1366 
A. Boesch and S. Müller-Navarra: Reassessment of long-period constituents for tidal predictions 
Ocean Sei., 15,1363-1379,2019 
www.ocean-sci.net/15/1363/2019/ 
Table 2. Sets of angular velocities that have been used with the HRoI. See Sect. 2 for a description of the columns. 
Doodson 
“ft 
m N r 
e 
sr 
1 
tdOAn- 1 ) 
Name 
Set l a 
Set 2 b 
This work 
ZZZZAZ 
0 
0 
0 
i 
0.0022064 
0.0548098 
X 
X 
X 
ZZZAZZ 
0 
0 
1 
0 
0.0046418 
0.1153082 
X 
ZZZBZZ 
0 
0 
2 
0 
0.0092836 
0.2306165 
X 
ZZAYZZ 
0 
1 
-1 
0 
0.0364268 
0.9048862 
X 
ZZAZZZ 
0 
1 
0 
0 
0.0410686 
1.0201944 
Sa 
X 
X 
X 
ZZBXZZ 
0 
2 
-2 
0 
0.0728537 
1.8097724 
X 
X 
X 
ZZBZZZ 
0 
2 
0 
0 
0.0821373 
2.0403886 
Ssa 
X 
X 
X 
ZAXZZZ 
1 
-2 
0 
0 
0.4668792 
11.5978420 
X 
X 
X 
ZAXAZZ 
1 
-2 
1 
0 
0.4715211 
11.7131503 
MSm 
X 
X 
X 
ZAYXZZ 
1 
-1 
-2 
0 
0.4986643 
12.3874200 
X 
ZAYZZZ 
1 
-1 
0 
0 
0.5079479 
12.6180365 
X 
ZAYAAZ 
1 
-1 
1 
1 
0.5147961 
12.7881545 
X 
ZAZYYZ 
1 
0 
-1 
-1 
0.5421683 
13.4681129 
X 
X 
ZAZYZZ 
1 
0 
-1 
0 
0.5443747 
13.5229227 
Mm 
X 
X 
X 
ZAZZYZ 
1 
0 
0 
-1 
0.5468101 
13.5834211 
X 
X 
ZAZZZZ 
1 
0 
0 
0 
0.5490165 
13.6382309 
X 
X 
X 
ZAZZAZ 
1 
0 
0 
1 
0.5512229 
13.6930407 
X 
X 
X 
ZAZAZZ 
1 
0 
1 
0 
0.5536583 
13.7535391 
X 
ZABYZZ 
1 
2 
-1 
0 
0.6265120 
15.5633115 
X 
X 
ZABBAZ 
1 
2 
2 
1 
0.6426438 
15.9640460 
X 
ZBVBZZ 
2 
-4 
2 
0 
0.9430421 
23.4263005 
X 
ZBWZZZ 
2 
-3 
0 
0 
0.9748271 
24.2158785 
X 
X 
X 
ZBXZYZ 
2 
-2 
0 
-1 
1.0136894 
25.1812631 
X 
X 
X 
ZBXZZZ 
2 
-2 
0 
0 
1.0158958 
25.2360729 
MSf 
X 
X 
X 
ZBXZAZ 
2 
-2 
0 
1 
1.0181022 
25.2908827 
X 
X 
ZBXAZZ 
2 
-2 
1 
0 
1.0205376 
25.3513811 
X 
X 
ZBYZZZ 
2 
-1 
0 
0 
1.0569644 
26.2562673 
X 
ZBZXZZ 
2 
0 
-2 
0 
1.0887494 
27.0458453 
X 
X 
X 
ZBZYZZ 
2 
0 
-1 
0 
1.0933912 
27.1611535 
X 
X 
X 
ZBZZYZ 
2 
0 
0 
-1 
1.0958266 
27.2216520 
X 
X 
ZBZZZZ 
2 
0 
0 
0 
1.0980330 
27.2764618 
Mf 
X 
X 
X 
ZBZZAZ 
2 
0 
0 
1 
1.1002394 
27.3312716 
X 
X 
X 
ZCVAZZ 
3 
-4 
1 
0 
1.4874168 
36.9492232 
Sv2 
X 
X 
X 
ZCWYZZ 
3 
-3 
-1 
0 
1.5192018 
37.7388011 
X 
X 
ZCXYYZ 
3 
-2 
-1 
-1 
1.5580641 
38.7041858 
X 
X 
ZCXYZZ 
3 
-2 
-1 
0 
1.5602705 
38.7589956 
SN 
X 
X 
X 
ZCXYAZ 
3 
-2 
-1 
1 
1.5624769 
38.8138054 
X 
X 
ZCXZZZ 
3 
-2 
0 
0 
1.5649123 
38.8743038 
X 
X 
X 
ZCXAZZ 
3 
-2 
1 
0 
1.5695541 
38.9896120 
MStm 
X 
X 
X 
ZCZWZZ 
3 
0 
-3 
0 
1.6331241 
40.5687675 
X 
ZCZYZZ 
3 
0 
-1 
0 
1.6424077 
40.7993844 
Mfm 
X 
X 
X 
ZDUZZZ 
4 
-5 
0 
0 
1.9907229 
49.4519514 
X 
X 
X 
ZDVZZZ 
4 
-4 
0 
0 
2.0317915 
50.4721458 
2SM 
X 
X 
X 
ZDXXZZ 
4 
-2 
-2 
0 
2.1046452 
52.2819182 
X 
X 
ZDXZZZ 
4 
-2 
0 
0 
2.1139288 
52.5125347 
MSqm 
X 
X 
X 
ZDXZAZ 
4 
-2 
0 
1 
2.1161352 
52.5673444 
X 
ZDZZZZ 
4 
0 
0 
0 
2.1960661 
54.5529235 
X 
X 
X 
ZETAZZ 
5 
-6 
1 
0 
2.5033126 
62.1852961 
X 
X 
X 
ZEVYZZ 
5 
-4 
-1 
0 
2.5761662 
63.9950685 
2SMN 
X 
X 
X 
ZEVZZZ 
5 
-4 
0 
0 
2.5808080 
64.1103767 
X 
ZEVAZZ 
5 
-1 
1 
0 
2.5854499 
64.2256849 
X 
ZEXYZZ 
5 
-2 
-1 
0 
2.6583035 
66.0354573 
X 
X 
ZFTZZZ 
6 
-6 
0 
0 
3.0476873 
75.7082187 
X 
X 
X 
ZEVZZZ 
6 
-4 
0 
0 
3.1298246 
77.7486076 
X 
X 
X 
ZHRZZZ 
8 
-8 
0 
0 
4.0635830 
100.9442917 
X 
X 
X 
Number of partial tides in 
set of constituents 
44 
43 
39 
a Set 1 was probably used until the year 1969, see also Table 3 in Horn (1960). ^ Set 2 was probably used from 1970 until 2019, see also 
appendix E in Goflinet (2000), Table 5 in Müller-Navarra (2013) includes co — 23.4263005° In but this angular velocity has never been included 
in calculations for BSH tide tables or the tide calendars.