The F is a different version than normal, it's tabbed like this:
A|----3----|
E|----1----|
C|-----0----|
G|----2----|

[Intro]

      Dm                   G                     C
A|---------------0---------------------2------------------3--------3--------3--------|
E|---------1--------1------------3--------3---------0-----------0--------0--------0--|
C|------2-----2--------2------2-----2--------2---------------------------------------|
G|-----------------------------------------------------0-----0--------0--------0-----|

      Dm                   G
A|---------------0---------------------2---------|
E|---------1--------1------------3---------------|
C|------2-----2--------2------2-----2------------|
G|-----------------------------------------------|

      F        Fm      C
A|------3---------3-------------3--------3--------3--------------------------|
E|------1---------1-------0-----------0--------0--------0--------------------|
C|------0---------0----------------------------------------------------------|
G|------2---------1----------0-----0--------0--------0-----------------------|

[Verse 1]

I'm lying on the moon

      Dm                   G                     C
A|---------------0---------------------2------------------3--------3--------3--------|
E|---------1--------1------------3--------3---------0-----------0--------0--------0--|
C|------2-----2--------2------2-----2--------2---------------------------------------|
G|-----------------------------------------------------0-----0--------0--------0-----|

My dear, I'll be there soon

      Dm                   G                     C
A|---------------0---------------------2------------------3--------3--------3--------|
E|---------1--------1------------3--------3---------0-----------0--------0--------0--|
C|------2-----2--------2------2-----2--------2---------------------------------------|
G|-----------------------------------------------------0-----0--------0--------0-----|

It's a quiet and starry place

      Dm                   G                     C
A|---------------0---------------------2------------------3--------3--------3--------|
E|---------1--------1------------3--------3---------0-----------0--------0--------0--|
C|------2-----2--------2------2-----2--------2---------------------------------------|
G|-----------------------------------------------------0-----0--------0--------0-----|

Time's we're swallowed up

      Dm                   G                     C
A|---------------0---------------------2------------------3--------3--------3--------|
E|---------1--------1------------3--------3---------0-----------0--------0--------0--|
C|------2-----2--------2------2-----2--------2---------------------------------------|
G|-----------------------------------------------------0-----0--------0--------0-----|

    F*                  Fm*            C**
In space we're here a million miles away

[Verse 2]
          Dm      G         C
There's things I wish I knew
            Dm        G           C
There's no thing I'd keep from you
        Dm        G        C
It's a dark and shiny place
          Dm     G
But with you my dear
     F*                Fm*            C**
I'm safe and we're a million miles away

[Verse 3]
     Dm      G         C
We’re lying on the moon
       Dm       G       C
It’s a perfect afternoon
         Dm         G         C
Your shadow follows me all day
        Dm        G
Making sure that I'm
   F*             Fm*             C**
Okay and we’re a million miles away