32
α 0.001 f 0 0 c 0.007 0.37248099734 0.01879290501 6.37410637174 χ 36.7394292895 29.241675448 0.74644808743 0.55983606557 0.55718474723 0.31341642032 0.80136418617 0.87256699005 0.64218455888 0.76137315213 0.915 0.31498875 χ = 36.7394293 2.65795206972 2.620038703 0.515 1/η = 0.3368932 τ = 0.1735 1 0.41699211 2.96829971182 2.6200387031 τ 0.08 1 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.01 0.04 0.09 0.16 0.25 0.36 0.49 0.64 0.81 1 1.14604381256 1.141672641 1.12845754 1.106081561 1.073972262 1.03122084 0.976430448 0.907422956 0.820619534 0.709518443 0.559836066 3.23483310208 3.242025053 3.263963855 3.301795766 3.357642291 3.434997965 3.539507128 3.680543689 3.874754643 4.155398753 4.604731856 1.98402323893 1.1 1.2 1.3 0.4582575695 0.663324958 0.830662386 1.2180266553 1.763085945 2.207860809 0.49 0.65 0.762 4.27707064863 3.91964748 3.669360802 λtg χ 1.984023239 λ√(M2-1)] 1.218026655 1.763085945 0.49 0.65 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3 3.1 3.2 3.3 3.4 3.5 3.6 3.7 0.83066238629 0.979795897 1.118033989 1.2489996 1.374772708 1.496662955 1.615549442 1.732050808 1.846618531 1.959591794 2.071231518 2.181742423 2.291287847 2.4 2.507987241 2.615339366 2.722131518 2.828427125 2.93428015 3.039736831 3.144837039 3.249615362 3.354101966 3.458323293 3.562302626 0.265225 0.03010225 1.11282003434 1.312610902 1.497805417 1.67325715 1.841752604 2.005046272 2.164315871 2.320390174 2.473874021 2.625221803 2.774783073 2.922832089 3.069587673 3.21522694 3.359895059 3.503712328 3.646779413 3.789181287 3.930990245 4.072268229 4.213068654 4.353437857 4.493416251 4.633039258 4.772338072 3.14 2.05 1.73 1.58 1.48 1.41 1.36 1.33 1.30 1.27 1.25 1.23 1.22 1.20 1.19 1.18 1.17 1.17 1.16 1.15 1.15 1.14 1.13 1.13 1.12 3.4957039589 3.534141528 3.241230678 2.966192843 2.731071367 2.531489289 2.360742463 2.213116495 2.084154737 1.970433918 1.869311935 1.77872709 1.69705015 1.622977314 1.555452696 1.493611676 1.436739039 1.384237643 1.335604682 1.290413489 1.248299424 1.208948816 1.172090215 1.137487402 1.104933758 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 2.1 2.2 2.3 2.4 2.8241873747 2.83104112 2.85196546 2.88810899 2.94160476 3.01598451 3.11699352 3.25426349 3.4451096 3.72468686 4.18190719 4.01520918 3.73874067 3.46711257 3.49570396 3.53414153 3.24123068 2.96619284 2.73107137 2.53148929 2.36074246 2.21311649 2.08415474 1.97043392 1.86931193 COEFICIENTE DE LA FUERZA NORMAL DE LAS ALAS DEL VEHICULO (C α y)emp `f=f/b bMAC=4/3l[(η 2 +η+1)/(λ(η+1) 2 ] `c=c/b ao=2π(1+0,77`c)[1+(`f/2)] rad χ1/4 tgχ tgχ1/4 tg 2 χ tg 2 χ1/4 cos χ cosχ1/4 cos 2 χ cos 2 χ1/4 lemp Semp ,m2 λ=l2 emp/Semp 2πλ/ao = braiz ,m bpunta ,m kп = λ/ao = ηemp=braiz /bpunta 2πλ/ao kп Calculo de (C α y)emp M≤1 MM2 √(1+ tg 2 χ¼-M2 ) C α y emp inc = ao /[kп√(1+tg 2 χ¼-M¥ 2 )+ a o(1+τ)/λπ] Calculo de (C α y)emp 1<M≤1,3 λtg χ M√(M2 -1) λ√(M 2 -1)] Cy√(M 2 -1)]/4 (C α y)emp Cy√(M 2 -1)]/4 Calculo de (C α y)emp M>1,3 Mm=√(M2 -1) braiz 2 bpunta 2 n=ml/(br-bp)/2 n/(n-1) Cy α =(4/m)[br 2 /(br 2 -bp 2 )]{1-(bp 2 /br 2 )[n/(n-1)]} 0 1 2 3 4 5 6 7 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 Chart Title

Sustentacion Juan

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sustentancion

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Page 1: Sustentacion Juan

α 0.001

f 0

0

c 0.007

0.37248099734

0.01879290501

6.37410637174

χ 36.7394292895

29.241675448

0.74644808743

0.55983606557

0.55718474723

0.31341642032

0.80136418617

0.87256699005

0.64218455888

0.76137315213

0.915

0.31498875 χ = 36.73942932.65795206972 2.620038703

0.515 1/η = 0.3368932 τ = 0.08

0.1735 1 0.416992112.96829971182

2.6200387031

τ 0.08

1

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

0 0.01 0.04 0.09 0.16 0.25 0.36 0.49 0.64 0.81 1

1.14604381256 1.141672641 1.12845754 1.106081561 1.073972262 1.03122084 0.976430448 0.907422956 0.820619534 0.709518443 0.559836066

3.23483310208 3.242025053 3.263963855 3.301795766 3.357642291 3.434997965 3.539507128 3.680543689 3.874754643 4.155398753 4.604731856

1.98402323893

1.1 1.2 1.3

0.4582575695 0.663324958 0.830662386

1.2180266553 1.763085945 2.207860809

0.49 0.65 0.762

4.27707064863 3.91964748 3.669360802 λtg χ 1.984023239 λ√(M2-1)] 1.218026655 1.763085945 2.207860809

0.49 0.65 0.762

1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4 4.1 4.2

0.83066238629 0.979795897 1.118033989 1.2489996 1.374772708 1.496662955 1.615549442 1.732050808 1.846618531 1.959591794 2.071231518 2.181742423 2.291287847 2.4 2.507987241 2.615339366 2.722131518 2.828427125 2.93428015 3.039736831 3.144837039 3.249615362 3.354101966 3.458323293 3.562302626 3.666060556 3.769615365 3.872983346 3.97617907 4.079215611

0.265225

0.03010225

1.11282003434 1.312610902 1.497805417 1.67325715 1.841752604 2.005046272 2.164315871 2.320390174 2.473874021 2.625221803 2.774783073 2.922832089 3.069587673 3.21522694 3.359895059 3.503712328 3.646779413 3.789181287 3.930990245 4.072268229 4.213068654 4.353437857 4.493416251 4.633039258 4.772338072 4.911340276 5.050070365 5.188550164 5.326799194 5.464834969

3.14 2.05 1.73 1.58 1.48 1.41 1.36 1.33 1.30 1.27 1.25 1.23 1.22 1.20 1.19 1.18 1.17 1.17 1.16 1.15 1.15 1.14 1.13 1.13 1.12 1.12 1.12 1.11 1.11 1.11

3.4957039589 3.534141528 3.241230678 2.966192843 2.731071367 2.531489289 2.360742463 2.213116495 2.084154737 1.970433918 1.869311935 1.77872709 1.69705015 1.622977314 1.555452696 1.493611676 1.436739039 1.384237643 1.335604682 1.290413489 1.248299424 1.208948816 1.172090215 1.137487402 1.104933758 1.074247694 1.045268912 1.017855319 0.991880479 0.967231476

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9

2.82418737471 2.83104112 2.85196546 2.88810899 2.94160476 3.01598451 3.11699352 3.25426349 3.4451096 3.72468686 4.18190719 4.01520918 3.73874067 3.46711257 3.49570396 3.53414153 3.24123068 2.96619284 2.73107137 2.53148929 2.36074246 2.21311649 2.08415474 1.97043392 1.86931193 1.77872709 1.69705015 1.62297731 1.5554527 1.49361168

COEFICIENTE DE LA FUERZA NORMAL DE LAS ALAS DEL VEHICULO (C αy)emp

`f=f/b

bMAC=4/3l[(η2+η+1)/(λ(η+1)2]

`c=c/b

ao=2π(1+0,77`c)[1+(`f/2)] rad

χ1/4

tgχ

tgχ1/4

tg2χ

tg2χ1/4

cos χ

cosχ1/4

cos2χ

cos2χ1/4

lemp

Semp ,m2

λ=l2emp/Semp 2πλ/ao =

braiz ,m

bpunta ,m kп = λ/ao =

ηemp=braiz /bpunta

2πλ/ao

kп

Calculo de (Cαy)emp M∞≤1

M∞

M∞2

√(1+ tg2χ¼-M∞2)

Cαy emp inc = ao /[kп√(1+tg2χ¼-M¥

2)+ a o(1+τ)/λπ]

Calculo de (Cαy)emp 1<M∞≤1,3

λtg χM∞

√(M∞2-1)

λ√(M2-1)]

Cy√(M2-1)]/4

(Cαy)emp

Cy√(M2-1)]/4

Calculo de (Cαy)emp M∞>1,3

M∞

m=√(M∞2-1)

braiz2

bpunta2

n=ml/(br-bp)/2

√n/(n-1)

Cyα=(4/m)[br

2/(br2-bp

2)]{1-(bp2/br

2)√[n/(n-1)]}

0 1 2 3 4 5 6 70

0.5

1

1.5

2

2.5

3

3.5

4

4.5

Chart Title

Page 2: Sustentacion Juan

18.51673947

4.3 4.4 4.5 4.6 4.7 4.8 4.9 5 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6

4.182104733 4.284857057 4.387482194 4.489988864 4.592385001 4.694677838 4.796873982 4.898979486 5.0009999 5.102940329 5.204805472 5.306599665 5.408326913 5.509990926 5.611595139 5.713142743 5.814636704 5.916079783

5.602673252 5.740328268 5.877812895 6.015138815 6.152316656 6.289356108 6.426266023 6.563054508 6.699729002 6.836296341 6.972762821 7.10913425 7.245415996 7.381613026 7.517729944 7.653771024 7.78974024 7.925641291

1.10 1.10 1.10 1.10 1.09 1.09 1.09 1.09 1.08 1.08 1.08 1.08 1.08 1.08 1.07 1.07 1.07 1.07

0.94380713 0.921516486 0.900277536 0.880016129 0.860665041 0.84216317 0.824454849 0.807489244 0.791219836 0.775603966 0.760602439 0.746179173 0.732300895 0.718936867 0.706058651 0.693639891 0.681656124 0.670084615

3 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6

1.43673904 1.38423764 1.33560468 1.29041349 1.24829942 1.20894882 1.17209021 1.1374874 1.10493376 1.07424769 1.04526891 1.01785532 0.99188048 0.96723148 0.94380713 0.92151649 0.90027754 0.88001613 0.86066504 0.84216317 0.82445485 0.80748924 0.79121984 0.77560397 0.76060244 0.74617917 0.73230089 0.71893687 0.70605865 0.69363989 0.68165612 0.67008461

Page 3: Sustentacion Juan

COEFICIENTE DE SUSTENTACION DEL FUSELAJE

metodo 1

α 0.001

0.1 0.2 0.3 0.4 0.5

10 10 10 10 10

0.17453 0.17453 0.17453 0.17453 0.17453

2.062180281 2.062180281 2.062180281 2.062180281 2.062180281

0.327533215 0.327533215 0.327533215 0.327533215 0.327533215

1.1 1.2 1.3 1.4 1.5

1.21 1.44 1.69 1.96 2.25

0.458257569 0.663324958 0.830662386 0.979795897 1.118033989

2.062180281 2.062180281 2.062180281 2.062180281 2.062180281

0.000352854 0.000352854 0.000352854 0.000352854 0.000352854

2.062533135 2.062533135 2.062533135 2.062533135 2.062533135

0.327589258 0.327589258 0.327589258 0.327589258 0.327589258

metodo 2

0.572

1.956

0.2064

2.771317829

9.476744186

3.41958042

0.21065975

0.033458794

0.158828604

0.1 0.2 0.3 0.4 0.5

0.359030432 0.353548729 0.344218621 0.330714554 0.31249588

0.035 0.035 0.035 0.035 0.035

2.005346 2.005346 2.005346 2.005346 2.005346

0.318506305 0.318506305 0.318506305 0.318506305 0.318506305

Calculo de (Cαy)fus M∞<1

M∞

δ grad

δ rad

(Cαy) f=2/(cos2δ)

(Cαy)fus Sfus/Semp

Calculo de (Cαy)fus M∞>1

M∞

M∞2

√(M∞2-1)

(Cαy)cil =4λα2 /π

(Cαy)fus =(Cy

α)con + (Cyα )cil

(Cαy) fus Sfus/Semp

lcon , m

lcil , m

dM ,m

λcono=lcono/dM

λcil=lcil/dM

λcilindro / λcono

Semp

Sfus=πr2, m2

Sfus/Semp

M∞

√(M∞2-1)/λcono M∞>1 ó √(1-M∞

2)/λcono M∞<1

(Cαy)f , 1/grad

(Cαy)f , 1/rad

(Cαy) fSfus/Semp

Page 4: Sustentacion Juan

COEFICIENTE DE SUSTENTACION DEL FUSELAJE

0.6 0.7 0.8 0.9

10 10 10 10

0.17453 0.17453 0.17453 0.17453

2.062180281 2.062180281 2.062180281 2.062180281

0.327533215 0.327533215 0.327533215 0.327533215

1.6 1.7 1.8 1.9 2 2.1 2.2 2.3

2.56 2.89 3.24 3.61 4 4.41 4.84 5.29

1.2489996 1.374772708 1.496662955 1.615549442 1.732050808 1.846618531 1.959591794 2.071231518

2.062180281 2.062180281 2.062180281 2.062180281 2.062180281 2.062180281 2.062180281 2.062180281

0.000352854 0.000352854 0.000352854 0.000352854 0.000352854 0.000352854 0.000352854 0.000352854

2.062533135 2.062533135 2.062533135 2.062533135 2.062533135 2.062533135 2.062533135 2.062533135

0.327589258 0.327589258 0.327589258 0.327589258 0.327589258 0.327589258 0.327589258 0.327589258

0.6 0.7 0.8 0.9 1 1.1 1.2 1.3

0.288671329 0.257690704 0.216503497 0.157286144 0 0.165357277 0.239353621 0.299735518

0.035 0.036 0.037 0.038 0.039 0.041 0.043 0.045

2.005346 2.0626416 2.1199372 2.1772328 2.2345284 2.3491196 2.4637108 2.578302

0.318506305 0.327606486 0.336706666 0.345806846 0.354907026 0.373107386 0.391307747 0.409508107

Calculo de (Cαy)fus M∞<1

Calculo de (Cαy)fus M∞>1

Page 5: Sustentacion Juan

2.4 2.5 2.6 2.7 2.8 2.9 3 3.1

5.76 6.25 6.76 7.29 7.84 8.41 9 9.61

2.181742423 2.291287847 2.4 2.507987241 2.615339366 2.722131518 2.828427125 2.93428015

2.062180281 2.062180281 2.062180281 2.062180281 2.062180281 2.062180281 2.062180281 2.062180281

0.000352854 0.000352854 0.000352854 0.000352854 0.000352854 0.000352854 0.000352854 0.000352854

2.062533135 2.062533135 2.062533135 2.062533135 2.062533135 2.062533135 2.062533135 2.062533135

0.327589258 0.327589258 0.327589258 0.327589258 0.327589258 0.327589258 0.327589258 0.327589258

1.4 1.5 1.6 1.7 1.8 1.9 2 2.1

0.353548729 0.403430446 0.450687967 0.49607183 0.540054605 0.582953505 0.62499176 0.666332281

0.047 0.049 0.04955 0.0501 0.05065 0.0512 0.05175 0.0523

2.6928932 2.8074844 2.83899698 2.87050956 2.90202214 2.93353472 2.9650473 2.99655988

0.427708467 0.445908828 0.450913927 0.455919026 0.460924125 0.465929224 0.470934323 0.475939422

Page 6: Sustentacion Juan

3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9

10.24 10.89 11.56 12.25 12.96 13.69 14.44 15.21

3.039736831 3.144837039 3.249615362 3.354101966 3.458323293 3.562302626 3.666060556 3.769615365

2.062180281 2.062180281 2.062180281 2.062180281 2.062180281 2.062180281 2.062180281 2.062180281

0.000352854 0.000352854 0.000352854 0.000352854 0.000352854 0.000352854 0.000352854 0.000352854

2.062533135 2.062533135 2.062533135 2.062533135 2.062533135 2.062533135 2.062533135 2.062533135

0.327589258 0.327589258 0.327589258 0.327589258 0.327589258 0.327589258 0.327589258 0.327589258

2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9

0.707097459 0.747381443 0.787258105 0.826786384 0.866013986 0.904980011 0.943716862 0.982251653

0.05285 0.0534 0.054 0.0542727 0.0545454 0.0548181 0.0550908 0.0553632

3.02807246 3.05958504 3.0939624 3.10958691 3.12521142 3.14083593 3.15646044 3.172067762

0.480944521 0.48594962 0.491409728 0.493891348 0.496372967 0.498854586 0.501336205 0.503815094

Page 7: Sustentacion Juan

4 4.1 4.2 4.3 4.4 4.5 4.6 4.7

16 16.81 17.64 18.49 19.36 20.25 21.16 22.09

3.872983346 3.97617907 4.079215611 4.182104733 4.284857057 4.387482194 4.489988864 4.592385001

2.062180281 2.062180281 2.062180281 2.062180281 2.062180281 2.062180281 2.062180281 2.062180281

0.000352854 0.000352854 0.000352854 0.000352854 0.000352854 0.000352854 0.000352854 0.000352854

2.062533135 2.062533135 2.062533135 2.062533135 2.062533135 2.062533135 2.062533135 2.062533135

0.327589258 0.327589258 0.327589258 0.327589258 0.327589258 0.327589258 0.327589258 0.327589258

3 3.1 3.2 3.3 3.4 3.5 3.6 3.7

1.02060727 1.058803187 1.096856087 1.134780358 1.17258848 1.210291339 1.247898475 1.28541829

0.0556362 0.0559089 0.0561816 0.0564543 0.056727 0.057 0.0572 0.0574

3.187709461 3.203333971 3.218958481 3.234582991 3.250207501 3.2658492 3.27730832 3.28876744

0.506299443 0.508781062 0.511262681 0.513744301 0.51622592 0.518710269 0.520530305 0.522350341

Page 8: Sustentacion Juan

4.8 4.9 5 5.1 5.2 5.3 5.4 5.5

23.04 24.01 25 26.01 27.04 28.09 29.16 30.25

4.694677838 4.796873982 4.898979486 5.0009999 5.102940329 5.204805472 5.306599665 5.408326913

2.062180281 2.062180281 2.062180281 2.062180281 2.062180281 2.062180281 2.062180281 2.062180281

0.000352854 0.000352854 0.000352854 0.000352854 0.000352854 0.000352854 0.000352854 0.000352854

2.062533135 2.062533135 2.062533135 2.062533135 2.062533135 2.062533135 2.062533135 2.062533135

0.327589258 0.327589258 0.327589258 0.327589258 0.327589258 0.327589258 0.327589258 0.327589258

3.8 3.9 4 4.1 4.2 4.3 4.4 4.5

1.322858215 1.360224845 1.397524061 1.434761119 1.471940738 1.509067162 1.546144225 1.583175393

0.0576 0.0578 0.058 0.058 0.058 0.058 0.058 0.058

3.30022656 3.31168568 3.3231448 3.3231448 3.3231448 3.3231448 3.3231448 3.3231448

0.524170377 0.525990413 0.527810449 0.527810449 0.527810449 0.527810449 0.527810449 0.527810449

Page 9: Sustentacion Juan

5.6 5.7 5.8 5.9 6

31.36 32.49 33.64 34.81 36

5.509990926 5.611595139 5.713142743 5.814636704 5.916079783

2.062180281 2.062180281 2.062180281 2.062180281 2.062180281

0.000352854 0.000352854 0.000352854 0.000352854 0.000352854

2.062533135 2.062533135 2.062533135 2.062533135 2.062533135

0.327589258 0.327589258 0.327589258 0.327589258 0.327589258

4.6 4.7 4.8 4.9 5 5.1 5.2 5.3

1.620163814 1.65711235 1.694023611 1.730899982 1.767743647 1.804556607 1.841340706 1.878097639

0.058 0.058 0.058 0.058 0.058 0.058 0.058 0.058

3.3231448 3.3231448 3.3231448 3.3231448 3.3231448 3.3231448 3.3231448 3.3231448

0.527810449 0.527810449 0.527810449 0.527810449 0.527810449 0.527810449 0.527810449 0.527810449

Page 10: Sustentacion Juan

5.4 5.5 5.6 5.7 5.8 5.9 6

1.91482897 1.951536145 1.988220502 2.024883281 2.061525633 2.098148629 2.134753264

0.058 0.058 0.058 0.05775 0.0575 0.05725 0.057

3.3231448 3.3231448 3.3231448 3.3088209 3.294497 3.2801731 3.2658492

0.527810449 0.527810449 0.527810449 0.525535404 0.523260359 0.520985314 0.518710269

Page 11: Sustentacion Juan

DATOS INICIALES

0 Altura de vuelo

0.1034 Radio de cilindro de fuselaje

0.406 Envergadura de cola

0.423 Cuerda de raiz

0.1495 Cuerda de punta

0.355 Cuerda empotramiento

0.3

2.829431438 Estrechamiento

2.568 Distancia de nariz hasta MAC

0.572 Longitud de cono

1.956 Longitud de cilindro

2.528

2.878 Longitud total de cohete

0 Longitude de cola detraz de aletas

10 Arco de cono

346.7267497 Velocidad sonido

1.56624E-05 Viscocidad cinematica

0.21065975 Area empenaje

2.765957447 Alargamiento del cono

0.006397823 Volumen del cono

0.033588605 Superficie area media fuselaje

0.1 0.2 0.3

0.01 0.04 0.09

0.254679803

1.214121731

0.360099677

1.115255354

2.568

5684916.062 11369832.12 17054748.18

24.83558994

0.050919895 0.044328343 0.040875516

0.984688717 0.986670754 0.987708997

0.989072978

0.3911329 0.391920194 0.392332599

1.318754176 1.321408639 1.322799116

0.350501124

0.566635382

0.2674

0.5348

0.921621925

0.948281988

0.911371438

0.944355108

-3.025045486 -2.978858873 -2.900247146

H,m

r , m

sm ,m

braiz ,m

bpunta ,m

bemp ,m

bMAC ,m

ηemp=braiz /bpunta

l1 , m

lcon , m

lcil , m

(lcon+lcil), m

l , m

xcola , m

δºcono

c, m/s

ν∞, , Ns/m3

Semp ,m2

λcon=lcon /d

Wcon, m3

Sfus=πr2, m2

M∞

M∞2

rm = r/sm

(Kemp)teor=(1+0,4rm)2

(Kfus)teor=(1+rm)2-(Kemp)teor

νη=1+{[rm(1-rm)]/[(1+rm2)]}(1-1/ηemp)

l1

Re=V∞l1/ν∞

>̅l1=l1/r

`δ*inc=0,046Re-0,2`l1

νcapa lim =1-`δ* {[rm (1+rm2)( rm +ηemp (1+3 rm)-1]/[1+ηemp]}

ν l=[0,6+(1+0,2 ̅l1)2]/[1+(1+0,2̅l1)2]

Kfus=(Kfus)teorνηνcap limνl

Kemp=(Kemp)teorνηνcap limνl

(ccp)α emp(fus)=(xcp/bemp)α emp(fus) , M<1

(ccp)α emp(fus)=(xcp/bemp)α emp(fus) , M>1

(ccp)α fus(emp)=(xcp/bemp)α fus(emp) , M<1

(ccp)α fus(emp)=(xcp/bemp)α fus(emp) , M>1

(c'cp)α emp(fus)=(lcon+lcil)/l+(ccp)α emp(fus)(bemp/l), M<1

(c'cp)α emp(fus)=(lcon+lcil)/l+(ccp)α emp(fus)(bemp/l), M>1

(c'cp)α fus (emp)=(lcon+lcil)/l+(ccp)α fus(emp)(bemp/l), M<1

(c'cp)α fus (emp)=(lcon+lcil)/l+(ccp)α fus(emp)(bemp/l), M>1

_1,09918Ö(1-M∞2)/λcon

Page 12: Sustentacion Juan

0.004699698 0.004921852 0.005324381

0.384212227 0.384339299 0.384569546

0.063512082 0.063467929 0.063387927

0.317272981 0.317272981 0.317272981

1 1 1

3.298905453 3.323036955 3.364728376

1.290310456 1.302365288 1.32009263

4.350445342 4.391089739 4.45085972

5.958028779 6.010728008 6.088225332

-5.205568573 + -5.325215898

0.873706517 0.874103728 0.874674574

2.514527356 2.51567053 2.517313424

1.709887076 1.713328833 1.715131715

Δxcp /lcon =0,09679exp[-1,09918Ö(1-M∞2)/λcon]

xcp =lcon (1- W/ lcon Sfus+Δxcp /lcon ) M<1

xcp =⅓lcon M>1

(ccp)fus =1-[xcp ojiv+lcil+bemp] / l

Sfus/Semp(Cαy) f=2πr2/Semp (metodo 2)

`δ*/`δ*inc=(1+0,14M∞2)0,35

(νcap lim)comp=1-{[rm(1+rm2){rm+ηemp(1+3rm)-1}]/[1+ηemp]}`δ*inc(`δ*/`δ*inc)

νM=e0,05(1-M∞)

xi=πr√(M∞2-1)

d = 0,866 [(bemp /xi)2 (4 + 1/ηemp)(1 + 8rm2) ]- ½

z1= [(bemp+xcola)/xi] [2(4 + 1/ηemp)(1 + 8rm2) ]½

Φ (z1)

z2= (xcola /xi) [2(4 + 1/ηemp) (1 + 8rm2) ]½

Φ (z2)

F =1- d [Φ (z1)- Φ (z2)]

(Kfus) comp=(Kfus)teorνηνcap lim compνlνMF

(Kemp) comp=(Kemp)teorνηνcap lim compνlνM

x = 1-cos δcono+{1+[(k-1)/2]M∞2sen2δcono}½

x2

{[x2/[1+[(k-1)/2]x2 ]}k/(k-1)

{kx2 -(k-1)/2}-1/(k-1)

νo={(k+1)/2}(k+1)/(k-1){[x2/[1+[(k-1)/2]x2 ]}k/(k-1){kx2 -(k-1)/2}-1/(k-1)

{ νok/(k-1) [1+[(k-1)/2]]M∞

2-1}

kT={2/[M∞2(k-1)]}{ νo

k/(k-1) [1+[(k-1)/2]]M∞2-1}

(Cαy)emp

(ΔCαy)f(emp)=Kfus (Cα

y emp) M∞<1,5

(ΔCαy)f(emp)=(Kfus) comp k1(Cα

y emp) M∞>1,5

(ΔCαy)emp(f)=Kemp (Cα

y emp) M∞<1,5

(ΔCαy)emp(f)=(Kemp)comp k1(Cα

y emp) M∞>1,5

Cαy cohete = (Cy

α)emp(f) + (ΔCyα)f(emp) +(ΔCy

α)emp

mzα = (ccp)fus (Cy

α)fus+(c'cp)α fus(emp)(ΔCαy)fus(emp)+(c'cp)α emp(fus) (ΔCα

y)emp(fus)

ccp = - myα / Cy

α

xcp=ccpl l

Kαα

Page 13: Sustentacion Juan

DERIVADA ESTATICA DEL COEFICIENTE DE LA FUERZA NORMAL Y CENTRO DE PRESION DEL VEHICULO0.4 0.5 0.6 0.7 0.8 0.9 1 1.1

0.16 0.25 0.36 0.49 0.64 0.81 1 1.21

22739664.25 28424580.31 34109496.37 39794412.43 45479328.49 51164244.55 56849160.62 62534076.68

0.038590064 0.036905705 0.035584204 0.034503877 0.033594602 0.032812476 0.032128282 0.031521652

0.988396218 0.988902694 0.98930006 0.989624908 0.989898321 0.990133501 0.990339234 0.990521644

0.392605574 0.392806753 0.392964593 0.393093627 0.393202231 0.393295648 0.393377368 0.393449824

1.323719483 1.324397786 1.324929963 1.325365018 1.325731189 1.326046157 1.326321686 1.32656598

-2.786467327 -2.632964137 -2.432228085 -2.171197849 -1.824171064 -1.325229554 0

Page 14: Sustentacion Juan

0.005965998 0.006955826 0.00850212 0.011038022 0.015617196 0.025721163 0.09679 0

0.384936551 0.385502732 0.386387213 0.387837748 0.390457036 0.396236505 0.190666667

0.190666667

0.063260406 0.063063679 0.062756354 0.062252346 0.061342239 0.059334084 0.130762103 0.130762103

0.317272981 0.317272981 0.317272981 0.326337923 0.335402866 0.344467808 1.344467808 0.371662635

1.056299517

0.989988017

0.995012479

0.148861049

0.141218353

8.672448853

1

0

0

0.858781647

0.336021144

1.319238604

1.018834299

1.038023329

0.588827604

0.568749121

0.999990317

0.241996564

1 1 1 1 1 1 0.999985801

3.426456566 3.512331709 3.629063762 3.78796463 4.009556713 4.336190457 4.878751454 5.237229366

1.345245946 1.379667615 1.426093565 1.489024757 1.576566645 1.705404837 1.919190408

1.759794814

4.535667313 4.651724338 4.808255316 5.020435811 5.315594389 5.749988691 6.470793856

6.909057058

6.19818624 6.348664934 6.551621862 6.835798491 7.2275639 7.799861336 9.734452072 9.040514508

-5.426259989 -5.564529198 -5.751005358 -6.004313651 -6.356380506 -6.874011585 -7.888526249 -8.20416048

0.875459333 0.876488089 0.877798731 0.878363173 0.879463758 0.881299204 0.810371882 0.907488227

2.519571959 2.522532721 2.526304748 2.527929211 2.531096694 2.536379109 2.332250277 2.611751117

1.716325056 1.717204539 1.717894556 1.718458646 1.71893342 1.719341805 1.719699055 1.655259748

Page 15: Sustentacion Juan

1.858

DERIVADA ESTATICA DEL COEFICIENTE DE LA FUERZA NORMAL Y CENTRO DE PRESION DEL VEHICULO1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9

1.44 1.69 1.96 2.25 2.56 2.89 3.24 3.61

68218992.74 73903908.8 79588824.86 85273740.92 90958656.99 96643573.05 102328489.1 108013405.2

0.030977849 0.030485887 0.030037369 0.029625743 0.0292458 0.028893338 0.028564919 0.028257698

0.990685162 0.990833091 0.990967958 0.991091731 0.991205977 0.99131196 0.991410714 0.991503093

0.393514776 0.393573536 0.393627107 0.393676271 0.393721652 0.39376375 0.393802976 0.39383967

1.326784974 1.32698309 1.327163711 1.327329476 1.327482481 1.32762442 1.327756677 1.327880397

xcg sin grano

Page 16: Sustentacion Juan

0 0 0 0 0 0 0 0

0.190666667 0.190666667 0.190666667 0.190666667 0.190666667 0.190666667 0.190666667 0.190666667

0.130762103 0.130762103 0.130762103 0.130762103 0.130762103 0.130762103 0.130762103 0.130762103

1.371662635 0.407922404 0.426052289 0.444182174 0.449167892 0.45415361 0.459139328 0.464125047

1.066389774 1.077160042 1.088571643 1.100586075 1.113165366 1.126272376 1.13987104 1.153926559

0.990066752 0.990125772 0.990167975 0.990195683 0.990210799 0.990214901 0.990209321 0.990195194

0.990049834 0.98511194 0.980198673 0.975309912 0.970445534 0.965605416 0.960789439 0.955997482

0.215475435 0.269833566 0.31827831 0.363183771 0.405726829 0.446583146 0.486178149 0.524797407

0.204412681 0.255980003 0.30193754 0.344537503 0.384896352 0.42365506 0.46121721 0.497853711

5.991355043 4.784393032 4.056166539 3.554646257 3.18191882 2.890816284 2.655384314 2.459977534

1 1 0.99994 0.999968 0.99863 0.9963 0.992 0.9857

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0.795587319 0.744019997 0.698080577 0.655473522 0.615630956 0.577912464 0.542472528 0.509265597

0.309766729 0.288261035 0.269124928 0.251445696 0.234987445 0.21949094 0.205002126 0.191490524

1.312763272 1.306293705 1.299833939 1.293387182 1.286956032 1.280542617 1.274148705 1.267775773

1.019525083 1.020275396 1.021085106 1.021954069 1.022882132 1.023869131 1.024914894 1.026019239

1.039431395 1.040961884 1.042614794 1.044390119 1.046287855 1.048307997 1.050450541 1.052715479

0.591145295 0.593670648 0.5964052 0.599350608 0.602508657 0.605881255 0.609470435 0.613278356

0.566518706 0.564108233 0.561521049 0.558760721 0.555831026 0.552735939 0.549479622 0.546066412

0.999989377 0.99998828 0.999987005 0.999985526 0.999983816 0.999981843 0.999979573 0.999976968

0.287996091 0.33799552 0.391994832 0.449994004 0.511993009 0.577991814 0.647990382 0.721988669

0.999986427 0.999986745 0.999986816 0.999986675 0.999986345 0.999985838 0.999985158 0.999984306

4.281461093 3.921824501 3.622726169 3.278366472 2.986165131 2.743326374 2.539654743 2.366500167

1.326236197 1.130494205 0.974953065 0.824320154 0.701701733 0.602126756 0.520626896 0.453155244

5.620468583 5.122986753 4.708880342 4.240140675 3.843010752 3.512896584 3.235849775 3.000144493

8.318367415 6.661403363 6.109885696 5.508643003 4.993880377 4.569176951 4.215615999 3.917424784

-6.717844401 -5.941676983 -5.409602282 -4.830193068 -4.342502931 -3.939363765 -3.603020564 -3.318665697

0.80759169 0.891955743 0.885385186 0.876839008 0.869564868 0.862160474 0.854684242 0.847154925

2.324248885 2.567048627 2.548138564 2.523542666 2.50260769 2.481297844 2.459781248 2.438111873

1.622530001 1.59455474 1.568958867 1.544832878 1.521943477 1.500033557 1.479150831 1.459266297

Page 17: Sustentacion Juan

2 2.1 2.2 2.3 2.4 2.5 2.6 2.7

4 4.41 4.84 5.29 5.76 6.25 6.76 7.29

113698321.2 119383237.3 125068153.4 130753069.4 136437985.5 142122901.5 147807817.6 153492733.7

0.027969294 0.027697696 0.027441192 0.027198311 0.026967783 0.026748504 0.026539506 0.026339938

0.991589815 0.991671482 0.991748611 0.991821644 0.991890962 0.991956898 0.992019743 0.992079751

0.393874117 0.393906557 0.393937194 0.393966204 0.393993738 0.394019928 0.394044891 0.394068728

1.327996539 1.328105913 1.328209209 1.328307019 1.328399854 1.328488159 1.328572324 1.328652692

Page 18: Sustentacion Juan

0 0 0 0 0 0 0 0

0.190666667 0.190666667 0.190666667 0.190666667 0.190666667 0.190666667 0.190666667 0.190666667

0.130762103 0.130762103 0.130762103 0.130762103 0.130762103 0.130762103 0.130762103 0.130762103

0.469110765 0.474096483 0.479082202 0.48406792 0.489506885 0.491978895 0.494450905 0.496922914

1.168405545 1.18327613 1.198508024 1.214072558 1.229942684 1.246092968 1.262499555 1.279140124

0.990173493 0.990145064 0.990110645 0.990070883 0.990026348 0.989977547 0.989924928 0.989868892

0.951229425 0.946485148 0.941764534 0.937067463 0.93239382 0.927743486 0.923116346 0.918512284

0.562641878 0.599858223 0.63655662 0.672821829 0.70872035 0.744305244 0.779619456 0.814698187

0.533755204 0.569060819 0.603875079 0.638278391 0.672333841 0.706091766 0.739592906 0.772870655

2.294514292 2.152158264 2.028083269 1.918769244 1.821578611 1.734489771 1.655923055 1.584623426

0.9786 0.9684 0.9545 0.9451 0.9312 0.9164 0.9031 0.8859

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0.477667157 0.448921503 0.423601237 0.396763093 0.373922727 0.352937506 0.332073646 0.315313887

0.178709376 0.167112303 0.156894842 0.14621563 0.13710503 0.128758663 0.120536478 0.113875718

1.26142507 1.25509765 1.248794412 1.242516124 1.236263438 1.230036914 1.223837027 1.217664182

1.027181974 1.028402897 1.029681799 1.03101846 1.032412653 1.033864143 1.035372683 1.036938022

1.055102807 1.057612518 1.060244607 1.062999065 1.065875887 1.068875065 1.071996592 1.07524046

0.617307304 0.621559688 0.626038048 0.630745048 0.635683481 0.640856268 0.646266456 0.651917225

0.54250081 0.538787468 0.534931174 0.530936847 0.526809514 0.522554305 0.518176438 0.513681204

0.999973983 0.999970573 0.999966685 0.999962262 0.999957242 0.999951557 0.999945133 0.999937891

0.799986621 0.881984177 0.967981268 1.057977811 1.151973711 1.249968859 1.35196313 1.457956383

0.999983276 0.999982061 0.999980649 0.999979027 0.999977179 0.999975087 0.99997273 0.999970084

2.217348314 2.087365342 1.972931672 1.871295122 1.780328537 1.698361874 1.624064876 1.556363934

0.396254307 0.348818171 0.309536813 0.273606857 0.244086427 0.218673355 0.195753723 0.177226759

2.796971974 2.619800336 2.46373837 2.325065597 2.200904851 2.088995753 1.987536527 1.895071923

3.662337046 3.44271499 3.252357385 3.082740374 2.934498163 2.799648003 2.677741154 2.569221596

-3.074794911 -2.864206242 -2.681067526 -2.51747304 -2.373540775 -2.24458189 -2.12780488 -2.023560661

0.839571801 0.831961475 0.824345916 0.816634791 0.808840436 0.801737178 0.794626798 0.787616243

2.416287645 2.394385125 2.372467545 2.350274928 2.327842776 2.307399599 2.286935926 2.266759548

1.440134446 1.422209953 1.405689254 1.388731754 1.373368468 1.358795576 1.344373505 1.3315399

Page 19: Sustentacion Juan

2.8 2.9 3 3.1 3.2 3.3 3.4 3.5

7.84 8.41 9 9.61 10.24 10.89 11.56 12.25

159177649.7 164862565.8 170547481.8 176232397.9 181917314 187602230 193287146.1 198972062.2

0 0

0.026149049 0.02596617 0.025790707 0.025622126 0.025459948 0.02530374 0.025153112 0.025007708

0.99213715 0.992192141 0.992244901 0.992295593 0.992344359 0.992391329 0.992436622 0.992480344

0.394091527 0.39411337 0.394134328 0.394154463 0.394173833 0.394192491 0.394210482 0.394227849

1.328729564 1.328803211 1.328873871 1.32894176 1.32900707 1.329069976 1.329130635 1.32918919

Page 20: Sustentacion Juan

0 0 0 0 0 0 0 0

0.190666667 0.190666667 0.190666667 0.190666667 0.190666667 0.190666667 0.190666667 0.190666667

0.130762103 0.130762103 0.130762103 0.130762103 0.130762103 0.130762103 0.130762103 0.130762103

0.499394924 0.501864215 0.504338944 0.506810954 0.509282963 0.511754973 0.514226983 0.516701712

1.295993836 1.31304127 1.330264354 1.347646297 1.365171518 1.382825572 1.400595083 1.418467671

0.989809795 0.989747959 0.989683669 0.989617184 0.989548737 0.989478536 0.98940677 0.989333611

0.913931185 0.909372934 0.904837418 0.900324523 0.895834135 0.891366144 0.886920437 0.882496903

0.849570606 0.884261122 0.91879034 0.953175789 0.987432489 1.021573392 1.055609734 1.089551313

0.805952684 0.83886215 0.871618599 0.90423866 0.936736582 0.969124652 1.001413529 1.033612509

1.519579212 1.459964483 1.405097306 1.354408962 1.307420857 1.263726954 1.222980227 1.184882086

0.8715 0.8557 0.8385 0.823 0.8064 0.7923 0.7775 0.7625

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0.297612236 0.282185658 0.269147805 0.255811583 0.24461562 0.232162538 0.221400981 0.211870462

0.106940303 0.100885084 0.095737743 0.090534039 0.086133951 0.081335481 0.077172837 0.073477057

1.211518723 1.205400938 1.199311068 1.193249314 1.187215838 1.181210771 1.175234213 1.169286242

1.038559898 1.040238044 1.041972184 1.043762033 1.045607303 1.047507696 1.049462908 1.051472628

1.078606662 1.082095188 1.085706031 1.089439182 1.093294633 1.097272373 1.101372395 1.105594688

0.657811881 0.663953861 0.670346732 0.676994192 0.683900068 0.691068323 0.698503047 0.706208465

0.509073956 0.504360098 0.49954507 0.494634337 0.489633376 0.484547668 0.479382683 0.474143869

0.999929744 0.999920601 0.999910361 0.999898917 0.999886157 0.999871958 0.999856192 0.999838722

1.567948454 1.681939159 1.79992829 1.921915612 2.04790086 2.177883739 2.311863917 2.449841025

0.999967126 0.999963828 0.999960161 0.999956093 0.999951592 0.99994662 0.99994114 0.999935112

1.49438222 1.437395902 1.384801628 1.336092034 1.290837049 1.248669458 1.209273613 1.172376529

0.159804434 0.145006562 0.1325725 0.120956498 0.111179513 0.10155571 0.093317583 0.086137187

1.810412521 1.732575695 1.660741755 1.594220903 1.532428004 1.474863081 1.421096074 1.370754794

2.46961188 2.379446471 2.297653199 2.221988354 2.15289048 2.088173764 2.028640639 1.973593694

-1.927724712 -1.840749983 -1.761622703 -1.68827893 -1.621094617 -1.558059225 -1.499888191 -1.445930056

0.780578004 0.773604284 0.766705221 0.759805481 0.752985176 0.746134853 0.739356277 0.732638162

2.246503496 2.226433128 2.206577626 2.186720174 2.167091337 2.147376107 2.127867366 2.10853263

1.318459026 1.306286022 1.295048811 1.283783354 1.273349789 1.262546252 1.252407051 1.242763299

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3.6 3.7 3.8 3.9 4 4.1 4.2 4.3

12.96 13.69 14.44 15.21 16 16.81 17.64 18.49

204656978.2 210341894.3 216026810.3 221711726.4 227396642.5 233081558.5 238766474.6 244451390.7

0 0 0 0 0 0 0 0

0.024867207 0.024731312 0.024599755 0.024472288 0.024348685 0.024228734 0.024112245 0.023999037

0.992522592 0.992563455 0.992603013 0.992641341 0.992678508 0.992714577 0.992749604 0.992783645

0.39424463 0.394260862 0.394276575 0.394291799 0.394306563 0.394320889 0.394334803 0.394348325

1.329245771 1.329300496 1.329353475 1.329404807 1.329454583 1.329502888 1.329549799 1.329595389

Page 22: Sustentacion Juan

0 0 0 0 0 0 0 0

0.190666667 0.190666667 0.190666667 0.190666667 0.190666667 0.190666667 0.190666667 0.190666667

0.130762103 0.130762103 0.130762103 0.130762103 0.130762103 0.130762103 0.130762103 0.130762103

0.518514701 0.520327689 0.522140678 0.523953666 0.525766654 0.525766654 0.525766654 0.525766654

1.436431888 1.454477157 1.472593707 1.490772516 1.50900526 1.52728426 1.545602435 1.563953256

0.989259213 0.989183715 0.989107244 0.989029914 0.98895183 0.988873087 0.988793771 0.988713958

0.878095431 0.873715912 0.869358235 0.865022293 0.860707976 0.856415177 0.852143789 0.847893704

1.123406719 1.157183515 1.19088839 1.224527283 1.258105487 1.291627735 1.325098273 1.358520924

1.06572974 1.097772397 1.129746825 1.16165866 1.19351292 1.225314098 1.25706622 1.288772914

1.149174035 1.115631026 1.084056107 1.054276086 1.026137987 0.999506124 0.974259689 0.950290724

0.7499 0.733 0.7199 0.7063 0.697 0.6827 0.668 0.6579

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0.200809268 0.195332833 0.18669526 0.179520489 0.168121495 0.163478066 0.160279765 0.1521163

0.069288468 0.067057574 0.063767712 0.061006504 0.056843341 0.054993301 0.053644189 0.050653938

1.16336691 1.157476251 1.151614279 1.145780993 1.139976379 1.134200407 1.12845304 1.122734226

1.053536541 1.055654323 1.057825647 1.060050178 1.062327578 1.064657502 1.067039602 1.069473523

1.109939243 1.11440605 1.118995099 1.12370638 1.128539883 1.133495598 1.138573512 1.143773617

0.714188935 0.722448946 0.730993124 0.739826226 0.748953144 0.758378906 0.768108672 0.77814774

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0.999819402 0.99979808 0.999774595 0.999748775 0.999720444 0.999689415 0.999655491 0.99961847

2.591814653 2.737784345 2.887749599 3.04170986 3.199664517 3.361612899 3.527554272 3.697487833

0.999928492 0.999921236 0.999913296 0.999904622 0.999895161 0.99988486 0.99987366 0.999861502

1.137740779 1.105158791 1.074448211 1.045448123 1.018015935 0.992024799 0.967361461 0.94392446

0.078826679 0.07410343 0.068509163 0.063773052 0.05786136 0.054548437 0.051886765 0.047806869

1.323515327 1.2790943 1.237242619 1.19774034 1.160392453 1.12502538 1.091484065 1.059629521

1.920856706 1.873525419 1.82789246 1.785467058 1.744020467 1.705340471 1.669137485 1.633203045

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1.232655378 1.224533825 1.21538199 1.206787497 1.196819719 1.189193708 1.182097229 1.173388164

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4.4 4.5 4.6 4.7 4.8 4.9 5 5.1

19.36 20.25 21.16 22.09 23.04 24.01 25 26.01

250136306.7 255821222.8 261506138.8 267191054.9 272875971 278560887 284245803.1 289930719.1

0 0 0 0 0 0 0 0

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0.992816749 0.992848962 0.992880328 0.992910885 0.992940673 0.992969724 0.992998073 0.99302575

0.394361474 0.394374269 0.394386728 0.394398866 0.394410698 0.394422238 0.394433499 0.394444492

1.329639723 1.329682865 1.329724872 1.329765796 1.329805689 1.329844597 1.329882563 1.329919629

Page 24: Sustentacion Juan

0 0 0 0 0 0 0 0

0.190666667 0.190666667 0.190666667 0.190666667 0.190666667 0.190666667 0.190666667 0.190666667

0.130762103 0.130762103 0.130762103 0.130762103 0.130762103 0.130762103 0.130762103 0.130762103

0.525766654 0.525766654 0.525766654 0.525766654 0.525766654 0.525766654 0.525766654 0.525766654

1.582330706 1.600729243 1.619143759 1.637569553 1.656002295 1.674438001 1.692873006 1.711303936

0.988633721 0.988553125 0.988472227 0.988391082 0.988309738 0.988228239 0.988146627 0.988064938

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0.92750243 0.905807741 0.885128105 0.865392455 0.846536327 0.828501092 0.811233308 0.794684146

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0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0.144884706 0.138465587 0.133142254 0.128657417 0.125162766 0.122674954 0.121210791 0.120787225

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1.117043907 1.111382016 1.105748479 1.100143216 1.094566139 1.089017157 1.083496174 1.07800309

1.071958908 1.074495395 1.077082616 1.079720203 1.082407781 1.085144975 1.087931404 1.090766685

1.149095901 1.154540353 1.160106962 1.165795716 1.171606605 1.177539616 1.183594739 1.189771961

0.788501542 0.799175647 0.810175758 0.821507716 0.833177496 0.845191212 0.857555111 0.87027558

0.424548497 0.418859678 0.41315295 0.407432832 0.401703724 0.395969905 0.390235524 0.384504603

0.999578138 0.999534274 0.999486648 0.999435022 0.99937915 0.999318775 0.999253634 0.999183457

3.871412709 4.049327945 4.23123251 4.417125282 4.607005049 4.800870505 4.998720239 5.200552735

0.999848324 0.999834061 0.999818646 0.99980201 0.999784082 0.999764786 0.999744048 0.999721787

0.921622609 0.900373702 0.880103424 0.86074441 0.842235439 0.824520744 0.807549402 0.79127482

0.044232403 0.041088137 0.038422684 0.036127072 0.034215067 0.032662585 0.03144757 0.030549775

1.02933677 1.000493091 0.972996534 0.946754638 0.921683342 0.897706034 0.874752736 0.852759386

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1.165045239 1.157024127 1.149413408 1.142123421 1.135199024 1.128640501 1.122448121 1.116622133

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5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9

27.04 28.09 29.16 30.25 31.36 32.49 33.64 34.81

295615635.2 301300551.3 306985467.3 312670383.4 318355299.5 324040215.5 329725131.6 335410047.6

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0.39445523 0.394465723 0.394475981 0.394486013 0.394495829 0.394505437 0.394514844 0.394524059

1.329955833 1.329991211 1.330025797 1.330059623 1.330092718 1.330125112 1.330156831 1.330187901

Page 26: Sustentacion Juan

0 0 0 0 0 0 0 0

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Page 27: Sustentacion Juan

6

36

341094963.7

0

0.022452115

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1.330218345

Page 28: Sustentacion Juan

0

0.190666667

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