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Solar Spot Light
Znamya 2 calculation?

The Russian Znamya 2 was a 20-meter wide (flat) mirror, launched in 1992. It was
designed to test the feasibility of illuminating parts of the Earth’s surface by reflecting
sunlight from orbiting mirrors. Znamya 2 was deployed (for a few hours only) near
the space station MIR, orbiting at an altitude of
∼ 390 km.
(a) Calculate what size spot on the Earths surface was illuminated by Znamya 2.
(b) Assuming the mirror was optimally positioned so that it was
∼ perpendicular to
light from the Sun, how much solar energy did it receive per second ?

The Sun is about 1/2 degree wide in the sky, so the cone of light cast by an infinitely small mirror would be 1/2 degree wide or 390km * Tan 0.5 degree = 3.4 kilometer wide spot on the ground. So the 20 meter wide mirror make a spot 3.4 km + 20 meters wide, or 3.42 km wide. The area would be about 9,186,331 square meters, or almost 30,000 times larger in area than the 314 square meters area of the 20 meter mirror (assuming it is round). So the sunlight would be 30,000 times less intense than direct sunlight.

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MAXSA Innovations 40225 Solar-Powered Motion-Activated 80 LED Security Floodlight MAXSA Innovations 40225 Solar-Powered Motion-Activated 80 LED Security Floodlight
List Price: $129.95
Sale Price: Too low to display
Used From: $70.00
Average Rating:

Solar - powered easy and BRIGHT effective! 80 - LED Motion - activated Solar Floodlight, PRICED LESS! Utility and security light for your garage, driveway, walkway or shed... convenient, easy-install, no wiring hassles or energy costs, even! It's solar powered, automatic and brilliant! Swivel-head Light with 80 LEDs and a silver reflector for big, bright coverage...

Paradise GL23836BK2 Plastic Solar Spot Light, 2-Pack, Black Paradise GL23836BK2 Plastic Solar Spot Light, 2-Pack, Black
Sale Price: $69.99
Average Rating:

Strathwood Solar Garden Path Spot Lights, Black, Set of 2 Strathwood Solar Garden Path Spot Lights, Black, Set of 2
List Price: $69.99
Sale Price: $45.91
Average Rating:

Strathwood Spot Lights illuminate garden or landscaping features beautifully. Made of black cast iron for strength and durability, each light is weather and element-proof. The black finish lends itself to a variety of outdoor settings...

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MR16 LED bulbs are now available in 3 Watt light output with an estimated lifespan for the LED driver of 100,000 hours! This LED lighting unit is probably the most powerful LED light source available today in a MR16 halogen type format...

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Sale Price: $59.00

This size filter will fit any telescope with an optical tube diameter of 143-149mm. It is made with a sturdy aluminum outer cell that houses an optical thin film aperture. The thin film is a .002" thick black polymer...

Telescope Solar Filter by Seymour Solar for Meade ETX 90 Telescope Solar Filter by Seymour Solar for Meade ETX 90
Sale Price: $49.00

This size filter will fit any telescope with an optical tube diameter of 98-105mm. It is made with a sturdy aluminum outer cell that houses an optical thin film aperture. The thin film is a .002" thick black polymer...