Example 4 Deviations in the measured values for the GRS of the Sun,originating from the Gravitational Field of the Sun within the fusion core of the sun.
Book:.TheinputfortheElectricFieldIntensity{E(x,y,z,)=ev}andtheMagneticFieldIntensity{H(x,y,z,)=mv}havebeensubstitutedintheFieldEquationfortheElectromagneticFieldwithinaconstantgravitationalfieldwithaccellerationginthez-direction.(BookEquation73,page46).+∇. −×∇×+∇. −×∇×+μ . ε . (∇. )
RisingoftheJamesWebbSpaceTelescopeanditsFundamentalBlindnes
:Page46,Equation(73)ExampleofaSphericalBeamofLight ,propagatingintheradial-direction(r-direction)withthespeedoflightc=1
ϵ0μ0
-
1
2
c
∂×
¯
E
¯
Η
∂t
ε
0
¯
E
¯
E
ε
0
¯
E
¯
E
μ
0
¯
Η
¯
Η
μ
0
¯
Η
¯
Η
1
2
2
ε
¯
E
¯
E
+
2
μ
¯
H
¯
H
¯
g
= 0
Equation
(73)
Whichcanbewrittenas:term1
=
-
t1
2
c
∂×
¯
E
¯
Η
∂t
erm
2
=
ε
0
¯
E
¯
E
term3=−×(∇×)
ε
0
¯
E
¯
E
term4=∇.
μ
0
¯
Η
¯
Η
term5=−×∇×
μ
0
¯
Η
¯
Η
term6=-μ( . )ε( . )
Equation(73)equals:term1+term2+term3+term4+term5+term6=01
2
2
ε
¯
E
¯
E
+
2
μ
¯
H
¯
H
¯
g
In[]:=
ϵ0=.
In[]:=
μ0=.
In[]:=
x=.
In[]:=
y=.
In[]:=
z=.
In[]:=
t=.
In[]:=
Get["VectorAnalysis`"]
In[]:=
Get["Calculus`DSolve`"]
Out[]=
$Failed
In[]:=
InverseFunctions->True
Out[]=
InverseFunctionsTrue
In[]:=
Needs["DifferentialEquations`NDSolveProblems`"]
In[]:=
Needs["DifferentialEquations`NDSolveUtilities`"]
In[]:=
Needs["DifferentialEquations`InterpolatingFunctionAnatomy`"]
In[]:=
Get["Calculus`DSolveIntegrals`"]
Out[]=
$Failed
In[]:=
SetCoordinates[Cartesian[x,y,z]]
Out[]=
Cartesian[x,y,z]
In[]:=
G1=.
In[]:=
ϵ0=.
In[]:=
μ0=.
In[]:=
fg=.
In[]:=
Msun=.
The energy from the Sun - both heat and light energy - originates from a nuclear fusion process that is occurring inside the core of the Sun. The specific type of fusion that occurs inside of the Sun is known as proton-proton fusion. Inside the Sun, this process begins with protons (which is simply a lone hydrogen nucleus) and through a series of steps, these protons fuse together and are turned into helium. This fusion process occurs inside the core of the Sun, and the transformation results in a release of energy that keeps the sun hot. The resulting energy is radiated out from the Core of the Sun and moves across the solar system.[3] It is important to note that the core is the only part of the Sun that produces any significant amount of heat through fusion (it contributes about 99%). The rest of the Sun is heated by energy transferred outward from the core.It is not clear from which part of the sun the GRS spectra has been measured. In this example the deviation will calculated between the light emitted from the exact center of the sun (z1 = 0) until the part of the outside radius of the sun (.
z2=696340)
3
10
TheenergyfromtheSun,bothheatandlightenergy,originatesfromanuclearfusionprocessthatisoccurringinsidethecoreoftheSun.ThespecifictypeoffusionthatoccursinsideoftheSunisknownasproton-protonfusion.InsidetheSun,thisprocessbeginswithprotons(whichissimplyalonehydrogennucleus)andthroughaseriesofsteps,theseprotonsfusetogetherandareturnedintohelium.
Thisfusionprocess
occursinsidethecoreoftheSun
,andthetransformationresultsinareleaseofenergythatkeepsthesunhot.TheresultingenergyisradiatedoutfromthecoreoftheSunandmovesacrossthesolarsystem.ItisimportanttonotethatthecoreistheonlypartoftheSunthatproducesanysignificantamountofheatthroughfusion(itcontributesabout99%).TherestoftheSunisheatedbyenergytransferredoutwardfromthecore.ThesunlookslikeafeaturelessyelloworbfromEarth,butithasdiscreteinternallayers.Thecentralcore,whichistheonlyplacethatnuclearfusionhappens,extendstoaradiusof138000kilometers
.Beyondthat,theradiativezoneextendsnearlythreetimesasfar,andtheconvectivezonereachestothephotosphere.Ataradiusof695000kilometersfromthecenterofthecore,thephotosphereisthedeepestlayerthatastronomerscanobservedirectly,andistheclosestthesunhastoasurface.In[]:=
The electromagnetic force density in the x - direction equals :
In[]:=
The electromagnetic force density in the y - direction equals :
In[]:=
The electromagnetic force density in the z - direction equals :
Results for the electromagnetic force densities in resp x-direction, y-direction, z-direction:
The Gravitational Doppler Shift from the center of the sun until the Gravitational Radius of the sun has been presented below :