There is a lot of hints in the game so here, you will only find the soluce.

Astronomy's Trials

Moon Room
From left to right
The half moon that look like a D
The other half moon (reverse D)
New moon (black spot
and full moon

Eclipse Room
For the red moon it's : Moon - Earth - Sun
And for the total eclipse it's : Earth - Moon - Sun

Planets Room :

All the planets are in the same order than in the solar system, from left to right is the same as closest to farest from the Sun
Only look at the first line of the planet's information
Mercury : 87,9691 days
Venus : 224,701 days
Earth : 365,26 days
Mars : 686,98 days
Jupiter : 11,862 years
Saturn : 29,4571 years
Uranus : 84,0205 years
Neptune : 164,8 years

Constellations Room :
From left to right :
Aquarius
Draco
Pisces
Cetus
Orion
Gemini

Color's Trials

Lights Room
From top to bottom :
On the left : Cyan - Magenta - Yellow - White - White
On the rigth : Red - Red - Green - Cyan - Magenta

Spectral type
More Blue on the left (O) More Red on the right (M)

"Rainbow" Room

Left : Ti - Fe - Ar
Middel : Na - Fe
Right : H - Ar

Chesmistry's Trials

Periodic table Room
S : 16
I : 53
P : 15
U : 92
Y : 39
W : 74

Molecular model Room
C : black
O : red
H : white
N : blue

Molecules Room
Hard to describe, count the atome of each molecule using the same colors as the previous room (black is C, white is H, Red is O and N is blue

Equation Room
On the left put the carbon dioxide and on the right it's 1 - 2 - 1 - 2

Atome Room
From left to right :
He, H, N, C

Ions Room
From left to right :
Nothing, - and +

You can now go to the big door and click on the red button

You can find a video soluce here https://www.youtube.com/watch?v=jdDQINPgZCE&t=919s