Meh.
Unless my brain has gone to porridge what with these hot days we've been having, lens length is only material in how wide the field of view is. It matters for "Earth should look bigger" (that is, take up more of the frame in some photograph in question) but not for any comparison of visual diameters. Aka "The Moon should look bigger than the Earth."
For that question, it is only about location, location, location. Camera matters not. It's all in the geometry.
Hi nomuse, yes you are right, if we are just considering relative sizes then cameras and focal lengths and focal points are not relevant. You just need to compare Moon/Earth size ratios and relative distances to observer as I did in a couple of earlier posts and others have done in diagrams and photos.
To confirm 'in the field' the effect of focal length on relative size I went out this morning and shot the following:
70mm focal length, with the 'Moon' (small ruler) one metre from the 'Earth' (the big ruler). The camera is positioned 6 metres further on from the 'Moon'. The relative distances match the Earth/Moon/DSCOVR positions
Using 10cm on the small ruler for the Moon diameter and 40cm on the big ruler for the Earth (sizes chosen to keep things simple) and after resizing and cropping to an image width of 1000 pixels we get:
Moon (168px) / Earth (498px) = Moon/Earth ratio of 0.337 =
33.7%.
Now at 100mm focal length (all objects and the camera unmoved):
Moon (152px) / Earth (454px) = Moon/Earth ratio of 0.335 =
33.5%.
200mm:
Moon (162px) / Earth (484px) = Moon/Earth ratio of 0.335 =
33.5%.
And finally 300mm:
Moon (236px) / Earth (710px) = Moon/Earth ratio of 0.332 =
33.2%.
Conclusion 1: So allowing for lens distortion through the zoom range, and margin of error from measuring the pixel lengths,
the Moon and Earth ratio has remained constant regardless of focal length.
Now the effect of moving the camera forwards. We already have the 6m ratio at around 33% regardless of focal length.
So with camera at 3m from the Moon (at 70mm focal length):
Moon (171px) / Earth (423px) = Moon/Earth ratio of 0.404 =
40.4%.
So Moon has increased in size relative to Earth by moving nearer.
And with camera at 1m from the Moon (70mm):
Moon (353px) / Earth (473px) = Moon/Earth ratio of 0.746 =
74.6%.
The Moon has again increased substantially relative to the Earth.
Conclusion 2: Changing the relative distances between objects and observer changes the relative size of the objects.