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

Solucion Numerica Mediante en Metodo de Diferencia Central

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

METODO DIFERENCIALTEORICO

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

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

Solucion Numerica Mediante en Metodo de Diferencia Central

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

Solucion Numerica Mediante en Metodo de Diferencia Central

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

METODO DIFERENCIALTEORICO

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

METODO DIFERENCIALTEORICO

0 10 20 30 40 50 60 70 80

-3.00000000000

-2.00000000000

-1.00000000000

0.00000000000

1.00000000000

2.00000000000

3.00000000000

METODO DIFERENCIALTEORICO

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 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

𝑈_(𝑖+1) 𝑇𝑒𝑜𝑟𝑖𝑐𝑎

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

Propiedades del Sistema Solucion Numerica Mediante en Metodo de Diferencia Centralc 4775.06701 0.05m 250000 16.4478982662008 0K 1713172.499000000000 0.1910 0.5

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

𝑈_(𝑖+1) 𝑇𝑒𝑜𝑟𝑖𝑐𝑎

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

0.2Valores Iniciales Calculos Iniciales 0.3

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

𝑈_(𝑖+1) 𝑇𝑒𝑜𝑟𝑖𝑐𝑎

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