Charles,
IMO the angle of incident (sun angle) can be overlooked because it is variable. The important idea is to keep the sunlight from directly striking the container side (root zone) and overheating the soil and roots.
<edit> added 8/19/13
This Kansas State Thesis has several pictures descriptions and tables of test procedures and results regarding solar radiation and heat gain on containers.
Quote:
After four months (June-October), plant variables were measured. Roots were separated into three sections: core (10.2 cm diam.), north, and south, rinsed of all media, dried and weighed. In the bean study, media temperatures at the sun-facing side averaged lowest in gloss and flat white (~36 oC) and greatest in the black control (50.3 oC). Accordingly, total root biomass at the sun-facing side was reduced by 63 to 71% in black compared to flat and gloss white containers. In heat-sensitive maples, media temperatures at the sun-facing side averaged up to 7.7 oC greater in black, black shade and green than in other treatments; temperatures in black shade may have been lower if shade cloth had covered the sun-facing sides of containers in addition to only the media surface. Media temperatures in the core averaged 3.5 to 3.8 oC greater in black than in flat and gloss white, resulting in up to 2.5 times greater below ground biomass and up to 2.3 times greater above ground biomass in flat and gloss white than in black pots...
At temperatures over 30 oC, root growth slows considerably (Johnson and Ingram, 1984). For many woody species root growth will stop completely at temperatures above 39 oC (Mathers, 2003). The roots of some woody species (e.g., Ilex crenata ‘Helleri’) die when exposed to temperatures of 51 oC for merely thirty minutes (Martin et al., 1989). Studies have revealed that temperatures inside nursery containers can rise much higher than 51oC, and commonly surpass 54 oC in the southern states (Ingram et al., 1989; Martin et al., 1989) (Mathers, 2000).
Note:
30 deg C = 86 deg F
39 deg C = 102 deg F
51 deg C = 124 deg F