USNO Circular 179 - U.S. Naval Observatory

90 NUTATION SERIES
Term
i j= 1
Fundamental Argument Multipliers Mi,j 2 3 4 5 6 7 8 9 10 11 12 13 14
∆ψ Coefficients
S ˙S i
i
C
∆ɛ Coefficients
′ i
C ˙C i
i
S ′ i
′′ ′′ ′′ ′′ ′′ ′′
121 0 0 0 0 0 0 0 0 0 0 3 2 -2 2 -0.0000438 0.0000000 0.0000000 0.0000188 0.0000000 0.0000000
122 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -0.0000390 0.0000000 0.0000000 0.0000205 0.0000000 0.0000000
123 0 0 0 0 0 0 0 0 0 -1 0 2 2 0 0.0000639 -0.0000011 -0.0000002 -0.0000019 0.0000000 0.0000000
124 0 0 0 0 0 0 0 0 0 2 1 2 0 2 0.0000412 0.0000000 -0.0000002 -0.0000176 0.0000000 -0.0000001
125 0 0 0 0 0 0 0 0 0 1 1 0 0 1 -0.0000361 0.0000000 0.0000000 0.0000189 0.0000000 0.0000000
126 0 0 0 0 0 0 0 0 0 1 1 2 0 1 0.0000360 0.0000000 -0.0000001 -0.0000185 0.0000000 -0.0000001
127 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0.0000588 0.0000000 -0.0000003 -0.0000024 0.0000000 0.0000000
128 0 0 0 0 0 0 0 0 0 1 0 -2 2 0 -0.0000578 0.0000000 0.0000001 0.0000005 0.0000000 0.0000000
129 0 0 0 0 0 0 0 0 0 -1 0 0 2 2 -0.0000396 0.0000000 0.0000000 0.0000171 0.0000000 0.0000000
130 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0.0000565 0.0000000 -0.0000001 -0.0000006 0.0000000 0.0000000
131 0 0 0 0 0 0 0 0 0 0 1 0 -2 1 -0.0000335 0.0000000 -0.0000001 0.0000184 0.0000000 -0.0000001
132 0 0 0 0 0 0 0 0 0 -1 0 2 -2 2 0.0000357 0.0000000 0.0000001 -0.0000154 0.0000000 0.0000000
133 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0.0000321 0.0000000 0.0000001 -0.0000174 0.0000000 0.0000000
134 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 -0.0000301 0.0000000 -0.0000001 0.0000162 0.0000000 0.0000000
135 0 0 0 0 0 0 0 0 0 1 0 2 -1 2 -0.0000334 0.0000000 0.0000000 0.0000144 0.0000000 0.0000000
136 0 0 0 0 0 0 0 0 0 1 -1 0 2 0 0.0000493 0.0000000 -0.0000002 -0.0000015 0.0000000 0.0000000
137 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0.0000494 0.0000000 -0.0000002 -0.0000019 0.0000000 0.0000000
138 0 0 0 0 0 0 0 0 0 1 0 2 1 2 0.0000337 0.0000000 -0.0000001 -0.0000143 0.0000000 -0.0000001
139 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0.0000280 0.0000000 -0.0000001 -0.0000144 0.0000000 0.0000000
140 0 0 0 0 0 0 0 0 0 1 0 0 -2 2 0.0000309 0.0000000 0.0000001 -0.0000134 0.0000000 0.0000000
141 0 0 0 0 0 0 0 0 0 -1 0 2 4 1 -0.0000263 0.0000000 0.0000002 0.0000131 0.0000000 0.0000001
142 0 0 0 0 0 0 0 0 0 1 0 -2 0 1 0.0000253 0.0000000 0.0000001 -0.0000138 0.0000000 0.0000000
143 0 0 0 0 0 0 0 0 0 1 1 2 -2 1 0.0000245 0.0000000 0.0000000 -0.0000128 0.0000000 0.0000000
144 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0.0000416 0.0000000 -0.0000002 -0.0000017 0.0000000 0.0000000
145 0 0 0 0 0 0 0 0 0 -1 0 2 -1 1 -0.0000229 0.0000000 0.0000000 0.0000128 0.0000000 0.0000000
146 0 0 0 0 0 0 0 0 0 -2 0 2 2 1 0.0000231 0.0000000 0.0000000 -0.0000120 0.0000000 0.0000000
147 0 0 0 0 0 0 0 0 0 4 0 2 0 2 -0.0000259 0.0000000 0.0000002 0.0000109 0.0000000 0.0000001
148 0 0 0 0 0 0 0 0 0 2 -1 0 0 0 0.0000375 0.0000000 -0.0000001 -0.0000008 0.0000000 0.0000000
149 0 0 0 0 0 0 0 0 0 2 1 2 -2 2 0.0000252 0.0000000 0.0000000 -0.0000108 0.0000000 0.0000000
150 0 0 0 0 0 0 0 0 0 0 1 2 1 2 -0.0000245 0.0000000 0.0000001 0.0000104 0.0000000 0.0000000
151 0 0 0 0 0 0 0 0 0 1 0 4 -2 2 0.0000243 0.0000000 -0.0000001 -0.0000104 0.0000000 0.0000000
152 0 0 0 0 0 0 0 0 0 -1 -1 0 0 1 0.0000208 0.0000000 0.0000001 -0.0000112 0.0000000 0.0000000
153 0 0 0 0 0 0 0 0 0 0 1 0 2 1 0.0000199 0.0000000 0.0000000 -0.0000102 0.0000000 0.0000000
154 0 0 0 0 0 0 0 0 0 -2 0 2 4 1 -0.0000208 0.0000000 0.0000001 0.0000105 0.0000000 0.0000000
155 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0.0000335 0.0000000 -0.0000002 -0.0000014 0.0000000 0.0000000
156 0 0 0 0 0 0 0 0 0 1 0 0 1 0 -0.0000325 0.0000000 0.0000001 0.0000007 0.0000000 0.0000000
157 0 0 0 0 0 0 0 0 0 -1 0 0 4 1 -0.0000187 0.0000000 0.0000000 0.0000096 0.0000000 0.0000000
158 0 0 0 0 0 0 0 0 0 -1 0 4 0 1 0.0000197 0.0000000 -0.0000001 -0.0000100 0.0000000 0.0000000
159 0 0 0 0 0 0 0 0 0 2 0 2 2 1 -0.0000192 0.0000000 0.0000002 0.0000094 0.0000000 0.0000001
160 0 0 0 0 0 0 0 0 0 0 0 2 -3 2 -0.0000188 0.0000000 0.0000000 0.0000083 0.0000000 0.0000000
161 0 0 0 0 0 0 0 0 0 -1 -2 0 2 0 0.0000276 0.0000000 0.0000000 -0.0000002 0.0000000 0.0000000
162 0 0 0 0 0 0 0 0 0 2 1 0 0 0 -0.0000286 0.0000000 0.0000001 0.0000006 0.0000000 0.0000000
163 0 0 0 0 0 0 0 0 0 0 0 4 0 2 0.0000186 0.0000000 -0.0000001 -0.0000079 0.0000000 0.0000000
164 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -0.0000219 0.0000000 0.0000000 0.0000043 0.0000000 0.0000000
165 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0.0000276 0.0000000 0.0000000 0.0000002 0.0000000 0.0000000
166 0 0 0 0 0 0 0 0 0 0 0 2 -4 1 -0.0000153 0.0000000 -0.0000001 0.0000084 0.0000000 0.0000000
167 0 0 0 0 0 0 0 0 0 0 -1 0 2 1 -0.0000156 0.0000000 0.0000000 0.0000081 0.0000000 0.0000000
168 0 0 0 0 0 0 0 0 0 0 0 0 4 1 -0.0000154 0.0000000 0.0000001 0.0000078 0.0000000 0.0000000
169 0 0 0 0 0 0 0 0 0 -1 -1 2 4 2 -0.0000174 0.0000000 0.0000001 0.0000075 0.0000000 0.0000000
170 0 0 0 0 0 0 0 0 0 1 0 2 4 2 -0.0000163 0.0000000 0.0000002 0.0000069 0.0000000 0.0000001
171 0 0 0 0 0 0 0 0 0 -2 2 0 2 0 -0.0000228 0.0000000 0.0000000 0.0000001 0.0000000 0.0000000
172 0 0 0 0 0 0 0 0 0 -2 -1 2 0 1 0.0000091 0.0000000 -0.0000004 -0.0000054 0.0000000 -0.0000002
173 0 0 0 0 0 0 0 0 0 -2 0 0 2 2 0.0000175 0.0000000 0.0000000 -0.0000075 0.0000000 0.0000000
174 0 0 0 0 0 0 0 0 0 -1 -1 2 0 2 -0.0000159 0.0000000 0.0000000 0.0000069 0.0000000 0.0000000
175 0 0 0 0 0 0 0 0 0 0 0 4 -2 1 0.0000141 0.0000000 0.0000000 -0.0000072 0.0000000 0.0000000
176 0 0 0 0 0 0 0 0 0 3 0 2 -2 1 0.0000147 0.0000000 0.0000000 -0.0000075 0.0000000 0.0000000
177 0 0 0 0 0 0 0 0 0 -2 -1 0 2 1 -0.0000132 0.0000000 0.0000000 0.0000069 0.0000000 0.0000000
178 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 0.0000159 0.0000000 -0.0000028 -0.0000054 0.0000000 0.0000011
179 0 0 0 0 0 0 0 0 0 0 -2 0 2 0 0.0000213 0.0000000 0.0000000 -0.0000004 0.0000000 0.0000000
180 0 0 0 0 0 0 0 0 0 -2 0 0 4 1 0.0000123 0.0000000 0.0000000 -0.0000064 0.0000000 0.0000000
181 0 0 0 0 0 0 0 0 0 -3 0 0 0 1 -0.0000118 0.0000000 -0.0000001 0.0000066 0.0000000 0.0000000
182 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0.0000144 0.0000000 -0.0000001 -0.0000061 0.0000000 0.0000000
183 0 0 0 0 0 0 0 0 0 0 0 2 4 1 -0.0000121 0.0000000 0.0000001 0.0000060 0.0000000 0.0000000
184 0 0 0 0 0 0 0 0 0 3 0 2 2 2 -0.0000134 0.0000000 0.0000001 0.0000056 0.0000000 0.0000001
185 0 0 0 0 0 0 0 0 0 -1 1 2 -2 1 -0.0000105 0.0000000 0.0000000 0.0000057 0.0000000 0.0000000
186 0 0 0 0 0 0 0 0 0 2 0 0 -4 1 -0.0000102 0.0000000 0.0000000 0.0000056 0.0000000 0.0000000
187 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 0.0000120 0.0000000 0.0000000 -0.0000052 0.0000000 0.0000000
188 0 0 0 0 0 0 0 0 0 2 0 2 -4 1 0.0000101 0.0000000 0.0000000 -0.0000054 0.0000000 0.0000000
189 0 0 0 0 0 0 0 0 0 -1 1 0 2 1 -0.0000113 0.0000000 0.0000000 0.0000059 0.0000000 0.0000000
190 0 0 0 0 0 0 0 0 0 0 0 2 -1 1 -0.0000106 0.0000000 0.0000000 0.0000061 0.0000000 0.0000000
191 0 0 0 0 0 0 0 0 0 0 -2 2 2 2 -0.0000129 0.0000000 0.0000001 0.0000055 0.0000000 0.0000000
192 0 0 0 0 0 0 0 0 0 2 0 0 2 1 -0.0000114 0.0000000 0.0000000 0.0000057 0.0000000 0.0000000
193 0 0 0 0 0 0 0 0 0 4 0 2 -2 2 0.0000113 0.0000000 -0.0000001 -0.0000049 0.0000000 0.0000000
194 0 0 0 0 0 0 0 0 0 2 0 0 -2 2 -0.0000102 0.0000000 0.0000000 0.0000044 0.0000000 0.0000000
195 0 0 0 0 0 0 0 0 0 0 2 0 0 1 -0.0000094 0.0000000 0.0000000 0.0000051 0.0000000 0.0000000
196 0 0 0 0 0 0 0 0 0 1 0 0 -4 1 -0.0000100 0.0000000 -0.0000001 0.0000056 0.0000000 0.0000000
197 0 0 0 0 0 0 0 0 0 0 2 2 -2 1 0.0000087 0.0000000 0.0000000 -0.0000047 0.0000000 0.0000000
198 0 0 0 0 0 0 0 0 0 -3 0 0 4 0 0.0000161 0.0000000 0.0000000 -0.0000001 0.0000000 0.0000000
199 0 0 0 0 0 0 0 0 0 -1 1 2 0 1 0.0000096 0.0000000 0.0000000 -0.0000050 0.0000000 0.0000000
200 0 0 0 0 0 0 0 0 0 -1 -1 0 4 0 0.0000151 0.0000000 -0.0000001 -0.0000005 0.0000000 0.0000000
201 0 0 0 0 0 0 0 0 0 -1 -2 2 2 2 -0.0000104 0.0000000 0.0000000 0.0000044 0.0000000 0.0000000
202 0 0 0 0 0 0 0 0 0 -2 -1 2 4 2 -0.0000110 0.0000000 0.0000000 0.0000048 0.0000000 0.0000000
203 0 0 0 0 0 0 0 0 0 1 -1 2 2 1 -0.0000100 0.0000000 0.0000001 0.0000050 0.0000000 0.0000000
204 0 0 0 0 0 0 0 0 0 -2 1 0 2 0 0.0000092 0.0000000 -0.0000005 0.0000012 0.0000000 -0.0000002
205 0 0 0 0 0 0 0 0 0 -2 1 2 0 1 0.0000082 0.0000000 0.0000000 -0.0000045 0.0000000 0.0000000
206 0 0 0 0 0 0 0 0 0 2 1 0 -2 1 0.0000082 0.0000000 0.0000000 -0.0000045 0.0000000 0.0000000
207 0 0 0 0 0 0 0 0 0 -3 0 2 0 1 -0.0000078 0.0000000 0.0000000 0.0000041 0.0000000 0.0000000
208 0 0 0 0 0 0 0 0 0 -2 0 2 -2 1 -0.0000077 0.0000000 0.0000000 0.0000043 0.0000000 0.0000000
209 0 0 0 0 0 0 0 0 0 -1 1 0 2 2 0.0000002 0.0000000 0.0000000 0.0000054 0.0000000 0.0000000
210 0 0 0 0 0 0 0 0 0 0 -1 2 -1 2 0.0000094 0.0000000 0.0000000 -0.0000040 0.0000000 0.0000000