Claim

0

The fully reusable system can achieve a mass-to-orbit ratio (mass-in-stable-orbit over takeoff-mass) of 4.64%.

StarshipFalcon 9RTLSmass-ratio

Evidence

The mass-to-orbit ratio is a useful metric for comparing and contrasting the fundamental performance of two different rocket technologies. For one system to have a better mass-to-orbit ratio than another, it will need to demonstrate improvements on fundamental rocket performance metrics, such as engine thrust, engine ISP, or structural mass fraction.

For example, Falcon 9 is an operationally proven system which has a configuration in which the booster returns to the launch site (called the "RTLS" configuration) - this is similar to the Starship system where the booster also returns to the launch site. In the RTLS configuration, its payload (12,300 kg) can be accurately obtained from NASA's Launch Vehicle Performance Website (see figure below). Its mass on the pad (not including payload) can be found on SpaceX's website and is 549,054 kg. Its takeoff mass is thus 549,054+12,300=561,354 kg549,054+12,300=561,354 \space kg. Its mass in a 200 km circular orbit is estimated to be mSecondStage,Dry+mPayload+mDeorbitPropellant=3,900+12,300+10016,300 kgm_{SecondStage, Dry}+m_{Payload}+m_{DeorbitPropellant}=3,900+12,300+100\approx16,300 \space kg. This means that it achieves a mass-to-orbit ratio of

16,300561,354=0.029=2.9%{16,300 \over 561,354} = 0.029 = 2.9\%

Starship is an evolving design and official numbers are not published, but there are many public estimates. For example, Starship's takeoff mass is estimated to be ~5,000 metric tons. The second stage's dry mass is unknown but some public analyses, based on Elon Musk’s past comments and performance targets, estimate the Starship upper stage dry mass to be on the order of 100–150 metric tons. The aspirational payload to orbit is 100+ metric tons. The propellant needed for the deorbit and landing burns is estimated to be 32 tons. Therefore, its mass-to-orbit ratio is likely to be at least

100+100+325,000=0.0464=4.64%{100+100+32 \over 5,000} = 0.0464 = 4.64\%

Thus, SpaceX will need to increase Starship's performance on the mass-to-orbit ratio metric, relative to Falcon 9 RTLS, by a factor of at least 4.64/2.9=1.6X4.64/2.9= 1.6X.

SpaceX's Starship differs from the Falcon 9 RTLS in the following ways:

  1. The primary fabrication material is changed from aluminum-lithium alloy to stainless steel.
  2. The fuel is switched from RP-1 to methane.
  3. The engines are upgraded from an open gas-generator cycle to full-flow staged combustion.
  4. A hot-staging technique is used when the second stage separates from the first stage.
  5. The booster does not execute a re-entry burn, but instead relies on atmospheric drag to decelerate it.
  6. The second stage does not reduce it's mass during ascent by jettisoning its fairings.
  7. The second stage uses a mix of sea-level and vacuum-optimized engines instead of a purely vacuum-optimized engine.
  8. The second stage includes a thermal protection system and aerodynamic control surfaces, increasing drag but enabling reuse.
  9. The booster is recovered via a “tower catch,” permitting landing legs to be removed.
  10. The takeoff mass of the rocket in increased by roughly 9X, enabling some mass savings associated with square-cube law effects.

While some of these changes are likely to degrade performance and others are likely to increase it.

This claim asserts that the net effect of all of these changes will achieve at least a 1.6X performance improvement.

Reviews

The following reviews are limited in scope to the validity of the claim made above, and do not imply that the reviewer has taken a position regarding any other claim or the overall feasibility of a concept that is supported by this claim.