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Motiejus Jakštys 2020-12-14 16:09:54 +02:00
parent f3617d88b6
commit 020e92a2cf
11 changed files with 308 additions and 0 deletions
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phi,M,N,R,r,lgr,Sm,Sn,lnU,lgU,D,P
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86,6399384.1,6399593.9,6399489,446413.1,5.6497369,9555362,7791.4,3.34798154,1.4540099,11509513,40491356.2
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1 phi M N R r lgr Sm Sn lnU lgU D P
2 0 6335552.9 6378245 6356863.1 6378245 6.8047012 0 111321.4 0 0 0 0
3 0.5 6335557.7 6378246.6 6356866.3 6378003.8 6.8046848 55288.1 111317.2 0.00866835 0.00376462 29800 352636.9
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5 1.5 6335596.4 6378259.6 6356892.2 6376074 6.8045533 165864.8 111283.5 0.02600772 0.01129501 89408 1057806.1
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7 2.5 6335673.9 6378285.6 6356944 6372214.9 6.8042904 276442.4 111216.1 0.04335512 0.01882889 149044 1762661.7
8 3 6335727.1 6378303.5 6356979.6 6369562.2 6.8041096 331731.8 111169.8 0.05203351 0.02259787 178878 2114906.6
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11 4.5 6335944.4 6378376.4 6357125 6358714 6.8033693 497603.4 110980.5 0.07809552 0.03391645 268473 3170596.3
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71 34.5 6356014.7 6385104.2 6370542.9 5262131.6 6.7211617 3819192.8 91841.5 0.63842169 0.27726302 2194732 22921139.9
72 35 6356537.5 6385279.3 6370892.2 5230514.6 6.7185444 3874661.8 91289.7 0.64899458 0.28185476 2231079 23212149.9
73 35.5 6357063.7 6385455.4 6371243.8 5198498.4 6.7158779 3930135.3 90730.9 0.65963286 0.28647491 2267651 23501418.9
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75 36.5 6358125.6 6385811 6371953.3 5133278 6.7103948 4041096.3 89592.6 0.68111215 0.29580325 2341491 24074645.2
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#!/usr/bin/python3
from math import sin, cos, sqrt, e, log, radians, pi, degrees
sinq = lambda x: sin(x)**2
sqr = lambda x: x**2
# duota
B = radians(13)
# didysis pusašis
a = 6378137
# suspaudimas
alpha = 1/298.25722
# mažasis pusašis
b = a*(1-alpha)
# ekscentricitetas
e2 = (a**2-b**2)/(a**2)
# meridiano kreivumo spindulys
M = a*(1-e2)/((1-e2*sinq(B))**3/2)
# meridiano vertikalės kreivumo spindulys
N = a/sqrt(1-e2*sinq(B))
# vidutinis kreivumo spindulys
R = sqrt(M*N)
# lygiagretės spindulys
r = N * cos(B)
# Lygiagretės lanko ilgis metrais
Sn = r/degrees(1)
## Trapecijos plotas esant 1 radiano platumai
P = sqr(b)/2 * ( sin(B)/(1-e2*sinq(B)) + 1/(2*e)*log( (1+e*sin(B))/(1-e*sin(B)) ) )
g = globals()
for v in ["b", "e2", "M", "N", "R", "r", "Sn", "P"]:
print("%2s: %18.4f" % (v, g[v]))

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III/Ovodas/task2_1.py Executable file
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#!/usr/bin/python3
import csv
from math import degrees
from shapely.geometry import LineString
import matplotlib.pyplot as plt
phi_p, phi_s, dphi = 13, 49, 6
nphi = int((phi_s-phi_p)/dphi)+1
lambda_v, lambda_r, dlambda = 0, 24, 6
nlambda = int((lambda_r-lambda_v)/dlambda)+1
M = 25e6
# label orientations
W, E, N, S = (-25, -5), (10, -5), (-5, 10), (-5, -20)
krasovskio = {}
with open("krasovskio.csv") as f:
for row in csv.DictReader(f):
krasovskio[float(row['phi'])] = row
points = []
for i in range(nphi):
phid = phi_p + i*dphi
betamm = float(krasovskio[phid]["r"]) * 1000 / M
xmm = betamm * float(krasovskio[phid]["lgU"])
on_y = []
for j in range(nlambda):
lambdad = lambda_v + j*dlambda
ymm = betamm * lambdad / degrees(1)
on_y.append((ymm, xmm))
points.append(on_y)
fig, ax = plt.subplots()
ax.set_aspect('equal')
ax.axis("off")
def annotate(ax, nr, point, heading):
text = "{}°".format(nr)
ax.annotate(text, point, textcoords="offset points", xytext=heading)
# abscises
for i in range(nphi):
row = [points[i][j] for j in range(nlambda)]
ax.plot(*(LineString(row).xy), color="xkcd:black", linewidth=.5)
annotate(ax, phi_p+i*dphi, row[0], W)
annotate(ax, phi_p+i*dphi, row[-1], E)
# ordinates
for i in range(nlambda):
col = [points[j][i] for j in range(nphi)]
ax.plot(*(LineString(col).xy), color="xkcd:black", linewidth=.5)
annotate(ax, lambda_v+i*dlambda, col[0], S)
annotate(ax, lambda_v+i*dlambda, col[-1], N)
if __name__ == '__main__':
plt.show()

22
III/Ovodas/uzd.txt Normal file
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@ -0,0 +1,22 @@
┌───────────┬──────────┬───────────────┬──────────────────────┬──────────┐
│Vardas, │1 užduotis│2.1 – 2.2 │2.1 – 2.2 užduotys │3 užduotis│
│pavardė │ │užduotys │ │ │
│ │  │ │ │ │
├───────────┼──────────┼───────────────┼──────────────────────┼──────────┤
│Motiejus │Duomenys │φ[p ]=13°; [ ] │φ[А] = 17° │φ[p ]= │
│Jakštys │pateikti │ │ │43°; [ ] │
│ │užduotyje │φ[š] =49°;[  ] │λ[A  ]= 5° │ │
│  │ │ │ │φ[š] = │
│ │ │λ[v]=0°;  │A taško koordinatės;[]│53°; │
│ │ │ │ │ │
│ │ │λ[r]=24°;  │φ[ B] =44°;  │λ[v ]= │
│ │ │ │ │-5°; │
│ │ │1:М[0]=1:25 │λ[ B] =25°;  │ │
│ │ │000 000 │ │λ[r ]= 5°;│
│ │ │ │B taško koordinatės;[]│ │
│ │ │Δφ ir  Δλ  6 │ │ │
│ │ │laipsniai   │R – vidutinis kreivumo│ │
│ │ │ │spindulys, pagal │ │
│ │ │ │reikšmę φ[v]. (žr. │ │
│ │ │ │priedą) │ │
└───────────┴──────────┴───────────────┴──────────────────────┴──────────┘