FAR OUT

The song's mainly based around a C Eb progression. 
The chorus is made up of 2 bars, an Ab Bb prog and an F prog 
(see the lyric section for the order they come in), and 
there's a little bridge part of Eb D after the first chorus.

(Verse)
                /---\ /---\ /---\ <--triplet rhythm
    C           Eb
e-|-----------|-----------------------|
B-|-----5-5-5-|-------------------8-8-|
G-|-----5-5-5-|-------------------8-8-|
D-|---5-------|---------5-6-7---8-----|
A-|-3---------|-6-7-8-9---------------|
E-|-----------|-----------------------|


(Chorus)
                    /---\ /---\ /---\ <--triplet rhythm
    F               Ab              Bb
e-|---------------|-------------------6-6-|
B-|------10-10-10-|-------------------6-6-|
G-|------10-10-10-|---------5-6-7---8-----|
D-|---10----------|-6-7-8-9---------------|
A-|-8-------------|-----------------------|
E-|---------------|-----------------------|


(Bridge)
    Eb    D
e-|-----|-----|
B-|-----|-----|
G-|-----|-----|
D-|-5---|-4---|
A-|---6-|---5-|
E-|-----|-----|


Here we go:

2 * (Verse) as intro

C            Eb                   (Verse)
I spy in the night sky don't I
Phoepe Io    Elara
Leda Callisto  Sinope
Janus Dione  Portia so many

F                                 (1st bar of chorus)
moons

Ab           Bb     F             (Chorus)
Quiet in the sky at night
Hot in the   Milky  Way

Eb      D                         (Bridge)
Outside in

1 * (Verse)

C            Eb                   (Verse)
Vega         Capella Ha-
gar Rigel    Barnard's star
Antares Alde-baran Altair
Wolf 3 5 9   Betelgeuse

F                                 (1st bar of chorus)
Sun sun sun sun

Ab  Bb  F                         (Chorus - fade out)
Sun sun sun sun
Sun sun sun sun