MAE161R-HW#4-Sol

MAE161R-HW#4-Sol - if ‘7 lwvovbfhif Vdofiiq Fok Miami I 7 V6037 mac 4(63:0 244/7607 7,L agikmgfiflj,i7,7 m1 = Vca-VA l wrrrwwwm”

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Unformatted text preview: if ‘7 lwvovbfhif, Vdofiiq Fok ., Miami, I 7 _,,, V6037 mac 4 (63:0 244/7607? 7 ,, ,L agikmgfiflj; ,,,,,,,,,,i7,7 ' m1 = Vca-VA l wrrrwwwm” ’Wigir :qukfi " '7 7 2 QSEDJLSJ ' Mgkirrr Mm EM; ~ “*P**'*‘” “ — z 505 m. "H O C) "T221276 ’ . M’me‘ 1%er ' 131 qé kt] , , ,,, a: “TOP: 1 5.2? hrs _ ’ TWTWW" Awflhtd) Mam J'WTML:,,5,Q£3,,,,, T: 0.15M Wt 0.8 pg: (106 Vfl/W w: :- ‘1 Nov“ $= PK/YB? F , "1*? 3 ? Sm?) , ,f , _ ,______J ' Mme? : b4 Ya, we": TEMP/0F M?L"”Z§O :ZOOkfl r 7 WV Why} ankLM vL’r ,M5+v,, 1511:8717, W W , ’* Wm soy W m w WWW MW cw 7 MM 7fyofme'wvx ¥yo7m7 fork 7 7 77 7 7 * “3.1% WWW W 90:29; 9%) 7 \9 3;» is? [i 2505, 7],it,,,j3§,;im,{zo%§bV:3m,,,(at% Z,Q‘/,-,,,,(>dm VtongOIAJL «5 he Yvoydkmk dedfb COKWF/kmayxierka 2:24;,”,y~-oy¢.xm 'Mcwcves ,,a\no,mmfi, 01s ,359,,,,,1s \owcver’l. i) .Etfiww‘ls 1A Mam ,,q¥:,,3;eg§z.., Wkgfljflyfl ,QML‘QGJNM‘J ' , affgfifww Maw . Mo? 803-1467714237, "Wrap BLUE k0; ,, ,,,,,)QIQWA 6FV€44,$hiCérJY<-,,,, W,iM,J3 f— 63: , 7 ,, S‘mcam mama» ‘Hb 5mm. ,ggjdlktcflfl , Mth 9m ’1 % WWW?£T18PK i I 2 4 m" ram 13H???) JW‘WK 35" ‘9“) V‘Cv‘auw,,, ff f 7 W 7, MP: ducemsgs TDEWWW h A “macaw, Amusing] Tar , '&Y¥(;Yc.t§€b, M‘sz '[mv‘ 3'qu AV reek, M1 ‘ 'M Qvt \M‘Wol' +0 {voychwtwwé Qvoim Wfom k wwwglw Myroy’ = l~103<MfX9P,, 1“ MW: ,evi/mc-J. i 4 WMJJ' Q, ,, ' ~\ 1 “Camacho 90K, Aw 5‘ 13 immulxgfllcrrta 7 War Ax; mmch 5W avijrcd4Baum 7 MKka opemlrc a’c, M'chey 1%" H l, , , , , , , , , ,, ,,,,,,7,,_, W, M ? QM mffikfiléw T: 0ng """**”' R - earth 6378 mu ~ear|h 398600 [1 - I30 345 Mpl 250 h - :20 35860 Mslru: 200 TR 0.12 an I: r - leo 6723 a_u'ansfer 24480.5 r - gen 42238 Vp_trf 10.114132 Vc_leo 7.699936 Va_trf 1.609861 VCJEO 3.07197 deltaV1 2.4141965 deltaVI 1.462109 low thrust transfer 4627965548 hohmanu transfer 3.876305543 Pgrt d| Given EP system Thrust 0.15 S 0.06 Mthruster 50 en 0.8 L52 MM-SE Mf an Mama Mama 100 5518125 505.518125 -2646.93 175 9.6567188 509.6567188 -3993.39 250 13.795313 513.7953125 -23984.1 325 17.933906 517.9339063 4894.1 400 22.0725 522.0725 2139.935 475 26.211094 526.2110938 1355.155 550 30.349688 5303496875 988.6018 625 34.488281 534.4882813 777.8468 700 38.626875 538.626875 641.5687 775 42.765469 5427654688 546.4811 850 46904063 546.9040625 476.489 925 51.042656 5510426563 422.8834 1000 55.18125 555.18125 380.5504 1075 59.319844 5593198438 346.2949 1150 63458438 563.4584375 318.02 1225 67.597031 567.5970313 294.2941 1300 71.735625 571.735625 274.1068 1375 75.874219 575.8742188 256.7253 1450 80.012813 580.0128125 241.6054 1525 84.151406 584.1514063 228.3345 1600 88.29 588.29 216.5944 1675 92.428594 592.4285938 206.1357 1750 96.567188 596.5671875 196.7602 1825 100.70578 600.7057813 188.3084 1900 104.84438 604.844375 180.6508 1975 108.98297 608.9829688 173.6807 2050 113.12156 613.1215625 167.3097 2125 11716016 617.2601563 161.4641 2200 121.39875 621.39875 156.0815 2275 125.53734 625.5373438 151.1093 2350 129.67594 629.6759375 146.5022 2425 133.81453 633.8145313 142.2216 2500 137.95313 637.953125 138.2341 2575 142.09172 642.0917188 134.5105 2650 146.23031 6461303125 131.0256 2725 150.36891 650.3689063 127.7572 2800 154.5075 654.5075 124.6858 2875 158.64609 658.6460938 121.794 2950 16278469 6627846875 119.0667 3025 16632328 6663232813 116.4901 3100 17206188 671.061875 114.0522 3175 17510047 6751004688 111.742 3250 17933906 6793390675 109.5498 3325 183.47766 683.4776563 107.4668 3400 187.61625 687.61625 105.485 3475 191.75484 691.7548438 103.5973 3550 195.89344 6953934375 101.7971 3625 200.03203 700.0320313 100.0784 3700 204.17063 704.170625 98.43593 3775 208.30922 7083092188 96.86463 3850 21244781 7124478125 95.36001 3925 216.58641 7165864063 93.91792 4000 220.725 720.725 92.53453 4075 224.86359 724.8635938 91.20635 4150 229.00219 729.0021875 89.93014 4225 233.14078 733.1407813 88.70289 4300 23717938 737.279375 87.52186 4375 241.41797 741.4179688 86.38449 4450 24555656 745.5565625 85.28839 4525 249.69516 749.6951563 84.23136 4600 253.83375 753.83375 83.21135 4675 25737234 7573723438 82.22646 4750 262.11094 7621109375 81.27489 4825 26624953 766.2495313 80.35499 4900 27038813 770.388125 79.46521 4975 27452672 774.5267188 78.60408 5050 278.66531 778.6653125 77.77026 5125 28280391 7828039063 76.96245 5200 286.9425 786.9425 76.17947 5275 291.08109 791.0810938 75.42018 5350 295.21969 7952196875 74.68352 5425 29935828 7993582813 73.96851 5500 303.49688 803.496875 73.2742 5575 307.63547 8026354688 72.59971 5650 311.77406 811.7740625 71.94419 5725 31531266 8153126563 71.30686 5800 320.05125 820.05125 70.68698 5875 324.18984 8241898438 70.08383 5950 32832844 8283284375 69.49675 m 43.867854 -289.02118 ~428317255 1496.75399 950.059512 797.242027 728.07004 690.057645 66634062 1 652.06 1686 642201871 635.619333 63119133 628578822 627062446 626.45585 1 626.556985 627.219282 628333891 529313303 631608883 633.655732 635.9 19222 638367467 640.97453 643.7 19 1 646583506 649552975 652 .615059 655.759199 65837638 662 .258356 665 .59994 668393823 67243544 1 675320354 679.444657 683004899 686.598022 690.221302 693.87231 697.54887 702249026 704371019 708.713259 712.474307 716.252856 720 .047718 723.857811 727.682 145 731.5198 15 73536999 739.23 1907 743. 104864 746388215 750.88136 754.783748 758.694866 762.61424 766.541428 770.47602 774417635 778. 365916 78232053 786.281167 790147536 794.219364 798.196396 802. 178393 806.165 129 810.156392 814.1519M 818.151715 82215541 826.1629 830.174029 834.188645 838.20661 842227788 flrt cl Given Liquid Propulsion System lsp 450 Mthruster Mq = Mp! + Msrmc + Mthmster Mq 650 From Racket Eq Mprop/Mf 1406236375 Solve for Mfuelox Mprop 1099555749 Mnnkage 1313590499 Mtatal = Mq + Mrankage + Mprop Mtolal 1881617799 TOF (hrs) 5294307358 500 1256022375 m MQLMO -2670.79775 0391063399 0.002066 4282410676 0.9325097 0.002255 -28267.12926 0848480353 0.000488 6390854436 0.765797514 0.0028062 3039394574 0.692536835 0.0071432 2152396594 0.629502652 0.0121776 1716671804 0.575882799 0.0176794 1467304466 0529902891 0.0234949 1308509349 049030504 0.0295193 1198.542773 0455954597 0.0356812 1113590914 0425934439 0.0419276 1058.502715 039951091 0.0482216 1011341733 0376096765 0.0545355 9743737159 0355220259 0.0608487 9450824882 0335499772 0.0571459 9207499517 0319624345 0.0734152 9006637363 030433865 0.0796475 8833445988 0.730431456 0.0858359 8693392825 0.277726729 0.0919752 8581528192 0166076747 0.0980611 8481032958 0155356722 0.1040905 3397914234 0245450582 0.1100614 8326793925 0136297635 0.1159716 8266758928 0227789909 0.1218201 3210253025 0.219870021 0.1276061 3173997542 0212479455 0.1333288 313393224 0.205567159 0.1389882 811.0170572 0199038403 0.1445841 8086966037 0133003834 0.1501165 8068684776 0.187278698 0.1555359 805.4785925 0151332193 0.1609924 8044804811 0.176786919 0.1663366 3033340134 0.17196843 0.1716189 5035043443 0157404346 0.17684 8014610811 0163076524 0.1820005 8036775914 0.158965783 0.187101 8041304407 0155056664 0.1921423 3047989266 0151334729 0.1971251 8056646928 0.14778688 0.2020502 8067114051 0144401211 0.2069182 8073244857 0.141166876 0.21173 3092903743 0133073971 0.2164864 8107935446 0135113437 02211331 3124373344 013227697 0.2253359 3141933051 0.129556946 0.2304307 816.0716215 0.126946351 0.2349731 8180499468 0124438723 0.2394639 3201251527 0122028098 0.243904 8222937413 0.119708962 0.243294 824.5467769 (1117476212 0.2526348 8263798262 0115325115 0.2569271 329137907 011325123 0.2611715 8317664416 (1111250623 0.265369 8343112173 0109319342 0.25952 8363183502 0.107453894 0.2736255 839584254 0.105650974 0.277686 8423056122 0103907493 0.2817022 3450793527 0.102220562 0.2856749 8473026265 0.100587478 0.2896047 850.772787 0099005704 0.2934922 8536873729 0097472363 0.2973381 856644092 0.09598672 0301143 3595403072 0.094545176 0.3049075 8626755234 0093145254 0.3086323 865.7463757 0.091788093 0.3123179 8688516195 0.090468939 0.315955 8713896204 (1089187136 0.3195741 875.1588462 0037941121 0.3231458 8783578585 0036729417 0.3266806 8815853059 [1085550628 03301792 8843399175 0034403431 0.3336419 333120497 0033236574 0.3370694 8924259174 0032193869 0.3404523 894.7551158 0081139191 03438209 8981070391 008010547 0.3471458 9014808898 0079099693 0.3504374 9043755224 0073117393 0.3536964 9052904394 0.077160153 0.3569231 9117245330 0.076225601 0.360118 Mass Rafi; 1 0166666664 1438283719 847.6365569 0388997303 0330254728 0347992319 0. 768603697 069968005 1 0641780284 0.593562 176 0.5533978 0.519824795 0.491635817 0.467862 122 0.447732473 0.430632221 0.416069005 0.403645697 0393039534 0383986157 0376267359 0369701898 0364137844 0359447334 0.355521951 0.352269266 0349610059 034747609 0. 345808305 0. 344555369 0343672482 0.343 120391 034286458 0.3428746 0.343 123498 034358735 0.344244859 0.3450770 1 7 0346066814 0347198999 034845986 0349837049 0.35 1319422 0 352896905 0.354560372 0356301545 0.3581 12903 0359987603 0.36 1919409 0. 363902632 0. 365932076 0.36800299 0.37011 1022 0 .372252 187 0.37442 2828 0.3766 19588 0378839383 0.381079377 038333696 038560973 0387895473 0. 39019215 039249788 0394810926 0.397129688 0399452685 0.401778554 0.404106034 0.406433958 0.408761252 0.41 1086922 0413410049 0 .415729786 0.418045349 0.420356017 0.42266112 0.424960045 0.427252224 0.429537 134 0431814293 0.434083258 0436343623 1 0.4 0.3 0.2 0.1 0 347.63656 «203.3579 628.9854 4538.659 12033827 64732478 487.24398 411.57414 367.99177 339.94232 32058326 30657437 296.09179 288.05551 281.78545 276.83203 27288625 269.72871 267.19935 265.1787 26357572 262.3199 261.35572 260.63891 260.13371 259.81094 259.64655 259.62053 259.71611 259.91913 260.21752 260.60098 261.06063 261.58879 262.17875 262.8247 263.52148 264.26459 265.05002 265.87422 266.73402 267.6266 268.5494 269.50016 270.47681 271.47749 272.50051 273.54434 274.60758 275.68896 276.78732 277.90159 279.03078 280174-01 281.33043 282.49928 28367986 284.87151 28607363 28718564 28850703 28973731 290.97602 292.22274 293.47708 29473867 296.00715 297.28221 298.56353 299.85084 301.14386 30244234 303.74605 305.05475 30636824 307.68631 309.00878 31033546 311.6662 31300082 MgwrlMD lMfiMgwruMo TOFIHEEI Pgwer—Qt 91.96875 160.9453 229.9219 298.8984 367.875 436.8516 505.8281 574.8047 643.7813 712.7578 781.7344 850.7109 919.6875 988.6641 1057.641 1126.617 1195.594 1264.57 1333.547 1402.523 1471.5 1540.477 1609.453 1678.43 1747.406 1816.383 1885.359 1954.336 2023.313 2092.289 2161.266 2230.242 2299.219 2368.195 2437.172 2506.148 2575.125 2644.102 2713.078 2782.055 2851.031 2920.008 2988.984 3057.961 3126.938 3195.914 3264.891 3333.867 3402.844 3471.82 3540.797 3609.773 3678.75 3747.727 3816.703 3885.68 3954.656 4023.633 4092.609 4161.586 4230.563 4299.539 4368.516 4437.492 4506.469 4575.445 4644.422 4713.398 4782.375 4851.352 4920.328 4989.305 5058.281 5127.258 5196.234 5265.211 5334.188 5403.164 5472.141 Optimizationgf, EP System, Power Mpwr-sys Mf mdgg 0.004052 0.001323 0.000648 0.000384 0.000253 0.00018 0.000134 0.000104 8.27E-05 6.75E-05 5.61E-05 4.74E-05 4.05E—05 3.515-05 3.06605 276-05 246-05 2145—05 1.93805 1.74E-05 1.58E-05 1.44E-05 1.32605 1.22E-05 1.12E-05 1.04E-05 9.64E-06 8.97E-06 8.375106 7.835-06 7.34E-06 6.89606 6.48E-06 6.11E—06 5.77E-06 SAGE-06 5.17E-06 4.96-06 4.666-06 4.436-06 4126-06 4.02E-06 3.84806 3.676-06 3.516-06 3.36E-06 3.22E-06 3.086-06 2365-06 2846—06 2.73E-06 2.63E—06 2.53E-06 2445-06 2355-06 2.27E-06 2.19E-06 2126-06 2056-06 1.98E-06 1.91E-06 1.855-06 1.8E—06 1.74E-06 1.69E-06 1.64E-06 1.59E-06 1.54E—06 1.5E-06 1.46E—06 1.42E-06 1386-06 1.34E-06 1.3E—06 1.27E—06 1.24E-06 1.2806 1.17606 1.14606 2437.172 146.2303 646.2303 Thrust 3.975 2.271429 1.59 1.223077 0.99375 0.836842 0.722727 0.636 0.567857 0.512903 0.467647 0.42973 0.3975 0.369767 0.345652 0.32449 0.305769 0.289091 0.274138 0.260656 0.248438 0.237313 0.227143 0.217808 0.209211 0.201266 0.193902 0.187059 0.180682 0.174725 0.169149 0.163918 0.159 0.154369 0.15 0.145872 0.141964 0.138261 0.134746 0.131405 0.128226 0.125197 0.122308 0.119549 0.116912 0.114388 0.111972 0.109655 0.107432 0.105298 0.103247 0.101274 0.099375 0.097546 0.095783 0.094083 0.092442 0.090857 0.089326 0.087845 0.086413 0.085027 0.083684 0.082383 0.081122 0.079899 0.078713 0.077561 0.076442 0.075355 0.074299 0.073272 0.072273 0.0713 0.070354 0.069432 0.068534 0.06766 0.066807 ., i 3Mproleo ,JMPM-SVSIMU (MWD‘B’W‘WE- 4000 DgltaV 213.6351 373.8614 534.0878 694.3141 354.5404 1014.767 1174.993 1335.219 1495.446 1655.672 1815.898 1976.125 2136.351 2296.577 2456.804 2617.03 2777.256 2937.483 3097.709 3257.935 3418.162 3578.388 3738.614 3898.841 4059.067 4219.293 4379.52 4539.746 4699.972 4860.199 5020.425 5180.651 5340.878 5501104 5661.33 5821.557 5981.783 6142.009 6302.236 6462.462 6622.688 6782.915 6943.141 7103.367 7263.594 7423.82 7584.046 7744.272 7904.499 8064.725 8224.951 8385.178 8545.404 8705.63 8865.857 9026.083 9186.309 9346.536 9506.762 9666.988 9827.215 9987.441 10147.67 10307.89 10468.12 10628.35 10788.57 10948.8 11109.03 11269.25 11429.48 11589.7 11749.93 11910.16 12070.38 12230.61 12390.84 12551.06 12711.29 5000 M0 Pwr-beam Mprop 803.4610811 1949.7375 1572307686 Mama-reg DeltaMgggg M 71666.5317 8928.92811 3618.7632 2113.05002 1455.58345 1098.46445 877.476604 728.443772 621646286 541593918 479.477991 429.942965 389.55581 356019403 327.741189 303.583673 282.713509 264.506667 248.486879 234.284524 221.608456 210.226351 199350532 190627843 182132051 174.3582 167.218326 160.638154 154554548 148313498 143.668534 138.779459 134.211323 129333601 125319509 122145456 118.590576 115.236351 112066289 109065552 106221234 103.521163 100.95474 98.5122957 96.1850697 933651079 91.845171 89.8186556 87.8795269 86.022258 84.2417782 82.5334265 80.8929116 79.3162753 77.7998615 76.3402875 74.9344191 73.5793483 72.272373 71.0109792 69.7928252 68.6157269 67.4776444 66.3766711 65.3110223 64.2790258 63.2791135 62.3098129 61.3697404 60.4575944 59.5721494 58.7122507 518768089 570647958 561752402 55.5072234 547598765 540323765 533239436 -71509.301 -8771.69734 -3461.53244 -1955.81925 -1298.35268 -941.23368 -720.245836 571113004 464415518 38436315 -322.247222 -272.712196 -232.325041 498788635 -170.51042 446352905 -125.48274 407275898 191.2561108 -77.0537549 64.377697 629955823 427197634 833970744 44.901282 421274316 -9.9875571 340738562 2676220566 8317270759 13.56223442 18.45130984 23.01944541 27.297168 3131125946 3508531289 38.64019273 4139441749 45.16447999 48.16511657 51.00953452 53.7096051 56.27602816 58.71847289 61.04569892 6326566064 6538559761 67.41211292 6935124165 7110851054 72.98899038 7469734204 7633785701 7731449329 79.43090708 8089048107 8229634942 83.65142026 8435839562 8611978937 87.43794333 88.6150417 8975312414 9085409746 9131974631 92.95174277 9335165511 9432095568 95.86102817 96.77317416 97.65861912 98.51851789 99.35395969 100.1659727 1003555284 101.7235451 102470892 103198392 103306825 204.7079 78.10765 64.60384 63.75212 66.52352 70.79317 75.81918 81.27822 87.00767 92.91703 98.95202 105.0782 111.2725 117.5192 123.8069 130.1274 136.4745 142.8434 149.2305 155.6329 162.0483 168.4748 174.9109 181.3553 187.807 194.2651 200.7288 207.1976 213.6709 220.1481 226.629 233.1132 239.6003 246.0901 252.5823 259.0768 265.5733 272.0717 278.5718 285.0735 291.5767 298.0813 304.5871 311.0942 317.6023 324.1114 330.6216 337.1326 343.6444 350.1571 356.6704 363.1845 369.6993 376.2146 382.7306 389.2471 395.7641 402.2816 408.7996 415.318 421.8369 428.3562 434.8758 441.3958 447.9162 454.4369 460.9579 467.4792 474.0008 480.5227 487.0449 493.5673 500.0899 506.6128 513.1359 519.6592 526.1827 532.7064 539.2303 deltaTOF -405.066 —607.093 -4603.26 1140.231 581.4013 416.4508 335.755 286.7135 252.9346 227.6662 207.6224 191.0136 176.783 164.2663 153.0251 142.7589 133.2542 124.356 115.9482 107.9428 100.2716 92.88094 85.72804 78.77843 72.00397 65.38148 58.89171 52.51852 46.24828 40.06939 33.97197 27.94747 21.98851 16.08869 10.2424 4.444722 -1.30868 -7.02165 -12.6976 48.3395 -23.9501 -29.5319 -35.087 —40.6174 -46.1248 51.6109 -57.0772 62.525 67.9555 -73.3697 -78.7689 -84.1537 -89.5253 34.8842 400.231 -105.567 410.893 416.208 -121.514 -126.811 -132.1 -137.38 442.653 -147.919 -153.178 -158.43 463.676 -168.916 -174.15 -179.379 -184.603 -189.821 -195.035 ~200.245 —205.45 -210.65 415.847 -221.04 -226.23 2%. . y l I I. “_ll¥¥¥§li‘iil - o_>_>m>m-.§a_>_+a2a_>: o_>_\m m-._>> S.- .J .o .2 53m .9. .m. 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This note was uploaded on 10/17/2010 for the course MAE 161r taught by Professor Richard during the Spring '10 term at UCLA.

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MAE161R-HW#4-Sol - if ‘7 lwvovbfhif Vdofiiq Fok Miami I 7 V6037 mac 4(63:0 244/7607 7,L agikmgfiflj,i7,7 m1 = Vca-VA l wrrrwwwm”

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