BFR and MCT; some thoughts on what they may look like, and
what they will be able to do.
There’s been much speculation on what SpaceX’s “BFR” (a non
official designation meaning “big freaking rocket”, or other variants of the
middle word). What’s known is it will use Raptor methlox staged combustion
engines, and the design intent it to make it totally reusable. The specs on
Raptor keep changing, and I highly doubt SpaceX will settle on a BFR design
until the engine design is finalized (doing otherwise would be insane).
So, let’s work with what we’ve got; BFR will be big, and be
reusable, and use Methlox. It will have a low cost per pound to orbit (or it
won’t be built). It will also carry MCT (Mars Colonial Transport) to orbit on
some missions.
Now lets get into the specs, and the first spec to look at
is, of course, $$$. Developing BRF and Raptor will cost one heck of a lot. It’s
been theorized that SpaceX will pay this out of pocket and use BFR for nothing
but its own Mars launches. I consider this preposterous; we’re talking
billions, and there’s no reason to do it that way, so why not save that money
for other purposes? SpaceX has always optimized for cost.
BFR is planned to be a very large, fully reusable, system,
and thus should have a very low cost per pound to LEO. I’ve long argued that
they’ll offset R&D and construction costs the way they always have; by
selling launches. Why wouldn’t they? The counter argument has always been that
there’s no call for that much capacity, but SpaceX’s recent announcement of a
4025 satellite constellation, plus other companies being interested in such
large constellations, blows that argument out of the water; there may well be,
and soon, plenty of demand for a large low-cost-per-pound launcher. Selling
such launches (or using them internally to launch revenue-generating sats) is
IMHO how SpaceX will offset the R&D and construction costs of BFR. One
result of this will be a far lower per-Mars-mission launch cost – because the
infrastructure will already exist, and will have been paid for. (A current
example of this dynamic; SpaceX is using paid-for expendable launches to
develop its reusable F9R).
Now, this gets us to MCT, the Mars vehicle itself. SpaceX
has released little but the name and payload capacity, so there has been much
speculation. Much of the speculation claims that MCT will be able to go, on its
own power, from LEO to a landing on the surface of Mars, and then (after
tanking up ISRU) return from the Mars surface to Earth’s surface. The inherent
problem with this concept is the rocket equation and the fuel fraction
required. Building a craft able to land on Mars, as well as fly a reentry and
land on Earth, requires one heck of a lot of dedicated mass (heatsheild, airo
surfaces, landing engines for Mars, and above all structural strength). Let’s
use a Boeing 747 airliner as an example; its cargo capacity (cargo version)
maxes at 123 tons, within the ballpark for MCT’s claimed 100 tons payload
capacity to Mars. The 747, bare bones empty (without fuel or cargo) masses 128
tons. So, one ton of cargo for roughly 1 ton of aircraft. Not too bad… but if
you start adding things like heat shielding and life support, plus the heavier
pressurized compartment needed for space, you’re increasing it by a lot.
For comparison, the Space Shuttle orbiter had a dry mass of
110 tons, and could loft 25 tons, a ratio of greater than 4 to 1 (and the
Shuttle didn’t carry its primary fuel internally, so didn’t have the mass of
the external fuel tank counted). So, let’s say that, via some magical
engineering a liberal use of unobtainium as a structural element, you can get a
better mass/payload ratio than Shuttle (with its tiny pressurized volume and no
significant internal tankage) when scaled up to the size of a 747’s internal
volume and cargo capacity. Let’s call it a 4-1 ratio.
Where does that leave us with a postulated surface-surface
MCT? It has to be able to land on Earth and on Mars, as well as have all the
life support and other equipment needed for long-duration deep-space missions.
Let’s be optimistic and assume the 4-1 ratio above, and we get 400 tons. But,
we’re forgetting something; the fuel tanks. Shuttle didn’t include them in the
airframe (except the small hypergolic supply) but airliners do (and doing so
adds a lot of mass). The heat shielding shielding, and structure, has to
protect the fuel tanks too, which means it’s huge, and thus heavy. However,
we’ll be super optimistic and say the airframe can be enlarged to hold it all
by simply adding 147 tons (If that sounds like a lot, it isn’t, as we’ll see in
a bit). So, a surface-to-surface MCT with 100 tons of cargo masses, unfueled,
at a very optimistic 647 tons. That’s our dry weight – everything but fuel.
There’s also the matter of internal pressurized volume.
Again using an airliner as an example, the 747 has around 32,000 cubic feet –
and so, for comparison, does ISS. ISS has a crew of 6, though could handle a
few more. However, let’s use the 747 – ISS internal volume and assume it’d be
enough for 100 people. (for comparison, the 747 carries 500, but does so in
such cramped confines that a 6 hour flight in one is bad, and a 15 hour flight
is unmitigated hell). Even if we postulate horrific crowding, you’d need at
least that much volume (probably more) to accommodate 100 people for a
months-long journey. However, we’ll assume the aforementioned magic engineering
and say that a surface to surface MCT (which has to deal with reentry and landing
on both earth and Mars, as well as long-duration deep space capability) will
mass 647 tons.
So, let’s say you have your surface-to-surface MCT in LEO,
and want to go to Mars. How much fuel do you need? Fortunately, that’s easy to
figure out; the rocket equation. The optimal Trans Mars Injection burn (least
delta/V, but a rare window) is 4.7 KPS. This assumes essentially zero
propulsion for Mars orbital insertion (which can be done via aerobraking or
multi pass aerocapture) and the landing itself. For the latter, we’ll be
optimistic and say .3 kps (which is less than the F9R recovery profile, even
without full boostback). That gives us a
needed delta/V of 5kps, so time to tank up! Calculating how much is easy; we’ll
assume 380 ISP for Raptor Vac, the most likely engine choice. We already have
our dry mass of 647 tons. The rocket equation gives a fuel requirement of 1833
tons (, but there are always boiloff losses, margins, etc, to consider, so add
10%, and we need 2016 tons of fuel. That gives us a fueled MCT mass in Leo of
2663 tons (about 3X the mass of ISS).
Now, how do we get a 647 ton MCT to Leo? This is what’s
called, in engineering terms, a bit of a problem. BFR is going to need to be
really, really, really big. A Saturn 5 could put 118 tons into LEO. However,
MCT will take a performance hit due to reusability, so at best you’ll need a
BFR significantly larger than a Saturn 5 just to equal a Saturn 5’s payload.
But, our postulated MCT, unfueled, is 6 times the capability of a Saturn 5. A
BFR that could launch it thus can’t be 3 cores, each the size of a Saturn 5.
You’re going to need something massing 10 times the Saturn 5 – far larger than
any estimate I’ve ever seen for BFR, and also beyond the realm of the plausible
(either fiscally or physically).
You’re also going to need the equivalent of 17 Saturn 5
launches just to fuel up one MCT. You’ll also need one hell of a lot of ISRU
fuel production on Mars to refuel it once it gets there.
All this begs the question; why do it that way and spend so
much fuel boosting, for example, the earth-entry structures all the way to Mars
and back? Or the Mars entry and landing systems all the way to Earth and back?
Why not do it much more economically from every perspective, and do so in a way
that gives you a far more versatile system? It’s the same problem that makes
Orion such a pathetic design; you’re hauling along a huge mass because you’re
treating your living space as the reentry vehicle. Far, far better to use a
very small RV, like Soyuz’s, for the RV, and use a lightweight hab for the
rest.
So, given the implausibility above of a surface-to-surface
MCT, what might an optimized MCT-BFR system look like? MCT would not land on
either earth or mars; it would be a space-only vehicle, thus saving enormous
mass. A good example of such a craft would be a space station module; an
inflatable one, such as Bigelow is building… let’s use their BA-330 design for
a starting point. Once inflated, it’s big; 11,654 square feet internal volume
(for comparison, ISS has 32,333, roughly akin to a 747) It’s a space station
module, thus has life support, etc, included. Mass? 20 tons. It’s not big
enough though… so you’d need more. Let’s assume 4 linked together. That gives
you redundancy too, plus an internal volume of 46,616 square feet. Mass? 80
tons empty – which interestingly, is 4/5th the mass figure SpaceX
gives for MCT- 100 tons empty. That’s also far more realistic an internal
volume for 100 people, plus the needed life support equipment and consumables.
It’s designed as a space station, so it has the ability, inherently, to exist
in space long-term, no need to land.
However- we need propulsion and fuel. So, add a 5th
inflatable module, because inflatables would be ideal for fuel storage in space
– why waste the mass needed for a rigid tank like the Shuttle ET? I’ll assume
20 tons (it’d be a lot lighter than a hab module, but it’d need a Raptor engine
and thrust structure – perhaps two Raptors, for redundancy)
Okay, we have our 5-module MCT. Now, we need to get it to
Mars. We’ll do the same rocket equation as above, and so our 200 ton (100 ton
empty mass, plus 100 tons of cargo or humans plus supplies) MCT needs 565 tons
of propellant to push it through TMI from LEO. However, this MCT doesn’t land
on Earth or Mars, so there’s no reason to waste Delta-V by going deep into the
gravity wells of Earth and Mars; high-energy orbits will be far better. Let’s
use geosynchronous transfer orbit as an example for Earth, and a similar orbit
for Mars. That has a major impact on the needed Delta/V. Instead of 5 kps
propulsive ability (Leo to Mars landing, assuming aerobraking) we need 1.3 kps
(assuming multipass airocapture into Mars GTO). Now, what does that do to our
fuel requirement? It reduces it from 565 tons to 85 tons. (Quite a big difference from the 2016 tons of
fuel a surface-to-surface MCT would need to get from LEO to Mars! It’s reduced
our fuel (all of it very expensive upmass) needed by 96%). We also save on
margins by omitting the need to haul decent fuel (with resulting losses) all
the way to Mars.
However, we still need to get to and from the surface of
Mars. The surface-to-surface MCT could do it, but the space-only one can’t –
it’s limited to orbit. Fortunately, the answer lies in the launch vehicle, the
BFR; the reusable upper stage, to be exact. Any upper stage that can return
from orbit to Earth is going to be light, about the density/volume ratio of an
empty beer can. Thus, even in Mars’ very thin atmosphere, terminal velocity
should be in the low supersonic range. That makes for an easy propulsive
landing (it already has a heat shield, due to needing one to reenter on Earth).
It already has landing legs, too. With some minor modifications (incorporated
into the original design), it should be able to land on Mars, and carry a
payload while doing so. Once on Mars, it can fuel up from ISRU, and function as
a very capable SSTO – with at least the same payload as the full BFR’s max
capacity from Earth – Mars’ far lower gravity, and thus orbital speed, makes SSTO
easy. The MCT would arrive in an
eccentric (Basically, Martian GTO) Mars orbit, and be met by a BFR upper stage
from the surface. If the stage had a payload shroud, cargo could be placed
within it for the trip to the surface. A pressurized compartment would do the
same for people, or, something akin to Red Dragons could function as landers
(and then be returned to orbit by the BFR stage, which could loft more than
enough to carry 100 people down – for a trip of less than an hour, 10 could fit
in a Dragon).
So, a BFR upper stage, you have your needed Mars
ascent/decent vehicle.
Now what about getting the MCT from Mars to Earth? Easier. The
BFR stage brings fuel and cargo and/or passengers. You then need 1.1 kps, with multipass
aerocapture (which does not require heat shielding) to get from Mars GTO to
Earth, and brake into GTO at Earth. From there, high capacity (10 seat) Dragons
could deliver any crew to earth, or a simple, small, orbital tug could transfer
any cargo to LEO (again using areocapture). A likely cargo (seeing as how MCT
would otherwise be coming back empty) would be fuel for the fuel depot in GTO,
or one in LEO – it takes a lot less delta/v to get to Leo from the surface of
Mars than it does from the surface or Earth.
Given the low delta-V requirements from GTO to Martian GTO,
you could add 1 KPS to do a fast transfer. (something else SpaceX has
mentioned). This would also ease the launch window timeframe significantly (my
calcs in this post are based on the once-in-2.2 years optimal Mars window).
Therefore, my hunch is that the MCT will either be, or be
very similar to, four or five BA 330 modules. Going further, the four manned
ones could be linked in pairs, separated by a tether, and spun up to generate
artificial G. Generating Mars G would be even easier, as it’s 38% of Earth’s.
This would acclimatize crew to Mars G en route, while avoiding the debilitating
effects of prolonged weightlessness. Also,
artificial G will probably be required in order to get the breeding stock of
food animals (which any Mars colony will have to have) to Mars. No need to take
a whole flock of chickens or drove of pigs, for example, but you’ll need to
take two or three plus a few hundred frozen embryos.
That brings us back to the BFR; how big does it need to be?
For the space-only MCT, it really only has to get, at most, about 100 tons to
GTO, which makes it about one and a half Saturn 5 class in capacity – well
within the speculated range for the BFR. That’d also give its upper stage the
capability (assuming ISRU refueling on Mars) to function as a Mars
ascent/decent SSTO vehicle with 100 or more tons of payload.
As a further piece of evidence supporting my hunch that
that’s what they have in mind for some BFR upper stages, SpaceX has said one of
the reasons for choosing methane was the ability to obtain it via ISRU on Mars.
So, unless part of the BFR is intended to go to Mars, that makes little sense
(otherwise, only a surface-to-surface MCT would need Methlox, and could use
smaller engines).
Using this architecture, the result would be a fairly
low-cost, reusable multi-vehicle Mars transportation system. It would have
cargo capacity in both directions, allowing for the Mars colony to export
ISRU-derived commodities (Fuel, oxidizer, water, food) to Earth orbit (a good
fiscal basis for an economically self-supporting colony), due to the fact that
it takes far less propulsive delta-V to get from Mars surface to LEO than to do
so from Earth. Granted, there isn’t currently
a demand, but the near future should see such a demand, in the form of several
LEO and higher space stations, fuel depots, etc. (the advent of the cheap-per-pound
launch capacity BFR promises would help create that market).
Major caveat; I’m writing this post in the belief (If I’m in
error, please correct me) that it contradicts nothing SpaceX has recently officially
announced regarding BFR and MCT. I do however discount some SpaceX
announcements from the more distant past, due to SpaceX's penchant for changing
plans due to encountering physical and fiscal limitations during R&D. They
have always done this. For example, their recovery method for F9R looks nothing
like their announced parachute-based splashdown concept they tried with F9 1.0.
Also, Falcon Heavy will look very different from the F9 1.0 based FH they
originally announced. They’ve also changed the specs on Raptor massively, more
than once. The only thing I’m accusing them of is having a sane approach to
engineering, one that’s not needlessly bound by their past estimates. I consider
this very commendable. However, it does means that outside speculators, such as
myself, sometimes need to assume that some of SpaceX’s announcements may have a
short shelf life. Thus, I’m taking such liberties in my speculation here.
A couple of definitions for terms used here; Aerobraking is
using a partial entry to dissipate velocity and enter orbit (or set up for full
entry). Aerocapture is multiple passes through the atmospheric fringes, such as
MRO used to enter Mars orbit. Aerobraking requires a heat shield, while
aerocapture does not. Both save on propulsive delta-V.
1 comment:
Bravo. Now I need mission cost estimates to compare it with my 13 ton dozen crew 40 ton TMI concept.
We are in total agreement that surface to orbit to surface needs to be separate ships or the MCT becomes just too ridiculous.
Do you have some ball park dollar amounts?
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