I love this band too!. Big fan! I think this is accurate. I'm not sure. But I think. 

[Capo 4th Fret] 


Intro: C Em Am G F C F G

C        Em           F
It was cloudy on that night
       G                 C
There were no stars in sight
              Em         F
Then the planets all aligned
G            Am
When I saw her eyes
              G
One look thats all it took
        Dm D F           G
To send me to another galaxy

Chorus
She said 
C         Em            Am
She was on her way to mars
              G     F
When she ran into a star
            C              F
And she fell into my arms
              G
Thank you gravity
C     Em    Am
Never let her go
      G      F
I'll hide her UFO
          C               F
She'll never have to know
Em   Am       G
She's my space girl
          F           C
And she's out of this world

(Repeat Intro)

C           Em            F
We were watching star wars
G                     C
She looked kinda bored
             Em           F
Said she'd seen it all before
             G         Am
Made me wonder even more
Which universe was hers
G                          Dm-D
What galaxy did she call home
F      G
(Yeaaaaah)

Chorus
She said 
C         Em            Am
She was on her way to mars
              G     F
When she ran into a star
            C              F
And she fell into my arms
              G
Thank you gravity
C     Em    Am
Never let her go
      G      F
I'll hide her UFO
          C               F
She'll never have to know
Em   Am       G
She's my space girl
          F           C
And she's out of this world