posted on Oct, 27 2022 @ 12:04 AM
Actually, if the distance between the camera and the objects, and the distance between the two objects does not change significantly, then the camera
focal length is not part of this calculation. A long focal length can make objects appear flatter (as Hecate666 noted) and also seems to compress the
distance between foreground and background objects. We can clearly see this in the image: The distance between the Earth & Moon is ~30x the diameter
of the Earth, yet the Moon appears right in front of Earth.
Independent of Freeborn, I looked-up the Earth & Moon sizes and distance (including perigee and apogee). I also found that the DSCOVR satellite is
not "a million miles" away - It's actually orbiting L1 in a
Lissajous orbit ~930,000 miles
from Earth (+/- ~25,000 miles).
I did the math from scratch, and my results matched Freeborn: The Moon's disk should appear ~34% - 35% the size of Earth. Interestingly, when I
downloaded the image and measured the width in pixels of each disk, I found the Moon appeared ~36.7% of the size of the Earth, so contrary to your
expectations, the lunar disk appears slightly
larger than calculations would suggest. The difference could be due to errors in my
measurements, or the satellite may have been closer than average when the photo was taken.
Hope this helps.
P.S. Feel free to do the math yourself and post your results here.