Table of values for the node factor f

The following table of values for the node factor f is intended to extend Table 14 in Schureman (1959) beyond 1999. Values are computed for July 1 of each year using satellite constituent definitions consistent with the IOS Tidal Package. Although these satellites are not identical to those used by Schureman(1958),differences between respective 1900-99 f values are generally quite small.

Reference:

Schureman, Paul. 1959. Manual of harmonic analysis and prediction of tides. U.S. Department of Commerce, Coast and Geodetic Survey, Special Publication No.98 U.S. Government Printing Office, Washington. 316pp.

Node factor f for July 1 of each year, 1900 to 2050

Constituents

Year Q1 O1 P1 K1 N2 M2 S2 K2
1900 0.959 0.950 1.002 0.973 1.017 1.014 0.999 0.916
1901 0.904 0.891 1.007 0.934 1.020 1.025 0.999 0.835
1902 0.861 0.844 1.011 0.903 1.032 1.033 0.998 0.778
1903 0.829 0.811 1.012 0.884 1.040 1.038 0.998 0.749
1904 0.810 0.803 1.011 0.882 1.034 1.038 0.998 0.748
1905 0.829 0.830 1.010 0.898 1.034 1.034 0.998 0.775
1906 0.872 0.886 1.009 0.928 1.030 1.025 0.998 0.828
1907 0.922 0.952 1.006 0.966 1.013 1.014 0.999 0.904
1908 0.989 1.011 1.001 1.005 1.004 1.002 1.000 0.995
1909 1.064 1.061 0.995 1.042 0.994 0.991 1.001 1.091
1910 1.130 1.113 0.993 1.073 0.976 0.980 1.001 1.179
1911 1.190 1.158 0.993 1.095 0.970 0.971 1.002 1.251
1912 1.212 1.178 0.991 1.109 0.968 0.965 1.002 1.299
1913 1.187 1.176 0.988 1.113 0.959 0.964 1.002 1.316
1914 1.155 1.170 0.990 1.107 0.966 0.966 1.002 1.299
1915 1.122 1.156 0.994 1.092 0.976 0.970 1.001 1.249
1916 1.079 1.116 0.996 1.068 0.979 0.980 1.001 1.170
1917 1.045 1.053 0.997 1.036 0.994 0.993 1.000 1.073
1918 1.005 0.989 1.000 0.997 1.009 1.007 1.000 0.972
1919 0.947 0.931 1.005 0.957 1.014 1.018 0.999 0.880
1920 0.892 0.874 1.010 0.921 1.027 1.028 0.998 0.809
1921 0.841 0.824 1.011 0.894 1.037 1.035 0.998 0.764
1922 0.804 0.801 1.011 0.881 1.034 1.038 0.998 0.747
1923 0.807 0.813 1.011 0.887 1.037 1.036 0.998 0.757
1924 0.840 0.857 1.011 0.909 1.035 1.030 0.998 0.794
1925 0.885 0.913 1.008 0.942 1.020 1.021 0.998 0.855
1926 0.953 0.968 1.003 0.981 1.011 1.010 0.999 0.936
1927 1.033 1.025 0.998 1.020 1.002 0.999 1.000 1.029
1928 1.105 1.086 0.996 1.055 0.982 0.987 1.001 1.123
1929 1.168 1.138 0.994 1.082 0.975 0.976 1.002 1.208
1930 1.195 1.164 0.991 1.102 0.971 0.969 1.002 1.274
1931 1.178 1.173 0.988 1.112 0.960 0.965 1.002 1.312
1932 1.158 1.180 0.990 1.112 0.964 0.963 1.002 1.317
1933 1.138 1.175 0.993 1.102 0.972 0.966 1.002 1.285
1934 1.106 1.139 0.994 1.084 0.973 0.974 1.001 1.221
1935 1.083 1.085 0.994 1.056 0.987 0.986 1.001 1.132
1936 1.049 1.029 0.998 1.021 1.001 0.999 1.000 1.031
1937 0.991 0.972 1.003 0.981 1.006 1.011 1.000 0.933
1938 0.927 0.908 1.007 0.942 1.021 1.022 0.999 0.850
1939 0.862 0.848 1.009 0.909 1.034 1.032 0.998 0.790
1940 0.809 0.811 1.011 0.887 1.033 1.037 0.998 0.757
1941 0.796 0.808 1.012 0.882 1.038 1.037 0.998 0.750
1942 0.816 0.834 1.013 0.894 1.039 1.033 0.998 0.770
1943 0.852 0.876 1.010 0.921 1.025 1.027 0.998 0.815
1944 0.918 0.926 1.004 0.956 1.019 1.018 0.999 0.883
1945 1.000 0.987 1.000 0.996 1.009 1.007 1.000 0.969
1946 1.075 1.055 0.998 1.034 0.990 0.994 1.001 1.064
1947 1.140 1.111 0.996 1.066 0.981 0.982 1.001 1.157
1948 1.171 1.144 0.991 1.091 0.975 0.973 1.002 1.238
1949 1.164 1.166 0.989 1.107 0.962 0.967 1.002 1.296
1950 1.156 1.185 0.990 1.113 0.964 0.962 1.002 1.321
1951 1.148 1.186 0.992 1.109 0.969 0.963 1.002 1.310
1952 1.129 1.157 0.992 1.097 0.967 0.970 1.002 1.262
1953 1.117 1.112 0.992 1.074 0.980 0.980 1.001 1.185
1954 1.092 1.067 0.996 1.043 0.993 0.991 1.001 1.090
1955 1.034 1.013 1.001 1.006 0.999 1.003 1.000 0.990
1956 0.964 0.945 1.005 0.966 1.015 1.016 0.999 0.899
1957 0.890 0.878 1.007 0.929 1.028 1.026 0.999 0.826
1958 0.824 0.832 1.010 0.899 1.030 1.033 0.998 0.776
1959 0.797 0.814 1.013 0.884 1.038 1.036 0.998 0.753
1960 0.801 0.819 1.014 0.885 1.041 1.036 0.998 0.755
1961 0.825 0.844 1.011 0.903 1.030 1.032 0.998 0.783
1962 0.885 0.887 1.006 0.933 1.025 1.025 0.999 0.836
1963 0.965 0.949 1.003 0.971 1.017 1.014 0.999 0.911
1964 1.040 1.020 1.001 1.011 0.997 1.002 1.000 1.003
1965 1.105 1.079 0.997 1.047 0.988 0.989 1.001 1.101
1966 1.141 1.119 0.992 1.077 0.981 0.979 1.001 1.193
1967 1.144 1.153 0.990 1.099 0.966 0.970 1.002 1.267
1968 1.150 1.184 0.991 1.110 0.965 0.963 1.002 1.313
1969 1.154 1.191 0.992 1.113 0.967 0.962 1.002 1.322
1970 1.147 1.169 0.990 1.106 0.964 0.966 1.002 1.293
1971 1.148 1.136 0.991 1.089 0.974 0.974 1.002 1.232
1972 1.130 1.101 0.995 1.063 0.986 0.984 1.001 1.147
1973 1.073 1.051 0.999 1.029 0.991 0.996 1.000 1.050
1974 1.001 0.983 1.002 0.991 1.007 1.008 1.000 0.955
1975 0.922 0.915 1.004 0.951 1.022 1.020 0.999 0.871
1976 0.848 0.863 1.009 0.916 1.026 1.029 0.998 0.806
1977 0.809 0.830 1.013 0.892 1.036 1.034 0.998 0.766
1978 0.797 0.814 1.014 0.882 1.042 1.037 0.998 0.751
1979 0.806 0.819 1.011 0.890 1.033 1.035 0.998 0.762
1980 0.856 0.852 1.008 0.913 1.030 1.030 0.998 0.798
1981 0.930 0.912 1.006 0.947 1.023 1.021 0.999 0.860
1982 1.000 0.982 1.003 0.987 1.005 1.009 1.000 0.944
1983 1.065 1.042 0.999 1.025 0.996 0.997 1.000 1.041
1984 1.107 1.090 0.994 1.060 0.987 0.985 1.001 1.141
1985 1.120 1.136 0.992 1.087 0.971 0.974 1.001 1.228
1986 1.138 1.176 0.993 1.104 0.968 0.965 1.002 1.291
1987 1.155 1.189 0.992 1.112 0.967 0.962 1.002 1.320
1988 1.160 1.175 0.989 1.111 0.961 0.964 1.002 1.313
1989 1.173 1.155 0.990 1.100 0.969 0.970 1.002 1.270
1990 1.163 1.130 0.994 1.079 0.979 0.977 1.002 1.199
1991 1.108 1.085 0.997 1.051 0.983 0.988 1.001 1.110
1992 1.036 1.019 0.999 1.015 1.000 1.001 1.000 1.014
1993 0.956 0.955 1.002 0.976 1.015 1.013 0.999 0.923
1994 0.879 0.900 1.007 0.937 1.020 1.023 0.999 0.845
1995 0.831 0.854 1.012 0.906 1.033 1.031 0.998 0.789
1996 0.804 0.817 1.013 0.886 1.041 1.036 0.998 0.756
1997 0.798 0.805 1.011 0.882 1.034 1.038 0.998 0.750
1998 0.834 0.826 1.010 0.896 1.034 1.035 0.998 0.770
1999 0.897 0.877 1.009 0.925 1.029 1.027 0.999 0.817
2000 0.959 0.942 1.006 0.962 1.012 1.017 0.999 0.890
2001 1.022 1.002 1.000 1.002 1.004 1.005 1.000 0.982
2002 1.068 1.057 0.996 1.040 0.995 0.993 1.001 1.083
2003 1.092 1.114 0.994 1.072 0.977 0.980 1.001 1.180
2004 1.122 1.162 0.994 1.095 0.972 0.969 1.001 1.258
2005 1.151 1.180 0.991 1.109 0.969 0.964 1.002 1.306
2006 1.169 1.176 0.988 1.113 0.960 0.964 1.002 1.319
2007 1.193 1.170 0.989 1.108 0.966 0.966 1.002 1.296
2008 1.189 1.154 0.993 1.093 0.974 0.972 1.002 1.243
2009 1.137 1.114 0.995 1.069 0.976 0.981 1.001 1.167
2010 1.068 1.054 0.996 1.038 0.993 0.993 1.001 1.076
2011 0.991 0.996 1.000 1.000 1.008 1.005 1.000 0.981
2012 0.914 0.941 1.006 0.961 1.014 1.016 0.999 0.893
2013 0.861 0.884 1.010 0.924 1.029 1.026 0.998 0.821
2014 0.822 0.831 1.011 0.896 1.038 1.034 0.998 0.772
2015 0.801 0.802 1.011 0.882 1.034 1.038 0.998 0.749
2016 0.821 0.809 1.011 0.886 1.037 1.037 0.998 0.752
2017 0.868 0.848 1.011 0.906 1.034 1.032 0.998 0.783
2018 0.918 0.902 1.008 0.939 1.019 1.024 0.999 0.842
2019 0.976 0.960 1.002 0.978 1.012 1.013 0.999 0.926
2020 1.026 1.022 0.998 1.018 1.002 1.000 1.000 1.024
2021 1.060 1.088 0.997 1.053 0.984 0.986 1.001 1.125
2022 1.102 1.140 0.995 1.081 0.978 0.975 1.001 1.214
2023 1.142 1.165 0.991 1.101 0.972 0.968 1.002 1.279
2024 1.173 1.173 0.988 1.112 0.960 0.965 1.002 1.312
2025 1.206 1.179 0.990 1.112 0.964 0.964 1.002 1.311
2026 1.208 1.172 0.992 1.103 0.970 0.968 1.002 1.278
2027 1.159 1.137 0.993 1.085 0.970 0.975 1.002 1.217
2028 1.095 1.086 0.994 1.058 0.985 0.986 1.001 1.135
2029 1.024 1.037 0.998 1.024 1.000 0.997 1.000 1.042
2030 0.951 0.983 1.004 0.985 1.007 1.008 0.999 0.947
2031 0.896 0.918 1.008 0.946 1.023 1.020 0.998 0.863
2032 0.849 0.853 1.009 0.911 1.034 1.030 0.998 0.797
2033 0.815 0.812 1.011 0.888 1.033 1.037 0.998 0.757
2034 0.818 0.804 1.012 0.881 1.038 1.038 0.998 0.744
2035 0.844 0.825 1.012 0.892 1.038 1.036 0.998 0.760
2036 0.879 0.866 1.009 0.917 1.024 1.029 0.998 0.804
2037 0.931 0.919 1.004 0.953 1.019 1.020 0.999 0.874
2038 0.983 0.985 1.001 0.994 1.010 1.007 1.000 0.966
2039 1.026 1.057 0.999 1.032 0.992 0.993 1.000 1.066
2040 1.077 1.113 0.996 1.065 0.984 0.981 1.001 1.162
2041 1.128 1.144 0.992 1.090 0.976 0.973 1.002 1.240
2042 1.170 1.164 0.989 1.106 0.963 0.967 1.002 1.292
2043 1.213 1.183 0.990 1.113 0.963 0.964 1.002 1.313
2044 1.219 1.183 0.992 1.110 0.967 0.965 1.002 1.301
2045 1.174 1.154 0.991 1.097 0.965 0.971 1.002 1.259
2046 1.117 1.115 0.992 1.076 0.979 0.979 1.001 1.191
2047 1.055 1.075 0.997 1.046 0.993 0.989 1.001 1.103
2048 0.988 1.023 1.002 1.009 0.999 1.000 1.000 1.006
2049 0.935 0.954 1.005 0.970 1.016 1.013 0.999 0.912
2050 0.885 0.883 1.007 0.931 1.029 1.025 0.999 0.832
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