Questions about colony upgrades

Can someone explain colony upgrades to me?

I see it costs a resource called nanobots, how do you get them?

In my game I had 3 core worlds and the colony upgrade icon only appeared on 1 of them, what determines what upgrades are available and what colonies get them?

The core world that had the upgrade icon presented 2 options.

1) Satellite network that increased the morale of the world (fairly straight forward).

2) Orbital depot that reduces decay by 10%. Does this reduce the decay of each feeder colony by 10%?

Thanks.

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I see it has been a while since you posted this. However, I thought I would give a comment in case anyone else finds this post.

I don't know all the answers but what I can say is that while attempting to expand my empire, I assigned a governor to a 1 tile planet. I wasn't able to add any upgrades to it and really wanted to push influence. When I assigned a governor I could see the Core World Capitol was taking up the only tile on the planet. Why I couldn't have used that tile for an upgrade, I don't know. However, I used my Geo Research to start adding some tiles to build influence on it anyway.

Alternatively I was able to add upgrades to a planet such as Orbital Shield before assigning a Governor.

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