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Background Pony #9413
The Earth rotates at over 400 meters per second; if it suddenly stopped on a dime, everyone on the planet would be sent flying to their deaths, and similarly disastrous effects would happen from a planet’s angular velocity instantly accelerating the same amount from rest.
 
The friction produced by the altered momentum would cause everything in the atmosphere to instantly burst into flame.
Fwelin
Solar Supporter - Fought against the New Lunar Republic rebellion on the side of the Solar Deity (April Fools 2023).

@AaronMk  
If that weee true, Twilight and the Storm King would have utterly failed to move the sun when they tried, as they’d be targeting the wrong object, being under the impression that Celestia does move the sun.
 
Not to mention that it would be incredibly easy to tell if the planet stopped or started rotating instantaneously for any remotely familiar star-planet system. The Earth rotates at over 400 meters per second; if it suddenly stopped on a dime, everyone on the planet would be sent flying to their deaths, and similarly disastrous effects would happen from a planet’s angular velocity instantly accelerating the same amount from rest.
phoenixacezero
Silly Pony - Celebrated the 13th anniversary of MLP:FIM, and 40 years of MLP!
Solar Supporter - Fought against the New Lunar Republic rebellion on the side of the Solar Deity (April Fools 2023).
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A Lovely Nightmare Night - Celebrated the 12th anniversary of MLP:FIM!
Princess of Love - Extra special version for those who participated in the Canterlot Wedding 10th anniversary event by contributing art.
Non-Fungible Trixie -
Verified Pegasus - Show us your gorgeous wings!
Preenhub - We all know what you were up to this evening~
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Artist -

Twilight: OMG! Celetia is the center of our galaxy and all the planets revolve around her. I wonder why she doesn’t want us to know.  
Celestia: Cause i already get some weird stuff for ponies thinking that I rotate the the sun around them and definitely don’t want to find out what they’ll do if they learn I moving planet around and preventing them from going all over the place… too late they already know.
KozumoJi
A Really Classy Artist - 250+ images under their artist tag
Equality - In our state, we do not stand out.
An Artist Who Rocks - 100+ images under their artist tag
Artist -

Son of the Young Master
Fun fact: Before Galileo, the Catholic Church actually didn’t consider their planet to be in the centre of the universe, since it was considered the absolute pinpoint of Hell
mathprofbrony
Nightmare in the Moon - Had their OC in the 2024 Derpibooru Collab.
Solar Supporter - Fought against the New Lunar Republic rebellion on the side of the Solar Deity (April Fools 2023).
Roseluck - Had their OC in the 2023 Derpibooru Collab.
Elements of Harmony - Had an OC in the 2022 Community Collab
Twinkling Balloon - Took part in the 2021 community collab.
Friendship, Art, and Magic (2020) - Took part in the 2020 Community Collab
Wallet After Summer Sale -
Friendship, Art, and Magic (2018) - Celebrated Derpibooru's six year anniversary with friends.
Birthday Cake - Celebrated MLP's 7th birthday
The End wasn't The End - Found a new home after the great exodus of 2012

@ObliviaTheChangeling
 
We’ve seen the moon and the sun in the sky moving at changing rates relative to each other however, so at the very least Luna (or whoever is controlling the moon at a given time) must also be able to move the moon with respect to Equestria, even if they only move Equestria with respect to the sun.
Background Pony #C52C
It’s a little extra funny when you consider that an orrery of (what I presume is) the Equestrian solar system has appeared in the show before, and that it too had all the planets going around the sun.  
 
It brings to mind the idea that everyone actually knows the heliocentric model is correct, but no one wants to contradict Celestia on it.