Mirror

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Mirrors orbit the sun and reflect light to receivers.

They have neighbours. They are close enough to message each other with 10km between 1km2 mirrors. They are an internet.

They all have the same distance from the sun.

A full swarm catching all the light of the sun would have an area of S = 4πr2

an orbit of 40 million km r=4E10m

so S = 2E22m2

and if each mirror = 1E6m2 then a full swarm has 2E16 mirrors which is 20 quadrillion mirrors. If they are overlapping circles then there's 30 quadrillion.

A 1% swarm = 2E14 mirrors = 200 trillion mirrors.

Ten years is 3.1536E8 seconds which is 634 mirrors a second. Nearly all of those are in the final year.

Before the final year a single railgun is enough with 30 launches a second to escape velocity. The mirror will then tack to its right position.

For the final year you might need to scale up toward a thousand railguns.

The orbit distance of a mirror around the sun is 2πr = 2.5E11m

Solar orbit period = 70 days, speed in solar orbit = 41km/s. The swarm will already be going that fast by being on Mercury, the solar orbit is free.

Escape velocity of Mercury = 4.3km/s