Astronomisches Jahrbuch
für
1 9 1 1 .
D e r S a m m l u n g B e r l i n e r a s t r o n o m i s c h e r J a h r b ü c h e r e i n h u n d e r t u n d s e c h s u n d d r e i f s i g s t e r B a n d .
Berliner
Astronomisches J ahrbuch
fü r
19 11
mit Angaben für die Oppositionen der Planeten (1) — (635)
für
1909 .
H erau sgegeben von dem
K ö n iglicllen A str onomi sehen Rechen in st i tu t
unter L e i tu n g von
J. B a u s c h i n g e r .
B iblioteka Jagielloriska
001
B e r l i n
F erd. Dümnalers Verlagsbuchhandlung
( Kommissionsverlag)1 9 0 9
.1001921044
' K X k 0 0
vww.
CRACOVIENSlS
Königliches Astronom isches Recheninstitut zu r Herausgabe des B erliner Jahrbuchs in Berlin S W . (58, Lindenstr. 91.
Di r e k t o r : Dr . J. B a u s c h i n g e r , U n iversitä tsp ro fesso r.
O b servato ren : P . L e h m a n n , P ro fe s s o r, F . K . O i n z e l , P ro fesso r, A . B e r b e r i c h , P ro fesso r,
D r. J . P e t e r s , Dr . J. R i e m , Dr. A. S t i c h t e n o t h . H ü lfsa rb e ite r: D r. H . C l e m e n s ,
Dr. P. Y. N e u g e b a u e r .
M itarb eiter: D r. P . N e u g e b a u e r , P ro fesso r.
V
I n h a l t .
Seite V o r w o r t ... VII Zeit- und F e s t r e c h n u n g ...IN R e d u k t io n s e le m e n t e ... I
S on n e n e p h e m e rid e ... 2
Rechtwinkelige S o n n e n k o o r d in a t e n ... 22
M o n d e p h e m e r id e ... 42
Ephemeride des Mondkraters Hosting- A ... 82
Lage des Mondäquators und M o n d b e w e g u n g ... 87
Auf- und U ntergang der Sonne u n d ' des Mondes für B e r l i n ...89
Geozentrische Orter der Planeten: Merkur, Y enus, Mars, Jupiter, Saturn, ' Uranus und N e p t u n ... 94
Heliozentrische Örter derselben Planeten und der E r d e ...144
Mittlere S t e r n ö r t e r ...149
Scheinbare S t e r n ö r t e r ...176
R e d u k t i o n s t a f e l n ...376
F in ste rn is se ... ■ . . 402
S te m b e d e c k u n g e n ...406
Erscheinungen der J u p i t e r s t r a b a n t e n ... 416
Lage und Gröfse des S a tu r n s r in g e s ...422
Erscheinungen der S a t u r n s t r a b a n t e n ... 424
K o n stella tio n en ...452
Hülfstafeln M o n d l i b r a t i o n ... 454
Bruchteile des J a h r e s ...457
Julianische P e r i o d e ...459
Verw andlung der Mittl. Zeit in S t e r n z e it...461
Verw andlung der Sternzeit in Mittl. Z e i t ... 462
Verw andlung der Dezirnalteile des Tages in Stund en, Minuten, Sekunden und u m g e k e h r t...463
Hülfsgröfsen zur Berechnung der P rä ze ssio n ... 465
Hülfsgröfsen zur Übertragung mittlerer Polsternörter von verschiedenen Äquinoktien auf 1 9 1 1 . 0 ... 466
Koordinaten der S te r n w a r te n ...467
Bahneleinentc der kleinen P la n e t e n ... (2)
Oppositionen und genäherte geozentrische Orter der Planeten (1) — (635) und (654) für 1 9 0 9 ... (37)
Sammlung von Oppositionsephemeriden kleiner Planeten für 1909 . . . (49)
Nachweisungen über die Planeten (1) — ( 6 5 9 ) ... (84)
E r lä u t e r u n g e n ...[1]
V I
B e r i c h t i g u n g e n .
J a h r b u c h 1 9 1 0 .
Seite 169 Nr. 728 Jährl. Veränd. in Dekl. lies + 6 " .5 4 5 anstatt + 6 .5 7 5 . 170 » 759 Jährl. Veränd. in A R . lies i"-958o anstatt + i a.958o.
Die in den Jahrbüchern 1908, 1909 und 1910 gegebenen Ephomeriden des Sterns 6 1 1 y Apodis bedürfen einer Verbesserung in A R . Die so berichtigten Ephemeriden sind auf dem beiliegenden B latt noch einmal vollständig abgedruckt.
Vfl
V o r w o r t .
N a c h den B es ch lüssen der P a ris e r K o n fe r e n z v o m M a i 1896 (Conference internationale des etoiles fondamentales. P r ochs- Verbaux.
Paris
1896
) sind im J a h r b u c h v o m J a h r g a n g 1 9 0 1 an d u r c h w e g e in gefü h rt:die P r ä z e s s i o n s - G r ö f s e n n ach S. N e w c o m b (A str.
Papers Vol. V III. P a r t i ) , die N u t a t i o u s - K o u s t a u t e 9".21, die A b e r r a t i o n s - K o n s t a n t e 20".47, die S o n n e n - P a r a l l a x e 8".80;
ferner sind in allen E p h e m e r i d e n der S o n n e , der P la neten und der F i x s t e r n e die k u rzp erio d is ch en, vo n der M o n d l ä n g e a b h ä n g ig e n N u t a t io n s g lie d e r w e g g e l a s s e n ; a u s g e n o m m e n v o n dieser a l lg e m e i
nen R e g e l sind nur die E p h e m e r i d e n der P o l s t e r n e , die von T a g zu T a g fo rts c h reit en; in diesen ist w o h l das allen S te rn e n g e m e i n same N u t a t io n s g l ie d f = — o " . i 8 6 5 sin 2 ( T - f - o ”. o 6 i 8 sin ( ( [ — P ’ ) w e g g e l a s s e n , die ü b r ig e n mit der T a n g e n t e der D e k l . m u lt ip li
zierten G l i e d e r sind je d o c h beibeh alt en . D a s J a h r b u c h g ib t ü b rig en s die M i tt e l an die H a n d , die w e g g e l a s s e n e n G l i e d e r n a ch träg li ch a n z u b r i n g e n , w o rüb e r die » E r lä u te r u n g e n « e in z u sehen sind.
D i e mittleren O r te r der 925 Ste rn e des n euen A u w e r s s c h e n F u n d a m e n t k a l a t a l o g e s sind nach der B e a r b e it u n g desselben von D r . J . P e t e r s ( V e r ö ffe n tl ic h u n g e n des K . A s tro n o m isc h e n R e c h e n instituts N r. 33) ber e c h n e t wor de n.
V III
A u s f ü h r l ic h e E p h e m e r i d e n der sch ei nbaren Ö r t e r w e rd e n für 573 S te rn e g eb o ten, dar unter 18 von T a g zu T a g fortschreitend e der e ige n tlic h e n Polsterne.
D e n a n g e g e b e n e n E i g e n b e w e g u n g e n li e gt die N e w c o m b s c h e P r ä z e s s io n s - K o n s t a u t e zu G r u n d e .
F ü r die P l a n e t e n sind fo lg e n d e T a f e l n b e n u tz t w o r d e n : S o n n e : T a f e l n v o n N e w c o m b ,
M e r k u r : T a f e l n von N e w c o m b , V e n u s : T a f e l n von N e w c o m b , M a r s : T a f e l n vo n N e w c o m b , J u p i t e r : T a f e l n vo n H i l l , S a t u r n : T a f e l n v o n H i l l , U r a n u s : T a f e l n vo n N e w c o m b , N e p t u n : T a f e l n v o n N e w c o m b .
D i e S c h i e f e d e r E k l i p t i k ist nach N e w c o m b a n g e no m m e n.
F ü r den H a l b m e s s e r d e r S o n n e ist die bisherige K o n s t a n t e nach A u w e r s ( 1 5 ' 59 .63) beibeh alten, für den H a l b m e s s e r d e s M o n d e s ist so w o h l in der E p h e m e r i d e ( S . 4 2 — 8 1 ) als bei der B e r e c h n u n g der F in s t e r n is s e u nd S te r n b e d e c k u n g e n der von J . P e t e r s ermittelte W e r t 15' 32 " .5 9 , en ts p rech end der P a r a lla x e
57' 2".2 7 , be n u tz t ( A . N . N r. 32 97) .
D i e N e i g u n g d e s M o n d ä q u a t o r s g e g e n die E k l i p t i k ist nach F . P l a y n ( S e l e n o g r a p h i s c h e K o o r d in a t e n ) a n geno m m en.
A l s V e r g r ö f s e r u n g s f a k t o r für den E r d s c h a t t e n bei M o n d finsternissen ist nach J . H a r t m a n n 1 a n g e n o m m e n worden.
50 ö
IX
Z e i t - a n d F e s t r e c h n u n g 1 9 1 1 .
Das Jahr 1 9 1 1 entspricht dein
Jahr 6624 der Julianischen Periode und dem Jahr 7419 — 7420 der Byzantinischen Are.
G r e g o r i a n is c h e r oder N e u e r K a le n d e r .
Ju lia n is c h e r oder A l t e r K a le n de r.
Goldene Zahl 12 12
Epakten . . X X X X II
Sonnenzirkel 16 16
Römer Zinszahl 9 9
Sonntagsbuchstab A B
Septuagesima Febr. 12 Febr. 6
Aschermittwoch . März 1 Febr. 23
I. Quatember März 8 März 2
Ostersonntag April 16 A pril 10
Himmelfahrt Mai 25 Mai 19
Pfingstsonntag . Juni 4 Mai 29
II. Quatember . Juni 7 Juni 1
III. Quatember . Sept. 20 Sept. 21
I. Advent Dez. 3 Nov. 27
IV. Quatember . Dez. 20 Dez. 14
K a l e n d e r der M o h a m m e d a n e r . 1329 (G em einjahr)
Moharrem 1
... .
19 11 Jan. 2 Safar 1 .... . .
» Febr. IR e b i-el-a w w el 1
. . . .
» März 2R eb i-el -accher 1
. . . .
» April ID schem äd i-el-aw w cl 1
.
» April 30D schem ädi-el-accher 1
. . . . .
» Mai 30ltedscheb I
. . .
» Juni 28Schabän I ... » Juli 28 Ramadan 1 ... A ug. 26 Scbewwäl 1 ... » Sept. 2 5 Dsn ’l-k a d e I ...
. .
. v Okt. 24 Dsü ’l-hedsche 1 .... .
. » Nov. 231330 (Sch altjah r)
llobarrem 1 D e z . 2 2
X
K a l e n d e r der J u d e n .
5671 Tebet 1 ! 10 Schebat 1
A dar 1
x3 14 15
Nisan 1
15 x6 21 22
Ijar 1
18
Sivan 1
6
7 Tham uz 1 17A b 1
9
Elul 1
cf:n, (Ü b e rz ä h lig e s
\ G em ein jan r Tischri 1
2
3
10 15 16 21 22
2 3
Marcheschwan 1 K islev 1 25
Tebet 1
10 Schebat 1
D ie m it * b e ze iclm e te n F e s tta g e w e r d e n s tr e n g g e fe ie rt.
Fasten. Belagerung Jerusalems
F asten -E sth er Purim . . . . Schuschan - Purim
P a ssah -A n fa n g * . Zweites Fest*
Siebentes Fest * • Achtes Fest*
Lag - B ’omer
W ochenfest* . Zweites F est*
Fasten. Tem peleroberung .
Fasten. Tem pelverbrennung .
N e u j a h r s f e s t * ...
| Zweites F e s t * ...
F a s te n - G e d a lja h ...
V e r s ö h n u n g s f e s t * ...
Laubhüttenfest * ...
Zweites F e s t * ...
P a l m c n f e s t ...
Versam m lung oder Laubhüttenende*
Gesetzesfreude * ...
T e m p e lw e ih e ...
Fasten. B elagerung Jerusalems
» 10
3°
» März 1
13 14 15 30
» A pril 13 14
*9 20 29
» Mai 16
28
» Juni 2
3 27
» Juli J 3 26
» A ug. 3 25
» Sept. 23
» 24
» 25
» Okt. 2
! 3
1 4
15 23 Nov. 22 Dez. 16 2 2 31 IQI2 Jan. 20
R E D U K T I O N S E L E M EN TE.
11911 Schiefe der Ekliptik
m it t l e r e w a h r e
Präzession in Länge
Nutation in Länge
Aberration der Sonne
Parallaxe der Sonne
23°
J a n . 0 27 3 "11 27 8.92 — 0.14 —-11.89 20.82
8-95
10 3.09 9.06 + 1.24 11-36 20.82 8.95
20 3.08 9.26 2.61
IO-93
20.808-94
3° 3.07
9 49 3
-9
8 10.63 20.78 8.93F e b r . 9 3.06
9-73
5.36 10.48 20.75 8.9219 27 3.04 27 9.95 + 6.74 — 10.50 20.70 8.90
M ä r z 1 3-03 10.15 8.12 10.65 20.65 8.88
11 3.02 10.29 9.49 10.91 20.60 8.86
21 3.00 10.36 10.87 11.22 20.55 8.83
3
1 2.99 10.38 12.24 11.53 20.49 8.81A p r i l 10 27 2.98 27 10.33 + 13 .6 2 - n . 7 9 20.43 8.78
20 2.97 10.24 15.00 n .9 7 20.37 8.76
30 2.95 10.10 16.37 12.02 20.32
8-73
M a i 10 2.94 9.96 I
7-75
n .9 3 20.27 8.7120 2.93 9.82 19.12 11.7c 20.23 8.70
. 3
° 27 2.91 27 9.71 +20.50 - 1 1 . 3 4 20.19 8 . 6 8J n n i 9 2.90 9.65 21.88 10.89 20.16 8.67
*9
2.89 9.64 23.25 10.38 20.14 8 . 6 629 2.88 9.68 24.63 9.86 20.13 8 . 6 6
J u l i 9 2.86
9-79
26.019-37
20.13 8 . 6 6*9
27 2.85 27 9.95 + 27.38 8.95 20.14 8 . 6 629 2.84 10.14 28.76 8.64 20.16 8.67
A u g . 8 2.82 10.36 30.13 8.46 20.19 8 . 6 8
18 2.81 10.57 3L51 8.42 20.22 8.69
28 2.80 10.76 32.88 8.51 20.27 8.71
S e p t . 7 27 2.79 27 10.92 +34.26 — 8.70 20.32
8-73
17
2.77 11.03 35.64 8.97 20.37 8.7627 2.76 11.07 37.01 9.28 20.43 8.78
O k t . 7 2.75 11.04
38-39
9.56 20.49 8.81O 2.74 10.96 39.76 9.78 20.55 8.83
27 27 2.72 27 10.83 + 4 1 .1 4 — 9.88 2 0. Ö I 8 . 8 6
N o v . 6 2.71 10.67 42.52 9.84 20.66 8 . 8 8
16 2.70 10.51 43.89 9.64 20.70 8.90
26 2.68 10-36
45-^7
9.29 20.74 8.92D e z . 6 2.67 10.25 46.64 8.81 20.78 8.93
16 27 2.66 27 10.20 +48.02 — 8.23 20.80 8.94
26 2.65 10.22 49.40 7.61 20.82 8.95
36 2.63 10.30 50.77 7.02 20.82
8-95
Mittlere Schiefe der Ekliptik für 1910.0 = 23° 27' 3"-58.
2
SONNE 1911.
M i t t l e r e r B e r l i n e r M i t t a g .
M o n a t s u n d W o c h e n t a g
Z e itg le ic h u n g
M. Z t . — W . Z t. Scheinb. A R . Scheinb. Dekl. D iff.
0 Sa ni s
+ 2 49.41 18 ni 8 38 48.60 I So 3 18.27 18 43 14.02 2 Mo 3 46-83 18 4 7 39 -J 4 3 Di 4 15.06 18 52 3-93 4 Mi 4 42.92 18 56 28.35 5 Do + 5 IO-37 *9 0 52.36 6 F r 5 37-39 J 9 5 15-93 7 Sa 6 3.94 J 9 9 39-°4 8 So 6 30.00 ! 9 14 1.66 9 Mo 6 55-54 29 18 23.76 10 Di + 7 20.52
1
9 22 45.301 1 Mi 7 44-93 T9 27 6.27 12 Do 8 8.76 *9 31 26.66 13 F r 8 31.98 J 9 35 46-44 14 Sa 8 54-57 T-9 40 5.58
*5 So + 9 16.51 *9 44 24.08 16 Mo 9 3 7-80 19 48 41.93 17 Di 9 58-43 T9 52 5 9-1 1 18 Mi . 10 18.36 19 57 15.60 T9 Do 10 37.59 20 1 31.39 20 Fr + 1 0 56.12 2 0 5 46.48 21 Sa 11 13.93 2 0 10 0.85 22 So 1 1 31.00 2 0 14 14.48 23 Mo 11 47.33 2 0 18 27.36 24 Di 12 2.90 2 0 22 39.49 25 Mi + 12 17.70 2 0 2 6 50.85 26 Do 12 31.73 2 0 31 i-43 27 F r 12 44.96 2 0 35 11.22 28 Sa 12 57.39 2 0 39 20.21 29 So 13 9.02 2 0 43 28.40 30 Mo + 1 3 19.84 2 0 4 7 35-77 3i Di 13 29.84 2 0 5 t 42 .3 2 1 Mi !3 39.01 2 0 55 48-05 2 Do *3 47-35 2 0 59 52-95 3 F r 13 54.86 21 3 5 7-01 4 Sa + 1 4 1.53 21 8 0.24 5 So 14 7.36 21 12 2.63 6 Mo 14 12.36 2 r 16 4.18 7 Di 14 16.52 21 20 4.90 8 Mi 14 19.86 2 1 24 4.80
D u r c h g . D a u e r S t . - Z t .
Halbm.
J a n .
F e b r . '
25.42 4 *5-12 4 24-79 4 24-42 4 24.01 4 23.57 4 23.11 4 22.62 4 22.10 4 21.54 4 20.97 4 20.39 4 I 9-78 4 19-J 4 4 18.50 4 17-85 4 17.18 4 16.49 4 15-79 4 I5-C9 4 14-37 4 i 3-63 4 12 4 12-13 4 i i - 36 4 10.
9-79
8.19 7-37 6.55 5-73 4.90 4.06 3-23 2-39 i -55 0.72
- 2 3 9 9.7 23 4 49.7 23 O 2.0 22 54 46.7 22 49 4.0
— 22 42 54.I 22 36 17.2 22 29 13.5 22 21 43.I 22 13 46.3
— 22 5 23.4 21 56 34.7 21 47 20.4 21 37 40.8 2 1 27 36.I
— 21 17 6.6 21 6 12.6 20 54 54.5 20 43 12.5 20 31 6.9
— 20 18 38.O 20 5 46.2 X9 52 31.8 19 38 55.I 19 24 56.5
— 19 10 36.4 18 55 55.0 18 40 52.8 18 25 30.3 18 9 47.7 - ! 7 53 45-5 17 37 24.1 j 7 20 43.8
1 7 3 45.2 16 46 28-7
— 16 28 54.6 16 1 1 3.4 15 52 55.6 15 34 31.6 15 15 51.7
4 20.0 4 47-7 5 15-3 5 4^-7 6 9.9 6 36.9 7 3-7 7 3°-4 756-8 8 22.9 8 48.7 9 14-3 9 39-6 10 4.7 10 29.5 10 54.0 11 18.1 11 42.0 12 5.6 12 2 12 51.8
*3 J4-4 13 36-7 13 58.6 14 20.1 14 41-4 15 2.2 15 22-5 15 42.6 16 16 21.4 16 40.3 16 58.6 17 i6-5 17 34-i 17 5 1-2 18 7.8 l8 24.O 18 39-9
141.95 141.8 7 141.79 141.70 14 1.6 1 141.50 141.38 141.25 14 1.12 140.98 140.83 140.68 140.53 140.37 140.20 140.02 139.84 I39-6 5 139.46 139.26 139.06 138.85 138.64 138.43 138.21 J37-99 137.77 137-54 137.32 I37-°9 136.87 136.64 136.41 136.18 J35-95
!35-72 I35-49 135.26 135.03 134-81
16 15.91 16 15.92 16 15.92 16 15.93 16 15.92 16 15.92 16 15.91 16 15.9c 16 15.88 16 15.85 16 15.82 16 15.79 16 15.75 16 15.70 16 15.64 16 15.58 16 15.52 16 15.44 16 15.36 16 15.28 16 15.19 16 15.09 16 14.99 16 14.89 16 14.78 16 14.66
SONNE 1911. 3
M i t t l e r e r B e r l i n e r M i t t a g .
M o n a ts -
und Steinzeit Mittleres Ä qu. 19 1 1.0
Lg. Rad. v.D iff.
N ut. ß in o”.oi
_ JahresLatr L a n g e D iff. B r e ite d\ d t
J a n . o 0 18 35 59.19h ni 3 278° 55 24.81
6i 10.64 —c.48 9.9926955 46 28
+
3
- 8i 1 18
39 55-75
279 56 35.45 61 10.6510.56 10.39
— 0.56 9.9926909 + 1 0 - 6 2 2 18 43 52.31 280 57 46.10
61 —0.61 9.9926881
II + 1 3
- 3 3 3
18 47 48.87 281 58 56.6661 - 0 . 6 3 9.9926870
6
+ 1 3
H - i4 4
18 51 45.43 283 0 7.05 61 10.13 — 0.62 9.9926876 + 1 0+ 5
— 0.58
24
5 5
18 55 41.99 284 1 17.18 61 9-799-39 8.92 8.39
9.9926900
43
63 85 108
+
3
+ 8 6 6 18 59 38.54 285 2 26.9761 — 0.52 9.9926943 -
5 + 9
7 7
19 3 35.10 286 3 36.36 61 -0.43 9.9927006- J 3
-1-8 8 8 19 7 31.66 287 4 45.286i — 0.32 9.9927091 — 20 + 6
9 9
19 1 1 28.22 288 5 53.67 — 0.19 9.9927199 - 2 3 + 2 19 15 24.7861 7.84 *
3
2IO 10 289 7 1.51
61 7.27 6.70 6.15 5-63
— o
-°5
9.9927331r57
184
— 21 — 2
i i 1 1 19 19 21.34 290 8 8.78
61 + 0 - 08 9.9927488 — 16 - 6
12 12 19 23 17.90 291 9 15.48
61 + 0 -2 1 9.9927672 t
212 -
7
- 8J 3
14
*3
1419 27 14.45 19 31 II.O I
292 10 21.63 293 1 1 27.26 61
+ o -
3
2 + o -4
°9.9927884 9.9928125 241
H-
4 + 1 4
- 9
— 8 61 5-15
9.9928395
1 7 0
* 5
J 5 x9 35 7-57
294 12 32.41 614
-7
14
-3
1+ 0 .4 5
298 326
+ 2 2
- 5
16 16 19 39 4.13 295 13 37.1261 +
0-47
9.9928693 + 2 6 — 117 19 43 0.68 296 14 41.43 61
3-93 3
-5
6+ 0 .4 6 9.9929019 354 379
+ 2 7
+ 3
18 18 19 46 57.24 297 15 45.3661 + 0 .4 2 9.9929373 -1-22 -
4-6
* 9
*9
19 50 53.80 298 16 48.92+ ° -3 5
9.9929752 +14
+ 861 3.19
+ 0 .2 6 9.9930156 404 20 20 19 54 50.36 299 17 52.11
61 2.80 427
45
°+
4 + 9
21 21 19 58 46.92 300 18 54.91
61 2.38 + 0 .1 5 9.9930583 — 6
+ 7
22 22 20 2 43.47 301 19 57.29 61 I.92 + 0 .0 3 9.993103347
°- 1 3 + 5
23 23 20 6 40.03 302 20 59.21 61 1.42 — 0.09 9.9931503 4905°9
- 1 7
-4-1 24 24 20 10 36.59 303 22 0.6361 0.86 — 0.22 9.993 !993 - 1 8
- 3
2525
20 14 33.15 304 23 1.49 fir n.22 -0 .3 4 9.9932502 526543
558
- 1 5 - 7
2627
2627
20 18 29.70 20 22 26.26
305 24 1.72 306 25 1.27 60 59.55
60 58.81 - 0 .4 5 - 0 . 5 5
9.9933028
9-9933571
-
7
+ 1- 9
28 28 20 26 22.82 307 26 0.08- 9
60 57.98 60 57.06
— 0.62 9.9934129 JJ
573
588
+
7 - 7
29 29 20 30 19.37 308 26 58.06 — 0.67 9.9934702 + 1 2—4 3
o 30 20 34 15.93 309 27 55.12 60 56.05 — 0.69 9.9935290602 + 1 4 0 i n , - . 3 ;
3
132
20 38 12.48 20 42 9.04
310 28 5 1.1 7 3 11 29 46.12 60 54.95 60 « .7 6
- 0 .6 8
— 0.65
9.9935892 9.9936507 615
620 + 1 1 +
5
+ 4 + 7
233
20 46 5.60 312 30 39.88 60 52.49 - 0 . 5 9 9.9937136 7643 — 2
+ 9
334
20 50 2.163*3 3
132-37
60 51.12 - 0 . 5 1 9.9937779 658 — 11+ 9
435
20 53 58.71 3 14 32 23.49604Q .68 — 0.40 9.9938437
674 - 1 8
+ 7
5 36 20 57 55.27 315 33 13 .1760 48.18 — 0.27 9 .9 9 3 9 m
690 - 2 3
+ 3
637
2 1 1 51.823
l634
i-35
60 46.64 — 0.13 9.9939801 708 — 22 — 17
8
38 39
2 1 5 48.38 21 9 44.94
3 17 34 47-99 3
1835 33-°7
60 45.08 0.00
■
4
-0.12
9.9940509
9.9941236
7 2 7- 1 9
— 10
- 5
- 7
4 SONNE 1911.
M i t t l e r e r B e r l i n e r M i t t a g .
M o n a ts - u n d W o c h e n ta g
Z e it g le ic h u n g
M. Z t . — W . Z t. Scheinb. A ll. Scheint). Dekl.
D u r c h g .- D a u e r S t . - Z t .
Halbm.
F e b r . 7
M ä r z 9 10 11 12 13 14 15 16
*7 18 19 20 21 22 23 24 25 26 27 28 1 2 3
4
5 6 7 8 9 10 11 12 33 14 35 16 J 7 18Di Mi Do F r Sa So Mo Di Mi Do F r Sa So Mo Di Mi Do Fr Sa So Mo Di Mi Do Fr Sa So Mo Di Mi Do Fr Sa So Mo Di Mi Do Fr Sa
+ 1 4 16.52 14 19.86 14 22.39 14 2 4 .11 14 25.03 + 1 4 25.16 14 24.52 14 23.13 14 21.00 14 18 .14 + 1 4 14.56
14 10.29 14 5.34 33 59-72 33 53-45 +-13 46.53
33 3^-99 13 30.83 13 22.07 13 12.73 + 1 3 2.82
12 52.36 12 4 1.37 12 29.85 12 17.81 1-12 5.26
I I 52.23 I I 38.74
I I 2 4 .8 0 n 10.43 + 1 0 55.65
10 40.48 10 24.94 10 9.05
9 52-84 9 36 -33 9 39-55 9 2.52 8 45.26 8 27.80
2 1 20 4.90 2 1 24 4.80 2 1 28 3.88 21 32 2.15 2 1 35 59.63 21 39 56.32 2 1 43 52.24 23 47
47-43
2 1 51 41.83 23 5535-52
2 1 59 28.50 22 3 20.79 22 7 12.39 22 1 1 3.32 22 14 53.60 22 18 43.24 22 22 32.25 22 26 20.64 22 30 8.44 22 33 55.66 22 37 42.31 22 4 1 28.40 22 45 13.96 22 48 58.99 22 52 43.50 22 56 27.51 23 o 11.04 23 3 54.10 23 7 36.71 23 1 1 18.90 23 15 0.67 23 18 42.05 23 22 23.06 23 26 3.72 23 29 44.07 23 33 24.12 23 37 3.89 23 40 43.41 23 44 22.71 23 48 1.803 59-9°
3 59-°8 3 58-27 3 57-48 3 56-69 3 55-92 3 55-x7 3 54-42 3 53-69 3 52-98 3 52-29 3 51-60 3 5°-93 3 50.28 3 49-64 3 49-01 3 48-39 3 47-8o 3 47-22 3 46-65 3 46-09 3 45-56 3 45-03 3 44-5 >
3 44-oi 3 43-53 3 43-o6 3 42-61 3 42-19 3 41-77 3 41-38 3 41.01 3 40.66 3 40-35 3 40.05 3 39-77 3 39-52 3 39-3°
3 39-°9
- 1 5 34 31.6 15 15 51.7 14 56 56.4 14 37 46.2 14 18 21.4 - 1 3 58 42.4
13 38 49.7 13 18 43.6 12 58 24.5 12 37 52.8 - 1 2 17 8.9
I I 56 I3.2 1 1 35 6.1 11 13 48.0 10 52 19.2 -1 0 30 40.2
10 8 51.4 9 46 53.2 9 24 46.1 9 2 3°-4 8 40 6.5 8 17 34.9 7 54 55-9 7 32 10.0 7 9 I7-7 - 6 46 19.4
6 23 15.4 6 o 6.2 5 36 52.3 5 J 3 3 4-o - 4 50 11.6 4 26 45.6 4 3 i 6 -4 3 39 44-3 3 16 9.7 - 2 52 32.9
2 28 54.3 2 5 14.2 1 4 1 33.0 1 1 7 50.9
18 39.9 18 55.3 19 10.2 19 24.8 19 39 19 5 2 '7 20 6.1 20 19 20 31.7 20 43.9 20 55.7 21 7.1 18.1 21 28.8 21 39.0 21 21 58.2 22 7.1 22 15.7 22 23.9 22 31.6 22 39.0 22 45.9 22 52.3 22 58.3 23 4.0 23 9.2 23 13.9 23 i 8 -3 23 22-4 23 26.0 23 29.2 23 32.1 23 34.6 23 36.8 23 38.6 23 40.1 23 41.2 23 42.1
I35-0 3 134.81 I3 4-58 I3 4-36 I3 4-I4 133.92 133.70 I33-49 133.28 133.07 132.86 132.66 132.46 132.26 132.07 131.88 131.70 131.52 I3 I -34 13 1-17 131.01 130.85 130.69 130.54 130.39 130.25 130.12 I29-99 129.87 129.75 129.64 I29-53 129.43 I29-33 129.24 129.16 129.08 129.01 128.95 128.89
16 12.86 16 12.70 16 12.53 16 12.36 16 12.19 16 12.01 16 11.82 16 11.63 16 11.43 16 11.2 2 16 11.02 16 10.81 16 10.59 16 10.37 16 10.15 16 9.93 16 9.70 16 9.47 l6 9.24
l 6 Q .O I
l6 l6 l6 16 l6
SONNE 1911. 5
M i t t l e r e r B e r l i n e r M i t t a g .
M o n a ts
u n d Sternzeit Mittleres Äqu. 191 1.0
L g . R a d . v . Diff.
N ut. &
in o".oi
^ Jahrestag E in ig e Di ff. Breite d\ de
-^ ebr. 7 8
38 39
h 22 5 21 9
48.38 44-94
3I7°3 4> 47-99 3l8 35 33 -°7
60 45.08 60 43.50 6° 41.93 60 40.38 60 38.88
0.00 -f-0.12
9.9940509 9.9941236 727
748 - 1 9
— 10 - 5 - 7 9
IO 40 42
2 1 13 21 17
41.49 38.05
319 36 16.57 320 36 58.50
+ 0 .2 3 + 0 .3 1
9.9941984 9.9942754 770
792 814
0 + 1 1
- 9 - 8 i i 42 21 21 34.60 321 37 38.88 + 0 .3 6 9.9943546 + 2 0 - 6 12 43 21 25 3 1.16 322 38 17.76
60 37.42 60 36.00
+ 0 .3 8 9.9944360
827 + 2 5 - 3 J 3 44 21 29 27.72 323 38 5 5-18 + 0 .3 8 9.9945197 J /
860 + 2 6 -H i 14 45 21 33 24.27 324 39 31.18
60 34.62 60 33.26
+ 0 .3 5 9.9946057
882 4-2 4 + 5 T5 46 22 37 20.83 325 40 5.80 + 0 .2 9 9.9946939
9°4 + 1 7 4 - 8 16 47 21 41 17.38 326 40 39.06 4-0.21 9.9947843 + 7 + 9
48
60 31.94
9.9948766 923 17 2 1 45 x3-94 327 41 11.00
60 30.63 60 29.32
-4-0.10
943 960
— 2 + 8 18 49 21 49 10.49 328 4 1 41.63 — 0.02 9.9949709 — 11 + 6
*9 5° 21 53 7.05 329 42 10.95
60 28.01 — 0.14 9.9950 669 977 991
- 1 7 4 - 2 2 0 52 21 57 3.60 330 42 38.96
60 26.67 -— 0.27 9.9951646 - 1 8 — 2
21 52 22 1 0.15 3 31 43 5-6 3 - 0 . 3 9 9.9952637 — 16 - 6 56 .71
60 25.30
9.9953642 1005 22 53 22 4 3 3 2 43 3°-93 60 23.91
60 22.48
— 0.50
1017 1028
- 9 - 8 23 54 22 8 53.26 333 43 54-84 — 0.60 9.9954659 — 2 - 9 24 55 22 12 49.82 3 3 4 4 4 17-32 60 21.02 — 0.67 9.9955687
1038 4- 6 - 8 25
26 56 57
22 16 22 20
46.37 42.93
335 4 4 38-34 336 44 57.85 60 19.51
— 0.72 - 0 . 7 4
9.9956725 9.9957772 I047
+ 1 2 + 1 4
- 5
— 1
60 17.94 1054
27 58 22 24 39-48 337 45 I5-79 60 16.29 60 14.56 60 12.75 60 10.85
-0.73 9.9958826
1060 4 -1 2 + 3 28
M ä r z 1 2
59 22 28 36.04 338 45 32.08 — 0.70 9.9959886
1066 4- 8 + 6 60
61 22 32 22 36
32.59 29.14
339 45 46-64 34 0 45 59-39
— 0.64
— 0.36
9.9960952 9.9962023 1071
1075 1081
0 - 8
+ 8 + 9 3 62 22 40 25.70 341 46 10.24
60 8.86 - 0 .4 5 9.9963098 — 16 + 7
4 63 22 44 22.25 342 46 19.10 60 6.79 60 4.68 60 2.53
& 0.34
- 0 . 3 3 9.9964179 1087 I093 1100
— 22+ 5 5 64 22 48 18.81 343 4 6 25.89 — 0.20 9.9965266 - 2 3 4 -1 6 65 22 52 !5-36 34 4 46 30.57 — 0.06 9.9966359 — 21 - 3 7 66 22 56 I I . 9 I 345 4 6 33-10 -4-0.06 9.9967459
1109 - 1 3 - 7 8 67 23 0 8.47 346 46 33-44 + 0 .1 7 9.9968568 - 3 - 9
347 46 31-57 59 5s - i3
+ 0 .2 6 9.9969687 1119
9 68 23 4 5.02 59 55-93
59 53-75 59 5 1-60 59 49-5°
1129 1141 i i 53 1165
4- 7 - 9 10 69 23 8 i-57 348 46 27.50 + 0 .3 3 9.9970816 + 1 6 - 7 11 70 23 11 58-13 34 9 46 21.25 + 0 .3 6 9.9971957 + 2 3 — 4 12 72 23 J 5 54.68 350 46 12.85 + 0 .3 6 9.9973H O -1-26 0 J 3 72 23 19 5 J -23 3 51 46 2.35 -4-0.33 9.9974275 + 2 5 4 - 4
59 47-44 1179
H 73 23 23 47-79 3 5 2 45 49-79 59 45-45 59 43-5°
59 41.60 59 39-75
+ 0 .2 7 9-9975454 1192 1204 1215 1226
+ 1 9 + 7 25 74 23 27 44-34 353 45 35-24 -4-0.18 9.9976646 + 1 1 + 9 16 75 23 31 40.89 3 5 4 45 i 8 -74 + 0 .0 8 9.9977850 4- 1 + 9 27
18 76 77
23 35 23 39
37-45 34.00
355 45 o-34 356 44 40.09
— 0.04
— 0 .17
9.9979065 9.9980291
- 9 - J 5
+ 7 + 3
6
SONNE 1911.
M i t t l e r e r B e r l i n e r M i t t a g . Zeitgleichung
M. Zt. — W. Zt. Scheint». AR. Di ff. Scheint). Dekl. Diff. Durchg.- Dauer St. - Zt.
Monats
Wochentagund Halbm.
M ä r z 17 18
20 21 22 23 24 F r
25
26A p r i l 27 28 29 30
3 1
1 23 4 5
9
10 11 1213
14 15 Sa 16 17 18J9
20 21 22 23 24 25So Mo Di Mi Do Fr Sa So Mo Di
_ m s + 8 45.26
8 27.80 8 10.16
7 52-37 7 34-44
+ 7 16.396 58.25 6 40.03 6 21.76 6 3.46
+ 5 45-I 5
5 26.85 5 8.56
4 5
°-3
°4
32-09+ 4 13-95 3 55
-9
°3 37-95
3 20.11 3 2.40 + 2 44.842 27.44 2 10.23 1
53-23
1 36-46 + 1 19.93 1 3.66 o 47.68 o 32.01 o 16.67 1.67 12.97 27.23 41.0954-53
+ 0— o o o o
— I I I I I
7-55
20.13 32.25 43.90 55.083 39-c 9 3 38-92 23 44 22.71 23 48 1.80 23 5 1 4 0 . 7 2 ; ; 8;:6 23 55 I9-48 3 3g 62 23 58 58.10
O 2 36.60 o 6 15.01
0 9 53-35
o 13 31.64 o 17 9.90 O 20 48.14 o 24 26.38 o 28 4.64 o 31 42.94 o 35 21.29 o 38 59.71 o 42 38.21 o 46 16.81 o 49 55.52 o 53 34.36 0 57 13.35 1 o 52.51 1 4 31.86 1 8 11.4 1 1 1 1 5 1.19 1 15 31.21 1 19 11.50 1 22 52.08 1 26 32.97 1 30 14.18 133 55-73
1 37 37.65 1 41 19.95 1 45 2.64 1 48 45.75 1 52 29.28 1 56 13.26 1 59 57.69 23
42.59 27
27.973 38-5o 3 38-41 3 38-34 3 38-29 3 38-26 3 38-24 3 38-24 3 38-26 3 38-3°
3 38-35 3 38-42 3 38-50 3 38.60
3 38-7!
3 38-84 3 38-99 3 39-j6 3 39-35 3 39-55 3 39-78 3 4°-°2 3 40-29 3 40-58 3 40-89 3 4 *-2 i 3 41-55 3 41-92 3 42-3°
3 42-69 3 43-11 3 43-53 3 43-98 3 44-43 3 44 -9°
3 45-38
— I 4 1 33.0 I 17 50.9 O 54 8.4 o 30 25.8 - 0 6 43.4 4- o 16 58.4 0 40 39.2 1 4 18.7 1 27 56.7 1 51 32.6 + 2 15 6.1 2 38 36.9 3 2 4.6 3 25 28.7 3 48 48.9 + 4 12 4.9 4 3 5 i 6 -2 4 58 22.5 5 21 23.4 5 44 18.5
+ 6
7 7 -5 6 29 50.0 6 52 25.7 7 H 5 4 -2 7 3 7 1 5 -2 + 7 59 28.5 8 2 1 33.7 8 43 30.5 9 5 l 8 -5 9 26 57.5 + 9 48 27.2 10 9 47.2 10 30 57.2 10 51 57.0 11 12 46.1 + 11 33 24.3 1 1 53 51.2 12 14 6.6 12 34 10.0 12 54 1.123 4 2 .1
23
42-5
23 4 2 .6
23 42.4
23 4 1 .8
23 40.8
23 39-5 23 38.0
23 35-9 23 33-5 23 30-8 23 27.7
2 3 2 4 .I 23 20.2
23 l6 .0
23 n
-3
2 3 6 .3 2 3 0 .9
22 55-1 22 49.O
22 42 .5
22 35-7 22 2 8.5
2 2 2 1 . 0
22 I 3 .3
22 5 .2 2 1 56.8
2 1 48.O 2 1 39.O
2 1 2 9 .7
2 1 20.0 2 1 10 .0
20 59.8 20 4 9 .I
20 3
20 2 6.9
20 I 5 .4
20 3 .4
*95 1-1 128.95 128.89 128.84 128.79
!
28.75
128.71 128.68 128.66 128.64 128.63 128.62 128.62 128.63 128.64 128.66 128.68 128.71 128.75 128.79 128.84 128.89 128.95 129.02 129.09 129.16 129.24 129.32 129.41 129.50 129.60 129.70 129.81 129.92 130.03 130.15 130.27 130.39 130.52 130.65 130.7916 4.27 16 3.99 16 3.72 16 3.44 16 3.17 16 2.89 16 2.61 16 2.33 16 2.05 16 1.7 7 16 1.49 16 1.21 16 0.93 16 0.66 16 0.38 16 0 .11 15 59-83 15 59-56 15 59.29 15 59.02 15 58.76 15 58.49 15 58.22 15
57-95
15 57.68 15 57.41 15 57-15 15 56.88 15 56.61 1556 -34
15 56.07 15 55.80 1555-53
15 55-26 15 55.00 1554-73
1554-47
15 54.21 1553-95
15 53.69SONNE 1911. 7
M i t t l e r e r B e r l i n e r M i t t a g .
M o n ats u n d -
Sternzcit Mittleres Ä qu. 19 11.0
Lg. Rad. y. Diff.
Nut. d in o".oi
• la h r e s ta g L a n g e Diff. B r e it e d\ | dt
V lä rz 17 76 h m s
23
35 37.45355 45 °-34 59 39-75 59 37-93 59
36-1359 34-34
— O.O4 9.9979065
1226 -
9 + 7
18*9 77
7823 39 34.OO 23 43 30.56
356 44 40.09 357 44 18.02
— O.I7
— 0.3°
9.9980291 9.9981526
I235
I243
1250- 1 5
- 1 7
+ 3
— 1 20
79
23 47 2 7 .11358 43 54-15
— O.42 9.9982769 — 16- 5
21 80 23 51 23.66359 43
28.49 - 0 . 5 3 9.9984019 —11- 7
0 43 1.06
59 3^-57
— 0.63 9.9985275
I256
22 81 23 55 20.2159 3
o-8
i59
29-05 CQ27.28
1260 -
4 - 9
23 82 2359 i 6 -77
1 42 31.87 — 0.71 9.99865351264 1265
+
4
- 8 24 83 03 13-32
2 42 0.92 - 0 . 7 7 9.9987799 + 1 0 - 62 5 84 0
7
9-87 3 41 28.20J7
/59 25-49
— 0.80 9.9989064j 1264
+ 1 4 - 3
2685
0 1 1 6.434 4
°53-69
— 0.80 9.9990328+ 1 4
+ 159 23.68
I2^3
2 7 86 0 15 2.98
5 40 17-37
59 21.8359
>9-92 59
J7-95 59
15
-9
I- 0 . 7 7 9.999 1591
1260 + 1 0
+ 5
28 87 0 1859-53
639 39-20
— 0.71 9.9992851 12^6 +3
+ 8 29 88 0 22 56.097
3859
-12 — 0.62 9.9994107 j1251
I245
-
5 + 9
30 89 0 26 52.64 8 38 17.07 - 0 . 5 19-9995358 - * 5
+ 831 90 0 30 49.20
9 37
32-98 “0-39
9.9996603 — 21 + 6^ p ril 1 2
3
9
19 2
93
0 0 034 45-75
38 42.30 42 38.8610 36 46.77 1 1
35
58-37 12 35 7.7259
J3-79
59 11.6059 9-35 59 7-°5
— 0.26
— 0.12 + 0 .0 1
9.9997842 9.9999075 0.0000302
I239 I233
12271223
- 2 4
— 22 - 1 7
+ 2 -— 2 - 6
4 94
046 35.41 13 34 14.7759 4-73
+ 0 .1 3 0.0001525 1219 -7
- 85 95
0 50 31.96 14 33 19.50 + 0 .2 3 0.0002744 +3 - 9
54 28.52 58 25.07
15 32 21.89 16 31 21.95
59 2.39
0.0003961 0.0005176
1217 6
7
9697
0
0 59 0.06
58
57-74
5855-45
58 53.20+ 0 .3 0
+ 0 .3 4
I2*5
1214 1215 1216
+ 1 4 + 2 2
- 8
- 5
8 98 1 2 21.63 1 7 30 19.69 + 0 .3 5 0.0006390 -I-26 — 19 99
1 6 18.18 18 29 15.14 + 0 .3 3 0.0007605 + 2 5+ 3
10 100 1 10 14.73 19 28 8.3458 51.02 + 0 .2 7 0.0008821 + 2 2 + 6 0.0010038
0.0011257 1217 1 1
12 101 102
1 1
14 11.29 18 7.84
20 26 59.36 2 1 25 48.27 58 48.9I
58 46.85 -4-0.19
-fo .0 9 1219
1220 + 1 4 +
4
+ 8
+ 9 J 3
103 1 22 4.40 22 24 35.12 58 44.86 — 0.04 0.00124771222 -
5 + 7
14 104 1 26 0.95 23 23 19.98S8
42-93
— 0.17 0.0013699 1223 - 1 3+ 4
*5 I 0 5
1 2957
-5
° 24 22 2.91 — 0.30 0.0014922 - 1 7 + 1 58 41.050.0016144 1222 16 106 1
33 54
-o6
25 20 43.9658
39.23
- 0 . 4 3 1222 - 1 7- 3
17 107 1 37 50.61 26 19 23.1927.46 - 0 . 5 5 0.0017366
1220 — 12
- 7
18J 9
20108 109 110
1 1 1
4 1 4 7 .17
45 43-72
49 40.2827 18 0.65 28 16 36.40 29 15 10.46
7 j!"T'-' 58
35-75
58 34.06— 0.65 - 0 . 7 4
— 0.80
0.0018586 0.0019803 0.0021016
1217
*2I3
- 6 + 1 + 8- 9 - 9
58 32.41 —7— 0.84
1207 21 m 1
53 36 -83
30 13 42.8758 30.76 0.0022223
1201 + 1 3
—4
222 3
24 112 H 3 114
1 2 2
57 33-39
1 29.94 5 26.5031 12 13.63 32 10 42.76
33 9
IO-2 7
|58 29.13 58 27.51 58 25.90
—0.85
— 0.82 - 0 . 7 7
0.0023424 0.0024617 0.0025800
IJ93
1183 1172+ 1 4 + 1 1 +
5
0
+ 4 + 7
2 5
J I 5
2 9 23.0534 7 3
6-i7
i — 0.69 0.0026972 -3 + 9
8
SONNE 1911.
M i t t l e r e r B e r l i n e r M i t t a g .
M o n a t s
u n d Z e it g le ic h u n g
M. Z t . — W . Z t . Scheinb. A R . D iff. Scheinb. Dekl. D iff.
D u r c h g .- D a u e r Hall) m.
W o c h e n t a g S t . - Z t .
A p r i l 24 Mo
m s
— 1 43.90 2 h 3 42.59m s 3 45-38 + i 2 ° 3 4 10.0
J9 51-1 130-65 25’ 53-95 25 Di 1 55.08 2 7 27-97 3 45-87 12 54 1.1 *9 38-5 130.79 25 53-69 26 Mi 2 5.77 2 11 13.84
3 46.36 13 13 39.6
19 25.6 I3°-93 25 53-43 27 Do 2 15.96 2 15 0.20
3 46-87 13 33 5.2
19 12.2 131.07 25 53-28 28 F r 2 25.65 2 18 47.07
3 47-38
13 52 17.4
18 58.6 131.22 25 52-93 29 Sa - 2 34.83 2 22 34.45
3 47-^9 + 1 4 1 1 16.0
18 44.5 I3 I -37 25 52-69 30 So 2 43.50 2 26 22.34
3 48.40 14 30 0.5
18 30.2 13 1.52 25 52-45 M a i 1 Mo 2 51.65 2 30 10.74
3 48-92 3 49-44
14 48 30.7 18 15.5 l8 0-4
13 1.6 7 15 52.21 2
3 Di Mi
2 59.28 3 6.39
2 33 59.66 2 37 49.10
15 6 46.2 15 24 46.6
I3i-83 131.99
25 52-98 25 52-75
3 49-97 17 44.9
4 Do - 3 12.97 2 4 1 39.07 3 5°-5I 3 5I,0 5 3 5J -59
+ 1 5 42 31.5 17 29.3 17 13-3 l6 56.9
132.15 25 52-52
5F r 3 19.02 2 45 29.58 16 0 0.8 132.31 25 52-30
6 Sa 3 M-53 2 49 20.63 16 17 14.1 132.47 15 51.08 7
8 So Mo
3 29.50 3 3 3-91
2 53 12.22 2 57 4.36 3 52-I4
3 52-69
16 34 11.0 16 50 51.4 l6 4O.4
16 23.5 132.63 132.80
15 50.86 15 50.64 9 Di — 3 3 7-78 3 0 57-05
3 53-25 + 1 7 7 14.9
16 6.2 132.96 15 50.42 10 Mi 3 4I-09 3 4 5°-3°
3 53-81 1 7 23 2 1.1
15 48.8 133.13 15 50.21 11 Do 3 43-8 3 3 8 4 4 .11 3 54-38 17 39 9.9
15 31.1 J33-29 15 50.00 12 F r 3 46.01 3 12 38-49
3 54-95 17 54 41.0
15 13.1 133.46 25 49-79 1 3 Sa 3 47-62 3 16 33-44 18 9 54.1 133.62 25 49-58
3 20 28.97 3 55-53
14 54.9 14 So — 3 48.65
3 56.10 + 1 8 24 49.0
14 36.3 133-79 15 49-38 15 Mo 3 4 9-10 3 24 25.07 3 56.68
3 57.26
18 39 25.3 14 17.5
!3 58-4
133-95 25 49-27 16 Di 3 48-97 3 28 21.75 18 53 42.8 1 3 4 .11 25 48-97 17 Mi 3 48-27 3 32 I9-°I
3 57-84 19 7 4 1.2 r 3 39-1 13 19.6
134.27 25 48.77 18 Do 3 46-99 3 36 16.85
3 58-41
19 21 20.3 134.43 25 48-57 19 F r - 3 4 5 -I 4 3 40 15.26
3 58-98 + 1 9 34 39.9
12 59.7 I3 4-58 15 48.38 20
21 Sa So
3 42.72 3 39-72
3 44 14-24 3 48 13-79 3 59-554 O.II
19 47 39.6 20 0 19.1 >2 39-5
12 19.2 11 58.6
134.74 134.89
15 48.19 15 48.00 22 Mo 3 36.16 3 52 13-9° 4 0.67 20 12 38.3 135.04 25 47-82 23 Di 3 32-05 3 56 14-57 4 1.22 20 24 36.9 235-29 25 47-6 3
+ 2 0 36 14.6 11 37.7 24 Mi - 3 27-39 4 0 15.79
4 *-75 11 16.6 135-34 25 47-45
25 Do 3 22.20 4 4 17-54 4 2-^7 4 2.78
20 47 31.2 10 55.2 10 33-5 10 11.6
135.48 25 47-28 26F r 3 i 6 -49 4 8 19.81 20 58 26.4 135.62 25 47-22 27 Sa 3 10.27 4 12 22.59
4 3-27 2 1 8 59.9 I35-76 25 46-95
28 So 3 3-56 4 16 25.86 21 19 11.5 135.90 25
46-79
— 2 56.38 2 48-75
4 20 29.60 4 24 33-79
4 3-74 9 49 5
29 30
Mo
Di 4 4->9
4 4.62
+ 2 1 29 1.0 2 1 38 28.2 9 27-2
0 j.6 136.03 136.16
15 46.63 15 46.48 . 31Mi 2 40.68 4 28 38.41
4 5-°4 4 5-44 1
2 1 47 32.8 V T 8 41.8 8 18.9
136.28 25 46-34 J u n i 1
2 Do F r
2 32.19 2 23.31
4 32 43-45 4 36 48.89
2 1 56 14.6 22 4 33.5
136.40 136.51
15 46.20 25 46-07
SONNE 1911. 9
M i t t l e r e r B e r l i n e r M i t t a g .
M o n ats
u n d Sternzeit Mittleres Äqu. 19] 1.0
Lg. Rad. v. D i IT.
N u t . i n 0 "
ß
O l
J a h r e s ta g L a n g e D i ff. | B r e it e <i\ </e
A p r i l 24 114 2 h 5 26.50ni s 33° 9' 10^27
58 25.90 58 2 4.28 58 22.63
- 0 . 7 7 0.0025800
1 1 7 2
"59
" 4 5 1 1 3 0
+ 5 + 7 2 5
26 1 1 5 116
2 9 23.05 2 13 19.61
34 7 3 6-i7 3 5 6 ° - 4 5
— 0.69 - 0 . 5 9
0.0026972 0.0028131
- 3
— 12 + 9 + 9 27
28 1 1 7
I l 8
2 17 16.16 2 21 12.72
36 4 23.08 37 2 44.01 58 20.93
- 0 . 4 7
“ 0-35
0.0029276 0.0030406
- 1 9 - 2 3
+ 7
58 1 1 1 4 + 3
29 n 9 2 25 9.27 38 1 3.16
58 1 7 .3 2
58 15-43
58 13 .4 9 58 1 1 .5 0
— 0.21 0.0031520
1097 10 8 1 IO65 IO5O
- 2 3 — 1
_ . 3°
M a i 1 120 121
2 29 5.83 2 33 2.38
38 59 20.48 39 57 35-91
— 0.06 -I-0.08
0.0032617 0.0033698
- 1 9
— 11 - 5 - 7 2
3 122 123
2 36 5^-94 2 40 55-49
40 55 49.40 4 1 54 0.90
+ 0 .1 9 -I-0.27
0.0034763 0.0035813
— 1 + 1 0
- 9 - 8
58 9 .4 9 1037
4 124 2 4 4 52-05 42 52 10.39
58 7 .4 9 58 5 .5 1 58 3 .5 6
+ 0 .3 2 0.0036850 1024 1012
+ 1 9 — 6 5 125 2 48 48.60 43 50 17.88 + 0 .3 4 0.0037874 + 2 5 - 3 6 I2Ö 2 52 45.16 44 48 23.39
+o-33
0.0038886 IC02 + 2 6 + 1 7 127 2 56 4 1.72 45 46 26.9558 1 .6 6 + 0 .2 9 0.0039888
992
+ 2 4 + 5 8 128 3 0 38 -27 46 44 28.61 -I-0.21 0.0040880 + 1 6 + 8
5 7 5 9 .8 1
0.0041863 0.0042838
983
9 10
129 130
3
4 34.83 3 8 31.3947 42 28.42 48 40 26.44 5 7 58.02
57 56*3°
- l - O . I I
0.00 9 75
968
+ 7
- 3
+ 9 + 8 11
* 3 !
3 12 27.94 49 38 22.7457 54-64 5753-°7
— 0.12 0.0043806 7 959 951
— 11 + 6 12
13 132 133
3 16 24.50 3 20 21.06
50 36 17.38 51 34 10 4 5
— 0.26 - 0 . 3 9
0.0044765 0.0045716
— 16
— 17 + 2
— 2 3 24 17.61
3 28 14 .17
57 5i .58
0.0046659 0.0047593
943 14
15 134
*35
52 32 2.03 53 29 52-17 575 ° 'I 4
57 48-78 5747-49 57 46-25
- 0 . 5 1
— 0.62 934
925
915 9°4
- 1 4 - 8
— 6 - 8 16 136 3 32 10-73 54 27 40-95 — 0.71 0.0048518 — 1 - 9 17
18 137 138
3 36 7.28 3 4 0 3-84
55 25 28.44 56 23 14.69
— 0.78
— 0.82
0.0049433 0.0050337
+ 7
+ 1 3
- 8 5745-c6 - 5
— 0.83
892
19 139 3
44 0.40 57 20 59.75 5743-93 5742-^50.0051229 879 866
+ 1 5
— 1 20 140 3 4 7 56 -95 58 18 43.68 ^ 0 .8 1 0.0052108 + 1 3 + 3 21 141 3 51 5 3-51 59 16 26.535 7 4 1 .8 2 - 0 . 7 7 0.0052974 85O + 7 -1-6
22 142 3 55 5 °-°7 60 14 8.35 5 7 4° -8i — 0.70 0.0053824 833 — 1 + 8 23 143 3 59 46.62 6 1 1 1 49.16 5 7 39.82 — 0.60 0.0054657 8 14 — 10
+ 9
24 144 4 3 4 3-lS 62 9 28.98 + 857 38.82 5737-79 5736-73 5735-62
— 0.49 0.0055471 794 773 75°
72 6
- 1 7 25 145 4 7 39-74 63 7 7.80 - 0 . 3 7 0.0056265 - 2 3 + 4 26
27 28
146 147 148
4 11 36-3° 4 15 32.86 4 19 29.41
64 4 45.59 65 2 22.32 65 59 57-94
— 0.23
— 0.09 -I-0.04
0.0057038 0.0057788 0.0058514
- 2 4
— 22
— 14 0 - 4 5734-46 - 7
+ 0 .1 6
7°3
29 149 4 23 25.97 66 57 32.40 5733-25
5 7 32.00
0.0059217
67Q - 4
- 9
3° 150 4 27 22.53 67 55 5-6 5 + 0 .2 6 0.0059896 /
7
656 + 6 - 9 T ■ 31 I5I 4 31 i9-0 9 68 52 37.65
573°-72 57 29-42
+o-33
0.0060552 634613
+ 1 6
- 7
«J u m 1 152 4 35 i5-6 4 69 50 8.37 -4-0.36 0.0061186 + 2 4 - 4 2 i53 4 39 12.20 70 47 37.79 -4-0.36 0.0061799 -1-26 0
1 0
SONNE 1911.
M i t t l e r e r B e r l i n e r M i t t a g .
M o n a ts
u n d Z e itg le ic h u n g
M. Z t . — W . Z t. S c h e in b . A R . D iff. S c h e in b . D e k l. D iff.
D u r c h g .- D a u e r H a lb r a .
Wochentag S t . - Z t .
J u n i i D o
m s
— 2 3 2 . 1 9
h m s
4 3 2 4 3 - 4 5 4 5-44 m s 4 5 .8 2
+ 2 1 ° 5 6 1 4 . 6 8 18.9 7 55*8
1 3 6 4 0 1 5 4 6 . 2 0
2 F r 2 2 3 . 3 1 4 3 6 4 8 . 8 9 2 2 4 33 -5 1 3 6 . 5 1 1 5 4 6 . 0 7
3 S a 2 1 4 . 0 5 4 4 0 5 4-71 4 6.18 2 2 1 2 2 9 . 3 7 32-4 7 9-°
1 3 6 . 6 2 2 5 4 5 - 9 4 4 S o 2 4 . 4 3 4 4 5 0 - 8 9 4 6.^2 2 2 2 0 i-7 1 3 6 . 7 3 1 5 4 5 . 8 2
5 Mo 1 5 4 . 4 6 4 4 9 7 - 4 2
• jj
2 2 2 7 1 0 . 7 1 3 6 . 8 3 1 5 4 5 . 7 0
4 6.85 6 45.4
1 3 6 . 9 2 1 5 4 5 . 5 8
6 D i - 1 4 4 . 1 7 4 5 3 J4 - 2 7 4
+ 2 2 3 3 5 6 . 1 6 21.7 5 57-8
7 M i 1 3 3 - 5 6 4 5 7 2 1 . 4 3
4 7*46 2 2 40 1 7 . 8 1 3 7 . 0 1 1 5 4 5 . 4 6
8 9
D o Fr
1 2 2 . 6 6
1 n .4 8 5 5
1 2 8 . 8 9
5 3 6 - 6 3 4 7-74 4 8.00
2 2 4 6 2 2 5 1
1 5 . 6 4 9 . 4 5 33-8
5 9-8 I3 7 - ° 9 I3 7 - I 7
2 5 4 5 - 3 5 2 5 4 5 - 2 4
I O S a 1 0 . 0 4
5 9 4 4 - 6 3 2 2 5 6 5 9 . 2 1 3 7 . 2 4 1 5 4 5 . 1 4
4 8.24 4 45-6
i i So — 0 4 8 . 3 6 5 1 3 5 2 . 8 7
4 8.47 + 2 3 I 4 4 . 8 4 2 I -4
1 3 7 . 3 1 2 5 4 5 - 0 4 1 2
J 3 Mo D i
0 3 6 . 4 5 0 2 4 . 3 3
5 5
1 8 1 . 3 4 2 2 1 0 . 0 1
4 8.67 4 8.86
2 3
2 3 6 1 0
6 . 2
3 . 2 3 57-0 3 32-5 3 8-o
1 3 7 . 3 7 1 3 7 . 4 2
2 5 4 4 - 9 4 1 5 4 4 . 8 4
1 4
!5
M i D o
— 0 1 2 . 0 3 + 0 0 . 4 4
5 5
2 6 1 8 . 8 7 3 0 2 7 . 9 0 4 9-°3
2 3
2 3 1 3 1 6
3 5 - 7 4 3 - 7
T3 7 - 4 7 1 3 7 . 5 1
2 5 4 4 - 7 5 1 5 4 4 . 6 6
1 6 + 0 1 3 . 0 6 3 4 3 7 - ° 8
4 9.18 2 43-5
Fr 5
4 9 -3i 4 9.42 4 9 -5 i 4 Q-s8
+ 2 3 1 9 2 7 . 2 2 18.9 1 54.2 1 29.5 1 4-7
2 3 7 -5 5 2 5 4 4-58
i7 S a 0 2 5 . 8 1 5 3 8 4 6 - 3 9 2 3 2 1 4 6 . 1 I3 7-58 1 5 4 4 . 4 9
1 8 S o Mo
0 3 8 . 6 7 0 5 1 . 6 3
5 5
42 5 5 . 8 1 4 7 5 -3 2
23 23 23 25
40-3 9 -8
1 3 7 . 6 0 1 3 7 . 6 1
1 5 4 4 . 4 1
2 5 4 4 - 3 4
2 0 Di 1 4 . 6 5 5 5 1 1 4 . 9 0 * / j
23 2 6 1 4 . 5 1 3 7 . 6 2 1 5 4 4 . 2 7
4 9.62 ° 39-9
2 1 Mi + 1 I7-71 5 5 5 2 4 - 5 2
4 9-64 + 2 3 2 6 5 4 . 4
0 15.1 1 3 7 . 6 2 1 5 4 4 . 2 0
22D o 1 3 0 . 7 9 5 5 9 3 4- 1 6 4 Q.62 2 3 2 7 9-5 0 9.7
0 34-5 0 59-3
1 3 7 . 6 2 1 5 4 4 . 1 4
2 3 F r 1 4 3 . 8 6 6 3 4 3 - 7 9 4 9.60
4 9-54
2 3 2 6 5 9 . 8 1 3 7 . 6 1 1 5 4 4 . 0 8
24 2 5
S a So
1 5 6 . 9 0
2 9 . 8 8
6 6
7 5 3 - 3 9 1 2 2 . 9 3
2 3 2 6 2 5 . 3 2 3 2 5 2 6 . 0
2 3 7 -5 9 2 3 7 -5 7
2 5 4 4 - 0 3 25 4 3 - 9 9 1 6 1 2 . 3 8
4 9-45 1 24.1
2 6 Mo + 2 2 2 . 7 7 6
4 9 -32 + 2 3 2 4 1.9
1 48.9 2 3 7 -5 4 2 5 4 3 - 9 5 2 7 D i 2 3 5 - 5 4 6 2 0 2 1 . 7 0
4 9-17 4 9.00
2 3 22 1 3 . 0 2 + 5 2 28.2
1 3 7 . 5 0 2 5 4 3 - 9 2
2 8 M i 2 4 8 . 1 5 6 2 4 3 0 . 8 7 23 r 9 5 9 -5 1 3 7 . 4 6 1 5 4 3 . 8 9
2 9 Do 3 ° - 5 9 6 2 8 3 9 . 8 7
4 8.80 23 2 7 2 1 . 3
* J -“
3 2.7 2 3 7 . 4 1 1 5 4 3 . 8 7
3° Fr 3 I 2 -83 6 3 2 4 8 . 6 7 23 14 1 8 . 6 2 3 7 -3 5 1 5 4 3 . 8 5
J u l i 1
4 8.57 3 27-2
S a + 3 2 4 - 8 4 6 36 5 7 - 2 4
4 8.31 + 2 3 1 0 5 1 . 4
2 ^1.6 1 3 7 . 2 9 1 5 4 3 . 8 4
2So 3 3 6 - 5 9 6 4i 5 -5 5
4 8.03 2 3 6 5 9 . 8 j j
4 15*8 1 3 7 . 2 2 25 4 3 - 8 3 3 Mo 3 48-07 6 4 5 2 3 - 5 8
4 7*74 23 2 4 4 . 0
4 40.0 2 3 7 . 1 5 25 43-83 4 D i 3 5 9 -2 5 6 4 9 2 1 . 3 2
4 7*42 22 5 8 4 . 0 5 3-9
2 3 7 . 0 7 1 5 4 3 . 8 3
5 Mi 4 1 0 . 1 1 6 5 3 2 8 . 7 4 22 5 3 0.1 1 3 6 . 9 9 1 5 4 3 . 8 4
4 7-°9 5 27-8
6D o + 4 2 0 . 6 4 6 5 7 3 5 - 8 3
4 6*74 + 2 2 4 7 3 2 -3
‘i qi.6 1 3 6 . 9 0 25 43-85
7 Fr 4 3 0 . 8 2
7
1 4 2 . 5 74 6.36 22 4 1 4 0 . 7 J J 6 15.1 6 38.5
1 3 6 . 8 0 2 5 4 3 - 8 7
8S a 4 4 0 . 6 3 7 5 4 8 - 9 3 4 5*98 22 3 5 2 5 - 6 1 3 6 . 7 0 1 5 4 3 . 8 9
9 So 4 5 ° - ° 5
7
9 5 4-9i4 5-58 22 2 8 4 7 . 1
7 1.8 2 3 6 - 5 9 1 5 4 3 . 9 1
10 Mo 4 5 9 - ° 7 7 1 4 0 . 4 9 22 21 4 5 - 3 1 3 6 . 4 8 2 5 4 3 - 9 3
SONNE 1911. 1 1
M i t t l e r e r B e r l i n e r M i t t a g .
M o n a ts u n d -
Sternzeit Mittleres Äqu. 19 11.0
Lg. Rad. v. Diff.
Nut.
in 0"OIa
J a h r e s t a g L a n g e Diff. B r e it e d \ d E
J u n i i 152
h m s
4 35 x5-6 4 69° 50 8.37 5729-4* 57 28.13 57 26.86 57 25-63
+ 0 .3 6 0.0061186 613 593 574 557
- h24 — 4 2
3
*53 I 54
4 39 12.20 4 43 8-76
70 47 37.79 7 1 45 5-92
4-0.36 4-0.32
0.0061799 0.0062392
4-26 4-2 4
0 + 4 4 I 55 4 47 5.32 72 42 32.78 4-0.26 0.0062966 + 1 9 + 7 5 156 4 5 1 1.88 73 39 58-4i 4 -0 .17 0.0063523 4 - 1 0 + 9
4 54 58 -44
57 24.45 54i
4 - 8
6 157 74 37 22.86
57 23-33 57 22.27 57 21.29 57 20.39
4-0.07 0.0064064 515 511 496 482
0 7 158 4 58 54-99 75 34 46.19 — 0.05 0.0064589 - 8 4 - 6 8 I 59 5 ^ 51.55 76 32 8.46 — 0.18 0.0065100 - 1 4 + 3 9 160 5 6 48.11 77 29 29.75 — 0.30 0.006559 6 — 16 — 1
10 161 5 44-67 78 26 50.14 — 0.42 0.0066078 - * 5 - 5
162
5719-56
0.0066546 468 n 5 T4 41-23 79 24 9-7° 57 18.80
57 18.12 5717-52 57 16.99
- ° - 5 3 454
440 426 411
— 10 - 7 12 163 5 18 37-79 80 21 28.50 — 0.63 0.0067000 - 3 - 9 13 164 5 22 34.34 81 18 46.62 — 0.70 0.0067440 + 5 - 8 14
i 6 5
5 26 30.90 82 16 4.14 - 0 . 7 5 0.0067866 + 1 1 - 6 15 166 5 30 27.46 83 13 21.13 —0-77 0.0068277 4 -1 5 — 257 16-54
0.0068673 396 16 167 5 34 24.02 84 10 37.67
57 16.16 57 15-85 57 15-61 57 15-42
— 0.76
380 364 345 325
+ 1 4 + 2 17 168 5 38 20.58 85 7 53-83 — 0.72 0.0069053 4 -1 0 + 5 18
! 9 169 170
5 42 17-14 5 46 13.69
86 5 9.68 87 2 25.29
— 0.66 - 0 . 5 7
0.0069417 0.0069762
+ 2 - 7
+ 8 + 9 20 1 7 1 5 5° IO-2 5 87 59 4°-7r — 0.46 0.0070087 - ^ 5 + 8
57 15-25 305
21 172 5 54 6.81 88 56 55.96
5 7 1 5 .1 1
57 14-99 57 14.86 57 14-69
- 0 . 3 4 0.0070392
283 — 22 + 5 22 J 73 5 58 3-37 89 54 n .0 7 — 0.21 0.0070675
259 - 2 5 + 2 23
24 17 4 J 75
6 1 59.93 6 5 56.49
90 51 26.06 91 48 40.92
— 0.07 4-0.06
0.0070934 0.0071168 234
209 - 2 3 - 1 7
— 2 - 6 25 176 6 9 53.05 92 45 5 5-01 4-0-18 0.C071377 - 8 - 8
57 14-47
0.0071558 181 2 6 17 7 6 13 49.61 93 43 10.08
57 14-21 57 13-9°
57 J3-5^ 4-0.28
*54 -1- 2 - 9 27 178 6 17 46.16 94 40 24.29 + ° - 3 5 0.0071712 127
100
4 -1 3 - 8 28 179 6 21 42.72 95 37 38-19 + 0 .3 9 0.0071839 4 -2 1 - 5 29 180 6 25 39.28 96 3 4 5 J -75 57 I3-20 4-0.40 0.0071939
75 + 2 5 — 1 30 181 6 29 35.84 9 7 32 4-95 5 7 12 .8 1 -1-0.38 0.0072014 51 4-2 5 + 3 J u l i 1 182 6 33 32.40 98 29 17.76
5 7 12 .4 2
57 12.06 57 11-74 5711*47
4-0.33 0.0072065
28 + 2 1 + 6 2 183 6 37 28.96 99 26 30.18 + 0 .2 5 0.0072093
_7 14
+ 1 3 + 8 3 184 6 4 1 25.51 100 23 42.24 + 0 .1 5 0.0072100 + 4 + 9 4 185 6 45 22.07 101 20 53.98 4-0.04 0.0072086 1
33 -
5
+ 75
186 6 49 18.63 102 18 5.45 — 0.08 0.0072053 - 1 3 + 4187
57 11-26
5
i6 6 53 15.19 103 15 16.71
57 — 0.20 0.0072002 69 — 16 0
7 188 6 57 11.75 104 12 27.82 57 11-03 57 “ oi
5 7 i t . c ö
— 0.32 0.0071933
8s - 1 6 - 4 8 189 7 1 8.31 105 9 38.85 - 0 4 3 0.0071848
101 — 11 - 7
9 190 7 5 4-86 106 6 49.86 — 0.52 0.0071747
“ 7 - 5 - 9 10 191 7 9 1-42 107 . 4 0.92 - 0 . 5 9 0.0071630 -1- 2 - 9