So how would the Federation react if they came across this ship/station?

[Acenos]

Either the enterprise or some other exploration vessel making contact with the Comet Observatory from "Super Mario Galaxy"

https://www.mariowiki.com/images/8/85/SMG_Comet_Observatory_Front_Overview.png
https://www.mariowiki.com/images/9/90/SMG_Comet_Observatory_Bedroom_Overview.png

They'd also have to explain how it even works though since it's completely unconventional with how Starships and stations are usually built. I think they would rule out this being magic as they would assume that it's a level of technology fr beyond the Federations and is indistinguishable from the concept of "magic" according to Humans.

It would be clear that there seems to be an invisible atmospheric bubble around it since the occupants on it can still breath despite being completely open air as well as a deflector shield to protect it from hazards like radiation and such. It also has artificial gravity but has this "safety net" where those who fall off get caught by some kind of energy bubble that transports them back to the Observatory's main platform.

It's capable of movement, though when it does, it usually resembles a comet:

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In other appearances in future mario games, it was also capable of landing on a Planet's Surface:
https://www.mariowiki.com/images/e/e3/MK7CometObservertory.jpg

From Archer and all the way to Janeway, how would Each Captains from the series react to it's discovery as well as the response of the Federation/Coalition of Planets/United Earth in different eras?.

bonus scenario would be the encounter or contact with the hub of Suuper Mario Galaxy 2, The Starship Mario:
https://www.mariowiki.com/images/1/15/StarshipMario.png
AKA another unconventional ship that doesn't make sense.

It too would have the same Artificial atmosphere and deflector shield setup like the comet Observatory.

How would they rationalize star bits and lumas too?

 

[publiusr]

This reminds me of the old book: Space Wars—Worlds and Weapons. (TTA like)

There were “follies”

A Best Of Trek cover was expurgated as being a BTE Dan type, charm drive folly called the Solar Trekkie.

READY PLAYER TWO!

Now the second image of yours might be possible as a balloon, with voyager doable as an airship perhaps.

 

[Acenos]

S

This reminds me of the old book: Space Wars—Worlds and Weapons. (TTA like)

There were “follies”

A Best Of Trek cover was expurgated as being a BTE Dan type, charm drive folly called the Solar Trekkie.

READY PLAYER TWO!

Now the second image of yours might be possible as a balloon, with voyager doable as an airship perhaps.

for the first one, how would they react to seeing the comet observatory?

 

[Forbin]

They'd say "Look! More video game graphics inexplicably posted on a Star Trek forum!"

 

[Vger23]

I'd guess they would react much the same way I am reacting now... with a combination of confusion and disdain.

 

[1001001]

Okay....

I have asked you, twice, to stop hotlinking to websites that are not your own (or where you have a sharing account like Imgur or Photobucket). I could not find anything on that Mario Wikl that gives permission to hotlink to its images, and frankly it's not my job to hunt through every website to see if they allow hotlinking. I asked you if these are your websites, and you did not respond to me.

Once again, I have edited your images to regular links. I am tired of having to do that.

I have directed you to read our rules. They are located here: https://www.trekbbs.com/rules/#post-11662568

"- Don't hotlink. If you're posting a picture, host it on your own site/Photobucket, whatever. DON'T just link to another site. They hate that."

I can't make it any clearer. You have another warning for repeatedly ignoring our rules.

Now...ASIDE from all that, these threads you're starting are nonsense. They are not really related to Star Trek, but rather you seem to enjoy posting various pictures of Mario. Hey, who am I to judge...but they don't belong here.

Don't do either of these things again. Thanks.