Mercedes Mullins
The amount of fuel used by space rockets is a complex topic that involves various factors and calculations. One of the key considerations is the type of fuel used, such as liquid oxygen, kerosene, or methane. The mass of the payload, the number of rocket stages, and the efficiency of the engines also play a significant role in determining fuel consumption. For example, SpaceX's Falcon 9 rocket uses about 147,000 kg of RP-1 (refined kerosene) and 341,000 kg of liquid oxygen, with most of the fuel being utilized during the first stage of the flight. SpaceX's Starship rocket, designed for missions to Mars, is estimated to use around 4500 tonnes of fuel, with a significant portion being methane. The challenge of fuel usage in space rockets lies not only in the quantity but also in the environmental impact and the optimization of resources, driving innovations in fuel recycling and sustainable propulsion systems.
| Characteristics | Values |
|---|---|
| Rocket Equation | Konstantin Tsiolkovsky worked it out in 1903 |
| SpaceX Rocket Equation | Includes boostback, entry, and landing burns |
| Fuel Usage | Nearly all the fuel is used |
| Remaining Fuel | A landed Falcon 9 has a couple of tons of propellant remaining in its tanks |
| SpaceX Starship | Takes off with around 4500 tons of fuel, around 100-150 tons can reach orbit |
| SpaceX HLS | 1500 tons of fuel for a round trip |
| SpaceX HLS Refueling | Requires estimating the rate of propellant boil-off |
| SpaceX Starship Fuel | Methane and liquid oxygen |
| SpaceX Rocket Fuel | Liquid oxygen and refined kerosene (RP1) |
| Liquid Oxygen Cost | $0.20 per kilogram |
| Refined Kerosene Cost | $0.70 per kilogram |
| SpaceX Rocket Fuel Cost | $150,000 |
| SpaceX Methane Source | Liquefied natural gas |
| SpaceX Methane Process | Piped to a treatment facility, separated, and cooled to -162 degrees |
| SpaceX Methane Recondensation | Excess methane is piped into a recondenser, cooled, and stored for future use |
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What You'll Learn
The Rocket Equation
The classical rocket equation, also known as the ideal rocket equation or Tsiolkovsky rocket equation, is a mathematical equation that describes the motion of vehicles that follow the basic principle of a rocket. This principle involves a rocket applying acceleration to itself by thrusting and expelling part of its mass at high velocity, thereby moving due to the conservation of momentum.
$$
\co: 3,6,7,15>
\Delta v=v_{\text{e}}\ln {\frac {m_{0}}{m_{f}}}=I_{\text{sp}}g_{0}\ln {\frac {m_{0}}{m_{f}}}
$$
Where:
- $\Delta v$ is the change in velocity
- $v_{\text{e}}$ is the effective exhaust velocity
- $m_{0}$ is the initial mass of the rocket
- $m_{f}$ is the final mass of the rocket
- $I_{\text{sp}}$ is the specific impulse of the engine
- $g_{0}$ is the gravitational constant
$$
\co: 5>
\text{force on the system}=A(p-p_{0})-Mg\cos a
$$
Where:
- A is the area of the exhaust nozzle
- P is the exhaust pressure
- P_0 is the atmospheric pressure
- M is the mass of the rocket
- G is the gravitational constant
- A is the angle between the force and the flight path
Combining the equations for the total force on the system and the change in momentum, and neglecting the weight force, we get:
$$
\co: 5>
M\text{d}u=[A(p-p_{0})+\dot{m}v]\text{d}t
$$
Where:
- M is the mass of the rocket
- U is the velocity of the rocket
- V is the velocity of the exhaust
- Dm is the exhaust mass
- Dt is the change in time
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SpaceX Starship fuel requirements
SpaceX's Starship is a super heavy-lift reusable launch vehicle that has been in development since 2005. The rocket has a mass of approximately 5,000 metric tons when fully fuelled and stacked, with a diameter of 9 meters and a height of 121.3 meters.
The rocket consists of two stages: the Super Heavy booster and the Starship upper stage. The Super Heavy stage is 71 meters tall and 9 meters wide, and it contains the engines, oxygen tank, fuel tank, and interstage. The oxygen and methane tanks are separated by domes inside the spacecraft. The Super Heavy booster has a dry mass of between 160 and 200 metric tons, with the tanks weighing 80 tons and the interstage weighing 20 tons.
The Starship upper stage is 52.1 meters tall and 9 meters wide, and it contains the engine bay, oxygen tank, methane tank, and payload bay. The baseline reusable design of the Starship will have a payload capacity of 100 to 150 metric tons to low Earth orbit (LEO) and 27 metric tons to geostationary transfer orbit.
According to one source, the Starship takes off with around 4,500 tons of fuel, of which around 100 to 150 tons can reach orbit and are used, not wasted. Another source estimates that the HLS variant of the Starship requires 1,500 tons of fuel for a round trip.
The exact fuel requirements of the Starship depend on various factors, such as the payload mass, the duration of the mission, and the rate of propellant boil-off. The rocket equation can be used to estimate the fuel requirements, but this requires knowledge of the exhaust velocity of the vacuum engines, which is not publicly available.
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Fuel production energy costs
The fuel production costs for space rockets vary depending on the type of fuel used and the mission requirements. Let's take a look at some examples and the factors that influence fuel production energy costs:
Liquid hydrogen is one of the most efficient rocket fuels in terms of energy density, providing 142 MJ/kg. However, it is also one of the most expensive options. The base price of liquid hydrogen is between $3 and $6 per kilogram, but the real cost increases when factoring in storage, transportation, and handling. This fuel must be kept at extremely low temperatures (-253°C) to remain liquid, adding complexity and cost to rocket operations.
On the other hand, RP-1, a highly refined form of kerosene, is less expensive and more commonly used in modern rockets, including SpaceX's Falcon 9. RP-1 has an energy density of 47 MJ/kg and is much easier to handle, store, and transport than liquid hydrogen. The cost of RP-1 is about $1.20/kg, which is significantly lower than liquid hydrogen.
The choice between hydrogen and RP-1 depends on the mission requirements. Hydrogen is ideal for high-performance missions like crewed spaceflights and deep-space probes, while RP-1 is more suitable for commercial satellite launches due to its affordability and practicality.
The production of fuel for space rockets also involves various other costs. For example, safety precautions, rocket shell, and rocket engines can be expensive. Additionally, the complexity of the rocket design and the high standards of engineering and testing can drive up the overall cost of the mission, including fuel production.
It is worth noting that the adoption of green fuels is also being considered in the space industry. Agencies like NASA and ESA are actively funding green fuel research. While the initial challenge is scaling up production, the expectation is that costs will decrease as demand grows and economies of scale are realized.
In conclusion, the fuel production energy costs for space rockets vary depending on the type of fuel, mission requirements, and various other factors associated with the complex nature of space missions.
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Fuel recycling
The amount of fuel used by a space rocket depends on several factors, including the rocket's mass, efficiency, and external forces. Using a generic rocket equation, we can calculate the mass of fuel required to transport a given amount of payload to Low Earth Orbit (LEO). For example, a SpaceX Starship takes off with around 4500 tons of fuel, of which around 100-150 tons can reach orbit.
As space travel becomes more accessible and frequent, the impact of rocket emissions on the environment is becoming a growing concern. The reuse of rockets, or "recycling," is one way to reduce the environmental impact and lower costs. SpaceX, for instance, has offered customers earlier launch dates and slight discounts if they opt for recycled boosters instead of waiting for new rockets. NASA and the U.S. Air Force, the largest buyers of launch services in the U.S., have taken advantage of SpaceX's discounted prices for recycled Falcon 9 rockets.
NASA itself has a history of grappling with shuttle reusability. During its shuttle program, which ended in 2011, NASA designed its orbiter engines to fly 10 times before inspections. However, engineers discovered that the pumps required inspection after every flight, which involved removing the engines and shipping them back to the factory. Despite the challenges, the ability to reuse rockets is still considered the "holy grail" by SpaceX founder Elon Musk, as it promises to reduce costs and increase accessibility to space exploration.
To further reduce the environmental impact of space travel, engineers, chemists, and rocket scientists are exploring alternative, eco-friendly fuels. For example, Skyrora, a U.K. rocket startup, is experimenting with an alternative to RP-1 (refined kerosene) called Ecosene, which is made from non-recyclable plastics and is estimated to produce up to 40% less emissions. bluShift Aerospace is also working on a solid biofuel made from agricultural waste, while another company is using biopropane, which produces less soot. These efforts to "recycle" fuel by using more sustainable alternatives contribute to the overall goal of making space exploration more environmentally friendly and accessible.
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Fuel sources
Rockets create thrust by expelling mass rearward at high velocity. Both an oxidizing agent and a reducing agent (fuel) must be present in the mixture. The amount of fuel required depends on the mass flow rate of the propellants and their exhaust velocity relative to the rocket.
Solid propellants are used for very large thrusts, such as escaping Earth's orbit. They are much simpler to design and handle than liquid-propellant rockets, and they are also more compact and cost-effective. Solid propellants come in two main types: composites and single-, double-, or triple-base mixtures. Composites are a mixture of solid oxidizers like ammonium nitrate and fuel compounds like aluminium. Single-, double-, or triple-base mixtures are homogeneous blends of one to three primary ingredients, including fuel and oxidizer.
Liquid-fueled rockets, on the other hand, require complex valves, seals, and turbopumps, making them more costly to launch. Liquid oxygen (LOX) and highly refined kerosene (RP-1) are commonly used for the first stages of many rockets, including the Atlas V and Falcon 9. LOX is also combined with liquid hydrogen for upper-stage rockets like the Delta IV and the European Ariane 5. This combination is used when the rocket must operate at full atmospheric pressure. LOX and liquid methane are used on the Zhuque-2 and Vulcan rockets and are planned for several rockets in development.
Other types of fuel include monopropellants like hydrogen peroxide, hydrazine, and nitrous oxide, which are used for attitude control and spacecraft station-keeping. Dinitrogen tetroxide (N2O4) and hydrazine (N2H4) or UDMH are used in military, orbital, and deep-space rockets because they can be stored for long periods at reasonable temperatures and pressures. Rocket-grade petroleum, or RP-1, is a highly refined kerosene mixed with liquid oxygen, and cryogens are stored at very low temperatures, such as liquid hydrogen. Hypergols, which include nitric acid, can self-ignite on contact between the fuel and the oxidiser and are often used for propulsion in space.
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Frequently asked questions
A SpaceX Falcon 9 rocket uses about 147,000 kg of RP-1 rocket fuel (refined kerosene) and 341,000 kg of liquid oxygen. The Starship rocket uses methane and liquid oxygen as propellants.
It depends on the rocket and its payload. A SpaceX Falcon 9 rocket can carry up to 100-150 tonnes of payload into orbit.
Nearly all of the fuel is used during a rocket launch. However, some fuel is necessary to keep the fuel and oxidizer sumps covered to prevent a rapid unplanned disassembly (RUD) of the engine.
