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(And most refer to the same R1 & R2, but not always... (eg, my other "design" link earlier).)
Heatsink?
Assume the 317 drops from a max of 15V to 3V - henc e a 12V drop.
Current is its own 10mA plus your 0.012 = 12mA, hence 22mA total.
Power = Volts x Amps; P=VI (Watts, Volts, Amps)
So P = 12V x 22mA = 264mW = .264W. (IE a bit over 1/4 Watt.)
So probably in general, under 1/4W heat dissipation from the LM117.
(reality or Santity check - if typical 14.4V charging & 3.2V out, then 14.4-3.2 = 11.1V x 22mA = 244mW ~250mW.... cool! Or warm?)
That is fine without a heatsink for the "smallest common" package - the LM317H in its TO-39 metal case.
WARNING - usually the cases on the LM317 are (also) the output, so do not short to +12V or ground!!
That's all, but read on at you peril.
Or to check for my mistakes...
Though the
(That's supposed to be a compliment...)