Don't encourage me!.
The door slammed shut because a force was applied to it sufficient to overcome friction and generate sufficient momentum to operate the latch.
-snip-
Dont encourage me either !
I studied Mechanics and fluid flow (Gases included) too, although only principles remembered now, 60 years on. However,
everyone can see, that the roughly north direction gusting that caused the curtains to blow in, would also cause the Front door to blow in (open) and NOT closed. Misty and i came to the same conclusion at about the same time. Seems that you, Alice missed this?
A northerly wind, experienced by Kate when the curtains fluttered, would also have been playing on the front door and would have likely have made it too difficult for Madeleine to have pulled the door closed.
Soz, Rob, but this small detail seems to have been overlooked by us all. I really am VERY doubtful that Madeleine could have shut that door with the height mechanical disadvantage and the large knob for her little fingers .... and the wind against her. And the prevailing wind conditions would have acted against the front door banging to. IMO
Anyway, as if a 3-4 year old would bother to close the doot, if frightened and in a rush!
Madeleine did not go out of that front door with almost certainty
AIMHO