Let us consider the maximum rise and fall slopes:
MaxSlopeRise[kelvin/second] = ScaleTime[pixel/second]/ScaleKelvin[pixel/kelvin]*tangent(SlopeAngleRise)
MaxSlopeFall[kelvin/second] = ScaleTime[pixel/second]/ScaleKelvin[pixel/kelvin]*tangent(SlopeAngleFall)
RiseToFallRatio = tangent(SlopeAngleRise)/tangent(SlopeAngleFall)
Example:
Summary of recent solar type III rise to fall rate ratios
yymmdd hhmm UTC, Author, rise to fall rate ratio
130524 1516 Greenman 4.3
130520 1603 Reeve 10.5
130518 1621 Reeve 7.9
130512 1824 Ozmar 2.8
130512 1824 Reeve 2.5
Histogram:
2 xx
3
4 x
5
6
7 x
8
9
10 x
Many thanks to the Authors.