Документ взят из кэша поисковой машины. Адрес оригинального документа : http://www.stsci.edu/~jordan/other/ao_orbit_30.nb.gz Дата изменения: Thu Apr 26 04:22:19 2001 Дата индексирования: Tue Oct 2 14:17:30 2012 Кодировка: Поисковые слова: п р п р п р п

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Cell["Orbital Influence on Atomic Oxygen Fluence", "Title"],

Cell["\<\
Mathematica model of the Jacchia Thermosphere/Exosphere Model which \
determines the integrated fluence of Atomic Oxygen.
\t\
\>", "Text"],

Cell[BoxData[
\(Basic\ Setup\ of\ the\ equations\ which\ govern\ the\ model\)], "Input",\

Evaluatable->False],

Cell[CellGroupData[{

Cell[TextData[StyleBox["Fixed Constants:", "Section"]], "Text",
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TextAlignment->Left,
TextJustification->0.25,
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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TextJustification->0.25,
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Cell[BoxData[
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InitializationCell->True,
TextAlignment->Left,
TextJustification->0.25,
Background->GrayLevel[1]],

Cell[BoxData[
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InitializationCell->True,
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Cell[BoxData[
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Cell[CellGroupData[{

Cell["Jacchia Model Constants:", "Subsubtitle"],

Cell[BoxData[
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Cell["\<\
'mu' is a fixed constant, along with 'lambda', 'temp1' and 'temp2' \
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\>", "Text"],

Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[CellGroupData[{

Cell["Julian Day calculation:", "Subsection"],

Cell["\<\
We define a junction JD which returns the Julian date given the \
inputs year, month, day, and UT hour. the Julian Day function is called by \
JD[YYYY,MO,DD,HR.HR]\
\>", "Text"],

Cell[BoxData[
\(\(bigYY := 1969; \)\)], "Input",
InitializationCell->True],

Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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InitializationCell->True],

Cell[BoxData[
\(LittleMonth[x_] := If[x <= 2, x + 12, x]\)], "Input",
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[CellGroupData[{

Cell["Orbital Elements", "Section"],

Cell[BoxData[
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Cell[BoxData[
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InitializationCell->True],

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eccentric\ anomaly\ in\ radians\ *) \)\)], "Input",
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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This\ is\ an\ approximation\ for\ the\ declination\ of\ the\
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}, Open ]],

Cell[CellGroupData[{

Cell["\<\
Environment Data
\
\>", "Section"],

Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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InitializationCell->True],

Cell[BoxData[
\(bigKp := 2.35\)], "Input",
InitializationCell->True],

Cell[BoxData[
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InitializationCell->True],

Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[CellGroupData[{

Cell[BoxData[
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Cell[CellGroupData[{

Cell[BoxData[
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}, Open ]],

Cell["\<\
distance from the earth center (same units as a)as a function of \
true anomaly.\
\>", "Text"],

Cell[BoxData[
\(AltiSpher[y_] := LittleROrb[y] - rEq\)], "Input",
InitializationCell->True],

Cell[CellGroupData[{

Cell[BoxData[
\(CompAltiSpher = Compile[{dummy}, littlerorbCon - rEq]\)], "Input",
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Cell[BoxData[
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}, Open ]],

Cell["\<\
altitude above a spherical earth (equatorial radius) as function of \
true anomaly.\
\>", "Text"],

Cell[BoxData[
\(Speed[con1_] := \@\(\(bigG*massEa\)\/1000*\((2\/a - 1\/con1)\)\)\)],
"Input",
InitializationCell->True],

Cell["speed in orbit (m/s) as function of true anomaly.", "Text"],

Cell[CellGroupData[{

Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[CellGroupData[{

Cell[BoxData[
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Cell["eccentric anomaly (in radians) as function of true anomaly.", "Text"],

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Cell[CellGroupData[{

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Cell["mean anomaly (in radians) as function of true anomaly.", "Text"],

Cell[BoxData[
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InitializationCell->True],

Cell[CellGroupData[{

Cell[BoxData[
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Cell["Geocentric lattitude (degrees) as function of true anomaly.", "Text"],

Cell[BoxData[
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Cell[CellGroupData[{

Cell[BoxData[
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Cell["\<\
Geocentric longitude (in degrees) at epoch of orbit ascending node \
crossing as function of true anomaly.\
\>", "Text"],

Cell[BoxData[
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Cell[CellGroupData[{

Cell[BoxData[
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Cell["\<\
time from last periapsis of satellite orbit (seconds) as function \
of true anomaly.\
\>", "Text"],

Cell[CellGroupData[{

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Cell[BoxData[
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Cell[CellGroupData[{

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Cell["\<\
Geocentric longitude (in degrees) corrected for earth rotation \
during the orbit as function of true anomaly (true, real-time \
longitude).\
\>", "Text"],

Cell[BoxData[
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Cell["fraction of a day from perigee to ascending node crossing.", "Text"],

Cell[BoxData[
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Cell[CellGroupData[{

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Cell["\<\
radius of earth at a given point in the satellite orbit (true \
anomaly) above a given latitude.\
\>", "Text"],

Cell[BoxData[
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Cell[CellGroupData[{

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Cell["Hour angle of the satellite orbit with respect to sun.", "Text"],

Cell["\<\
The above equation is not corrected for the equation of time.\
\>",
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Cell[BoxData[
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Cell[BoxData[
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Cell["satellite altitude above the elliptical earth geoid.", "Text"],

Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell["4 arguments in Jacchia model", "Text"],

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Cell[BoxData[
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Cell[BoxData[
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Cell["\<\
minimum night-time and maximum day-time temperatures base values \
for the exosphere.\
\>", "Text"],

Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell["The Exospheric Temperature:", "Subsection"],

Cell[BoxData[
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Cell[BoxData[
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'rEq' is the exospheric temperature at a given location around the \
earth. Input is the true anomaly of the orbit.\
\>", "Text"],

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Cell[BoxData[
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Cell["Now for the Temperature Model...", "Text"],

Cell[BoxData[
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'Tsubx' is the temperature at 125 km which is used as a parameter \
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\>", "Text"]
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Cell["The Temperature Model:", "Subsection"],

Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell[BoxData[
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Cell["Thus concludes the Temperature model.", "Text"],

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Cell["\<\
'Temper' is the Temperature at a height for a given angular \
location around the earth.\
\>", "Text"]
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Cell["\<\
Upper Atmospheric Density Model
\
\>", "Section",
InitializationCell->True],

Cell[BoxData[
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Cell["\<\
cMbar is the set of constants used to compute Mbar in the series \
approximation in the Jaccia model.\
\>", "Text"],

Cell[BoxData[
\(Mbar[x_] :=
28.15204 + \[Sum]\+\(n = 1\)\%6 constMbar[\([n]\)]*\((x - 100)\)\^n /;
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InitializationCell->True],

Cell[BoxData[
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Cell[CellGroupData[{

Cell[BoxData[
\(\(moleculesSL = {{N2, 0.78109711, 28.0134, 0}, {Ar, 0.00934, 39.948,
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0}, {O, 0, 31.9988/2, 0}}\ \ \ (*\ species, \
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Cell[BoxData[
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Cell[OutputFormData["\<\
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Cell[CellGroupData[{

Cell[BoxData[
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Cell["Separate subexpressions for O2, O, and He/N2/Ar:", "Text"],

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Cell[BoxData[
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Cell["\<\
now, an expression for the total number density of a species \
between 90 & 105 km:\
\>", "Text"],

Cell[CellGroupData[{

Cell["Ntotal & CompNtotal for x<=105 km", "Subsubsection"],

Cell[BoxData[
\(Ntotal[x_ /; x <= 105, y_] := {N2ArHe[x, y, 1], N2ArHe[x, y, 2],
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Cell["\<\
Returns number of molecules per cubic centimetre for each species \
as function of height and true anomaly. Note this is only half the function \
definition. The rest is defined in a few steps...\
\>", "Text"],

Cell[CellGroupData[{

Cell[BoxData[
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Cell["\<\
Returns the number of molecules of each species at the 105 km \
boundary.\
\>", "Text"],

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Cell["Data Setup", "Section"],

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\n\tbigMM = inputData[\([2]\)]; \norigMM = inputData[\([2]\)]; \n\t
bigDD = inputData[\([3]\)]; \n\tbigUT = inputData[\([4]\)]; \n\t
hp = inputData[\([5]\)]; \norigHP = inputData[\([5]\)]; \n\t
ha = inputData[\([6]\)]; \norigHA = inputData[\([6]\)]; \n\t
\[CapitalOmega] = inputData[\([7]\)]; \n
origCapOmega\ = \ inputData[\([7]\)]; \n\t\[Omega] = inputData[\([8]\)];
\norigLitOmega\ = \ inputData[\([8]\)]; \n\tio = inputData[\([9]\)]; \n
origIO\ = \ inputData[\([9]\)]; \n\t
\(F\_10.7\%0\)\&_ = inputData[\([10]\)]; \n\t
\(F\_10.7\%75\)\&_ = inputData[\([11]\)]; \n\t
\(F\_10.7\%400\)\&_ = inputData[\([12]\)]; \n\t
bigKp = inputData[\([13]\)]; \n\n
variationMatrix = {\n\t\t\t{2, {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}},
\n\t\t\t{
7, {0, 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,
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\t\t{e, {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16}}\n
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dumpMatrixToFile[currentoutputfile_String, data_List] := \n\t\t\t
Block[{}, \n\t\t\t\t
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WriteString[currentoutputfile, FortranForm[First[#]]]; \n
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\t\t\t\t]; \nClose[summaryfile]; \n
sumfile\ = \ OpenWrite[summaryfile]; \n\n
For[pick = 1, pick <= \ 5, \ \(++pick\), \n\t\t
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Clear[allSummary]; \n\t\tallSummary = {}; \n\t\n\t
For[elementValue = 1, elementValue <= Length[subset],
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\t\tIf[pick == 1, bigMM = inputVal, bigMM = origMM]; \n\t\t
If[pick == 2, \[CapitalOmega] = inputVal,
\[CapitalOmega] = origCapOmega]; \n\t\t
If[pick == 3, \[Omega] = inputVal, \[Omega] = origLitOmega]; \n\t\t
If[pick == 4, io = inputVal, io = origIO]; \n\t\t
If[pick == 5, \n\t\t\t
Module[{}, \n\t\t\t\thp = origHP + inputVal; \n\t\t\t\t
ha = origHP - inputVal; ], \n\t\t\t
Module[{}, \n\t\t\t\thp = origHP; \n\t\t\t\tha = origHA; ]\n
\t\t\t]\n\t\t\n\t\t\t\t\n
Module[{}, \n\t\t\t\n\tClear[allResults]; \n\tClear[result]; \n
\t\t\t\n\tlastTperi = 0; \n\tsumParticles = 0; \n\t
allResults = {}; \n\t\t\t\ \n\t\t\t
\(For[trueAnom = 0, trueAnom < 360, trueAnom = trueAnom + 3.6, \n
\t\t\t\n\t\t\tlittlerorbCon = CompLittleROrb[trueAnom]; \n
\t\t\t\taltispherCon\ = \ CompAltiSpher[trueAnom]; \n\t\t
speedCon = CompSpeed[trueAnom]; \n\t\t
eccanomCon\ = \ CompEccAnom[trueAnom]; \n\t\t
meananomCon\ = \ \ CompMeanAnom[trueAnom]; \n\t\t
latgeocCon\ = \ \ CompLatGeoc[trueAnom]; \n\t\t
longgeocCon\ = \ \ CompLongGeoc[trueAnom]; \n\t\t
tperiCon = CompTperi[trueAnom]; \n\t\t
longgeocsubtcCon\ = \ \ CompLongGeocSubTc[trueAnom]; \n\t\t
rgeoidCon\ = \ \ CompRgeoid[trueAnom]; \n\t\t
haneqtCon\ = \ \ CompHAneqt[trueAnom]; \n\t\t
altgeoidCon\ = \ \ CompAltGeoid[trueAnom]; \n\t\t
etaCon\ = \ \ CompEta[trueAnom]; \n\t\t
thetaCon\ = \ \ CompTheta[trueAnom]; \n\t\t
tauCon\ = \ \ CompTau[trueAnom]; \n\t\t
aCon\ = \ CompA[trueAnom]; \n\t\t
tniCon\ = \ \ CompTni[trueAnom]; \n\t\t
tdayCon\ = \ \ CompTday[trueAnom]; \n\t\t
tlCon\ = \ \ CompTl[trueAnom]; \n\t\t
tempinfCon\ = \ \ CompTempInf[trueAnom]; \n\t\t
tsubxCon\ = \ \ CompTsubx[trueAnom]; \n\t\t
biggsubxCon\ = \ \ CompBigGsubx[trueAnom]; \n\t\t
constraintvectCon\ = \ \ CompConstraintVect[trueAnom]; \n\t\t
bigaCon\ = \ \ CompBigA[trueAnom]; \n\t\t\t\n\t\t\t\t
oxyNumber = MonoOCompNtotal[altgeoidCon, trueAnom]; \n\t\t
logONumber = Log[10, oxyNumber]; \n\t\tClear[result]; \n\t\t
result\ =
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N[speedCon, 6], \ N[oxyNumber], \ N[logONumber, 5]}; \n
\t\t\t\n\t\t\tAppendTo[allResults, result]; \n\t\t
sumParticles =
sumParticles +
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lastTperi = tperiCon; \n\t\t\t\n\t\t\t];\)\n\t\t\n\t\t; \n
\t\t\tmaxvalue = Max[Last[Transpose[allResults]]]; \n\t\t\t
minvalue\ = \ Min[Last[Transpose[allResults]]]; \n\t\t
timeatperi = allResults[\([2, 2]\)] - allResults[\([1, 2]\)]; \n
\t\ttimeatapo =
allResults[\([52, 2]\)] - allResults[\([51, 2]\)]; \n\t\t\t\n
\t\t\toutputRecord =
Flatten[{inputData, period, sumParticles, minvalue, maxvalue,
timeatperi, timeatapo, bigMM, \[CapitalOmega], \[Omega],
io, hp, ha}]; \n\t\t\t\t
WriteString[summaryfile, FortranForm[outputRecord]]; \n\t\t\t\t\n
\t\t\t\tPrint["\"]; \n\t\t
AppendTo[allSummary, outputRecord]; \n\t\t
outputRecord >>> summary_orbit_variation_2.txt; \n\t\t
Print[outputRecord]; \n\t];
\ (*\ end\ of\ enclosed\ module\ *) \n\t\n\n\t];
\ (*\ end\ of\ middlemost\ for\ looping\ over\ the\ variations\ within
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\(\(\t\t\ttrueAnom = 111; \nlittlerorbCon = CompLittleROrb[trueAnom]; \n
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speedCon = CompSpeed[trueAnom]; \n\t\t
eccanomCon\ = \ CompEccAnom[trueAnom]; \n\t\t
meananomCon\ = \ \ CompMeanAnom[trueAnom]; \n\t\t
latgeocCon\ = \ \ CompLatGeoc[trueAnom]; \n\t\t
longgeocCon\ = \ \ CompLongGeoc[trueAnom]; \n\t\t
tperiCon = CompTperi[trueAnom]; \n\t\t
longgeocsubtcCon\ = \ \ CompLongGeocSubTc[trueAnom]; \n\t\t
rgeoidCon\ = \ \ CompRgeoid[trueAnom]; \n\t\t
haneqtCon\ = \ \ CompHAneqt[trueAnom]; \n\t\t
altgeoidCon\ = \ \ CompAltGeoid[trueAnom]; \n\t\t
etaCon\ = \ \ CompEta[trueAnom]; \n\t\t
thetaCon\ = \ \ CompTheta[trueAnom]; \n\t\t
tauCon\ = \ \ CompTau[trueAnom]; \n\t\taCon\ = \ CompA[trueAnom]; \n\t\t
tniCon\ = \ \ CompTni[trueAnom]; \n\t\t
tdayCon\ = \ \ CompTday[trueAnom]; \n\t\ttlCon\ = \ \ CompTl[trueAnom];
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tsubxCon\ = \ \ CompTsubx[trueAnom]; \n\t\t
biggsubxCon\ = \ \ CompBigGsubx[trueAnom]; \n\t\t
constraintvectCon\ = \ \ CompConstraintVect[trueAnom]; \n\t\t
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(***********************************************************************
End of Mathematica Notebook file.
***********************************************************************)