,
part :under construction.(update soon), 31/01/2019
==================================
get files : [email protected].
==================================
ROCKET SCIENCE ( 2018 ),missile flight,rocket,cannon ball,....
================================================================
info : NASA papers ,others
========================
link :https://archive.org/search.php?query
search :flight handbooks nasa,114 results,download.
example :https://archive.org/search.php?query=flight+handbooks+nasa&page=1
info : special paper ' NASA' (Maxima,Movies)
=======================================
Katherine G Johnson described so dramatically in the film “Hidden Figures”.
=========================
trailer MOVIE : Hidden figures
==========================
oneline : paper and maxima.
download (Maxima,title ,png ) :nasadockatherinejohnson,find above oneline.
Numerical Methods : Eulers Method 'Hidden Figures'
software ' NASA' (GMAT 2018,general mission analysis tool)
=====================================================
download (NASA,soft) :https://sourceforge.net/projects/gmat/
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powerful computers: ' NASA' => landing on the moon
=======================================================================
start :rotating frame of reference course .
(A) course :https://www.youtube.com/watch?v=KmMriYWLtQc
(B) course :https://www.youtube.com/watch?v=ofpRRhPo7ok
(C),Ferrel's Law
lectures :classical mechanics (34 video's)
Course : video :
start : ballistic missile flight. (12 video's)
start : rocket propulsion. (40 video's)
start : lagrangian mechanics (25 video's),see : my website.
Books :
Fundanmentals Of Astrodynamics ,Roger R.Bate,Dover publications.
Mechanics and Thermodynamics of Propulsion,Philip Hill,Carl Peterson,PEARSON.
Understanding Aerospace Chemical Propulsion,H.S.Mukunda, Pvt Ltd New Dehli.
Design geosynchronous spacecraft,Brij N.Agrawal,Prentice-Hall.
Introduction to flight , John D Anderson Jr., Mc Graw Hill.
Quaternions and rotation sequences,Jack B.kuipers,princeton university press
=======================================================================
Maxima:
new: 04/08/2017:(E)nergy flow (J/s) and Mass flow(kg/s) (units,MKS)
download (Maxima,code) :Energyintroflowandmassflow
download (Maxima,png) :Energyintroflowandmassflowoutp
new: 02/08/2017:(P)otential and (K)inetic (E)nergy (units,MKS) =>' PE = EP,KE = EK '
download (Maxima,code) :EnergyintroEkEp
download (Maxima,png ) :EnergyintroEkEpoutp
new: 28/08/2018:Introduction Mach number (= M),'version 1.0'
M < 1 : subsonic
M = 1 : sonic
M >1 : supersonic
download (Maxima,code) :intoductionmachnumberversion1final
download (Maxima,png) :intoductionmachnumberversion1finaloutp
MATH:
new: 03/07/2018:relation between f(x,y) and taylor expansion 2D,version 1a
download (Maxima,code) :taylorexpansion2dversion1afinalsub
download (Maxima,png) :taylorexpansion2dversion1afinalsuboutp
new: 07/08/2018:Lagrangian and two mass problem( = total energy ) ,version 1.0
download (Maxima,code) :lagrangiantwomassproblemversion1final
download (Maxima,png) :lagrangiantwomassproblemversion1finaloutp
new: 03/07/2018:Transformation of two mass problem.(diff eq.),version 1.0
download (Maxima,code) :Transformationoftwomassversion1final
download (Maxima,png) :Transformationoftwomassversion1finaloutp
new: 03/07/2018:simplified approach thrid law of kepler( = use circular orbit ),version 1.0
download (Maxima,code) :simplifiedapproach3lawkeplerversionfinal
download (Maxima,png) :simplifiedapproach3lawkeplerversionfinaloutp
new: 03/07/2018:example : lagrange multiplier,max value nth root product of numbers (x[1],x[2],..,x[n])
download (Maxima,code) :examplelagrangeversion1final
download (Maxima,png) :examplelagrangeversion1finaloutp
new: 03/07/2018:Envelope of projectile trajectories (=safety parabola ),version 1.0
download (Maxima,code) :saftyparabolaenvelopcurvversion1final
download (Maxima,png) :saftyparabolaenvelopcurvversion1finaloutp
new: 03/07/2018:Lagrange multiplier and extrema ,version 1.0
download (Maxima,code) :appendixlagrangemulttiplierversion1final
download (Maxima,png) :appendixlagrangemulttiplierversion1finaloutp
new: 03/07/2018:appendix : rk with resistance ' -k*m*v ', version 1.0
download (Maxima,code) :appendixrkreskmvversion1final
download (Maxima,png) :appendixrkreskmvversion1finaloutp
new: 03/07/2018:polar equation for ellipse (elements),version 1.0
download (Maxima,code) :generalpolarequationforellipseversion1final
download (Maxima,png) :generalpolarequationforellipseversion1finaloutp
new: 03/07/2018:appendix : ode2 with resistance '-k*m*v^2'
download (Maxima,code) :appendixode2withreskmproductvvversion1final
download (Maxima,png) :appendixode2withreskmproductvvversion1finaloutp
new: 03/07/2018:appendix : desolve with resistance '-k*m*v'
download (Maxima,code) :appendixdesolvereskmvversion1final
download (Maxima,png) :appendixdesolvereskmvversion1finaloutp
new: 09/08/2018:Lagrangian and two mass problem ( = orbit diff eq), version 1.0
download (Maxima,code) :lagrangiantwomassproblemorbitdiffeqversion1final
download (Maxima,png) :lagrangiantwomassproblemorbitdiffeqversion1finaloutp
new: 09/08/2018:Central Force Motion ( = Force along distance between two masses ),version 1.0
download (Maxima,code) :generaleqmotioncentralfieldversion1final
download (Maxima,png) :generaleqmotioncentralfieldversion1finaloutp
new: 10/08/2018:Central Force of motion (=diff eq),version 1.0a
download (Maxima,code) :generaleqmotioncentralfielddiffeqrversion1afinal
download (Maxima,png) :generaleqmotioncentralfielddiffeqrversion1afinaloutp
download (Maxima,pdf) :generaleqmotioncentralfielddiffeqrversion1afinal
new:17/08/2018:Hohmann transfer , version 1.0
download (Maxima,code) :Hohmanntransferversion1final
download (Maxima,png) :Hohmanntransferversion1finaloutp
new:17/08/2018:kepler : second and thrid laws ' version 1.0'
download (Maxima,code) :keplersecthridlawversion1final
download (Maxima,png) :keplersecthridlawversion1finaloutp
new:23/08/2018:appendix : dot product , cross product ,'version 1.0'.
download (Maxima,code) :appendixdotcrossproductmaximaversion1final
download (Maxima,png) :appendixdotcrossproductmaximaversion1finaloutp
new:23/08/2018:appendix :vector : symbolic manipulations.
download (Maxima,code) :appendixvectorsymbolicmanipulationsversion1final
download (Maxima,png) :appendixvectorsymbolicmanipulationsversion1finaloutp
new: 02/09/2018:crossproduct and unit vectors , version 1.0
download (Maxima,code) :crossproductandunitvectorsmaximaversion1final
download (Maxima,png) :crossproductandunitvectorsmaximaversion1finaloutp
new: 03/09/2018:Polar coordinates and Normal-Tangential Coordinates( = velocity),version 1.0
download (Maxima,code) :polarcoordinatesandnormaltangentialversion1final
download (Maxima,png) :polarcoordinatesandnormaltangentialversion1finaloutp
new: 03/09/2018:rotating coordinate system , 'version 1.0'
download (Maxima,code) :rotatingcoordinatesystemversion1final
download (Maxima,png) :rotatingcoordinatesystemversion1finaloutp
new: 04/09/2018:Forces Airplane ( = pilot) , gliding flight and climb flight.'version 1.0'
download (Maxima,code) :forcesintroplaneglidingclimbversion1final
download (Maxima,png) :forcesintroplaneglidingclimbversion1finaloutp
new: 15/09/2018:Motion equations in spherical coordinates,( 1e Law of kepler),version 1.0
download (Maxima,code) :equationofmotionsphericalcoordinatesversion1final
download (Maxima,png) :equationofmotionsphericalcoordinatesversion1finaloutp
new:25/09/2018:appendix : triple 'crossproduct', version 1.0.
download (Maxima,code) :tripleappendixtriplecrossproductversion1final
download (Maxima,png) :tripleappendixtriplecrossproductversion1finaloutp
new: 26/09/2018:polar equation : relation with ellipse,a,b,c,e,θ,r , 'version 1.0'
download (Maxima,code) :polarequationrelationwithellipseabethetaversion1final
download (Maxima,png) :polarequationrelationwithellipseabethetaversion1finaloutp
new: 01/10/2018:Angle between(radius (= r),tangentline( = FD)),polar coordinates, 'version 1.0'
download (Maxima,code) :anglebetweentangentlineandradiuspolarcoordversion1final
download (Maxima,png) :anglebetweentangentlineandradiuspolarcoordversion1finaloutp
new: 01/10/2018:Calculation of curvature (x,y) and (r,θ), 'version 1.0'
download (Maxima,code) :Calculationofcurvaturexyandrandthetaversion1final
download (Maxima,png) :Calculationofcurvaturexyandrandthetaversion1finaloutp
new: 01/10/2018:Calculation of curvature (= 1/radius ) ,(x,y) and (r,θ), 'version 1.0a'
download (Maxima,code) :Calculationofcurvaturexyandrandthetaversion1afinal
download (Maxima,png) :Calculationofcurvaturexyandrandthetaversion1afinaloutp
new: 04/10/2018:numerical methods ' eulerdiffeq ' , version 1.0
download (Maxima,code) :numericalmethodeulerdiffvglfirstorderinitialversionfinal
download (Maxima,png) :numericalmethodeulerdiffvglfirstorderinitialversionfinaloutp
new: 07/10/2018:rotation of plane 'α' about axis 'w' with angle 'θ', version 1.0
download (Maxima,code) :rotationofplaneabooutwoverthetaversion1final
download (Maxima,png) :rotationofplaneabooutwoverthetaversion1finalimage
new: 31/01/2019:The unit vector to f(x),draw unit vector to f(x), version 1.0
download (Maxima,code) :Maximaunitricotocurveversion1final
download (Maxima,png) :Maximaunitricotocurveversion1finaloutp
MATH: Quaternions (Tutorial)
===========================================================
Nasa : Shuttle program ( = Space Shuttle)
=> Mission Planning and Analysis Division ( publication,1977)
"Euler angles,Quaternions,And Transformation Matrices"
download (Nasa ,pdf) :Mission Planning and Analysis Division ( 1977)
===========================================================
Simulation :Simulation des angles d'Euler
rem : ref
===========================================================
new: 23/10/2018:multiplication of two quaternions.
download (Maxima,code) :multiplicationquaternionversion1final
download (Maxima,png) :multiplication of two quaternionsimageoutp
new: 24/10/2018:multiplication of three quaternions, how to make function the easyway.
download (Maxima,code) :multiplicationofthreequaternionsversion1final
download (Maxima,png) :multiplicationofthreequaternionsversion1finalimage
new: 24/10/2018:other function for quaternion calculation, version 1.0
download (Maxima,code) :Howtomakeotherfunctionsforquaternionnversionfinal
download (Maxima,png) :Howtomakeotherfunctionsforquaternionnversionfinalimage
new: 25/10/2018:introduction of rotation with quaternions (part 1),version 1.0 ( complex numbers)
download (Maxima,code) :introductionrotpart1quaternionsversion1final
download (Maxima,png) :introductionrotpart1quaternionsversion1finalimage
new: 03/11/2018:introduction of rotation with quaternions (part 2),version 1.0
download (Maxima,code) :introductionofrotationwithquaternionspart2version1final
download (Maxima,png) :introductionofrotationwithquaternionspart2version1finalimage
new: 03/11/2018:introduction of rotation with quaternions (part 3),version 1.0
download (Maxima,code) :introductionofrotationwithquaternionspart3version1final
download (Maxima,png) :introductionofrotationwithquaternionspart3version1finalimage
new: 03/11/2018:introduction of rotation with quaternions (part 4),version 1.0
download (Maxima,code) :introductionofrotationwithquaternionspart4version1final
download (Maxima,png) :introductionofrotationwithquaternionspart4version1finalimage
new: 03/11/2018:introduction of rotation with quaternions (part 5),version 1.0 (example)
download (Maxima,code) :introductionofrotationwithquaternionspart5version1final
download (Maxima,png) :introductionofrotationwithquaternionspart5version1finalimage
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correction :qmult2(a1,a2,a3,a4,b1,b2,b3,b4,h):=(qa:a1+a2*i+a3*j+a4*k,qb:b1+b2*i+b3*j+b4*k,
h1:expand(qa.qb),h2:[i.j=k,j.i=-k,j.k=i,k.j=-i,k.i=j,i.k=-j,i.i=-1,j.j=-1,k.k=-1],h:subst(h2,h1))$
error :qb:b1+b1*i+b3*j+b4*k => correction 'Maxima Function'
--------------------------------------------------------------------------------------------------------------------------------------------------------
rem : h2,rules "quaternions", ( see: William Rowan Hamilton )
rem : operator '.' allows non-commutative(a.b <> b.a) product "Maxima". example : p:a.b ' <> a*b '
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<> = different
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MATH: Signal (Tutorial)
new: 08/11/2018:Heaviside ( unit ) step function ' Maxima', version 1.0
youtube : write a ramp function using the unit step function
wikipedia : ramp function
download (Maxima,code) :unitstepprogvb
download (Maxima,png) :unitstepprogvbimagepng
Dynamics & Mechanics :
new: 03/07/2018:error burn-out flight path angle by down range
download (Maxima,code) :errorsburnoutflightpathangledownrangeversion1final
download (Maxima,png) :errorsburnoutflightpathangledownrangeversion1finaloutp
new:27/06/2018:Max ranges,optimal angle , 'version 1.0'
download (Maxima,code) :maxrangeandoptimalangleversion1final
download (Maxima,png) :maxrangeandoptimalangleversion1finaloutp
new: 25/06/2018:eccentric anomaly (=E), relation of time of flight , 'version 1.0'
download (Maxima,code) :eccentricanomalyetimeofflightellipseversion1final
download (Maxima,png) :eccentricanomalyetimeofflightellipseversion1finaloutp
new: 25/06/2018:Orbital position as a function of 'time',(circle). 'version 1.0'
download (Maxima,code) :timeofflightfromperipointrefcircleversion1final
download (Maxima,png) :timeofflightfromperipointrefcircleversion1finaloutp
new: 25/06/2018:Orbital position as a function of 'time',measured from the peri-point. 'version 1.0'
download (Maxima,code) :timeofflightfromperipointrefellipseversion1final
download (Maxima,png) :timeofflightfromperipointrefellipseversion1finaloutp
new: 24/06/2018:integral: for ellipse. ' version 1.0'
download (Maxima,code) :integralellipsepolarequationversion1final
download (Maxima,png) :integralellipsepolarequationversion1finaloutp
new: 24/06/2018:integral: for circle. ' version 1.0'
download (Maxima,code) :integralecirclepolarequationversion1final
download (Maxima,png) :integralecirclepolarequationversion1finaloutp
new:24/06/2018:appendix :Max ranges trajectory 'version 1.0'
download (Maxima,code) :appendixMaxrangetrajectoryversion1final
download (Maxima,png) :appendixMaxrangetrajectoryversion1finaloutp
new: 22/06/2018:geometry :trajectory of ballistic missile, part 2 , 'version 1 '
download (Maxima,code) :geometrytrajectoryballisticmissilepart2version1final
download (Maxima,png) :geometrytrajectoryballisticmissilepart2version1finaloutp
new: 20/06/2018:geometry :trajectory of ballistic missile, part 1 'version 1 '
download (Maxima,code) :geometrytrajectoryballisticmissilepart1version1final
download (Maxima,png) :geometrytrajectoryballisticmissilepart1version1finaloutp
new: 19/06/2018:appendix :solve vector differential equation , version 1.0
download (Maxima,code) :appendixsolvevectordiffeqmodelversion1final
download (Maxima,png) :appendixsolvevectordiffeqmodelversion1finaloutp
new:18/06/2018:simple model ,powered flight with Drag, 2D model, 'version 1.0'
download (Maxima,code) :simplemodelofpoweredflightwithdragfinalversion1finalfinal
download (Maxima,png) :simplemodelofpoweredflightwithdragfinalversion1finalfinaloutp
new:13/06/2018:simple model ,powered flight without drag = D, 2D model, 'version 1.0a'
download (Maxima,code) :simplemodelofpoweredflightwithoutdragfinalversion1a
download (Maxima,png) :simplemodelofpoweredflightwithoutdragfinalversion1a
new: 10/06/2018:motion stays in one plane (angular momentum) 'version 1.0'
download (Maxima,code) :motionstaysintheplane
download (Maxima,png) :motionstaysintheplaneoutp
new: 09/06/2018:Ballistic Missile Trajectories 'Version 1.0'
download (Maxima,code) :Ballisticmiissiletrajectoriesneglectburnoutreentryversion1final
download (Maxima,png) :Ballisticmiissiletrajectoriesneglectburnoutreentryversion1finaloutp
new: 08/06/2018:rocket launch,missile flight.(freeflight) 'version 1.0'
download (Maxima,code) :rocketlaunchfreeflightversion1final
download (Maxima,png) :rocketlaunchfreeflightversion1finaloutp
new: 03/06/2018:Newton law 'second law ',equation of motion 2D. 'version 1.0'
download (Maxima,code) :newtonsecondlawandequationmotion2dversion1final
download (Maxima,png) :newtonsecondlawandequationmotion2dversion1finaloutp
new: 04/06/2018:flat earth : approxmation 2D version (projectile motion). 'version 1a'
download (Maxima,code) :flatearthapprox2dprjmotionfinalversion1a
download (Maxima,png) :flatearthapprox2dprjmotionfinalversion1aoutp
new: 03/06/2018:How to understand : motion equation 3D ,'version 1.0'
download (Maxima,code) :motion3DTaylorexpansionversion1final
download (Maxima,png) :motion3DTaylorexpansionversion1finaloutp
new: 04/06/2018:rocket science (cannon ball ,rotating earth:ω) ,version 2.0correct
download (Maxima,code) :rotatingearthcannonballversion2finalcorrect
download (Maxima,png) :rotatingearthcannonballversion2finalcorrectoutp
new: 20/08/2018:rRE-ENTRY equations of motion 2D( assume flat earth).
download (Maxima,code) :reentryequationsof motionforcesversion1final
download (Maxima,png) :reentryequationsof motionforcesversion1finaloutp
new: 21/08/2018:RE-ENTRY equations of motion 2D( assume flat earth,vertical motion).
download (Maxima,code) :verticalreentryequationsof motionforcesversion1final
download (Maxima,png) :verticalreentryequationsof motionforcesversion1finaloutp
new: 28/08/2018:RE-ENTRY equations of motion 2D( assume flat earth,non-vertical motion).
download (Maxima,code) :nonverticalreentrymotion2dneglectedgversion1final
download (Maxima,png) :nonverticalreentrymotion2dneglectedgversion1finaloutp
new:28/08/2018:orbit equation (after burnout,'vb,rb,β' ), version 1.0
download (Maxima,code) :orbitequationvbrbversion1final
download (Maxima,png) :orbitequationvbrbversion1finaloutp
Chemistry :
new: 03/07/2018:number of stages of 'rocket',parameters,version 1.0
download (Maxima,code) :numofstagesnasarocketparameterandratioversion1final
download (Maxima,png) :numofstagesnasarocketparameterandratioversion1finaloutp
new: 03/07/2018:optimization ratio M0/P from rocket some parameters. version 1.0
download (Maxima,code) :optimaratioM0overProcketparversion1final
download (Maxima,png) :optimaratioM0overProcketparversion1finaloutp
new: 03/07/2018:n stage rocket,version 1.0 (gravity = -g)
download (Maxima,code) :nstagerocketversion1final
download (Maxima,png) :nstagerocketversion1finaloutp
new: 03/07/2018:double stage rocket,version 1.0 (gravity = -g)
download (Maxima,code) :doublestagerocketversion1final
download (Maxima,png) :doublestagerocketversion1finaloutp
new: 03/07/2018:simple rocket equations ,in the direction movement 'v'. version 1.0
download (Maxima,code) :simplerocketequationofmovementvversion1final
download (Maxima,png) :simplerocketequationofmovementvversion1finaloutp
new: 03/07/2018:single stage rocket,version 1.0 (gravity = -g)
download (Maxima,code) :Singlestagerocketversion1final
download (Maxima,png) :Singlestagerocketversion1finaloutp
new: 03/07/2018:equation of motion for variable mass ,version 1.0
download (Maxima,code) :equationofmotionforvarmassversion1final
download (Maxima,png) :equationofmotionforvarmassversion1finaloutp
new: 03/07/2018:total energy orbit in general. 'version 1.0'
download (Maxima,code) :energyorbitofmasssgeneralversion1final
download (Maxima,png) :energyorbitofmasssgeneralversion1finaloutp
new: 13/06/2018:sounding rocket,version 1.0.
ref :sounding rocket.
download (Maxima,code) :soundingrocketvertpathversion1final
download (Maxima,png) :soundingrocketvertpathversion1finaloutp
new: 19/08/2018:equation motion rocket 2D (flight,θ,ψ,simple),version 1.0
download (Maxima,code) :equationofmotionofrocketwithphithetaversion1final
download (Maxima,png) :equationofmotionofrocketwithphithetaversion1finaloutp
new:06/09/2018:launch trajectories, (no rotation of the earth )'version 1.0a',corrected, 12/09/2018
download (Maxima,code) :launchtrajectoriesversion1afinalcorrected
download (Maxima,png) :launchtrajectoriesversion1afinalcorrectedoutp
new: 06/09/2018:launch dynamics to re-entery dynamics (no rotation of the earth), 'version 1.0a',corrected,12/09/2018
download (Maxima,code) :fromlaunchtoreenterydynamicsversion1afinalcorrected
download (Maxima,png) :fromlaunchtoreenterydynamicsversion1afinalcorrectedoutp
new: 18/09/2018:Fundamental theory of rocket propelled vehicles basic equation,'version 1.0'
download (Maxima,code) :FundamentalrocketpropelledvehiclesBasiceqversion1final
download (Maxima,png) :FundamentalrocketpropelledvehiclesBasiceqversion1finaloutp
new: 27/09/2018:Basic idea of jet propulsion ,version 1.0
download (Maxima,code) :Basicideoofjetpropulsiongasforceversion1final
download (Maxima,png) :Basicideoofjetpropulsiongasforceversion1finaloutp
Flight over rotating spherical earth :
new: 12/09/2018:flight over spherical earth (part 1:rotation),version 1.0
download (Maxima,code) :flightrotearthpart1rotationversion1final
download (Maxima,png) :flightrotearthpart1rotationversion1finaloutp
new: 13/09/2018:flight over spherical earth (part 2:orbital elements ,orthogonal set ,unit vector),version 1.0
download (Maxima,code) :flightrotearthpart2orbitplaneunitversion1final
download (Maxima,png) :flightrotearthpart2orbitplaneunitversion1finaloutp
new: 14/09/2018:flight over spherical earth (part 3:coordinate system),version 1.0
download (Maxima,code) :flightrotearthpart3coordinatesystemversion1final
download (Maxima,png) :flightrotearthpart3coordinatesystemversion1finaloutp
new: 21/09/2018:the plane of the orbit from 3d to 2d ( = coordinate transformation) , version 1.0
download (Maxima,code) :stayoneplaneorbit3dto2d
download (Maxima,png) :stayoneplaneorbit3dto2doutp
True Basic:
new: 03/07/2018:relation between f(x,y) and taylor expansion 2D,version 1a
download (Maxima,code) :taylorexpansion2dversion1afinalsub
download (Maxima,png) :taylorexpansion2dversion1afinalsuboutp
new: 03/07/2018:relation between f(x,y) and taylor expansion 2D,version 1a
download (Maxima,code) :taylorexpansion2dversion1afinalsub
download (Maxima,png) :taylorexpansion2dversion1afinalsuboutp
new: 03/07/2018:relation between f(x,y) and taylor expansion 2D,version 1a
download (Maxima,code) :taylorexpansion2dversion1afinalsub
download (Maxima,png) :taylorexpansion2dversion1afinalsuboutp
new: 03/07/2018:relation between f(x,y) and taylor expansion 2D,version 1a
download (Maxima,code) :taylorexpansion2dversion1afinalsub
download (Maxima,png) :taylorexpansion2dversion1afinalsuboutp