A DC Atlas Frontier

Module 2 of 7

The Heat Problem

In vacuum there is no convection: every watt of waste heat must be radiated. The Stefan–Boltzmann floor, the real ISS radiator numbers, and what a 40 MW facility's radiator field actually masses. This is the argument.

Built on published aerospace engineering figures and DC Atlas's facility data.

Published Last updated 12 min read
Radiator per GPU
1 m²+700 W, one chip
m² per kW (ISS actual)
1.5–2matches theory
Radiator areal density
~19 kg/m²NASA goal <6
Radiator for 40 MW
60–80k m²>9 football pitches

The single most seductive line in the orbital-data-centre pitch is that space is cold, so cooling is free. It is also the line that kills the whole idea, because it is wrong in a way that matters. Space is not cold in any sense a thermal engineer can use. It is a near-perfect vacuum, and a vacuum is not cold — it is empty. On Earth, a data centre dumps the heat from its chips into air or water and moves that fluid away: convection, the workhorse of every cooling system ever built. In orbit there is no fluid to move to the outside world. The only way a spacecraft can finally get rid of heat is to turn it into infrared light and radiate it into the sky. Radiation is, by a wide margin, the least effective of the three modes of heat transfer, and in space it is the only one you get.

It helps to follow a single watt of heat on its journey. It starts in the silicon of a GPU, whose junction runs at 70 to 85 °C. A cold plate pressed against the chip picks the heat up into a liquid coolant. That coolant is pumped through the spacecraft to a radiator — via heat pipes and mechanically pumped fluid loops, because without gravity or air you cannot rely on natural circulation. Only at the radiator does the heat finally leave, as infrared photons streaming into space. Every stage of that chain adds mass, pumps, plumbing and failure points, and none of it exists in a terrestrial data centre, where the heat simply blows out of the back of the rack. The orbital machine has to build, launch and power an entire fluid nervous system just to carry heat to the one surface that can shed it.

How much radiator you need follows from one equation, the Stefan–Boltzmann law: the power a surface radiates rises with the fourth power of its absolute temperature. Run it for a radiator held at a realistic electronics-cooling temperature — 40 to 80 °C, with the high-emissivity coatings real spacecraft use — and a square metre of radiator sheds only a few hundred watts. Put concretely: a single NVIDIA H100-class GPU dissipating about 700 watts needs more than one square metre of dedicated radiator to stay alive in orbit. On Earth that same chip is cooled by a cold plate the size of your hand. That factor is the entire problem, and it does not yield to cleverness — it is thermodynamics.

The fourth-power trap: radiator area vs. how hot you run it

Radiator area needed per kilowatt of heat, by radiator surface temperature

01.52.920 °C60 °C100 °CRadiator temperatureRadiator area (m² per kW)

DC Atlas calculation from the Stefan–Boltzmann law at emissivity 0.9, radiating to deep space. Running the radiator hotter shrinks it — but electronics coolant cannot run much above 80 °C, which is why real designs sit at the expensive end of this curve.

SourceDC Atlas, from the Stefan–Boltzmann law (σ = 5.67 × 10⁻⁸ W/m²K⁴)

That curve is why you cannot simply build a smaller radiator. Because the power radiated scales with temperature to the fourth, the only way to shrink the radiator is to run it hotter — and a data centre's coolant cannot run much above 80 °C without cooking the chips it is meant to protect. So orbital thermal designs are stuck at the expensive end of the curve, needing one and a half to two square metres of radiator for every kilowatt, and there is no material or coating that changes the exponent. Engineers do have levers — high-emissivity coatings that radiate infrared efficiently while reflecting sunlight, two-phase pumped loops, deployable panels — but they move the number by tens of percent, not by the order of magnitude the economics would need.

Radiator area and mass, by heat rejected — Derived from the Stefan–Boltzmann law at a 40–80 °C radiator temperature and ~0.9 emissivity, and from measured deployable-radiator areal density (~19 kg/m² today; NASA's goal is <6, which sets the low end of the 40 MW mass range). Waste heat is taken as ≈ IT load — nearly all electrical power into a chip leaves as heat. (Source: NASA ISS Active Thermal Control System overview; NASA NTRS, radiator design for multi-megawatt applications; Stefan–Boltzmann (HyperPhysics))
Heat to rejectRadiator area (at 40–80 °C)Radiator mass (at ~19 kg/m²)Real-world anchor
1 kW~1.3–2.0 m²~25–40 kgOne high-end GPU ≈ 1 m²+
100 kW~130–200 m²~2.5–4 t≈ the ISS's entire radiator system
1 MW~1,300–2,000 m²~25–40 t
40 MW~60,000–80,000 m²~360–1,500 t> 9 football pitches of radiator

You can check the whole thing against flight hardware, which is the honest test. The International Space Station rejects roughly 70 to 100 kilowatts of waste heat through about 150 square metres of pumped-ammonia radiators — call it 1.5 to 2 square metres per kilowatt, exactly where Stefan–Boltzmann says it should land. That is a real, operating, decades-old system, and building it to a 100-kilowatt cooling capacity took years and dozens of Space Shuttle assembly flights. A 40 MW data centre needs to reject four hundred times as much heat. NASA's own technology roadmap treats getting radiator mass below 6 kg/m² as a stretch research goal, and even at that optimistic figure a 40 MW facility still flies hundreds of tonnes of radiator. There is no announced thermal technology that closes the gap cheaply, because the gap is set by a physical constant.

“A radiator can only reject heat when its temperature is higher than that of its environment; in space, optimum radiation efficiency is achieved by aiming radiators away from direct sunlight and planetary infrared so that they see as much of the cold background as possible.”Martin Hertzberg, on thermal management in space (NASA space-settlement studies)
International Space Station Active Thermal Control System OverviewConsiderations for Radiator Design in Multi-Megawatt Applications

This is the load-bearing wall of the entire orbital case, so it is worth stating plainly. The pitch says space cools your servers for free. The physics says space is the most expensive place in the accessible universe to reject heat, because it takes away the one mechanism — moving a fluid to the outside — that makes terrestrial cooling cheap, and leaves you with the one mechanism that scales worst, in an environment that is not even as cold as the brochure claims. Everything else in this Frontier is a consequence of that sentence. You are not building a data centre that happens to be in orbit. You are building a radiator the size of a city block and bolting some computers to it — and, as the next module shows, you then have to launch every tonne of it.

Questions this module answers

Isn't space cold, so cooling is free?
No. Space is empty, not cold. With no air or water to carry heat away, a spacecraft can only radiate heat as infrared light (the least effective cooling mechanism), and in low orbit its radiators also see the warm Earth.
How much radiator does a data centre need in orbit?
About 1.5 to 2 square metres per kilowatt. A single 700-watt GPU needs over a square metre, and a 40 MW facility needs 60,000 to 80,000 square metres, massing hundreds to over a thousand tonnes.
How do we know that figure is right?
The International Space Station rejects about 70 to 100 kW through roughly 150 square metres of radiators, about 1.5 to 2 square metres per kilowatt, exactly matching the Stefan-Boltzmann calculation.