Showing posts with label clamshell wings. Show all posts
Showing posts with label clamshell wings. Show all posts

Thursday, April 10, 2025

Reentry of orbital stages without thermal protection, Page 2.

Copyright 2025 Robert Clark



SpaceX is having difficulty creating an effective thermal protection system. I think they should reconsider using wings for return. For instance using sufficiently lightweight wings, it may be possible no thermal protection would be needed at all.

This is the thesis put forward here. The idea behind it was an article that suggested with sufficiently low wing loading, weight per wing area, an orbital stage might need no thermal protection at all on reentry:


Wings in space.
by James C. McLane III
Monday, July 11, 2011
Wing loading (the vehicle’s weight divided by its wing surface area) is a prime parameter affecting flight. The antique aluminum Douglas DC-3 airliner had a big wing with a low loading of about 25 psf (pounds per square foot of wing surface). At the other end of the spectrum, the Space Shuttle orbiter has a high wing loading of about 120 psf. This loading, combined with an inefficient delta-shaped wing, makes the orbiter glide like a brick. A little Cessna 152 private plane features a wing loading of about 11 psf and modern gliders operate down around 7 psf. A space plane with huge lifting surfaces and a very low wing loading might not require any external thermal insulation at all. Building a space plane with a wing loading of, say, 10 psf should not be an impossible proposition. Perhaps some day it will be done.
http://www.thespacereview.com/article/1880/1

I discussed the possibility here:

Reentry of orbital stages without thermal protection? UPDATE: 7/1/2019
https://exoscientist.blogspot.com/2019/06/reentry-of-orbital-stages-without.html
(Note: I mistakenly used the half-surface area of a cylindrical stage in those calculations. This underestimates the wing loading, in psi units. So the stages discussed there appeared better than they actually were. In the calculations in this post, I’m using cross-sectional area.)

The proposer of this idea was the legendary spacecraft designer Maxime Faget, who was the chief designer of the Mercury capsule, the first U.S. manned space capsule. Then on that basis alone the possibility should be given serious consideration.

The parameter though used to measure the capability of a particular shape to slow down descent is not wing loading, weight divided by wing area, but the ballistic coefficient, (mass)/(drag coefficient*drag area), β = m/CDA, given in metric units, where the drag area is by cross-section. This takes into account the fact different shapes are more effective in slowing down the spacecraft by including the coefficient of drag CD as well as being more general than just looking at wings for the decelerator.

A couple of ways being investigated to get a lightweight decelerator are by using a inflatable and by using a foldable heat shield.

There are several variations of the inflatable heat shield idea, sometimes called a ‘ballute’. The most researched one is a conical inflatable heat shield. It’s being investigated for example as a heat shield to make the Cygnus cargo capsule reusable:





Here’s a research article on it:

HEART FLIGHT TEST OVERVIEW
9th INTERNATIONAL PLANETARY PROBE WORKSHOP 16-22 JUNE 2012, TOULOUSE
https://websites.isae-supaero.fr/IMG/pdf/137-heart-ippw-9_v04-tpsas.pdf

In this report, the mass used for their analysis is ca. 5,000 kg and the diameter of their conical decelerator is 8.3 meters. There is thermal protection applied but I gather less of it is needed since the conical aeroshell is just made of silicone rubber.

To get the low ballistic coefficient you want to minimize the dry mass of the upper stage or capsule being returned. This is a concept understood by spaceflight engineers: extra mass added to an upper stage subtracts directly from payload. So spaceflight engineers commonly try to minimize this dry mass.

I have discussed before I believe it is a mistake for SpaceX to want to go directly to a fully reusable upper stage. Elon Musk once estimated that an expendable Starship upper stage without fairing could be made at only 40 tons dry mass:

Elon Musk @ElonMusk
Probably no fairing either & just 3 Raptor Vacuum engines. Mass ratio of ~30 (1200 tons full, 40 tons empty) with Isp of 380. Then drop a few dozen modified Starlink satellites from empty engine bays with ~1600 Isp, MR 2. Spread out, see what’s there. Not impossible.
https://x.com/elonmusk/status/1111798912141017089?s=61

Now, in their attempts at making it fully reusable the dry mass has ballooned to ca. 160 tons or more. That huge dry mass is the primary reason why they are having difficulty finding effective thermal shielding.

Then in the following I’ll assume SpaceX does go first for an expendable Starship upper stage at ca. 40 tons dry mass. Then when they do proceed to reusability of the upper stage, if it is just ballistic coefficient determining the effectiveness of the heat shield, then for a spacecraft or stage about 9 times heavier than the HEART shield for the Cygnus, say, at 40,000+ kg, then the area needs to be 9 times more, that is, a conical shell about 25 meters in diameter.

BUT, the key questions is how does the mass of the decelerator scale with the size of the reentry spacecraft? In this report the added mass of the inflatable shield is a small proportion of the spacecraft being returned, in the range of 25%. But that is for a returned spacecraft of ca. 5,000 kg dry mass, with decelerator mass of ca. 1,300 kg.The report doesn’t discuss how the mass of the decelerator scales with size. You could make an argument it should scale with the cube of the decelerator diameter. The reason is because of not just the area increasing but the shield thickness also increasing to maintain shield strength. Then for a cone shield of 3 times larger diameter the mass would be 33 = 27 times heavier or 35,000 kg. That is quite larger percentage of the 40,000 kg stage dry mass. It is still much better than the 120+ ton added mass the Starship now has in the attempt to make it reusable.

On the hand, you could make an argument it should scale by the square of the diameter. The reason is you could use multiple copies of the smaller cone shields to cover the entire returning spacecraft. So it would be 32 = 9 times heavier or 9*1,300 = 11,700 kg being added to the dry mass. This would be a more palatable increase, if that is indeed the correct scaling.

This report though doesn’t give the maximum, i.e., stagnation temperature reached so it’s a little difficult to see if steel itself would be able to withstand the heating. It describes using layers of the Nextel thermal blankets so presumably this would also work for the Starship or other stages or capsules with the appropriate size conical shield for the reentry dry mass.

But we can make an estimate of what size wings for the Starship could get similar ballistic coefficient as the inflatable conical shell and therefore existing off-the-shelf Nextel thermal blankets would suffice for the thermal shield.

For the example considered in this report, the dry mass of the returning spacecraft is approx. 5,000 kg and the area on the inflatable is about 56 m2. Then the ratio of mass to area is about 100 kg/m2. But actually the ballistic coefficient also divides this by CD , the coefficient of drag. At hypersonic speeds the drag coefficient of a 55 degree half-angle cone is about 1.5, so the ballistic coefficient is of about 60 kg/m2.

For the expendable Starship at 40 tons, adding on the fairing at ca. 20 tons brings the total mass to ca. 60 tons. At a diameter of 9 meters and length of 50 meters, the cross sectional area is 450 m2. To calculate the ballistic coefficient also need the hypersonic drag coefficient. For a cylinder entering broadside that is about 2. Then the ballistic coefficient is 60,000/(2*450) = 66 kg/m2.

This is close enough for the Starship itself without wings only using existing Nextel thermal blankets to survive reentry for reuse as long as SpaceX starts with the lightweight value of the expendable version.

Another method for lightweight thermal shielding via low ballistic coefficient would use a foldable heat shield. This is the approach investigated by Dr. David Akin, of the University of Maryland, he calls it a ‘parashield’. He described it as used for a lightweight manned space capsule here:

Phoenix: A Low-Cost Commercial Approach to the Crew Exploration Vehicle
Abstract: Since the announcement of President Bush’s Vision for Space Exploration (VSE) in early 2004, the architecture of Project Constellation has been selected. The system will be centered around the Crew Exploration Vehicle (CEV), which has been dubbed by NASA administrator Michael Griffin as “Apollo on steroids”. The CEV is to be launched on a new launch vehicle, derived from existing shuttle technology. The development of this new
spacecraft and launch vehicle is a very costly proposition. An alternate approach is proposed in this study. The Phoenix is a smaller spacecraft designed specifically to be launched on the Falcon 5 vehicle under development by SpaceX. Because the SpaceX vehicle will cost only a fraction of today’s launch costs, the Phoenix is estimated to cost less than half of the price of the CEV. This reusable three person capsule utilizes an innovative re-entry concept, which allows for a cylindrical spacecraft with greater interior volume. This extremely cost-effective spacecraft is an attractive option for fulfilling VSE requirements.




 Here’s a research article on it:

SpaceOps 2010 Conference
25-30 April 2010, Huntsville, Alabama AIAA 2010-1928
Applications of Ultra-Low Ballistic Coefficient Entry Vehicles to Existing and Future Space Missions
David L. Akin∗
Space Systems Laboratory, University of Maryland, College Park, MD 20742
https://spacecraft.ssl.umd.edu/publications/2010/SpaceOps2010ParaShieldx.pdf





The author here uses units of N/m2 which is Pascals instead of kg/m2, perhaps because he wants to use units of pressure and to make an analogy to aircraft design’s “wing loading” units of pounds per unit area. But it is easy to convert to the more common kg/m2 by dividing by 9.81, i.e., approximately by 10.

Here he takes the desired ballistic coefficient as 200 Pa, about 20 kg/m2. This article does give the max stagnation temperature so we can estimate the size of wings needed to reach that ballistic coefficient. Quite notably in this report the peak heating only reaches 800°C. The author notes this is within the temperature range of off-the-shelf Nextel blankets to withstand. But that’s what would be needed for a standard aluminum structure. Stainless steel has a melting point in the range of ca. 1,400°C. Then it maybe no additional thermal shielding would be needed at all as long as wings allow it to reach this low ballistic coefficient.

The ballistic coefficient calculated above is about 60 kg/m2. Then we need 3 times higher cross-sectional area to bring that down to ca. 20 kg/m2, or likely more if we take into account the added mass.

As before with the inflatable conical decelerator we need to know how the ‘parashield’ mass scales with size. This isn’t provided in the research report. It could be by the cube of the diameter or by the square.

I’ll make an estimate based on just the “wings” being a flat sheet of the needed size. The thickness of the Starship walls is about 4mm. But it’s been speculated in a weight optimized design they could be as low as 2mm thick. Then I’ll use stainless steel at 2mm thick.

The hypersonic drag coefficient of a flat sheet is similar to that of a cylinder at ca. 2. Take the added wing cross-section as 36m*50m, added on to the 9*50 = 450 m2 cross-section of the cylindrical Starship. Then with a density of stainless-steel of 7,800 kg/m2, the ballistic coefficient calculates out to be:

(60,000 + .002*36*50*7,800)/2*(450 + 36*50) = 19.6 kg/m2, below the desired 20 kg/m2 point.

According to the assumption the ballistic coefficient is the deciding factor, it could be horizontal wings, delta wing, or the parashields spherical section. Like in the parashield design, additional high-strength spars might need to added to withstand the applied dynamic pressure during the hypersonic/supersonic/subsonic regimes.

But the ‘wing’ is only intended to support the structure on return when the tanks are nearly empty. They might not be able to support it when fully fueled. So the Starship would have to insure to fly a non-lifting trajectory during ascent. It might further be required for the ‘wing’ to be folded away during ascent, only deploying on return.

That the wing only supports the nearly empty weight of the structure during return suggests it could be made even thinner. For instance the Centaur V upper stage at a gross weight of ca. 60 tons has stainless-steel tanks walls only 1mm thick:



Using now a smaller wing cross-section of 18*50, the ballistic coefficient would be:
(60,000 + .001*18*50*7,800)/2*(450 + 18*50) = 24.8 kg/m2.

Given the leeway between the 800°C max temperature at 20 kg/m^2 and the 1,400°C melting point of steel this would likely still be sufficient for the stainless-steel structure not needing further thermal protection.

If the added wing could be made this thin then the added weight would only be .001*18*50*7,800 = 7,020 kg, compared to the 60,000 kg of the Starship dry mass+fairing weight.

The importance of such lightweight orbital decelerators has now increased importance now that the Air Force wants rocket cargo point-to-point delivery:

Air Force picks remote Pacific atoll as site for cargo rocket trials
By SETH ROBSON STARS AND STRIPES • March 4, 2025
https://www.stripes.com/theaters/asia_pacific/2025-03-04/cargo-rocket-pacific-johnston-atoll-air-force-17026030.html

The plan is for fully reusable launchers but note these decelerators could still be used to send the cargo back down to their delivery points even with expendable launchers or partially reusable launchers where the only the first stage is reused and the upper stage is expendable. This means they can be used to delivery cargo now with the Falcon 9, and soon with the Rocket Labs Neutron and Blue Origin’s New Glenn, also planned to be partially reusable.

Sierra Space has also already contracted with the Air Force to deliver supplies that were already preloaded and stored in space to distant locations:

Sierra Space Ghost: Revolutionizing Global Logistics
OCTOBER 3, 2024


https://www.sierraspace.com/press-releases/sierra-space-ghost-revolutionizing-global-logistics/


But the very same method can be used as the orbital decelerator for a rocket cargo point-to-point delivery system. Notably, the Sierra Space method is quite analogous to the Akin’s parashield method.

High Hypersonic Lift/Drag Ratio Used for Return From Orbit.

The above discussed methods are useful for just drag decelerators. But the discussion is incomplete for winged reentry because it does not include the effects of lift. For instance if wings with high lift/drag ratio at hypersonic speeds were used the descent rate would be decreased even further, thus further decreasing the heating rate, and thereby allowing a lighter reentry system. The hypersonic aerodynamics of the Space Shuttle have been described as falling “like a brick” with a quite low hypersonic L/D ratio of about 1, thus necessitating it’s heavy thermal protection. Then wings with high hypersonic L/D ratio could greatly improve on this.

This possibility is discussed here:

Clamshell wings for hypersonic reentry of rocket stages. UPDATED, May 4, 2023.


https://exoscientist.blogspot.com/2023/02/clamshell-wings-for-hypersonic-reentry.html

In this approach there would be no extra added weight for the decelerator at all for a returning rocket stage, just the fairing or propellant tank itself as the wings.




    Robert Clark

Thursday, July 13, 2023

Low cost commercial Mars Sample Return.

 Copyright 2023 Robert Clark


Introduction.

 Mars Sample Return is again being discussed by NASA, as it was 10 years ago. And as was the case then the chief stumbling block is the $10 billion price tag. However, if done as a fully commercial space mission, i.e., no governmental funding required, it could be done for a fraction of the amount NASA is estimating, probably for a few hundred million dollars, including the launch cost on the Falcon Heavy. 

SpaceX has shown that development costs for rockets can be done at 1/10th the cost of usual government financed rockets by following the commercial space approach. The same was proven for spacecraft in the form of capsules when SpaceX developed the Dragon at 1/10th the usual cost.

 And Planet Labs was able to produce small, highly functional imaging satellites at a fraction of the cost of usual imaging satellites.

 This plus using already existing in-space stages rather than developing entire new ones can greatly reduce the development cost of such a mission. 

 Here, I will propose a solution using a fully aerocapture approach to landing, meaning braking fully aerodynamically, at Mars to minimize the propulsive burns and therefore propellant that is needed on arrival at Mars. Below we'll discuss some possibilities for this hypersonic slowing. First, the delta-v requirements for such a mission.

Delta-V to and From Mars.

Here is a map of delta-v's for some locations in Earth-Moon-Mars space:

Delta-v's between Earth, Moon and Mars.



LEO to GTO:                    2.5 km/s
GTO to Earth C3:               .7 km/s
Earth C3 to Mars transfer:   .6 km/s

Now notice for the delta-v's after this leading into Mars they all have red arrows indicating this part of the trip can be done by aerocapture/aerobraking. So this portion of the flight leaving Earth orbit headed towards Mars, and landing on the surface is only 3.8 km/s, assuming all the slowing on reaching Mars is done aerodynamically.

 After that, for the return trip:

Mars(surface) to low Mars orbit:     4.1 km/s
Low Mars orbit to Phobos transfer:    .9 km/s
Phobos transfer to Deimos transfer:  .3 km/s
Deimos transfer to Mars C3:            .2 km/s
Mars C3 to Mars transfer:               .9 km/s

Now the delta-v's after this leading from the graph into Earth all have red arrows indicating this part of the trip can be done by aerobraking. So the return part of the trip can amount to only 6.4 km/s, for a total of 10.2 km/s for the round trip, if the final part of the trip of returning to the Earth's surface is done fully by aerodynamic braking, i.e., not using propulsive burns.

 As for the heat shield for these Mars return velocities notice that the SpaceX Dragon's PICA-X heat shield was designed to withstand such velocities. It reportedly weighs only half of Apollo era heat shields which would put it at about 8% of the landed mass.

However, for the sample being returned to Earth from Mars there is concern that there may be unknown microorganisms. So current plans include the sample being returned only to Earth orbit or to lunar orbit. Thereafter, the sample would be studied in some orbiting facility only or be placed in a special canister with several redundant layers of security for return to Earth designed not to be breached even if it crashes on return to Earth's surface.

 In such case, we have two additional steps in the delta-v chart:

Mars transfer to Earth C3:  .6 km/s
Earth C3 to GTO:               .7 km/s

 For a total of 6.4 km/s +.6 km/s + .7 km/s = 7.7 km/s.

 This would be for when the sample is returned to geosynchronous transfer orbit(GTO). This is an intermediate orbit for getting to actual geosynchronous orbit. It is a highly elliptical orbit with closest point in low Earth orbit and farthest point at geosynchronous altitude of 35,700 km.

 The other possibility would be to send instead to lunar orbit. Then the additional delta-v steps would be:

Mars transfer to Earth C3:  .6 km/s
Earth C3 to lunar orbit:      .7 km/s

 The total delta-v for the return this time to lunar orbit would also be 7.7 km/s. 

Now for the rocket stages for getting to Mars and returning a sample back. First, we'll use the Falcon Heavy for lofting the in-space stages first into space. Falcon Heavy has a payload capacity of 63.8 tons to LEO, but only 16.8 tons to Mars transfer orbit(MTO). This is a trajectory that sends a spacecraft to encounter Mars in its orbit about the Sun, but makes no attempt to actually enter orbit around Mars. This is the scenario we are considering where, once reaching Mars, the entire braking and landing on the surface is done aerodynamically.

So we have 16.8 tons to work with for in-space stages with capacity to lift off from Mars, fire a burn to direct the return craft back to Earth, and finally make the burn to put the craft in GTO orbit or lunar orbit.

 We'll select existing stages using storable propellant for the in-space stages for this mission that may take up to 3 years round trip duration.

For the first in-space stage we'll use the Ariane 5's EPS storable propellant stage



 This has about ~9.8 ton propellant load and ~1.3 ton dry mass. It uses the Aestus storable propellant, pressure-fed engine at about 324 s vacuum Isp at an 84 to 1 expansion ratio. However, an upgraded version turbopump-fed got 340 s vacuum Isp at 300 to 1 expansion ratio. Astronautix.com lists its price as $6 million.
 
 After that, we'll use two copies of the Integrated Apogee Boost Stage(IABS), at about 1.3 tons storable propellant load and about .275 ton dry mass.



 This stage had an vacuum Isp of 312 s. However, for an in-space only stage vacuum Isp is primarily a function of expansion ratio so we'll assume we can also give it a vacuum isp of 340 s with sufficiently large nozzle of ca. 300 to 1 area expansion ratio. Astronautix.com lists its price as $15 million.

 Then with these three stages we can get about .75 tons, 750 kg, payload to reach the 7.7 km/s delta-v needed for the round trip to Mars and back:

3400(Ln(1 + 1.3/(.275 + .75)) + Ln(1 + 1.3/(.275 + 1.575 + .75)) + Ln(1 + 9.8/(1.3 + 1.575 + 1.575 + .75))) = 7,760 m/s, 7.76 km/s.

 The total mass of all the stages and the payload is 15 tons, within the 16.8 ton limit of the Falcon Heavy to put into Mars Transfer Orbit(MTO).
 

Full Aerocapture/Aerobraking for Landing at Mars.

 The question of using aerocapture at Mars is a major question at NASA now for large payloads in the 15 tons to 25 tons range for landing of human habitats for manned missions to Mars. The earlier methods for landing using to a large extent propulsive landing would require a prohibitive amount of propellant (for the usual propulsion methods. However see below.) 

 On the other land using just parachutes or spherical section reentry capsules because of the thin atmosphere would also be insufficient for such large payloads. See discussion here:

The Mars Landing Approach: Getting Large Payloads to the Surface of the Red Planet.
JULY 17, 2007 BY NANCY ATKINSON
Some proponents of human missions to Mars say we have the technology today to send people to the Red Planet. But do we? Rob Manning of the Jet Propulsion Laboratory discusses the intricacies of entry, descent and landing and what needs to be done to make humans on Mars a reality.

There’s no comfort in the statistics for missions to Mars. To date over 60% of the missions have failed. The scientists and engineers of these undertakings use phrases like “Six Minutes of Terror,” and “The Great Galactic Ghoul” to illustrate their experiences, evidence of the anxiety that’s evoked by sending a robotic spacecraft to Mars — even among those who have devoted their careers to the task. But mention sending a human mission to land on the Red Planet, with payloads several factors larger than an unmanned spacecraft and the trepidation among that same group grows even larger. Why?

Nobody knows how to do it.


  One possibility for how to do it is hypersonic waveriders:

Hypersonic waveriders for planetary atmospheres.
December 1989 Journal of Spacecraft and Rockets -1(4)
DOI: 10.2514/3.26259
Anderson, John D., Jr MARK J. LEWIS, Ajay Kothari, Stephen Corda
International Hypersonic Waverider Symposium, 1st, University of Maryland, College Park, MD, Oct. 17-19, 1990, Proceedings
Article
January 1990
The concept of a hypersonic waverider for application in foreign planetary atmospheres is explored, particularly in regard to aero-assist for space vehicle trajectory modification. The overall concept of hypersonic waveriders is discussed in tutorial fashion. A review of past work is given, and the role of a new family of waveriders - the viscous optimized waveriders generated at the University of Maryland - is highlighted. The mechanics of trajectory modification by aerodynamic vehicles with high lift-to-drag ratios in planetary atmospheres is explored. Actual hypersonic waverider designs for Mars and Venus atmospheres are presented. These are the first waveriders ever presented for foreign planetary atmospheres. Moreover, they exhibit very high lift-to-drag ratios, as high as 15 in the Venus atmosphere. These results graphically demonstrate that a hypersonic waverider is a viable candidate for aero-assist maneuvers in foreign planetary atmospheres.



  As shown if Figure 4 from the article, the hypersonic L/D ratio with waveriders can approach 10. 

Further examination of hypersonic waveriders for reentry given here:

An overview of research on waverider design methodology

  • August 2017
  • Acta Astronautica 140
  •  

     
     A variation on that idea is clam-shell wings during reentry: 

    Clamshell wings for hypersonic reentry of rocket stages. UPDATED, May 4, 2023.

     An advantage of this over usual caret-shaped hypersonic waveriders is that split in two parts and being curved they can they can more than double the underside surface area.




      Falcon 9 opened up fairing as clam-shell wings.
      Renders Credit Caspar Stanley 
     Research has shown that further lift can be provided by hypersonic bi-foils:


      
     A key advantage of such high hypersonic L/D ratios, is that using lift we can curve the craft around the planet giving it further time to slow down in contrast to traveling in a straight-line and exiting the planets atmosphere with insufficient braking to fall below the planets escape velocity.

    Possible Light Weight Propulsive Methods for Landing.

     Because of the high delta-v requirements for such a mission it was thought the propellant requirements for a propulsive landing would be prohibitive. However, at least two different methods might make it possible, both by getting all or part of the propellant from the Martian atmosphere.

    1.)On Earth, oxygen is the common oxidizer for burning. However some metals in such as magnesium and aluminum burn quite well in a carbon dioxide atmosphere, especially as fine powdered particles:

    The General Chemistry Demo Lab
    Reaction Of Magnesium Metal With Carbon Dioxide.

    Original Articles
    Combustion of Aluminum Particles in Carbon Dioxide
    SERGIO ROSSI,EDWARD L DREIZIN &CHUNG K. LAW
    Pages 209-237 | Received 05 May 2000, Accepted 30 Nov 2000, Published online: 27 Apr 2007

    2.)Both oxygen and carbon monoxide from the Martian atmosphere. 
    That Mars atmosphere is overwhelmingly carbon dioxide is well known. However, it is notable that it contains small amounts of oxygen and carbon monoxide. 

     

    This is quite important because carbon monoxide can be made to combust in oxygen by the reaction:

    2CO+O22CO2;ΔH=569kJ/mol

     This is not as high energy reaction as hydrogen or methane with oxygen but may be enough to provide sufficient thrust to slow down the craft to enable a soft landing via parachutes. 

     We have then though a similar problem as with scramjet propulsion on Earth. The craft will be moving so fast there might not be enough time for combustion to take place. The problem is made worse because there is additional time that must be taken to separate out by filtration the carbon monoxide and oxygen from the carbon dioxide.

     Still, whether or not this problem can be solved, it is extremely important that this reaction be employed for ISRU once down on Mars. A criticism of the approach of SpaceX of landing the large Starship on Mars is the high energy requirements of producing the methane propellant requiring separating oxygen and hydrogen water(ice) in the soil by electrolysis.

     For a vehicle the size of the Starship Robert Zubrin has suggested it might take  10 football fields of solar panels or even take a nuclear power plant. However, when CO can be obtained from low energy filtration from the Martian atmosphere then free hydrogen for propulsion can be obtained by the reaction:

    CO + H2O → CO2 + H2,  ΔH = -41 kJ mol-1
     
     You can then get methane if that is the preferred fuel over hydrogen by reacting the free hydrogen with CO2 by the famous Sabatier reaction:

     H = −165.0 kJ/mol
     
     So obtaining free O2 and CO from the Marian atmosphere by low energy filtration makes obtaining propellant for the return flight for manned missions much more feasible.

    Financing a Commercial Approach to a Mars Sample Return Mission.

     If this is to be a fully commercial mission how is it to be funded?

     Recall back in 1997 the great interest over the internet from people world-wide on the Mars Pathfinder mission. The Mars Pathfinder mission actually "broke the internet", with its sites getting up to 60+ million total hits per day, to the extent some mirror sites crashed or had to have access limited:

    Traffic on Mars
    by Chuck Toporek
    Asst. Managing Editor
    Web Review
    However, the most interesting and little known fact about the amount of traffic to the mirror sites comes from France, where the government actually pleaded with computer users to stop accessing the two Mars Pathfinder mirrors. You see, the phone systems in France carry all of the Internet traffic in the country, so when people started visiting the mirror sites at VisuaNet and Le Centre National D'Etudes Spatiales (CNES), they tied up the phone lines and basically disabled the country.
    http://mars.jpl.nasa.gov/MPF/press/webreview/index4.html

     The web traffic to the NASA web site for the Mars Exploration Rovers was even more extraordinary, measuring in the billions of hits:

    NASA’s Web Site for 2005
    By Digital Trends Staff — January 7, 2005
    The U.S. National Aeronautics and Space Administration Web portal continues to drive high traffic numbers — more than 17 billion hits in 2004, report both NASA and Speedera Networks, a leading global provider of on-demand distributed application hosting and content delivery services. Speedera delivers content from the space agency’s portal to visitors seeking access to the site from around the world. Popular events on the NASA Web site, including the ongoing Mars Exploration Rover mission entering its remarkable second year, as well as upcoming major projects such as the launch and comet encounter of NASA’s Deep Impact satellite mission in 2005, are expected to drive continued high levels of traffic, according to NASA officials.
    http://www.digitaltrends.com/computing/nasas-web-site-for-2005/

     It was estimated there were 142 million visits to the site during this period. So the question is how much advertising could be sold for a site this well visited?

     It could be financed in the fashion of YouTube videos where the content creator is paid according to the number of views of the video:
    How much do YouTubers make? 2023 facts and figures.
    Edited by:
    Erin Dunn • 
    May 23, 2023
    Curious about how much money YouTubers make per view? YouTubers make an average of $0.018 per ad view, according to Influencer Market Hub. Rates can range from $0.10 to $0.30 per ad view. However, the amount of money YouTube pays depends on a variety of factors, such as:
    • The number of views your video receives...
     The most successful YouTube millionaires however make even more money by partnering with advertisers on their channels. Then the financial backers of the mission could sell the rights for products to be associated with financing the mission.
      Robert Clark

    Thursday, February 16, 2023

    Clamshell wings for hypersonic reentry of rocket stages. UPDATED, May 4, 2023.

     Copyright 2023 Robert Clark

    (Patent pending)

     It is known that large wings can reduce the speed and therefore aerodynamic heating a stage can experience during reentry. But such wings would induce high drag on ascent in addition to their high weight.

     A proposal to solve both of these issues: wings that open up from the stage sides or from the fairing for the upper stage, clamshell wings.


    An overview of research on waverider design methodology

  • August 2017
  • Acta Astronautica 140
  •    The curved shape of the wings around the cylindrical rocket when opened up would provide both high lift and drags, important for the hypersonic reentry.

     For a reusable lower stage, though it would be difficult to maintain the structural integrity of the tanks for reuse when they open up to be wings, especially for maintaining a leakproof seal for the next flight. If this is to be used for a lower stage, the clamshell wings would have to be added around the stage. This would reduce the weight efficiency of the stage. However, quite likely they would still weigh quite a bit less than the propellant that has to be kept on reserve, unused, during ascent, for use for return to launch site.

     For the SuperHeavy it’s to be 7% of the propellant mass or 250 tons being kept on reserve for return to launch site. This high amount of propellant kept on reserve is a large part of the reason why the reusable versions of the Starship/SuperHeavy, just as with the Falcon 9 lose so much on reusability, 30% for partial reusability, and 50% for full reusability. 

    The clamshell wings around the tanks likely can be designed to be well less than the mass of the tanks, which for the SuperHeavy is in the range of 80 tons. Wings in general commonly weigh in the range of 5% to 10% of the aircraft weight to be carried. This would be quite heavy if they had to support the fully fueled weight of the vehicle, as is normally the case with aircraft. Note though the wings would be closed around the tanks on ascent and would only open up to support the dry mass on return. Elon has estimated the dry mass of the SuperHeavy as less than 200 tons, so only at most 10 to 20 tons would be added to the stage weight, far less than the 250 tons of propellant needing to be carried now as “deadweight” during ascent. 

     For this to work you would want the clamshell wings to have high lift and drag at hypersonic speeds. The Space Shuttle for example has been described as a flying brick at hypersonic speeds having a hypersonic L/D at about 1, though its subsonic L/D was better at about 4.5. The clamshell wings will quite likely have high hypersonic L/D because of the prior research done on caret-wing hypersonic waveriders:

       The clamshell wings would be analogous in shape to the caret-shaped waveriders able to achieve high hypersonic L/D. During the return flight, we can also imagine achieving high levels of control by varying the angle on each side of the wing.



        Falcon 9 opened up fairing as clam-shell wings.
        Renders Credit Caspar Stanley 



      Starship fairing opened up as clam-shell wings.
      Renders Credit Caspar Stanley

           In this case though the fairings are returned, in separate halves, with the convex outer side downwards facing the airstream. We are proposing instead having the concave inner side facing the airstream. This will provide greater L/D drag ratio and also greater drag in that at high altitude hypersonic speed the clam-shell wings will be analogous to hypersonic waverider caret-shaped wings and then at low altitude, slow speed they can act as a parachute.

           This second mode is rather analogous to the Rogallo wing concept that had been proposed for capsule return from space:
      High Wing Area per Weight Gives Lower Reentry Heating.

         If you can make this extra surface be lightweight then you would get low wing loading. The importance of low wing loading for reentry for spaceplanes is discussed here:

      Wings in space.

      by James C. McLane III
      Monday, July 11, 2011
      http://www.thespacereview.com/article/1880/1

      At the end of the article there is this passage:

      Wing loading (the vehicle’s weight divided by its wing surface area) is a prime parameter affecting flight. The antique aluminum Douglas DC-3 airliner had a big wing with a low loading of about 25 psf (pounds per square foot of wing surface). At the other end of the spectrum, the Space Shuttle orbiter has a high wing loading of about 120 psf. This loading, combined with an inefficient delta-shaped wing, makes the orbiter glide like a brick. A little Cessna 152 private plane features a wing loading of about 11 psf and modern gliders operate down around 7 psf. A space plane with huge lifting surfaces and a very low wing loading might not require any external thermal insulation at all. Building a space plane with a wing loading of, say, 10 psf should not be an impossible proposition. Perhaps some day it will be done.

      {emphasis added}

      Moreover, because of their curved shape they should be even more effective at slowing down the descent during reentry at high angles of attack, like a parachute.

      I estimated the wing loading using this clamshell wing idea for the new Falcon 9 FT first stage, assuming they added a proportionally small amount to the weight. I used the specifications here:

      Falcon 9 FT (Falcon 9 v1.2).
      http://spaceflight101.com/spacerockets/falcon-9-ft

      The dimensions given there are listed as 42.6 meters long and 3.66 meters in diameter, at a dry mass of 22,200 kg.

        Regarding the stage horizontally, you would have to put the swing points along the sides, rather than at the top, so that the clamshell wing on each side could open without blocking the opening of the clamshell wing on the other side. This means the wing area would be half that of the full surface area. So the surface area is (1/2)*Pi*3.66*42.6 = 244.9 m^2, 244.9*3.28^2 = 2634.86 ft^2.

      The dry mass is 22,200 kg, 22,200*2.2 = 48,840 lbs. So the wing loading is 48,840/ 2634.86 = 18.5 pounds per square foot(psf). This is not 10 psf, but it is significantly better than the shuttle, and with the reduction in descent due to the curved surface this might still be enough to require minimal thermal shielding.

      Also, we might be able to get additional wing area by putting clamshell wings on the upper surface, though not the same size as the lower ones so that all can open fully. This would essentially be a hypersonic biplane. It is known biplanes increase left at subsonic speeds. Recent research shows this also happens at hypersonic speeds.

      The hypersonic I Plane has a unique biplane configuration to increase its payload and reduce drag. China Science Press


       For attitude control we allow the swing points to be moved up or down.

      For making upper stages reusable.

       SpaceX has wanted to make the Falcon 9 upper stage reusable but has been unable to do so. This method can allow the upper stage to be reusable as well as providing a simpler approach to recovering the fairing.

       The upper stage dry mass of the Falcon 9 is about 4 tons. Then a 5% wing mass using the clamshell approach would only be an additional 200 kg, a small reduction in the payload mass. Note also the high wing area afforded by a clamshell wing approach would reduce the reentry heating as well.

       For the fairing we could allow the fairing itself to open up to form the clamshell wings. Unlike the case for the propellant tanks, you don’t have the need for the high degree precision and accuracy for closing up the wings for reuse for just the fairing.

       Another possibility might not detach the fairing at all. The fairing would be carried to orbit along with the upper stage. It would open up like a clamshell to release the payload. Then it would remain in the open position for fly back to the launch site, serving as the wings for the upper stage as well. This has the advantage of not having to recover and reintegrate the fairing and upper stage separately, but more importantly it's a simpler task than attaching variable clamshell wings to propellant tanks without damaging the structural integrity of the tanks. At a mass of the fairing at about 2 tons for the Falcon 9, this would subtract about 300 kg from the payload instead of just 200 kg for the case where the fairing was detached and clamshell wings applied to the upper stage. Actually, it would be a little better than this since the fairing being jettisoned so high in the flight, it subtracts nearly it’s weight from the payload anyway.

       Aerobraking is the proposal to slow down at Mars aerodynamically only, not using thrusters which would require carrying extra propellant at arrival. For several years hypersonic waveriders have been proposed to accomplish it:

      •  This would be especially important if we want to reduce the travel time to Mars to limit the health effects due to high energy cosmic rays and long exposure to zero gravity, rather than the commonly proposed 6 to 8 months.
          Interestingly the SpaceX Starship upper stage if fully refueled in orbit could achieve a 12 km/s delta-v. This would be sufficient to get a small habitat for a small exploration team to Mars in 35 days.


      Fully aerodynamic landing at Mars, aerobraking.

           Such high departure speeds would result in high arrival speeds at Mars as well, in the range of 20 km/s. I’m proposing clamshell wings emulating caret-shaped waveriders perhaps in biplane format, by approaching at low altitude, “skimming the tree-tops” so to speak, can accomplish aerobraking at Mars to land without propellant burn.
           Further modeling needs to be done to confirm this.
            Robert Clark

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