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> Sent: Sunday, Octobe Hi Steve, Thanks for the correction. I dug out an old physics and sure enough the angle of incidence is the departure from a line normal to the surface and I was using incidence to mean the departure from the tangent of the surface. Oddly enough I could find no term for the angle (90-incidence angle). Dave ----- Original Message ----- From: "Stephen Shaw" <srshaw@Dal.Ca> To: <naturens@chebucto.ns.ca> Sent: Monday, February 29, 2016 2:08 AM Subject: RE: [NatureNS] Fw: Reconsideration; ground frost > Agreed, for the sunbeam element D units wide that strikes the earth's > surface at near grazing incidence close to sunrise, at angle A° (say 1°), > illuminating a corresponding surface area element S, the relative > insolation D/S = sin A. The angle of incidence is usually defined, > though, as the angle made relative to a radial line, therefore normal to > the surface. Incident angle then would be (90-1)°, thereafter falling to > 0°, if the sun were later to reach the zenith. > > The dawn sunbeam is (almost) a tangent that is (90-A°) to the normal to > the surface, so the angle of incidence as usually defined at that time > would be (90-1) = 89°. So if you define the angle as usual as that made > relative to the radius, not to the tangent line, it's cos(90-A°) = D/S = > sin(A°). It's a cosine relationship if the incident angle is defined > conventionally. > > This ignores a large effect which is the absorbing and scattering effect > of the thickness of the atmosphere, very large at the ends of the day and > minimal at noon. > > On an earlier question relating to the odd colour of a drake mallard's > neck, someone asked what the effect of the seasons on light colour might > be. The main effect on relative skylight composition is not seasonal, but > is whether the sun happens to be contributing to the incident light, or > whether illumination is solely from skylight, because of cloud cover or of > occluding obstacles like mountains. It is discussed in terms of the > effective 'equivalent colour temperature' ECT of the sky. With the sun in > evidence, the ECT is usually below 5000K and more reddish, but without it, > in northern latitudes, it can exceed 20,000K with a more steely blue cast, > and a more even proportion of UV to Blue. As Planck first analyzed, when > a perfectly black object is heated up, it radiates a well-defined, broad > light/heat spectrum with a distribution that depends upon its absolute (K) > temperature, peaking dull red to blue-white from hot to very hot. > Skylight has extra glitches and doesn't exactly copy black body radiation, > but colour specialists have made an equivalent scale (ECT), partly to > allow creation of standard lighting conditions. This is important, for > instance for matching cloth colour batches in the textile industry. > I checked the bible for this, 'Colour Science' (1972, 2nd ed) by G. > Wyszecki (a Canadian) & W.S. Stiles, and they mention in passing that > there may be minor variations throughout the season, but it doesn't sound > that they think these are important. Speculating, presumably the reason > is that contaminants in the atmosphere are generally more or less colour > neutral in the visible, so act like grey 'neutral' filters, affecting > intensity (irradiance) of course, but not much the spectral distribution. > Particles from forest fires and volcanic emissions might provide partial > exceptions, and water vapour is important in the infrared. > Steve > > > ________________________________________ > From: naturens-owner@chebucto.ns.ca [naturens-owner@chebucto.ns.ca] on > behalf of Hebda, Andrew J [Andrew.Hebda@novascotia.ca] > Sent: Sunday, February 28, 2016 10:54 PM > To: naturens@chebucto.ns.ca > Subject: RE: [NatureNS] Fw: Reconsideration; ground frost > > David > > I think I am missing something here. > > I can see the relationship with the sine of the angle of incidence.. but > until light strikes the surface, the effective angle of incidence is zero > (as it is during the dark period), so am no sure how it can approach zero > if it is there already.... or have I missed something fundamental here? > > Andrew > > ________________________________________ > From: naturens-owner@chebucto.ns.ca [naturens-owner@chebucto.ns.ca] on > behalf of David & Alison Webster [dwebster@glinx.com] > Sent: February-28-16 8:59 AM > To: NatureNS@chebucto.ns.ca > Subject: [NatureNS] Fw: Reconsideration; ground frost > > Dear All, Feb 28, 2016 > I overlooked another aspect to the question of frost shortly after > sunrise; effective interception of solar radiation. This would apply to > some extent year round in all terrain and locations given calm clear > weather. On a global scale, the area of sunlight intercepted by the earth > is a disk equal to the cross-sectional area of the globe. A portion of a > recent private e-mail on this aspect is pasted below. > START OF PASTE\\\\\\\\\\\\ > As one approaches the edge of this disk (sunrise) the effective area of > insolation realtive to the area of earth insolated (the interception of > radiation per unit area) approaches zero. Maximum insolation will be when > the sun is directly overhead. Elsewhere the incoming radiation per unit > area will be proportional to the sin of the angle of incidence. > An object will continue to cool until incoming radiation exceeds > outgoing radiation. > Sometimes it take a while to notice the obvious. > END OF PASTE > Yt, Dave Webster, Kentville > ----- Original Message ----- > From: David & Alison Webster<mailto:dwebster@glinx.com> > To: NatureNS@chebucto.ns.ca<mailto:NatureNS@chebucto.ns.ca> > Sent: Tuesday, October 13, 2015 7:15 AM > Subject: Reconsideration; ground frost > > Hi Paul, Andrew & All Oct 13, 2015 > This didn't get posted the first time; perhaps because it had become > too large so I have pasted the original with several earlier exchanges > clipped. > > START OF PASTE\\\\\\\\\\ > Hi Paul, Andrew & All,