Magnitudes for Oort and Kuiper Belt objects
Just thought someone might have a cool link that would explain how to calculate magnitudes for any new body found in our solar system. [So far, I haven't found much I like.] I am most interested in derivations which compare with other known bodies.
For those inclined on math today...
Since they reflect light, instead of generate it, the inverse square law gets, well, squared, as I see it.
I tried to derive the apparent magnitude value by comparing it with known planets. Any new body, I think, should have an apparent mag. based on....
[delta B] = (d1/d2)^4 * (r2/r1)^2 * (a2/a1)
[added: it really gives intensity change before log base 2.51 is used to convert to mag values]
d ~ distance to objects (d1 being a known planets distance, d2 the new object). Since the inverse square law applies for the light to reach the planet, and it applies for the light to return to us, it is a 4th power (squaring the inverse square), right?
r ~ The reflective surface increases, or decreases, as the square of the radius.
a ~ albedo
However, my few attempts seem to leave me about a mag. too bright. What am I missing? [Probably not dust with photons, but dust with neurons. ]
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