The Moon's surface reflects light strongly back toward its source. This is known as specular reflection.
Right phenomenon, wrong name. Specular reflection is light that bounces off a surface so that the angle of departure is the angle of incidence, but reflected through the surface normal -- like a billiard ball bouncing off the rail in a predictable direction.
As already noted, you're thinking of heiligenschein, a combination of occluded shadows and the local interaction of light with the spherical translucent grains the comprise a percentage of the lunar regolith.
The capsule really did get cold after the explosion and resulting loss of power.
The sharpest temperature drop occurred when the cabin sun shades were drawn. The heat level might have been maintained longer if the sunlight had been allowed to enter the cabin through the windows and been converted to a more infrareddish wavelength.
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