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gaya_bumi_ellipsoid.py
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gaya_bumi_ellipsoid.py
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# -*- coding: utf-8 -*-
# mencari nilai gayaberat normal, gaya gravitasi dan sentrifugal pada bumi ellipsoid
print("PROGRAM MENCARI GAYA GRAVITASI, SENTRIFUGAL, GAYA BERAT DAN GAYA BERAT NORMAL")
print("Pilihan sistem referensi :")
print("1. GRS-1980/ WGS-84")
print("2. Internasional 1930")
print("3. GRS-1967")
k = 6.67 * (10 ** (-11)) # konstanta gravitasi
me = 5.9742 * (10 ** 24) # massa bumi
w = 7.29212 * (10 ** (-5)) # kecepatan sudut putar
import math
def grs80():
print("\nSistem referensi WGS-84/GRS-1980")
Ye = 978.0327 # gaya berat normal di ekuator
B1 = 0.0053024 # konstanta yang besarnya berbeda setiap ellipsoid
B2 = 0.0000058 # konstanta yang besarnya berbeda setiap ellipsoid
a = 6378137 # sumbu panjang
f = 1 / 298.257
b = a * (1 - f)
return a, b, Ye, B1, B2
def inter():
print("\nSistem referensi Internasioanl 1930")
Ye = 978.049
B1 = 0.0052884
B2 = 0.0000059
a = 6378388
f = 1 / 297
b = a * (1 - f)
return a, b, Ye, B1, B2
def grs67():
print("\nSistem referensi GRS-1967")
Ye = 978.0318
B1 = 0.0053024
B2 = 0.0000059
a = 6378160
f = 1 / 297.247
b = a * (1 - f)
return a, b, Ye, B1, B2
def x():
lintang = float(input("lintang = "))
return lintang
def h():
tinggi = float(input("ketinggian = "))
return tinggi
def gravitasi(x, h):
e = math.sqrt((a ** 2 - b ** 2) / a ** 2) # eksentrisitas
N = a / math.sqrt(1 - (e ** 2) * (math.sin(x * math.pi / 180)) ** 2) # jari kelengkungan utama
G = k * (me / (N + h) ** 2)
return G
def sentrifugal(x, h):
e = math.sqrt((a ** 2 - b ** 2) / a ** 2) # eksentrisitas
N = a / math.sqrt(1 - (e ** 2) * (math.sin(x * math.pi / 180)) ** 2) # jari kelengkungan utama
C = w * w * (N + h) * math.cos(x * math.pi / 180)
return C
def berat(x, h):
e = math.sqrt((a ** 2 - b ** 2) / a ** 2) # eksentrisitas
N = a / math.sqrt(1 - (e ** 2) * (math.sin(x * math.pi / 180)) ** 2) # jari kelengkungan utama
G = k * (me / (N + h) ** 2)
C = w * w * (N + h) * math.cos(x * math.pi / 180)
g = math.sqrt(G * G + C * C + 2 * abs(G) * abs(C) * math.cos((180 - x) * math.pi / 180))
return g
def beratnormal(x):
Y = Ye * (1 + B1 * (math.sin(x * math.pi / 180)) ** 2 - B2 * (math.sin(2 * x * math.pi / 180)) ** 2)
return Y
pilih = int(input("\nMasukkkan sistem referensi (1-3) = "))
if pilih == 1:
a, b, Ye, B1, B2 = grs80()
elif pilih == 2:
a, b, Ye, B1, B2 = inter()
elif pilih == 3:
a, b, Ye, B1, B2 = grs67()
else:
print("\nSistem referensi tidak dipilih")
jml = int(input("anda ingin menghitung berapa lintang ? "))
i = 0
n = 0
hasil1 = []
hasil2 = []
hasil3 = []
hasil4 = []
while i < jml:
i+=1
n+=1
print("\nLintang titik", i)
lintang = x()
print("ketinggian titik", i)
tinggi = h()
m = gravitasi(lintang, tinggi)
hasil1.append(m)
n = sentrifugal(lintang, tinggi)
hasil2.append(n)
o = berat(lintang, tinggi)
hasil3.append(o)
p = beratnormal(lintang)
hasil4.append(p)
print("\nHasil perhitungan :")
j = 0
for q in hasil1:
j+=1
print("nilai gaya gravitasi lintang ke", j, "=", q)
v = 0
for q in hasil2:
v+=1
print("nilai gaya sentrifugal ke", v, "=", q)
z = 0
for q in hasil3:
z+=1
print("nilai gaya berat ke", z, "=", q)
r = 0
for q in hasil4:
r+=1
print("nilai gaya berat normal ke",r, "=", q)