Video «GO FAST» de la Academia To The Stars de Tom DeLonge. ¿Pájaro? (9)
—–
James Thorpe Nuevo miembro
Esta es la ubicación que obtuve una vez que el giro de 5 grados del avión se colocó en el gráfico de la Geobra de Mick. Solo ha recorrido 345 metros en los 19 segundos que son 35 nudos.
# 138
—–
JUSTIN SHAW Nuevo Miembro
Mick West dijo:
Claramente hay un poco de deriva del centro de funciones allí, puedes verlo en las dos imágenes. Sin embargo, creo que es exacto dentro de 1°
Sin embargo, me preocuparía la acumulación de errores si usa un valor distinto de cero cuando el avión no está realmente girando.
Excelente trabajo. Mantenga este análisis marcado. Siempre habrá una acumulación de errores, ¡pero este es el mejor método presentado hasta ahora!
Acabo de escribir un guión que convierte el ángulo de balanceo en aceleración suponiendo que el piloto mantiene un giro coordinado manteniendo la aceleración total (gravedad + aceleración) ortogonal a las alas.
si a, v y p son aceleración, velocidad y posición, entonces podemos integrar numéricamente de la siguiente manera:
Deje G = 9.8 m/s^2
inicialice v y p apropiadamente y luego repita los siguientes pasos:
rollo = siguiente ángulo de balanceo
acc = -tan (rollo) * G
resolver como un giro coordinado.
v = v + a * dt
p = p + v * dt
Publicaré los resultados tan pronto como los reciba.
# 139
—–
Getoffthisplanet New Member
Mick West dijo:
Incluso podría generarlo en Excel con varias columnas y exportar CSV con espacios como separadores.
No podría haber sido un proceso menos indoloro.
Disculpas si esto está fuera de tema.
# 140
—–
Igoddard Active Member
Estabilicé uno de los dos segmentos sin seguimiento de seguimiento (a la mitad de la velocidad) a las olas para que el océano se mantuviera estable (con un poco de trepidación, ¡ay!). Como era de esperar, la trayectoria del objeto se ve recta, denotada por su pista paralela junto a una línea recta roja superpuesta (en contraste con la versión no estabilizada que publiqué anteriormente). En el segmento original, la trayectoria del objeto tiene una ligera curva, probablemente un artefacto de movimiento de la cámara.
A continuación, estabilizaré el segundo segmento sin seguimiento, que muestra una ruta más curva en la película original.
# 141
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JUSTIN SHAW Nuevo Miembro
Mick West dijo:
Se me acaba de ocurrir un método: seguimiento de imágenes en Adobe After Effects
A continuación, puede hacer clic en el centro de funciones en la línea de tiempo, Copiar y luego pegar en Excel. Repita para el segundo centro de funciones. Calcular el ángulo. ¡Hecho!
https://www.metabunk.org/attachments/go-fast-tilt-tracking-xlsx.32275/
@Mick West tuvo la amabilidad de sacar los datos del rollo del horizonte artificial.
Aquí está la pista con la información del rollo incluida (suponiendo giros coordinados como se describió anteriormente).
Cuando asumo un viento cruzado de 100 nudos, la velocidad del objeto es de solo 50 nudos.
Y amplió, en 3D el movimiento del objeto se ve bastante aleatorio.
Aquí están los datos sin procesar:
Intenta con el código nuevamente @Mick West, todo debería funcionar para ti, excepto para las tramas 3D.
Código:
de numpy import *
de pylab import *
desde scipy.interpolate import *
################################################################ constantes
#########################################################################
G = 9.8 ## m/s^2
NMI = 1852.
HORA = 3600.
DEG = pi/180.
KTS = NMI/HORA
PIES = PIE = .3048
########################################################### datos sin procesar
#########################################################################
txt = ‘goFastRoll.txt’
roll_data = loadtxt (txt, skiprows = 1)
# t sec az deg, el deg, rango nmi v?
az_data = array ([
[12 + 10./30, -43],
[13 + 10./30, -44],
[13 + 20.30, -45],
[14 + 19./30, -46],
[15 + 13./30, -47],
[16 + 13./30, -48],
[18 + 0./30, -49],
[21 + 6./30, -50],
[23 + 6./30, -51],
[24 + 18./30, -52],
[26 + 6./30, -53],
[27 + 18./30, -54],
[29 + 6./30, -55],
[30 + 13./30, -56],
[31 + 19./30, -57],
[32 + 25./30, -58],
[33 + 0./30, -58]
]
el_data = array ([
[12 + 10./30, -26],
[13 + 19./30, -27],
[16 + 6./30, -28],
[18 + 25./30, -29],
[21 + 7./30, -30],
[23 + 13./30, -31],
[25 + 25./30, -32],
[28 + 1.30, -33],
[30 + 1.30, -34],
[32 + 7./30, -35],
[33 + 0./30, -35]
]
rng_data = array ([
[12 + 10./30, 4.4],
[13 + 10./30, 4.3],
[15 + 3./30, 4.2],
[17 + 4./30, 4.1],
[19 + 1./30, 4.0],
[20 + 29./30, 3.9],
[22 + 28./30, 3.8],
[24 + 28./30, 3.7],
[27 + 1./30, 3.6],
[29 + 13./30, 3.5],
[31 + 22./30, 3.4],
[33 + 0./30, 3.4],
]
az = interp1d (az_data [:, 0], az_data [:, 1])
el = interp1d (el_data [:, 0],
rng = interp1d(rng_data[:,0], rng_data[:,1])
roll = interp1d(roll_data[:,0], -roll_data[:,1])
dt = .1
t = arange(15, 30, dt)
N = len(t)
## alinear los datos a una cuadrícula de tiempo uniforme y unidades estándar
data = vstack ([az (t) * DEG, el (t) * DEG, rng (t) * NMI, roll (t) * DEG]). T
################################################################# funciones
def get_accel (roll):
» ‘
asumiendo un giro corredizo para que el vector de aceleración (con la gravedad) sea ortogonal a las alas
» ‘
return -tan (rollo) * G
########################### Integración numérica de aceleración para obtener vel y pos
para WIND_HDG en arange (225, 226, 45) * DEG:
# xoWIND_HDG = 90 * DEG
WIND_SPD = 100 * KTS
WIND_VEL = array ([cos (WIND_HDG), -sin (WIND_HDG), 0]) * WIND_SPD
AIR_SPEED = 369 * KTS
pos = array ([0, 0, 25000 * FEET])
vel = array ([AIR_SPEED, 0, 0]) + WIND_VEL
poss = [] ### guardar pista
vels = [] ### save vel
Xs = []
R = array ([0, 0, 1]) ### unit up vector (suponga una curvatura de tierra mínima)
para mí en el rango (N):
rho = data [i, 3] ## grab roll
I = vel – dot (R, vel) * R; I = I / linalg.norm (I) ## intrack vector
L = array ([- I [1], I [0], 0]) ## unidad horizontal vector izquierdo
a = get_accel (rho) * L
dv = a * dt
vel = vel + dv
# vel = GND_SPEED * vel / linalg.norm (vel)
dp = vel * dt
pos = pos + dp
C = cruz (R, I)
RIC_X = vstack ([R, I, C]). T
RHO_X = array ([[cos (rho), 0, -sin (rho)],
[0, 1, 0],
[sin (rho), 0, cos (rho)]])
X = RIC_X @ RHO_X ## incluir rollo
X = RIC_X ### no incluir rollo
poss.append (pos)
Vels.append (vel)
Xs.append (X)
poss = array (poss)
vels = array (vels)
Xs = array (Xs)
azs = datos [:, 0]
els = data [:, 1]
rngs = data [:, 2]
### cálculo posición 3d del objeto desconocido
x = cos (azs) * cos (els)
y = -sin (azs) * cos (els)
z = sin (els)
doas = vstack ([z, x, y]). T
d_fixed = array ([X @ d para X, d en zip (Xs, doas)])
gs = poss + d_fixed * rngs [:, newaxis]
figura (123); plot (linalg.norm (abs (diff (gs, axis = 0)), axis = 1) / dt / KTS)
############################################################### GRAFICAS
#########################################################################
Figura 1)
ax = subparcela (411)
plot (t, az (t))
plot (az_data [:, 0], az_data [:, 1])
ylabel (‘Az [deg]’)
subtrama (412)
plot (t, el (t))
plot (el_data [:, 0], el_data [:, 1])
ylabel (‘El [deg]’)
subtrama (413)
plot (t, rng (t))
plot (rng_data [:, 0], rng_data [:, 1])
ylabel (‘Rng [nmi]’)
subtrama (414)
plot (t, roll (t))
plot (roll_data [:, 0], -roll_data [:, 1])
ylabel (‘Roll [deg]’)
xlabel (‘Tiempo [seg]’)
Figura 2)
plot (-poss [:, 1] / NMI, poss [:, 0] / NMI)
plot (-gs [:, 1] / NMI, gs [:, 0] / NMI)
xlabel (‘<- Puerto [nmi] estribor ->’)
ylabel (‘Intrack [nmi] ->’)
eje (‘igual’)
## try 3D plot … no error si las libs no están presents
tratar:
importar matplotlib como mpl
de mpl_toolkits.mplot3d importar Axes3D
fig = plt.figure (3)
ax = fig.gca (proyección = ‘3d’)
# ax.plot (-poss [:, 1] / NMI, poss [:, 0] / NMI, poss [:, 2] / FEET)
ax.plot (-gs [:, 1] / NMI, gs [:, 0] / NMI, gs [:, 2] / FEET)
excepto:
pasar
show()
ROLL DATA, guardar como «goFastRoll.txt»
Código:
Tiempo (sec) ANGULO (grados)
0.000000000 -1.527525442
0.03336670003 -1.527525442
0.06673340007 -1.529930785
0.1001001001 -1.529727759
0.1334668001 -1.529467672
0.1668335002 -1.518095647
0.2002002002 -1.53267112
0.2335669002 -1.474672013
0.2669336003 -1.442115169
0.3003003003 -1.449033179
0.3336670003 -1.448491076
0.3670337004 -1.366693395
0.4004004004 -1.362085868
0.4337671004 -1.448560624
0.4671338005 -1.366816098
0.5005005005 -1.35875473
0.5338672005 -1.347126873
0.5672339006 -1.313522968
0.6006006006 -1.316211803
0.6339673006 -1.31669294
0.6673340007 -1.319092193
0.7007007007 -1.318687659
0.7340674007 -1.310107293
0.7674341008 -1.269931244
0.8008008008 -1.271831854
0.8341675008 -1.254297799
0.8675342009 -1.252965901
0.9009009009 -1.187814438
0.9342676009 -1.18963841
0.967634301 -1.194717652
1.001001001 -1.097501285
1.034367701 -1.091757519
1.067734401 -1.08559533
1.101101101 -1.085369117
1.134467801 -1.06274827
1.167834501 -0.9839292344
1.201201201 -0.9869799868
1.234567901 -0.9899353083
1.267934601 -0.9880899279
1.301301301 -0.9138886262
1.334668001 -0.832264237
1.368034701 -0.8366440038
1.401401401 -0.8300653589
1.434768101 -0.8177009379
1.468134801 -0.8097928306
1.501501502 -0.7414495604
1.534868202 -0.7397942202
1.568234902 -0.7470575709
1.601601602 -0.8010169766
1.634968302 -0.8052596287
1.668335002 -0.8071316226
1.701701702 -0.7127572193
1.735068402 -0.6565412697
1.768435102 -0.6482386193
1.801801802 -0.5111619268
1.835168502 -0.5426412843
1.868535202 -0.545593627
1.901901902 -0.555778022
1.935268602 -0.4748472525
1.968635302 -0.4755367486
2.002002002 -0.4594720966
2.035368702 -0.4087903385
2.068735402 -0.4039990677
2.102102102 -0.4086619848
2.135468802 -0.4045519829
2.168835502 -0.4076769789
2.202202202 -0.4043038865
2.235568902 -0.3952245231
2.268935602 -0.3957967707
2.302302302 -0.3478919869
2.335669002 -0.3526225688
2.369035702 -0.3477584524
2.402402402 -0.2733829195
2.435769102 -0.272165513
2.469135802 -0.1613005246
2.502502503 -0.1594394579
2.535869203 -0.1652063862
2.569235903 -0.1599757997
2.602602603 -0.1588678392
2.635969303 -0.06983149832
2.669336003 -0.03879850644
2.702702703 -0.03590305267
2.736069403 -0.08649174158
2.769436103 -0.08537901971
2.802802803 -0.0076371359
2.836169503 0.03037854839
2.869536203 0.004731278231
2.902902903 -0.001221433788
2.936269603 0.008855984867
2.969636303 0.007185573954
3.003003003 0.01437383248
3.036369703 0.02275023371
3.069736403 0.04108559377
3.103103103 0.05898131067
3.136469803 0.07997317346
3.169836503 0.04764238146
3.203203203 0.0465891272
3.236569903 0.04415099376
3.269936603 0.04475849965
3.303303303 0.126531145
3.336670003 0.1336642461
3.370036703 0.1342802926
3.403403403 0.1313700651
3.436770103 0.1332112978
3.470136803 0.1307712464
3.503503504 0.1330422158
3.536870204 0.1646711233
3.570236904 0.2614225177
3.603603604 0.250964315
3.636970304 0.2640974045
3.670337004 0.2616513747
3.703703704 0.2591527634
3.737070404 0.2532082782
3.770437104 0.2496449063
3.803803804 0.2503271973
3.837170504 0.2396128143
3.870537204 0.2430830349
3.903903904 0.3141675899
3.937270604 0.2982442049
3.970637304 0.3042371158
4.004004004 0.288622051
4.037370704 0.2924327798
4.070737404 0.2763718307
4.104104104 0.2816523015
4.137470804 0.2872071261
4.170837504 0.2925302875
4.204204204 0.2902204131
4.237570904 0.2871328248
4.270937604 0.3006951125
4.304304304 0.3147500142
4.337671004 0.3223346498
4.371037704 0.3270428544
4.404404404 0.3302481266
4.437771104 0.3224731411
4.471137804 0.3186776727
4.504504505 0.3176060991
4.537871205 0.3284804441
4.571237905 0.3303001286
4.604604605 0.3230097479
4.637971305 0.3372224496
4.671338005 0.3360897312
4.704704705 0.3276531444
4.738071405 0.3275204786
4.771438105 0.3264529126
4.804804805 0.3289109136
4.838171505 0.3313271274
4.871538205 0.3348536606
4.904904905 0.3296629602
4.938271605 0.3318900548
4.971638305 0.3422003499
5.005005005 0.3350306172
5.038371705 0.3271994478
5.071738405 0.3126343509
5.105105105 0.3367558631
5.138471805 0.3379372608
5.171838505 0.3361291825
5.205205205 0.3307864206
5.238571905 0.3356151146
5.271938605 0.3396906935
5.305305305 0.3312008
5.338672005 0.3293351361
5.372038705 0.3280746554
5.405405405 0.3179468967
5.438772105 0.3202477755
5.472138805 0.2155086981
5.505505506 0.2172234273
5.538872206 0.2171354326
5.572238906 0.2194100805
5.605605606 0.2253649605
5.638972306 0.2238630274
5.672339006 0.2232244181
5.705705706 0.224924271
5.739072406 0.2207983643
5.772439106 0.1920753738
5.805805806 0.1952403526
5.839172506 0.1617009453
5.872539206 0.1456046429
5.905905906 0.1389826338
5.939272606 0.1430643286
5.972639306 0.150215597
6.006006006 0.1507057654
6.039372706 0.1455173345
6.072739406 0.1376628363
6.106106106 0.1430808926
6.139472806 0.1472311576
6.172839506 0.1479789621
6.206206206 0.07521509445
6.239572906 0.04820962478
6.272939606 0.02273690368
6.306306306 0.02991420426
6.339673006 0.03282121913
6.373039706 0.1288672285
6.406406406 0.1442827146
6.439773106 0.1471918612
6.473139806 0.05626149743
6.506506507 0.05198447899
6.539873207 0.05088230236
6.573239907 0.1296649091
6.606606607 0.1521683054
6.639973307 0.1544789339
6.673340007 0.1569802085
6.706706707 0.1497781619
6.740073407 0.1425725158
6.773440107 0.03590487173
6.806806807 0.001221889633
6.840173507 -0.04063583953
6.873540207 0.007176879697
6.906906907 0.01252109748
6.940273607 0.01252393452
6.973640307 0.01847664719
7.007007007 0.01313794001
7.040373707 0.008396171423
7.073740407 0.1329475834
7.107107107 0.04537982105
7.140473807 0.04890581944
7.173840507 0.1647673266
7.207207207 0.1624711909
7.240573907 0.1737244405
7.273940607 0.1785209446
7.307307307 0.4401060434
7.340674007 0.5297934934
7.374040707 0.585160826
7.407407407 0.6488828517
7.440774107 0.8557198246
7.474140807 0.8720840771
7.507507508 0.9631847552
7.540874208 1.087345798
7.574240908 1.129658415
7.607607608 1.353858652
7.640974308 1.355197032
7.674341008 1.491477026
7.707707708 1.652832032
7.741074408 1.682064738
7.774441108 1.69013752
7.807807808 1.985025827
7.841174508 2.141501228
7.874541208 2.146928462
7.907907908 2.209474635
7.941274608 2.361747655
7.974641308 2.508874464
8.008008008 2.553749531
8.041374708 2.592170263
8.074741408 2.74387907
8.108108108 2.927138031
8.141474808 2.942468384
8.174841508 3.003421987
8.208208208 3.169967767
8.241574908 3.197124084
8.274941608 3.350520499
8.308308308 3.477643349
8.341675008 3.477346939
8.375041708 3.490428103
8.408408408 3.641759867
8.441775108 3.67308715
8.475141808 3.693616342
8.508508509 3.751008408
8.541875209 3.811184411
8.575241909 3.946485303
8.608608609 4.093713508
8.641975309 4.100304133
8.675342009 4.102699808
8.708708709 4.133513377
8.742075409 4.257949411
8.775442109 4.274792196
8.808808809 4.314863775
8.842175509 4.317083764
8.875542209 4.419870404
8.908908909 4.335628922
8.942275609 4.445768951
8.975642309 4.473927598
9.009009009 4.476764057
9.042375709 4.491914778
9.075742409 4.584717541
9.109109109 4.586594021
9.142475809 4.729299511
9.175842509 4.866171966
9.209209209 4.891234682
9.242575909 4.885163479
9.275942609 4.87686318
9.309309309 4.885444872
9.342676009 4.882358136
9.376042709 4.882542727
9.409409409 4.872687619
9.442776109 4.884446772
9.476142809 4.883254038
9.50950951 4.738898747
9.54287621 4.72628951
9.57624291 4.706005912
9.60960961 4.712713997
9.64297631 4.715958002
9.67634301 4.723561616
9.70970971 4.486312076
9.74307641 4.481979166
9.77644311 4.479681252
9.80980981 4.45691911
9.84317651 4.435989054
9.87654321 4.334150424
9.90990991 4.290288524
9.94327661 4.285266343
9.97664331 4.288531878
10.01001001 4.136035135
10.04337671 4.136959314
10.07674341 4.098220559
10.11011011 3.855236764
10.14347681 3.82217163
10.17684351 3.798004375
10.21021021 3.766552233
10.24357691 3.672228996
10.27694361 3.668946335
10.31031031 3.549295298
10.34367701 3.530745657
10.37704371 3.526203888
10.41041041 3.395203994
10.44377711 3.233185011
10.47714381 3.212707126
10.51051051 3.176568591
10.54387721 3.149448812
10.57724391 3.027633909
10.61061061 2.992109004
10.64397731 2.946953831
10.67734401 2.8916679
10.71071071 2.608594293
10.74407741 2.598443839
10.77744411 2.574868553
10.81081081 2.441916801
10.84417751 2.290061013
10.87754421 2.286649697
10.91091091 2.136317303
10.94427761 2.049801432
10.97764431 2.050831371
11.01101101 1.822033784
11.04437771 1.819447115
11.07774441 1.818007564
11.11111111 1.715545716
11.14447781 1.714019862
11.17784451 1.609798227
11.21121121 1.467112901
11.24457791 1.413250459
11.27794461 1.332837638
11.31131131 1.187428383
11.34467801 1.079115035
11.37804471 1.072084626
11.41141141 0.9892927561
11.44477811 0.8952190635
11.47814481 0.8931571976
11.51151151 0.787086616
11.54487821 0.5487195613
11.57824491 0.5562270077
11.61161161 0.4346186939
11.64497831 0.4293957367
11.67834501 0.3647660067
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# 142