Tide Gauge Details - Tonga Island - Nukualofa_TO

Device description

Name
Tonga Island - Nukualofa_TO
Country
Tonga Island
Group
TD UNESCO
Lat/Lon
-21.136801 / -175.180695

Last measured values

Time(UTC)
22 Mar 2023 01:56:00
Latency
3197
Level
0.68

Harmonics

Points count
5245714
First date
29 Apr 2011 19:11
Last date
22 Mar 2023 01:56

Click on following link to see data:

Harmonics Constatns
Comp # Period (day) Cos factor (m) Sin factor (m)
0 0.00000 1.13198E+0 0E+0
1 0.12877 8.00125E-5 -1.70498E-5
2 0.12886 2.27469E-4 2.20265E-4
3 0.12938 1.50011E-4 -1.2271E-4
4 0.14707 -1.19681E-4 5.49296E-5
5 0.16841 2.8455E-4 2.85354E-4
6 0.16857 -9.93247E-5 -1.22357E-3
7 0.17036 6.86823E-4 1.16552E-4
8 0.17052 -2.86196E-3 -1.35677E-3
9 0.17251 -9.57103E-4 1.16021E-3
10 0.17470 4.83005E-4 -2.37674E-4
11 0.19989 2.91505E-4 4.07943E-4
12 0.20545 8.58055E-4 -1.88258E-4
13 0.24966 -6.73952E-4 6.93256E-5
14 0.25000 4.29562E-4 3.36514E-4
15 0.25395 -7.28552E-4 -4.29962E-4
16 0.25431 -3.31263E-5 1.20085E-3
17 0.25631 1.23667E-4 -1.14648E-4
18 0.25667 -2.17717E-4 6.90007E-5
19 0.25876 5.65775E-4 -5.30789E-4
20 0.26122 -3.30925E-4 9.85286E-4
21 0.33303 2.86464E-4 1.52601E-3
22 0.34071 9.65747E-4 -1.78387E-4
23 0.34135 6.472E-4 -4.22822E-4
24 0.34502 -3.28545E-3 3.23387E-3
25 0.34943 -1.58566E-4 4.64349E-4
26 0.48977 -2.30635E-4 1.05694E-3
27 0.49109 1.11367E-3 -8.73912E-5
28 0.49863 1.04145E-2 4.4859E-3
29 0.49932 -1.0889E-3 3.06398E-4
30 0.50000 -3.87784E-2 -4.07752E-2
31 0.50798 1.52813E-3 1.00504E-2
32 0.50924 2.24625E-3 -1.11124E-3
33 0.51606 -5.34448E-3 5.95389E-3
34 0.51679 3.49705E-3 4.20094E-3
35 0.51753 -4.07212E-1 3.09078E-1
36 0.51826 1.57238E-3 -7.51873E-3
37 0.52608 -2.10632E-2 1.59864E-2
38 0.52743 1.02E-1 6.80256E-2
39 0.53632 1.59957E-2 1.265E-2
40 0.53772 5.27959E-3 -1.5297E-2
41 0.54697 1.96575E-3 -4.39188E-3
42 0.54843 -1.69724E-3 -4.9435E-4
43 0.89909 5.96584E-6 2.54705E-4
44 0.92942 1.33566E-3 -1.28525E-3
45 0.93417 9.50147E-4 1.75625E-3
46 0.96244 -3.94447E-3 2.78624E-3
47 0.96696 1.2372E-4 -9.2843E-5
48 0.99185 -8.6552E-4 6.36968E-4
49 0.99455 2.47021E-3 8.40687E-4
50 0.99727 4.44908E-2 4.416E-2
51 1.00000 7.88126E-4 2.22173E-3
52 1.00275 1.08698E-2 1.61855E-2
53 1.00551 -6.63632E-4 9.9635E-4
54 1.02954 -2.19956E-4 2.23898E-3
55 1.03472 1.55367E-3 -1.87187E-3
56 1.04061 3.93548E-4 4.38393E-6
57 1.06951 -6.49533E-4 -1.58471E-3
58 1.07581 3.12067E-2 -7.34716E-3
59 1.11346 1.90137E-4 1.53975E-3
60 1.11951 -2.27651E-3 -4.8455E-3
61 1.16035 6.63432E-4 -8.8569E-4
62 1.16693 1.20485E-4 -5.3652E-4
63 1.21136 6.84956E-5 -1.1669E-4
64 13.66079 3.15459E-3 -8.11404E-3
65 14.76529 1.41803E-3 2.12077E-3
66 27.55455 4.18972E-3 1.58681E-2
67 31.81193 -2.22254E-2 2.8373E-3
68 182.62118 -5.39466E-2 5.88077E-2
69 365.25998 6.91965E-2 1.08149E-1
Mathematical Formula
Visual Basic Syntax
Function EstimateTideValues() As [Function]
                        Dim Pi As [Double] = Math.PI
                        Dim sum As [Double] = harmonics(0, 1)
                        For k As Int16 = 1 To harmonics.GetUpperBound(0)
                        Dim period As [Double] = 2 * Pi / harmonics(k, 0)
                        Dim coefCos As [Double] = harmonics(k, 1)
                        Dim coefSin As [Double] = harmonics(k, 2) 
                        sum = sum + coefCos * Math.Cos(time * period)
                        sum = sum + coefSin * Math.Sin(time * period)
                        Next
                        Return sum
                        End Function
C# Syntax
double EstimateTideValues()
                        {
                        double Pi = Math.PI;
                        double sum = harmonics[0, 1];
                        for (int k=1; k <= harmonics.GetUpperBound(0); k++)
                        {
                        double period = 2 * Pi / harmonics[k, 0];
                        double coefCos = harmonics[k, 1];
                        double coefSin = harmonics[k, 2];
                        sum += coefCos * Math.Cos(time * period);
                        sum += coefSin * Math.Sin(time * period);
                        }
                        return sum;
                        }

Axis ranges

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