F = L / 4 * pi * d ^ 2, where:
F (measured in watts / m ^ 2) = energy / radiant flux;
L = luminosity (measured in watts);
d = distance (measured in meters);
So. To find F, we need to guess what the lux is.
Lux (from Latin lux - light; Russian designation: lx, international designation: lx) is a unit for measuring illumination in the International System of Units (SI) [1]. Lux is equal to the illumination of a 1 m² surface with a luminous flux of radiation incident on it equal to 1 lm. Accordingly, the following will be fulfilled: 1 lux = 1 lm / m2.
The wiki article (
https://ru.wikipedia.org/wiki/Lux) indicates in the table that 32-130k suites = a clear sunny day. I will assume that we have somewhere 260k suites, since the Persians cannot see anything from the light and it occupies everything around.
But these are suites, and we need watts per square meter. To translate suites into this, we must multiply suites by 0.0079.
260,000 × 0.0079 = 2,054 W / m ^ 2.
Now d. Well, the distance here is the distance from the Moon to the Earth. Tobish 384403000 meters. This is the light FROM the Moon to the Earth. The light source is the Moon. This distance is the radius obtained, and the diameter is twice as large, 768806000 meters.
And you need to find L. It turns out that we have:
F = L / 4 * pi * d ^ 2
2054 = L / (4 * 3.14 * 768806000 ^ 2)
L = (4 * 3.14 * 768806000 ^ 2) * 2054
L = 1.5248377 × 10 ^ 22 watts and the same number of joules per second.
We take a couple of options. Shines for 5 seconds, 7.5 seconds and 10 seconds.
5 seconds: 1.5248377 x 10 ^ 22 x 5 = 7.6241885 x 10 ^ 22 joules, or 18.2222478489 teratons, Country Level (6-B).
7.5 seconds: 1.5248377 x 10 ^ 22 x 7.5 = 1.1436283 x 10 ^ 23 joules, or 27.3333717734 teratons, Country Level (6-B).
10 seconds: 1.5248377 x 10 ^ 22 x 10 = 1.5248377 x 10 ^ 23 joules, or 36.4444956979 teratons, Country Level (6-B)
