metodo de diferencia central 2

Propiedades del Sistema Solucion Numerica Mediante en Metodo de Diferencia Centralc 4775.06701 0.05m 250000 16.4478982662008 0K 1713172.499000000000 0.1910 0.1

0.2Valores Iniciales Calculos Iniciales 0.3

0.1 U_1 0 0.40 k' 25023875.3350 0.50 24976124.6650 0.60 -48286827.501 0.7

g 10 Ɣ -0.4 0.80.9

P(t) 11.11.21.3

1713172.499000000000 1.41.5

36482.024 1.61.71.81.92

2.12.22.32.42.52.62.72.82.93

3.13.23.33.43.53.63.73.83.94

4.1

𝑡_𝑖x𝑇_𝑛𝑤_𝑛𝑑_𝑡𝑣_0𝑉_0𝑎_0 𝑎𝑏

4.24.34.44.54.64.74.84.95

5.15.25.35.45.55.65.75.85.96

6.16.26.36.46.56.66.76.86.97

7.17.27.37.47.57.67.77.87.98

8.18.28.38.48.58.6

8.78.88.99

9.19.29.39.49.59.69.79.89.910

Solucion Numerica Mediante en Metodo de Diferencia Central

0.00000 0.00000000000 0.00000000000 0.00000000000-309016.99437 0.00000000000 0.00000000000 -309016.99437494700-587785.25229 0.00000000000 -0.01234888642 -1184073.80082798000-809016.99437 -0.01234888642 -0.04731776294 -2785414.32419591000-951056.51630 -0.04731776294 -0.11131027017 -5144061.98505110000

-1000000.00000 -0.11131027017 -0.20556616096 -8146038.57027548000-951056.51630 -0.20556616096 -0.32553065667 -11535653.11815000000-809016.99437 -0.32553065667 -0.46098587704 -14938068.25589830000-587785.25229 -0.46098587704 -0.59695263247 -17899093.30910350000-309016.99437 -0.59695263247 -0.71528062978 -19938086.01152350000

0.00000 -0.71528062978 -0.79676252158 -20608196.25881530000309016.99437 -0.79676252158 -0.82354135732 -19557142.39923230000587785.25229 -0.82354135732 -0.78153931545 -16581397.25088520000809016.99437 -0.78153931545 -0.66262307612 -11667125.80706540000951056.51630 -0.66262307612 -0.46623976706 -5012426.13468606000

1000000.00000 -0.46623976706 -0.20030575071 2972733.31372918000951056.51630 -0.20030575071 0.11879588089 11690194.12557450000809016.99437 0.11879588089 0.46716161942 20399708.79538040000587785.25229 0.46716161942 0.81520981552 28283794.14604180000309016.99437 0.81520981552 1.13027234061 34525500.55408010000

0.00000 1.13027234061 1.37970238789 38391628.32248300000-309016.99437 1.37970238789 1.53419995139 39313012.56964990000-587785.25229 1.53419995139 1.57102015748 36953424.84583870000-809016.99437 1.57102015748 1.47672670004 31259435.13237210000-951056.51630 1.47672670004 1.24918441744 22485185.80894370000

-1000000.00000 1.24918441744 0.89854930573 11188309.58747750000-951056.51630 0.89854930573 0.44710539186 -1804035.06238485000-809016.99437 0.44710539186 -0.07209255314 -15457097.67742740000-587785.25229 -0.07209255314 -0.61769400105 -28613676.33464260000-309016.99437 -0.61769400105 -1.14345503850 -40095230.81859810000

0.00000 -1.14345503850 -1.60227903479 -48809895.77115640000309016.99437 -1.60227903479 -1.95053304565 -53857314.79477330000587785.25229 -1.95053304565 -2.15223717644 -54620163.51668680000809016.99437 -2.15223717644 -2.18272201189 -50833160.24916560000951056.51630 -2.18272201189 -2.03138640872 -42622211.51153910000

1000000.00000 -2.03138640872 -1.70326182260 -30508949.62969910000951056.51630 -1.70326182260 -1.21919363892 -15379056.79853190000809016.99437 -1.21919363892 -0.61457534425 1583855.67664017000587785.25229 -0.61457534425 0.06329378066 18993751.53479380000309016.99437 0.06329378066 0.75902518217 35379101.67857030000

0.00000 0.75902518217 1.41381385596 49311078.20767950000-309016.99437 1.41381385596 1.97056121594 59531541.40017660000

𝑝_𝑖 𝑈_(𝑖−1) 𝑈_𝑖 ′〖𝑃 〗 _𝑖

-587785.25229 1.97056121594 2.37898968897 65069096.89656740000-809016.99437 2.37898968897 2.60028057307 65332339.44312360000-951056.51630 2.60028057307 2.61080022852 60171272.00090730000

-1000000.00000 2.61080022852 2.40455449827 49900636.29173240000-951056.51630 2.40455449827 1.99412103935 35282269.21464660000-809016.99437 1.99412103935 1.40994425293 17467302.25693360000-587785.25229 1.40994425293 0.69802546660 -2097293.38697647000-309016.99437 0.69802546660 -0.08381169419 -21789988.88737350000

0.00000 -0.08381169419 -0.87076796042 -39953330.97593730000309016.99437 -0.87076796042 -1.59660845656 -55037731.00061620000587785.25229 -1.59660845656 -2.19940877517 -65737595.02619360000809016.99437 -2.19940877517 -2.62699498563 -71107528.96494100000951056.51630 -2.62699498563 -2.84158740455 -70648030.06062710000

1000000.00000 -2.84158740455 -2.82322498473 -64352736.57183490000951056.51630 -2.82322498473 -2.57165349932 -52712713.22175700000809016.99437 -2.57165349932 -2.10649679620 -36677092.04108230000587785.25229 -2.10649679620 -1.46568393384 -17573315.44399160000309016.99437 -1.46568393384 -0.70226194819 3006120.09284508000

0.00000 -0.70226194819 0.12013007788 23340482.31365380000-309016.99437 0.12013007788 0.93272852431 41729100.56290240000-587785.25229 0.93272852431 1.66757146942 56638006.73531700000-809016.99437 1.66757146942 2.26335873149 66831922.73821150000-951056.51630 2.26335873149 2.67072633009 71479915.24794570000

-1000000.00000 2.67072633009 2.85646864408 70225414.91242960000-951056.51630 2.85646864408 2.80633650752 63214513.37610130000-809016.99437 2.80633650752 2.52616801074 51080211.51499810000-587785.25229 2.52616801074 2.04125903087 34884250.29529090000-309016.99437 2.04125903087 1.39403868618 16021948.54663490000

0.00000 1.39403868618 0.64026647880 -3901246.99754861000309016.99437587785.25229809016.99437951056.51630

1000000.00000951056.51630809016.99437587785.25229309016.99437

0.00000-309016.99437-587785.25229-809016.99437-951056.51630

-1000000.00000-951056.51630

-809016.99437-587785.25229-309016.99438

0.00000309016.99437587785.25229809016.99437951056.51630

1000000.00000951056.51630809016.99437587785.25229309016.99438

0.00000


0.00000000000 0.00000000000000 0-0.01234888642 -0.0161705539372688 -0.00207495-0.04731776294 -0.052256836988752 -0.01617055-0.11131027017 -0.11650480668981 -0.05225684-0.20556616096 -0.210028759905199 -0.11650481-0.32553065667 -0.328282505704601 -0.21002876-0.46098587704 -0.461201620241452 -0.32828251-0.59695263247 -0.59409766973831 -0.46120162-0.71528062978 -0.709222246629697 -0.59409767-0.79676252158 -0.787838307587513 -0.70922225-0.82354135732 -0.812572550068741 -0.78783831-0.78153931545 -0.769782612495559 -0.81257255-0.66262307612 -0.651661482742606 -0.76978261-0.46623976706 -0.457820433340487 -0.65166148-0.20030575071 -0.196139666071429 -0.457820430.11879588089 0.117251839275501 -0.196139670.46716161942 0.458916153120081 0.117251840.81520981552 0.799916931817827 0.458916151.13027234061 1.10835573801197 0.799916931.37970238789 1.3524052992952 1.108355741.53419995139 1.50354806449059 1.35240531.57102015748 1.53969386547287 1.503548061.47672670004 1.4478485504057 1.539693871.24918441744 1.22603724593809 1.447848550.89854930573 0.884249140262212 1.226037250.44710539186 0.444259818433272 0.88424914-0.07209255314 -0.0617060597536641 0.44425982-0.61769400105 -0.593394822715987 -0.06170606-1.14345503850 -1.10583940773951 -0.59339482-1.60227903479 -1.55328804824091 -1.10583941-1.95053304565 -1.89339304922171 -1.55328805-2.15223717644 -2.09126862886251 -1.89339305-2.18272201189 -2.12302579208671 -2.09126863-2.03138640872 -1.97842926558833 -2.12302579-1.70326182260 -1.66239399716262 -1.97842927-1.21919363892 -1.19514042421183 -1.662394-0.61457534425 -0.610949494273321 -1.195140420.06329378066 0.044411008400171 -0.610949490.75902518217 0.717390262812169 0.044411011.41381385596 1.35117855358082 0.717390261.97056121594 1.89065749216502 1.351178552.37898968897 2.28733287877064 1.89065749

𝑈_(𝑖+1) 𝑈_(𝑖+1) 𝑇𝑒𝑜𝑟𝑖𝑐𝑎

0 10 20 30 40 50 60 70 80

-4.00000000000

-3.00000000000

-2.00000000000

-1.00000000000

0.00000000000

1.00000000000

2.00000000000

3.00000000000

4.00000000000

METODO DIFERENCIALTEORICO

2.60028057307 2.50379823067462 2.287332882.61080022852 2.51731064741711 2.503798232.40455449827 2.32213405956492 2.517310651.99412103935 1.93041175667176 2.322134061.40994425293 1.37146089270107 1.930411760.69802546660 0.689524512281309 1.37146089-0.08381169419 -0.0598416693885214 0.68952451-0.87076796042 -0.814443212380152 -0.05984167-1.59660845656 -1.51077625597087 -0.81444321-2.19940877517 -2.08954208821246 -1.51077626-2.62699498563 -2.50085467441518 -2.08954209-2.84158740455 -2.70867159937574 -2.50085467-2.82322498473 -2.69404489575618 -2.7086716-2.57165349932 -2.45689173275697 -2.6940449-2.10649679620 -2.01611661850643 -2.45689173-1.46568393384 -1.40806463943443 -2.01611662-0.70226194819 -0.683435764660113 -1.408064640.12013007788 0.0970704768566612 -0.683435760.93272852431 0.86799545068481 0.097070481.66757146942 1.56478207662775 0.867995452.26335873149 2.12935255619864 1.564782082.67072633009 2.51510759228641 2.129352562.85646864408 2.69090417163971 2.515107592.80633650752 2.64366184171952 2.690904172.52616801074 2.37937189572865 2.643661842.04125903087 1.92242847255701 2.37937191.39403868618 1.31335193423802 1.922428470.64026647880 0.605119068719015 1.31335193-0.15590099236 -0.141561535471505 0.60511907

-0.863598449182457 -0.14156154-1.50100797896597 -0.86359845-2.00205585488363 -1.50100798-2.32759653617792 -2.00205585-2.45423464523139 -2.32759654

-2.376044451056 -2.45423465-2.10471751262992 -2.37604445-1.66815290934187 -2.10471751-1.10764546289994 -1.66815291

-0.473951980100634 -1.107645460.177387518194881 -0.473951980.791035980693306 0.177387521.31669608685681 0.791035981.71336406850136 1.316696091.95263007901668 1.713364072.02075072729272 1.95263008

1.91933906057826 2.020750731.66464881921084 1.919339061.28556059108179 1.66464882

0.820495234463758 1.285560590.313573733037701 0.82049523-0.189595915094276 0.31357373-0.646100263372452 -0.18959592-1.01948102866195 -0.64610026-1.28273716011274 -1.01948103-1.42031352529802 -1.28273716-1.42892638239265 -1.42031353-1.3171924108968 -1.42892638

-1.10414468380291 -1.31719241-1.10414468

0 10 20 30 40 50 60 70 80

-4.00000000000

-3.00000000000

-2.00000000000

-1.00000000000

0.00000000000

1.00000000000

2.00000000000

3.00000000000

4.00000000000


Propiedades del Sistema Solucion Numerica Mediante en Metodo de Diferencia Centralc 4775.07 0.05m 250000 16.45 0 0.00000K 1713172.5 0.1910 0.1 -309016.99437

0.2 -587785.25229Valores Iniciales Calculos Iniciales 0.3 -809016.99437

0.5 U_1 0 0.4 -951056.516300 k' 1004775.07 0.5 -1000000.000000 995224.93 0.6 -951056.516300 -286827.50 0.7 -809016.99437

g 10 Ɣ -0.4 0.8 -587785.252290.9 -309016.994371 0.00000

1.1 309016.994371.2 587785.252291.3 809016.99437

1713172.5 1.4 951056.516301.5 1000000.00000

36482.024 1.6 951056.516301.7 809016.994371.8 587785.252291.9 309016.994372 0.00000

2.1 -309016.994372.2 -587785.252292.3 -809016.994372.4 -951056.516302.5 -1000000.000002.6 -951056.516302.7 -809016.994372.8 -587785.252292.9 -309016.994373 0.00000

3.1 309016.994373.2 587785.252293.3 809016.994373.4 951056.516303.5 1000000.000003.6 951056.516303.7 809016.994373.8 587785.252293.9 309016.994374 0.00000

4.1 -309016.99437

𝑡_𝑖 𝑝_𝑖x𝑇_𝑛𝑤_𝑛𝑑_𝑡𝑣_0𝑉_0𝑎_0 𝑎𝑏

4.2 -587785.252294.3 -809016.994374.4 -951056.516304.5 -1000000.000004.6 -951056.516304.7 -809016.994374.8 -587785.252294.9 -309016.994375 0.00000

5.1 309016.994375.2 587785.252295.3 809016.994375.4 951056.516305.5 1000000.000005.6 951056.516305.7 809016.994375.8 587785.252295.9 309016.994376 0.00000

6.1 -309016.994376.2 -587785.252296.3 -809016.994376.4 -951056.516306.5 -1000000.000006.6 -951056.516306.7 -809016.994376.8 -587785.252296.9 -309016.994377 0.00000

7.1 309016.994377.2 587785.252297.3 809016.994377.4 951056.516307.5 1000000.000007.6 951056.516307.7 809016.994377.8 587785.252297.9 309016.994378 0.00000

8.1 -309016.994378.2 -587785.252298.3 -809016.994378.4 -951056.516308.5 -1000000.000008.6 -951056.51630

8.7 -809016.994378.8 -587785.252298.9 -309016.994389 0.00000

9.1 309016.994379.2 587785.252299.3 809016.994379.4 951056.516309.5 1000000.000009.6 951056.516309.7 809016.994379.8 587785.252299.9 309016.9943810 0.00000


0.00000000000 0.00000000000 0.00000000000 0.000000000000.00000000000 0.00000000000 -309016.99437494700 -0.307548430010.00000000000 -0.30754843001 -675998.59990981600 -0.67278600167-0.30754843001 -0.67278600167 -695910.65628920400 -0.69260342851-0.67278600167 -0.69260342851 -480140.82344684900 -0.47785901463-0.69260342851 -0.47785901463 -447766.90626842500 -0.44563895042-0.47785901463 -0.44563895042 -603300.81697456900 -0.60043370580-0.44563895042 -0.60043370580 -537726.89915431100 -0.53517141976-0.60043370580 -0.53517141976 -143720.53861215200 -0.14303752485-0.53517141976 -0.14303752485 182571.85019955700 0.18170420047-0.14303752485 0.18170420047 194472.27282207000 0.193548067830.18170420047 0.19354806783 183695.35225945300 0.182822363220.19354806783 0.18282236322 447599.87102685500 0.445472708990.18282236322 0.44547270899 754841.44406873400 0.751254155140.44547270899 0.75125415514 723191.32127280400 0.719754445570.75125415514 0.71975444557 458778.50274648800 0.456598215670.71975444557 0.45659821567 365703.87159631500 0.363965909990.45659821567 0.36396590999 458994.49818940500 0.456813184620.36396590999 0.45681318462 356583.88808217400 0.354889268050.45681318462 0.35488926805 -43822.87479653040 -0.043614612100.35488926805 -0.04361461210 -365704.51820853100 -0.36396655353-0.04361461210 -0.36396655353 -370006.26196472800 -0.36824785379-0.36396655353 -0.36824785379 -331180.27509706800 -0.32960638253-0.36824785379 -0.32960638253 -537067.72378006800 -0.53451537704-0.32960638253 -0.53451537704 -776337.73616499400 -0.77264828881-0.53451537704 -0.77264828881 -689653.74753508000 -0.68637625493-0.77264828881 -0.68637625493 -378969.26077965400 -0.37716825708-0.68637625493 -0.37716825708 -234100.46069255000 -0.23298792773-0.37716825708 -0.23298792773 -279245.34398628700 -0.27791826565-0.23298792773 -0.27791826565 -156856.20123300400 -0.15611076188-0.27791826565 -0.15611076188 231814.32759407600 0.23071265919-0.15611076188 0.23071265919 530557.05239475500 0.528035646800.23071265919 0.52803564680 509629.40652258800 0.507207456930.52803564680 0.50720745693 428983.80053057700 0.426945109030.50720745693 0.42694510903 568730.60764512400 0.566027787030.42694510903 0.56602778703 737445.91812859500 0.733941299250.56602778703 0.73394129925 598246.09861481500 0.595403009350.73394129925 0.59540300935 249358.27127156500 0.248173227480.59540300935 0.24817322748 66408.23886237470 0.066092642070.24817322748 0.06609264207 80985.99804315300 0.080601122280.06609264207 0.08060112228 -42658.42679097860 -0.042455697990.08060112228 -0.04245569799 -401410.70265585500 -0.39950304883

𝑈_(𝑖−1) 𝑈_𝑖 ′〖𝑃 〗 _𝑖 𝑈_(𝑖+1)

-0.04245569799 -0.39950304883 -660120.74424422300 -0.65698360352-0.39950304883 -0.65698360352 -599862.56456835800 -0.59701179325-0.65698360352 -0.59701179325 -468449.45423499500 -0.46622320718-0.59701179325 -0.46622320718 -539564.61548855300 -0.53700040258-0.46622320718 -0.53700040258 -641086.03967790200 -0.63803935899-0.53700040258 -0.63803935899 -457588.03957382500 -0.45541341003-0.63803935899 -0.45541341003 -83417.66431807600 -0.08302123237-0.45541341003 -0.08302123237 120409.01349090000 0.11983678481-0.08302123237 0.11983678481 116997.28593893300 0.116441271070.11983678481 0.11644127107 223150.99703222100 0.222090500010.11644127107 0.22209050001 535601.65921151500 0.533056279760.22209050001 0.53305627976 740882.19199609300 0.737361242650.53305627976 0.73736124265 632041.09855674700 0.629037402810.73736124265 0.62903740281 446584.93297061000 0.444462594300.62903740281 0.44446259430 452506.90444591800 0.450356422350.44446259430 0.45035642235 495851.34592644600 0.493494874830.45035642235 0.49349487483 281127.21373808000 0.279791192050.49349487483 0.27979119205 -101869.60094495200 -0.101385478490.27979119205 -0.10138547849 -307535.31379169300 -0.30607379093-0.10138547849 -0.30607379093 -295906.01891090500 -0.29449976281-0.30607379093 -0.29449976281 -367643.61523400600 -0.36589643524-0.29449976281 -0.36589643524 -620872.64780994300 -0.61792202872-0.36589643524 -0.61792202872 -764144.29236266800 -0.76051279282-0.61792202872 -0.76051279282 -603164.57421647700 -0.60029811051-0.76051279282 -0.60029811051 -366357.22991672200 -0.36461616331-0.60029811051 -0.36461616331 -316167.29050688900 -0.31466474526-0.36461616331 -0.31466474526 -315164.65813552800 -0.31366687778-0.31466474526 -0.31366687778 -85823.08105369400 -0.08541521767-0.31366687778 -0.08541521767 287669.66398669900 0.28630255013


0.00000000000000-0.0161705539372688-0.052256836988752-0.11650480668981

-0.210028759905199-0.328282505704601-0.461201620241452-0.59409766973831

-0.709222246629697-0.787838307587513-0.812572550068741-0.769782612495559-0.651661482742606-0.457820433340487-0.1961396660714290.1172518392755010.4589161531200810.7999169318178271.108355738011971.3524052992952

1.503548064490591.539693865472871.4478485504057

1.226037245938090.8842491402622120.444259818433272

-0.0617060597536641-0.593394822715987-1.10583940773951-1.55328804824091-1.89339304922171-2.09126862886251-2.12302579208671-1.97842926558833-1.66239399716262-1.19514042421183

-0.6109494942733210.0444110084001710.7173902628121691.351178553580821.890657492165022.28733287877064

𝑈_(𝑖+1) 𝑇𝑒𝑜𝑟𝑖𝑐𝑎

0 10 20 30 40 50 60 70 80

-3.00000000000

-2.00000000000

-1.00000000000

0.00000000000

1.00000000000

2.00000000000

3.00000000000


2.503798230674622.517310647417112.322134059564921.930411756671761.37146089270107

0.689524512281309-0.0598416693885214-0.814443212380152-1.51077625597087-2.08954208821246-2.50085467441518-2.70867159937574-2.69404489575618-2.45689173275697-2.01611661850643-1.40806463943443

-0.6834357646601130.0970704768566612

0.867995450684811.564782076627752.129352556198642.515107592286412.690904171639712.643661841719522.379371895728651.922428472557011.31335193423802

0.605119068719015-0.141561535471505-0.863598449182457-1.50100797896597-2.00205585488363-2.32759653617792-2.45423464523139

-2.376044451056-2.10471751262992-1.66815290934187-1.10764546289994

-0.4739519801006340.1773875181948810.7910359806933061.316696086856811.713364068501361.952630079016682.02075072729272

1.919339060578261.664648819210841.28556059108179

0.8204952344637580.313573733037701-0.189595915094276-0.646100263372452-1.01948102866195-1.28273716011274-1.42031352529802-1.42892638239265-1.3171924108968

-1.10414468380291

0 10 20 30 40 50 60 70 80

-3.00000000000

-2.00000000000

-1.00000000000

0.00000000000

1.00000000000

2.00000000000

3.00000000000




0.1 Ɣ1 0.5 0.40 β 0.2500 0.50 100095501.3401 0.60 10004775.0670067 0.7

g 10 Ɣ -0.4 0.8K Circunf. 101808673.839133 250000 0.9

11.11.21.3

1713172.499000000000 1.41.5

36482.024 1.61.71.81.92

2.12.22.32.42.52.62.72.82.93

3.13.23.33.43.53.63.73.83.94

4.1

𝑡_𝑖x𝑇_𝑛𝑤_𝑛𝑑_𝑡𝑣_0𝑉_0𝑎_0 𝑎_1𝑎_2

𝑎_3

4.24.34.44.54.64.74.84.95

5.15.25.35.45.55.65.75.85.96

6.16.26.36.46.56.66.76.86.97

7.17.27.37.47.57.67.77.87.98

8.18.28.38.48.58.6

8.78.88.99

9.19.29.39.49.59.69.79.89.910

Solucion Numerica Mediante en Metodo de Diferencia CentralP Cinrcunflejo Aceleracion i+1 Velocidad i+1

0.00000 0.00000000000 0.00000000000-309016.99437 -309016.99437494700 -1.21410871087 -0.06070543554-587785.25229 -1802473.70820494000 -2.22537318029 -0.23267953010-809016.99437 -5465409.46213541000 -2.85889426461 -0.48689290235-951056.51630 -11910475.03228500000 -2.98765473789 -0.77922035247

-1000000.00000 -21252891.06842990000 -2.54930753322 -1.05606846603-951056.51630 -33049371.60697110000 -1.55559825998 -1.26131375569-809016.99437 -46310314.48729410000 -0.09327816030 -1.34375757670-587785.25229 -59586130.65729530000 1.68371834281 -1.26423556757-309016.99437 -71119932.52280680000 3.57010823035 -1.00154423892

0.00000 -79050868.68411950000 5.33150232513 -0.55646371114309016.99437 -81646051.94161830000 6.73073117160 0.04664796369587785.25229 -77534992.96665040000 7.55544742497 0.76095689352809016.99437 -65919201.33653850000 7.64400569192 1.52092954937951056.51630 -46731338.39395690000 6.90674233587 2.24846695076

1000000.00000 -20722881.07403890000 5.34020425365 2.86081428023951056.51630 10533741.53118020000 3.03256685826 3.27945283583809016.99437 44733833.01075680000 0.15936968531 3.43904966301587785.25229 79015626.12657200000 -3.03030553943 3.29550287030309016.99437 110208206.29601500000 -6.23608573146 2.83218330676

0.00000 135130027.23361700000 -9.13494924190 2.06363155809-309016.99437 150909559.15712200000 -11.41350542878 1.03620882456-587785.25229 155296022.36351000000 -12.80070417065 -0.17450165542-809016.99437 146927755.46774600000 -13.09763409516 -1.46941856871-951056.51630 125528680.06692300000 -12.20127052089 -2.73436379951

-1000000.00000 92009349.78694770000 -10.11955871128 -3.85040526112-951056.51630 48457689.41757740000 -6.97601818809 -4.70518410609-809016.99437 -1985056.35419182000 -3.00305441946 -5.20413773646-587785.25229 -55356429.39929440000 1.47573110652 -5.28050390211-309016.99437 -107195264.12915900000 6.07284072071 -4.90307531075

0.00000 -152927404.90823200000 10.37141132655 -4.08086270839309016.99437 -188280282.12021900000 13.96382299290 -2.86410099242587785.25229 -209687964.83831100000 16.49075172073 -1.34137225673809016.99437 -214647890.08801300000 17.67689816853 0.36701023773951056.51630 -201993794.10757800000 17.35985493038 2.11884789268

1000000.00000 -172056208.95060400000 15.50915490736 3.76229838456951056.51630 -126691660.68123400000 12.23342179524 5.14942721969809016.99437 -69173539.38857310000 7.77464028367 6.14983032364587785.25229 -3950416.04869829000 2.48977543982 6.66305110981309016.99437 63709847.54244490000 -3.17881743780 6.62859900991

0.00000 128160715.93716000000 -8.74165633691 6.03257532118-309016.99437 183864235.88886600000 -13.70566238839 4.91020938491

𝑡_𝑖 𝑝_𝑖

-587785.25229 225881623.44353500000 -17.61898891968 3.34397681951-809016.99437 250322600.86346600000 -20.11299108644 1.45737781920-951056.51630 254711762.14383700000 -20.93737773263 -0.59514062175

-1000000.00000 238237039.90362000000 -19.98516492559 -2.64126775466-951056.51630 201855498.91689400000 -17.30495542745 -4.50577377231-809016.99437 148244292.25859400000 -13.09921792496 -6.02598243993-587785.25229 81598541.69898670000 -7.70852774595 -7.06636972348-309016.99437 7291864.07128043000 -1.58303651110 -7.53094793633

0.00000 -68572038.11526490000 4.75636152540 -7.37228168562309016.99437 -139678063.49245100000 10.76371798054 -6.59627771032587785.25229809016.99437951056.51630

1000000.00000951056.51630809016.99437587785.25229309016.99437

0.00000-309016.99437-587785.25229-809016.99437-951056.51630

-1000000.00000-951056.51630-809016.99437-587785.25229-309016.99437

0.00000309016.99437587785.25229809016.99437951056.51630

1000000.00000951056.51630809016.99437587785.25229309016.99437

0.00000-309016.99437-587785.25229-809016.99437-951056.51630

-1000000.00000-951056.51630

-809016.99437-587785.25229-309016.99438

0.00000309016.99437587785.25229809016.99437951056.51630

1000000.00000951056.51630809016.99437587785.25229309016.99438

0.00000

Solucion Numerica Mediante en Metodo de Diferencia CentralDesplazamiento i+1

0.00000000000 0.00000000000000-0.00303527178 -0.0161705539372688-0.01770452006 -0.052256836988752-0.05368314168 -0.11650480668981-0.11698880442 -0.210028759905199-0.20875324535 -0.328282505704601-0.32462235643 -0.461201620241452-0.45487592305 -0.59409766973831-0.58527558027 -0.709222246629697-0.69856457059 -0.787838307587513-0.77646496809 -0.812572550068741-0.80195575547 -0.769782612495559-0.76157551260 -0.651661482742606-0.64748119046 -0.457820433340487-0.45901136545 -0.196139666071429-0.20354730390 0.1172518392755010.10346605190 0.4589161531200810.43939117684 0.7999169318178270.77611880351 1.108355738011971.08250311236 1.35240529929521.32729385560 1.503548064490591.48228587473 1.539693865472871.52537123319 1.44784855040571.44317522198 1.226037245938091.23298610357 0.8842491402622120.90374765054 0.4442598184332720.47596818218 -0.0617060597536641-0.01949790995 -0.593394822715987-0.54372999187 -1.10583940773951-1.05290895252 -1.55328804824091-1.50210585347 -1.89339304922171-1.84935403851 -2.09126862886251-2.05962770097 -2.12302579208671-2.10834580192 -1.97842926558833-1.98405289540 -1.66239399716262-1.68999558154 -1.19514042421183-1.24440930133 -0.610949494273321-0.67944642416 0.044411008400171-0.03880235249 0.7173902628121690.62578015350 1.351178553580821.25883887005 1.890657492165021.80597810536 2.28733287877064


2.21868741558 2.503798230674622.45875514751 2.517310647417112.50186700739 2.322134059564922.34004658857 1.930411756671761.98269451222 1.371460892701071.45610670160 0.6895245122813090.80148909343 -0.05984166938852140.07162321044 -0.814443212380152-0.67353827065 -1.51077625597087-1.37196624045 -2.08954208821246

-2.50085467441518-2.70867159937574-2.69404489575618-2.45689173275697-2.01611661850643-1.40806463943443

-0.6834357646601130.0970704768566612

0.867995450684811.564782076627752.129352556198642.515107592286412.690904171639712.643661841719522.379371895728651.922428472557011.31335193423802

0.605119068719015-0.141561535471505-0.863598449182457-1.50100797896597-2.00205585488363-2.32759653617792-2.45423464523139

-2.376044451056-2.10471751262992-1.66815290934187-1.10764546289994

-0.4739519801006340.1773875181948810.7910359806933061.316696086856811.713364068501361.952630079016682.02075072729272

1.919339060578261.664648819210841.28556059108179

0.8204952344637580.313573733037701-0.189595915094276-0.646100263372452-1.01948102866195-1.28273716011274-1.42031352529802-1.42892638239265-1.3171924108968

-1.10414468380291


1Valores Iniciales Calculos Iniciales 1.5

0.5 Ɣ1 0.5 20 β 0.2500 2.50 4019100.2680 30 2004775.06700665 3.5

g 10 Ɣ -0.4 4K Circunf. 5732272.767027 250000 4.5

51.11.21.3

1713172.499000000000 1.41.5

36482.024 1.61.71.81.92

2.12.22.32.42.52.62.72.82.93

3.13.23.33.43.53.63.73.83.94

4.1

𝑡_𝑖x𝑇_𝑛𝑤_𝑛

𝑑_𝑡𝑣_0𝑉_0𝑎_0 𝑎_1𝑎_2𝑎_3

4.24.34.44.54.64.74.84.95

5.15.25.35.45.55.65.75.85.96

6.16.26.36.46.56.66.76.86.97

7.17.27.37.47.57.67.77.87.98

8.18.28.38.48.58.6

8.78.88.99

9.19.29.39.49.59.69.79.89.910

Solucion Numerica Mediante en Metodo de Diferencia CentralP Cinrcunflejo Aceleracion i+1 Velocidad i+1

0.00000 0.00000000000 0.00000000000-1000000.00000 -1000000.00000000000 -2.79121400015 -0.69780350004

0.00000 -2797878.11708974000 3.35537942947 -0.556762142711000000.00000 -1239029.84085047000 5.44979684495 1.64453192590

0.00000 3790637.93369694000 -4.56717314370 1.86518785121-1000000.00000 4255239.85820557000 -9.05752626979 -1.54098700216

0.00000 -2370213.91339813000 2.89236296245 -3.082277829001000000.00000 -6118024.25650341000 11.30491896996 0.46704265410

0.00000 -527019.14338262000 0.56443154387 3.43438028256-1000000.00000 5656755.98562203000 -10.77923409049 0.88067964590

0.00000 3036908.84082557000 -3.57875710555 -2.70881815311309016.99437 -3886958.60016499000 5.92330659392 -2.12268078101587785.25229 -4912170.49323629000 8.19655386511 1.40728433375809016.99437 2235346.60287902000 0.49542124989 3.58027811250951056.51630 9819845.11052419000 -7.96768773124 1.71221149216

1000000.00000 9325719.56214789000 -7.10921435453 -2.05701402928951056.51630 1588496.08297194000 1.96908009140 -3.34204759506809016.99437 -4285015.58578185000 8.37307266922 -0.75650940491587785.25229 -1839954.56926208000 4.50369111055 2.46268154004309016.99437 5082004.74690848000 -4.88447367909 2.36748589790

0.00000 7088332.51639449000 -8.45532334505 -0.96746335813-309016.99437 607487.72850296600 -1.89439449464 -3.55489281806-587785.25229 -7762213.11566271000 6.97191086579 -2.28551372527-809016.99437 -9090343.83774952000 7.60510187083 1.35873945889-951056.51630 -2699377.36255513000 -0.63646244189 3.10089931612

-1000000.00000 3164860.56907168000 -7.80238907213 0.99118643762-951056.51630 1304448.35525721000 -5.31991104606 -2.28938859193-809016.99437 -5814108.79757143000 3.76560339565 -2.67796550453-587785.25229 -9091581.29617389000 8.50999351738 0.39093372373-309016.99437 -3772215.36265367000 3.21002535834 3.32093844266

0.00000 4815406.60339035000 -5.80764224001 2.67153422224309016.99437 7589184.43208750000 -7.82242402916 -0.73598234505587785.25229 2477747.25529291000 -0.55683221918 -2.83079640714809016.99437 -3268064.41153825000 7.16541350959 -1.17865108453951056.51630 -1911876.57970371000 6.04920562973 2.12500370030

1000000.00000 5431971.18957456000 -2.55098452352 2.99955897685951056.51630 10135299.58801490000 -8.31749121824 0.28244004141809016.99437 6402091.88004018000 -4.36221073300 -2.88748544640587785.25229 -1802791.99431576000 4.56050756449 -2.83791123853309016.99437 -5504231.37968324000 7.81127291057 0.25503388024

0.00000 -1395108.55055899000 1.61789721649 2.61232641201-309016.99437 4354423.95464670000 -6.46833288970 1.39971749370

𝑝_𝑖

-587785.25229 3654291.72893524000 -6.68362593030 -1.88827221130-809016.99437 -3703330.65356060000 1.25310501883 -3.24590243916-951056.51630 -9741621.34768078000 7.85995297208 -0.96763794144

-1000000.00000 -7805105.30023739000 5.28638126255 2.31894561722-951056.51630 -452933.70939929800 -3.31646192447 2.81142545174-809016.99437 3680575.24359791000 -7.63743363010 0.07295156310-587785.25229 229689.99402514600 -2.57833809618 -2.48099136848-309016.99437 -5766387.33315466000 5.68993406238 -1.70309237693

0.00000 -6034852.82187488000 7.18546032235 1.51575621926309016.99437 912882.44721213200 0.08110587601 3.33239776884587785.25229809016.99437951056.51630

1000000.00000951056.51630809016.99437587785.25229309016.99437

0.00000-309016.99437-587785.25229-809016.99437-951056.51630

-1000000.00000-951056.51630-809016.99437-587785.25229-309016.99437

0.00000309016.99437587785.25229809016.99437951056.51630

1000000.00000951056.51630809016.99437587785.25229309016.99437

0.00000-309016.99437-587785.25229-809016.99437-951056.51630

-1000000.00000-951056.51630

-809016.99437-587785.25229-309016.99438

0.00000309016.99437587785.25229809016.99437951056.51630

1000000.00000951056.51630809016.99437587785.25229309016.99438

0.00000

Solucion Numerica Mediante en Metodo de Diferencia CentralDesplazamiento i+1

0.00000000000 0.00000000000000-0.17445087501 -0.0161705539372688-0.48809228570 -0.052256836988752-0.21614983990 -0.116504806689810.66128010438 -0.2100287599051990.74233031664 -0.328282505704601-0.41348589115 -0.461201620241452-1.06729468488 -0.59409766973831-0.09193895071 -0.7092222466296970.98682603141 -0.7878383075875130.52979140461 -0.812572550068741-0.67808332892 -0.769782612495559-0.85693244074 -0.6516614827426060.38995817082 -0.4578204333404871.71308057199 -0.1961396660714291.62687993771 0.1172518392755010.27711453162 0.458916153120081-0.74752471837 0.799916931817827-0.32098168459 1.108355738011970.88656017490 1.35240529929521.23656580984 1.503548064490590.10597676579 1.53969386547287-1.35412487004 1.4478485504057-1.58581843663 1.22603724593809-0.47090874288 0.8842491402622120.55211269556 0.4442598184332720.22756215698 -0.0617060597536641-1.01427636714 -0.593394822715987-1.58603431234 -1.10583940773951-0.65806627074 -1.553288048240910.84005189549 -1.893393049221711.32393986478 -2.091268628862510.43224517674 -2.12302579208671-0.57011669618 -1.97842926558833-0.33352854224 -1.662393997162620.94761212705 -1.195140424211831.76811188161 -0.6109494942733211.11685053036 0.044411008400171-0.31449864087 0.717390262812169-0.96021798044 1.35117855358082-0.24337790738 1.890657492165020.75963306905 2.28733287877064


0.63749438965 2.50379823067462-0.64604927296 2.51731064741711-1.69943436811 2.32213405956492-1.36160744917 1.93041175667176-0.07901468193 1.371460892701070.64207957178 0.6895245122813090.04006962044 -0.0598416693885214-1.00595131591 -0.814443212380152-1.05278535533 -1.510776255970870.15925314170 -2.08954208821246

-2.50085467441518-2.70867159937574-2.69404489575618-2.45689173275697-2.01611661850643-1.40806463943443

-0.6834357646601130.0970704768566612

0.867995450684811.564782076627752.129352556198642.515107592286412.690904171639712.643661841719522.379371895728651.922428472557011.31335193423802

0.605119068719015-0.141561535471505-0.863598449182457-1.50100797896597-2.00205585488363-2.32759653617792-2.45423464523139

-2.376044451056-2.10471751262992-1.66815290934187-1.10764546289994

-0.4739519801006340.1773875181948810.7910359806933061.316696086856811.713364068501361.952630079016682.02075072729272

1.919339060578261.664648819210841.28556059108179

0.8204952344637580.313573733037701-0.189595915094276-0.646100263372452-1.01948102866195-1.28273716011274-1.42031352529802-1.42892638239265-1.3171924108968

-1.10414468380291

Propiedades del Sistema Solucion Numerica Mediante en Metodo de Aceleracion Linealc 4775.06701 0.05m 250000 16.4478982662008 0K 1713172.499000000000 0.1910 0.1


0.1 Ɣ1 0.5 0.40 β 0.1667 0.50 150143252.0102 0.60 15009550.1340133 0.7

g 10 Ɣ -0.4 0.8K Circunf. 151856424.509200 500238.753350333 0.9

11.11.21.3

1713172.499000000000 1.41.5

36482.024 1.61.71.81.92

2.12.22.32.42.52.62.72.82.93

3.13.23.33.43.53.63.73.83.94

4.1

𝑡_𝑖x𝑇_𝑛𝑤_𝑛𝑑_𝑡𝑣_0𝑉_0𝑎_0 𝑎_1𝑎_2

𝑎_3

4.24.34.44.54.64.74.84.95

5.15.25.35.45.55.65.75.85.96

6.16.26.36.46.56.66.76.86.97

7.17.27.37.47.57.67.77.87.98

8.18.28.38.48.58.6

8.78.88.99

9.19.29.39.49.59.69.79.89.910

Solucion Numerica Mediante en Metodo de Aceleracion LinealP Cinrcunflejo Aceleracion i+1 Velocidad i+1

0.00000 0.00000000000 0.00000000000-309016.99437 -309016.99437494700 -1.22095721155 -0.06104786058-587785.25229 -2420387.10011955000 -2.23744949494 -0.23396819590-809016.99437 -7833114.74194546000 -2.87324033307 -0.48950268730-951056.51630 -17480323.04336850000 -3.00044796896 -0.78318710240

-1000000.00000 -31539344.71954550000 -2.55648597287 -1.06103379950-951056.51630 -49339082.59999970000 -1.55355393255 -1.26653579477-809016.99437 -69378759.74507500000 -0.07952352193 -1.34818966749-587785.25229 -89459347.73133160000 1.71000517384 -1.26666558490-309016.99437 -106915796.33614300000 3.60774133840 -1.00077825928

0.00000 -118926122.21664500000 5.37720787790 -0.55153079847309016.99437 -122863778.25404500000 6.77935727949 0.05629745940587785.25229 -116653605.07881600000 7.60045642711 0.77528814473809016.99437 -99089788.05247930000 7.67820529728 1.53922123095951056.51630 -70076893.24255770000 6.92317973059 2.26929048234

1000000.00000 -30762046.75106610000 5.33312257272 2.88210559751951056.51630 16462995.70033130000 2.99830946135 3.29867719921809016.99437 68097816.33301990000 0.09711650968 3.45344849776587785.25229 119800643.97049900000 -3.11807298713 3.30240067389309016.99437 166765894.18374200000 -6.34346925287 2.82932356189

0.00000 204178144.78232700000 -9.25291188207 2.04950450514-309016.99437 227699161.85388900000 -11.53054342818 1.01033173963-587785.25229 233939182.36871700000 -12.90386913203 -0.21138888838-809016.99437 220863106.42162800000 -13.17381909302 -1.51527329963-951056.51630 188086751.19741600000 -12.23863847162 -2.78589617786

-1000000.00000 137027555.65335100000 -10.10896717498 -3.90327646019-951056.51630 70887298.08322190000 -6.91228505595 -4.75433907174-809016.99437 -5539719.45704002000 -2.88591541440 -5.24424909526-587785.25229 -86222474.64907020000 1.64109940424 -5.30648989576-309016.99437 -164385854.99092700000 6.27582111381 -4.91064386986

0.00000 -233098477.79638800000 10.59650929118 -4.06702734961309016.99437 -285903220.11005700000 14.19177683056 -2.82761304353587785.25229 -317431932.67308800000 16.70011589997 -1.28301840700809016.99437 -323945282.39898100000 17.84597303858 0.44428603993951056.51630 -303743847.22651000000 17.46879282868 2.21002433329

1000000.00000 -257407114.34627800000 15.54204438132 3.86056619379951056.51630 -187832017.53517400000 12.18014178723 5.24667550222809016.99437 -100060750.45246200000 7.63228655028 6.23729691910587785.25229 -907140.72923716200 2.26349209903 6.73208585156309016.99437 101589976.75995400000 -3.47571962619 6.67147447520

0.00000 198841027.54723100000 -9.08835054267 6.04327096676-309016.99437 282449213.34453300000 -14.07520935306 4.88509297197

𝑡_𝑖 𝑝_𝑖

-587785.25229 344957052.08686200000 -17.98040456580 3.28231227603-809016.99437 380527927.96222200000 -20.43382075714 1.36160100988-951056.51630 385499164.58571200000 -21.18656340003 -0.71941819798

-1000000.00000 358753661.40905900000 -20.13595321015 -2.78554402848-951056.51630 301872768.55343500000 -17.33757801826 -4.65922058991-809016.99437 219052432.03669600000 -13.00308442308 -6.17625371197-587785.25229 116785964.17594500000 -7.48370423088 -7.20059314467-309016.99437 3338120.38693040000 -1.24083905664 -7.63682030905

0.00000 -111945491.78743300000 5.19375500943 -7.43917451141309016.99437 -219434103.85097800000 11.26464812086 -6.61625435489587785.25229 -310042754.52694900000 16.44207696283 -5.23091810071809016.99437951056.51630

1000000.00000951056.51630809016.99437587785.25229309016.99437

0.00000-309016.99437-587785.25229-809016.99437-951056.51630

-1000000.00000-951056.51630-809016.99437-587785.25229-309016.99437

0.00000309016.99437587785.25229809016.99437951056.51630

1000000.00000951056.51630809016.99437587785.25229309016.99437

0.00000-309016.99437-587785.25229-809016.99437-951056.51630

-1000000.00000-951056.51630

-809016.99437-587785.25229-309016.99438

0.00000309016.99437587785.25229809016.99437951056.51630

1000000.00000951056.51630809016.99437587785.25229309016.99438

0.00000

Solucion Numerica Mediante en Metodo de Aceleracion LinealDesplazamiento i+1

0.00000000000 0.00000000000000-0.00203492869 -0.0161705539372688-0.01593865461 -0.052256836988752-0.05158237307 -0.11650480668981-0.11511085619 -0.210028759905199-0.20769186962 -0.328282505704601-0.32490612603 -0.461201620241452-0.45687075782 -0.59409766973831-0.58910479435 -0.709222246629697-0.70405843336 -0.787838307587513-0.78314844170 -0.812572550068741-0.80907856649 -0.769782612495559-0.76818353557 -0.651661482742606-0.65252285751 -0.457820433340487-0.46146808388 -0.196139666071429-0.20257323225 0.1172518392755010.10841158518 0.4589161531200810.44843553082 0.7999169318178270.78890731398 1.108355738011971.09818135599 1.35240529929521.34454729487 1.503548064490591.49943713340 1.539693865472871.54052871405 1.44784855040571.45442056295 1.226037245938091.23858277189 0.8842491402622120.90234941390 0.4442598184332720.46680473554 -0.0617060597536641-0.03647998084 -0.593394822715987-0.56778944274 -1.10583940773951-1.08250839912 -1.55328804824091-1.53499253357 -1.89339304922171-1.88272060951 -2.09126862886251-2.09034246459 -2.12302579208671-2.13323396390 -1.97842926558833-2.00020412839 -1.66239399716262-1.69506897833 -1.19514042421183-1.23690530804 -0.610949494273321-0.65891680761 0.044411008400171-0.00597367370 0.7173902628121690.66898701908 1.351178553580821.30940148360 1.890657492165021.85997539622 2.28733287877064


2.27159998796 2.503798230674622.50584016575 2.517310647417112.53857659188 2.322134059564922.36245297207 1.930411756671761.98788276182 1.371460892701071.44249696873 0.6895245122813090.76905514240 -0.05984166938852140.02198208207 -0.814443212380152-0.73717982067 -1.51077625597087-1.44501034158 -2.08954208821246-2.04168348839 -2.50085467441518

-2.70867159937574-2.69404489575618-2.45689173275697-2.01611661850643-1.40806463943443

-0.6834357646601130.0970704768566612

0.867995450684811.564782076627752.129352556198642.515107592286412.690904171639712.643661841719522.379371895728651.922428472557011.31335193423802

0.605119068719015-0.141561535471505-0.863598449182457-1.50100797896597-2.00205585488363-2.32759653617792-2.45423464523139

-2.376044451056-2.10471751262992-1.66815290934187-1.10764546289994

-0.4739519801006340.1773875181948810.7910359806933061.316696086856811.713364068501361.952630079016682.02075072729272

1.919339060578261.664648819210841.28556059108179

0.8204952344637580.313573733037701-0.189595915094276-0.646100263372452-1.01948102866195-1.28273716011274-1.42031352529802-1.42892638239265-1.3171924108968

-1.10414468380291

metodo de diferencia central 2

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