150 



U. S. COAST AND GEODETIC SUEVEY. 



Table 13, using the year of observations, together with item (1), as 

 argument. 



Form 194, harmonic analysis {-fig. 29). — This form is based, pri- 

 marily, upon formulas (316), (317), (324), and (325) and is designed 

 for the computations of the first approximate values of the epochs 

 (k) and the amplitudes [H) of the harmonic constants. 



Form 194 



COUT AND GEODITIC SUIVKY 



TIDES: HARMONIC ANALYSIS. 



!)i„t!^ Korro, Calif. orgla.. 



Comjxmml IL_ Smaiigim^S.19. Fel>A.._ J.?. .Q Lmglh 0/ , 



Lai SK.22.'JI.. 



165..... 



Long 1?0.:..51.'W.. 



Timt Mer J.20.! .W„. 



Hourly Meanc (rem Form W2. 



(1) HoursOtoU L.3.:-0S. 



(2) Hoars 12 to 23 5 • 18 



(3)-a>-t2) 



<4;'«La5l 5 values of 

 (3) rovarsed 



2.121 ...2-..02 . .2,.2.5. ..2...8.4. 



Z g9 3- 12 2.51 2 -83 



..5-53 

 3.48 



..4r..55L..4...56j...4...2.5.J...3.,76., 

 4 45I 4.49! 4.19 3.67 

 0. OSI CO?! 0.06 0.09 



(S)-(l)+(2) 



(6)- Last half Of (5).. 



..6-.^.6.l., 

 7.01 1 



:.20. ..4,41 ..4....14., ...4...56 ...5.- 

 ■ 21 8.98 9 X)5 e.44| 



9.051 8.44 I 7 .431 



-.o.-.ip 

 -ft-oi.. 



-Q.-.U. 

 -0.03 

 6.62 



.Q...0.6. 

 0.05 



(3)-(4) 



-Q.;Q55 



-0..-.021. 

 .Q.,017 



rQ.l.Q. 

 -0-23 

 T0.-.25. 

 rQ-1.7- 

 -0.14 



..0..-.Q.58. 

 .050 



-0;.-04. 

 0.05 



-0...1Q0 

 .-0.-.222 

 ....0--.199 

 -Q...120 

 -Q.-.07jO 

 -0-010 



.-fl.-.D35 

 -D.-llO 

 ..0021 

 1). 00 

 .-0.-042 

 -0.050 



.^-.o.-aoo 

 :-o-.ifi3 



-0.-.120 

 .rO.-.lAO 



.-Qr.02fi 



-.0....75. 

 -3--0.1 

 .r4-_S7. 

 .t4-91. 

 .-5.88, 

 -1.76 



.rl..505 



-3.958 

 .r4...9.iQ 

 -3.360 

 -0.880 



-0.-.750 

 -2.-.6Q7 

 -2. .285 

 0.000 

 -1...94.Q 

 -1.524 



-14.615 



12 ^- .-Q.:Q3d 



(i8)x(a<) 



m±m_ 



inXM" 



(28)X(31) I OH-HV) 



0.000 



-1.760 



tQ.750 



0.000 

 ..4-57il 



0.000 

 rMSQ 



0.00 



13. 27 



.i&.ii 



13-59 



IS...!?. 



i5...6.6 



15. 10 



Q.oe 



.0...43L. 

 0.29 



.0.855 

 0.251 



.Q...Q8fl 

 ..Q...20.5 

 ■ MO 1-0.145 



26...46 

 .2.6...41 

 P.6. 49 



22.87.1 -.500 

 •22.940i -500 



2.6M.Q 

 rXmd5 

 l.'^45 



121.- ....0.£.0.6 



12e^ ...0.-14.Q 



.0.04,0 



..-.ao.6.0 



{" is in 1st quadrant when we h»ve -k 

 t' Is In 2d quadrant when wo baTe + 



i2i.- ..-0063 12ft-.. .0.010 



b quadraDt wben we have ~i and +c. 



_M_ 



JlL 



Jh. 



(l8)-Ioe.l2l. 



(M)wlog.l2e 



(40)-(38)-C30)-!og. tm. r' _ 



(41)- t'l for boglmunc of tbe scries.. 

 (42)- local V.+u (From Form 214) . 

 (4a)-(41)+(42)-.' 



e...5..5.6.SQ 

 9.-..6.53.94 

 .6.-.6.9a.36 

 ....17.7.-14 

 ....3a6.-.05 

 J43. 19 



1...1.6.47.4. 

 .0.:.5..5.a0.e. 

 .0.-..8.g.&SB. 

 ....2.6.I:.52. 

 .4.6,-..84. 



.9.-.411.6.2 

 e.-.3.9.7..9.4. 

 i-..0.1.?..6.8. 

 ....2.7.5..-53. 

 .7.0.^26. 



9..-.7.,8.24..7 

 9.-.1.4.61..3. 



9.14613 

 .8.'? 7 81 5 



. 6 3 63 4 

 ...76.99 



,....9.?..£.8. 



.Q:.3.6.7.? 8 



113.20 

 140. 52 



-..SS.e.B.fi 



•.Q.o.o.o.D 



.83885 

 278.25 



308.36 



545 .79 



170 .67 I 253. 72 



..1S7.36 

 105. 61 



(44)-l0E. sto. r. or_ 



(45)- log. cos. f 



(4t)-(38)-(44),or(39)-(15) 



(47)-loE.(aagmonting(actor+12) 



(48)- log. (reciprocal ot 12) for compooeat S 



(49)-(te)+«7),or ( I O) I ( I t) ..l08. R' 



(60)- log. factor f (From Form 244'a). 



(51)-(49)+(S0)-log.fl'. 



(52)- natural munber from (49J-fi' 



(M)— natnrel number from (51)- H* 



^.Sl 9.9.4.6. 

 .?:.S..5.6..4e. 



.9.-.9..9.5.2.3. 



9..-.99.7.5.7. 



9.-.S.e..e.7.J: .9...9.fe.S.3.8. 



.9.-..9.9..5.4..8. 



8.02082 



8.....7.8(3.a4. 

 .?....8.85 6 .. 



1..-.1.69.5.1 



8 . 9 2 S 3 



Q...0.9.5.3.Q 

 9.-..9.9..?.2.. 



9.-..41..5.6.5 



8. 9 J 2 4 

 8.02082 



8. .';4 5 6 9 

 .9....9.8..9.7.. 



9...7..?..3.7..6.9-. 1.8.27 5 



8.7346 aL8.:.l.4.9.1.7 

 9.-..9.e..S.3... 1 9-..9.7.?'4 



8.,..66.§.14 



0.060 

 ""0.046 "" 



O.=.0..8.fl5.0. 

 1.245 

 i .226 



8....8.S.5.5.9 



....Q...fi22.... 



6.022 



8....7..2 .0.9,1 .8....1.2.8..5.7 

 .Q.-.654'.... ...6 ..0.14 



6.053 1 6. big 



1.8.4.3.8.7 



.00332 

 .92082 



,.84.6.6.9. 

 L.9.7.£fi... 

 ^.e.15.2.9 

 a 007 

 0. 667 • 



Compiited by L . P. Dlspey 



, Feb. 25. 1921 . 



(Data.') 



Verified by L« A« .AlEfi.rt.- 



, F9,b,25.192J,>. 

 (DaU.) 



Provisions are made for obtaining the diurnal, semidurnal, terdi- 

 urnal, quarter-diurnal, sixth-diurnal and eighth-diurnal components, 

 but only such items need be computed as are necessary for the par- 

 ticular components sought. 



For the principal lunar series M^, M., M3, M„ Mg, and M-g, com- 

 pute all items of the form. 



For the principal solar series S^, So, S4, and Sg, items (14), (16), 

 (33), (35), and (37) may be omitted. 



