Hubble Telescope and the Olber's paradox: where is the space dust?

What do you do when there is something contradicting your theory to the point of invalidating it? I don't know about you, but our science declares it a "PARADOX". A very simple solution to a very complicated problem. Now, everything in this story is official, and that makes it just that more ridiculous. That's my personal opinion only, but feel free to voice yours.

Dark Night Sky Paradox
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In a nutshell ~ Olber's paradox. The night sky is supposed to be lit up like a flood light due to the amount of stars up there. This is clearly not the case. And the reason we do not see this overwhelming sky size spot light shining down our own backyard is... cosmic dust blocking the view.
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Schematic of the distribution of stars in an infinite universe and Olber's Paradox
Credit: Penn State Astronomy & Astrophysics

Hubble Space Telescope
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Hubble orbits the Earth at an altitude of about 353 miles (569 kilometers). It takes about 97 minutes to complete one orbit around the Earth. Hubble passes into the shadow of the Earth for 28 to 36 minutes in each orbit.

Here are some of the pictures allegedly made by this awesome piece of equipment. More HUBBLE pictures at this NASA link.
  • Hubble’s Lonely Firework Display - Roughly 50 million light-years away the little galaxy NGC 1559 has hosted a variety of spectacular exploding stars called supernovae.
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My question: Where is this interstellar cosmic dust? How come this Hubble thing allegedly orbiting our planet at 353 mile altitude can take a photo of galaxies located 7.5 billion light years away? NASA taught it to see through the dust?

7.5 billion light years away... how many miles is it? Let's see.

1 light year = 5.88 trillion miles.
7,500,000,000 light years x 5,800,000,000,000 = no clue what this is called but my calculator demonstrated this 4.35^22 miles. I think in a more conventional way the distance looks like this - 43,500,000,000,000,000,000,000 miles.

This is your paradox, ladies and gentlemen: The night sky is supposed to be lit up like a gigantic floodlight. Obviously it is not because we have this interstellar cosmic dust blocking our view. Yet the Hubble telescope orbiting 353 miles above Earth is able to penetrate at least 4.35^22 miles of dust saturated space and snap a photo of some Galaxies far far away.

What's funny, we are so dull, we believe this non-sense. What's even funnier, Hubble is unable to take a picture of Earth. Why? Here is why:
  • The surface of the Earth is whizzing by as Hubble orbits, and the pointing system, designed to track the distant stars, cannot track an object on the Earth. The shortest exposure time on any of the Hubble instruments is 0.1 seconds, and in this time Hubble moves about 700 meters, or almost half a mile. So a picture Hubble took of Earth would be all streaks.
Hubble orbit speed: 5 miles per second at 353 miles above Earth
ISS orbit speed: 4.76 miles per second at 205-270 miles above Earth

$2.5 billion Hubble telescope weighing, 24,500 pounds and measured at 43.5 feet does not have a camera to take a picture of Earth located only 353 miles away. Yet, it brings us joy with the images of the galaxies located 43,500,000,000,000,000,000,000 miles away. It is also capable of penetrating 4.35^22 miles of space dust. That same dust preventing the stellar light from reaching our planet Earth.

Are we being duped?
 
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