For an accurate representation of how the strongest Astartian Magic works, look at Mob Psycho 100. I'm surprised they're so alike. Before anyone says I copied them, consider how new the show is and how long Astartian Magic's been around for xD Of course, the basic mechanics of Astartian Magic are completely different, but the end result of those mechanics are pretty much what you'll see in the hiders.

Huge spoilers down below, for anyone planning to watch the show.

[hider=common Astartian Magic]
Look at the woman for an example of the most common application for AM
[youtube]https://www.youtube.com/watch?v=FYGE3JDsWzQ[/youtube][/hider]

[hider=Unheard of but possible AM]
This is when the user's willpower is so strong that they can manipulate and bend reality. It's no wonder why this kind of Astartian Magic is unheard of. Even the strongest users as of now barely reach this level of power, those being the Cosmic Knights, and even then whether they use this kind of magic depends on their personality, willpower and circumstances.
[youtube]https://www.youtube.com/watch?v=yXL6L3-r5es[/youtube]
[youtube]https://www.youtube.com/watch?v=FySV5qlbw4Q[/youtube]
[youtube]https://www.youtube.com/watch?v=jEDohZhV5fE[/youtube][/hider]