Dyson swarm calculator
A Dyson swarm is a cloud of solar collectors orbiting a star. A full Dyson sphere around the Sun would capture all 3.828
This calculator is about our real Sun, not the game Dyson Sphere Program.
Worked example
The results above when the page opens, step by step.
- Power captured = 1% × 3.828
× 1026 W = 3.83 × 1024 W , about 1.89× 1011 times humanity's 20.2 TW in 2024. - Electricity = 30.7% × 3.83
× 1024 W = 1.18 × 1024 W . - Kardashev rating = (log10(3.83
× 1024) − 6) ÷ 10 = (24.583 − 6) ÷ 10 = 1.858. - Collector area = 1% × 4π × (1.496
× 1011 m)² = 1% × 2.81 × 1023 m² = 2.81 × 1021 m² , 5.51× 106 times Earth's surface (5.10× 1014 m²). - Collectors = 2.81
× 1021 m² ÷ 1 km² (106 m²) each = 2.8 × 1015 . - Mass = 2.81
× 1021 m² × 1 kg per m² = 2.81 × 1021 kg , 0.038 times the Moon's mass (7.346× 1022 kg) or 0.0085 times Mercury's (3.301 × 1023 kg). - Computing with today's chips = 1.18
× 1024 W × 2,300 × 109 FLOP/s per watt = 2.70 × 1036 FLOP/s . - The physical ceiling on erasing bits: erasing one bit takes at least 1.380649
× 10−23 J/K × 300 K × 0.693 (the natural log of 2) = 2.87 × 10−21 J, so 1.18 × 1024 W ÷ 2.87 × 10−21 J = 4.09 × 1044 bit erasures a second .
From swarm to computer
In the late 1990s Robert Bradbury described nested shells of computers around a star that would turn its whole output into computing, a “Matrioshka brain”. It is the closest older idea to Elon Musk's “sentient sun”: see What is a sentient sun?
The last two rows put rough numbers on it: the arithmetic today's chips would do on the swarm's electricity, in FLOP/s (calculations a second), and the most bits a second that physics lets any computer erase at the temperature you set (the Landauer limit). They measure different things, so they are never added or compared directly.
What this leaves out
- Whole arrays, not bare cells. Flown solar arrays, with their structure and wiring, weigh about 2 to 14 kg per m², worked out from NASA's survey of small spacecraft (see Method). Change the collector mass to see the difference.
- Aging. Radiation wears cells down in space; the efficiency here is for a new cell.
- Waste heat. Sunlight that isn't turned into electricity, and all the electricity once used, ends up as heat the swarm must radiate away. Radiators aren't counted.
- Orbits, spacing and shading. Collectors must not shade or hit each other; only the collecting area is counted.
- Building it. The materials, launches and time it would take are outside this calculator.
- Distance. Collectors sit at 1 au, Earth's distance from the Sun.
How it works
Power captured is your share of the Sun's whole output, 3.828
The formulas, values and sources are on the method page: Dyson swarm and computing. To rate any power, or see when humanity would reach Type I, try the Kardashev calculator.