The only game I know where you have to consider parking is “Workers & Resources: Soviet Republic”. I haven’t provided any private cars to the people from my Republic yet. But from what I have seen, you need to provide parking lots close to their home and their destinations.
No, to orbit the earth at an height of let’s say 1000 km you would need a speed of around 7km/s. If you go faster, you don’t follow an circular orbit. Wirh around 11km/s you would be so fast to leave the gravity well of earth. The particles in those colliders are almost moving at the speed of light. To be exact, they move only 3.1m/s slower than the speed of light, so almost 300000km/s. They would fly almost straight and would be barely influenced by the gravity well.
The problem is the size of the sun. If you could look at the sun (don’t, try the moon its approximately the same size in the sky), you see it has a relatively large angular size. Its not just a point in the sky.
So the problem, the rays from one point of the sun are almost parallel. But the rays from the different points of the sun are not. So they also aren’t parallel after your mirror. They spread in an angle similar to the size of the sun on the sky. And this is much larger than a satellite. So you cannot focus all energy on a satellite.
I think it simulates each person going to their (a?) car and driving this car to another parking lot with free spots. So they do really fill up. However, I do not have first hand experience. In our glorious republic walking an public transport is all we need. So not even the most loyal party members get cars.