altitude for LEO is just a small proportion of extra velocity and
energy of that required for orbital velocity.
Note that for large launch systems such as the space shuttle a large
amount of thrust is needed just to accelerate that huge mass of fuel
that needs to be carried along. But when the exhaust velocity is much
larger than the ending velocity, say 100,000 m/s compared to 8,000 m/s
then by the rocket equation the mass of the fuel will be about the
same small proportion to the mass of the rocket, 8/100. (The exhaust
velocity being 100,000 m/s for this MPD thruster means the ISP,
specific impulse, actually is a quite high 10,000 s.)
The Launchpoint magnetic launch proposal only talked about launching
small satellites, 10 kilograms or so. Only one of the NASA Glenn
magnetoplasmadynamic (MPD) thrusters would be needed to accelerate a
10 kg mass to 1 g. Five of them could accelerate it to 5 g's at 5
MWatts power.
However, I should say key for this proposal is the idea the MPD
thrusters could be made lightweight. From the descriptions of the mode
of operation, essentially only requiring two electrodes, I'm assuming
this is the case. The images of them shown also suggest they would be
small and light weight.
Assuming that it is indeed the case the weight of the thrusters would
stay low when the thrust is scaled up, this might be used to launch
most satellites and also astronaut passengers. Most satellites are
less than around 1,000 kg. A 1 Gwatt power plant assuming power to
thrust scales up could accelerate this at 10 g's. Transportable gas
turbine electric generators at the 100's of megawatts scale can be
bought in the 10's of millions of dollars range. So 1 Gwatt total
would cost in the range of 100's of millions of dollars.
NASA documents give the human endurance level for acceleration
according to duration, as described here:
G tolerance (Dani Eder; Henry Spencer; Jordin Kare; James Oberg)
http://yarchive.net/space/science/g_tolerance.html
At 9 g's it's about 3 minutes for astronauts lying down in
acceleration seats. The formula for speed v attained at an
acceleration a over distance d is v^2 = 2ad. So for v = 8,000 m/s and
a = 10 g's = 100 m/s^2, d is 320 km. They would have to undergo this
for t =v/a = 80 s.
You could have the craft go in a circle at a smaller radius to reduce
the scale of the distance covered by the cable on the ground, but this
would result in a higher acceleration according to the formula a = v^2/
r. For a radial distances of a few km's you get accelerations at the
1,000's of g's scale, which would greatly reduce the payload and make
it impossible for human passengers.
However, for small satellites, a few kilos, it might be easier to use
such small linear or radial distances of just a few kilometers.
Bob Clark