Because we know the spin-energy in both the earth and our sun, along with their surface (atmospheric) temperatures, we can use this information to establish the energy radiated and generated by our sun - including that through fission - by analytic comparison as demonstrated below.
The information in this section is known.
Sun: ES₁ = 1.60097718938751E+35 J (E₂)
Earth: ES₂ = 2.87701820945543E+28 J (E₂)
This Table lists the distances and areas that we can use to establish the stellar radiated heat at our extreme orbital distances; perigee (Rᴾ) and apogee (Rᴬ).
Radius | Value (m) | Area | Value (m²) | |
---|---|---|---|---|
Rᴾ | 1.47095E+11 | Aᴾ | 2.71897794748441E+23 | |
Rᴬ | 1.52094196155E+11 | Aᴬ | 2.9069338412793E+23 | |
r₁ | 6367444.5 | A₂ | 1.27373830409936E+14 | |
r₂ | 695710000 | A₁ | 6.0822793E+18 | |
Orbital and body dimensions |
EME radiated from the sun's surface (Eₛ) is the same at any distance in the universe. However, EME intensity decreases with increasing distance. For example, at earth's perigee and apogee;
Eᴾ = Eₛ . A₂/Aᴾ & Eᴬ = Eₛ . A₂/Aᴬ
mass: mᴱ = 5.39513197743931E+18 kg
Energy Capacity: cₚᴱ = 5.30277864707342E+21 J/K
There are two heat energy sources in our atmosphere; that supplied by the earth's internal spin-friction and that radiated by our sun.
Given that the mean relative temperature difference is 90K in winter:
perigee = northern hemisphere summer = southern hemisphere winter
apogee = northern hemisphere winter = southern hemisphere summer
Average: Ṯᴾ = 295 K (perigee) Ṯᴬ = 280 K (apogee)
Radiated: δṮᴾ = 96.2214665834975 K# (perigee) δṮᴬ = 90 K (apogee)
# iterated to ensure Eₛ
Sun's surface temperature: Ṯₛ = 5788 K
These calculations define two solar energies based upon the above input data;
a) that radiated from its surface, and;
b) its total internal energy, including spin-friction and fission.
The seasonal stored energy in the earth's atmosphere is:
perigee: Eᴾ = cₚᴱ.Ṯᴾ = 1.56431970088666E+24 J
apogee: Eᴬ = cₚᴱ.Ṯᴬ = 1.48477802118056E+24 J
The solar radiation proportion of the earth's seasonal atmospheric heat energy, which is based upon δṮ, is calculated thus:
perigee: Eₛᴾ = cₚᴱ.δṮᴾ = 5.10233361421404E+23 J
apogee: Eₛᴬ = cₚᴱ.δṮᴬ = 4.77250078236608E+23 J
because the sun's radiated heat does not vary with earth's orbital distance, its radiation energy should be equal for both seasons:
perigee: Eₛ = Eₛᴾ . Aᴾ/A₂ = 1.0891832323125E+33 J #
apogee: Eₛ = Eₛᴬ . Aᴬ/A₂ = 1.0891832323125E+33 J
The sun's EME intensity at the earth's orbital distance may be calculated thus:
Eᵢᴾ = Eₛᴾ/Aᴾ = 4.00585533737122E+09 J/m²
Eᵢᴬ = Eₛᴬ/Aᴬ = 3.74684561735044E+09 J/m²
Given that our sun's and the earth's matter are similar (albeit in different conditions), their relative spin-friction and radiated EME should also be similar.
Because we know the atmospheric temperature of both celestial bodies, we can compare their relative spin & atmospheric energies using their respective temperatures, the ratios (η) of which should be similar:
cₚ = ES/Ṯ J/K
η = cₚ/ES /K
η = 1/Ṯ /K
Earth:
η₂ = 1/(Ṯᴾ - δṮᴾ) = 0.00503068719187041 /K
Sun:
η₁ = 1/Ṯₛ = 0.000172771250863856 /K
Ratio: η = η₂/η₁ = 0.00503068719187041 ÷ 0.000172771250863856 = 29.1176174665459
The sun's total (internal) energy is 29.12 times as much as that through spin alone. This additional energy is due to the release of fissionable energy in the sun's core.
Fission is the reason bright stars are bright.
This section provides the calculation results.
In our study of the earth's atmosphere we established that 4.00109E+24 Joules of solar EME is absorbed by the earth itself.
This therefore represents an additional solar radiation (energy) as follows:
Eₘ = 4.00109E+24 . ½.(Aᴾ+Aᴬ)/A₂ = 8.8361083773880E+33 J
The energy radiated by the sun is therefore;
1.0891832323125E+33 + 8.8361083773880E+33 = 9.9252916097005E+33 J
total: E = ES₁.η = 4.66166413732514E+36 J
fission: EF = E - ES₁ = 4.50156641838639E+36 J
You will find further reading on this subject in reference publications(55, 60, 61, 62, 63 & 64)