Berliner Astronomisches Jahrbuch für 1915 : mit Angaben für die Oppositionen der Planeten 1-732 für 1913. Bd. 140, 1915

Astronomisches Jahrbuch

für

i 9 i 5.

O 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 v i e r z i g s t e r B a n d .

~~ A u o

Berliner

Astronomisches Jahrbuch

für

1 9 1 5

mit Angaben für die Oppositionen der P lan eten (1) — (732)

für

1913 .

H erausgegeben

von dem

Königlichen A stronom ischen R echeninstitut

B e r 1 i n.

B ib lio te k a J a g ie llo h s k a

1001921025

B e r l i n

F e rd . D iim m lers V erlag sb u ch h an d lu n g

( K o m m iss io n sv e rla g )

1 9 1 3

.

1001921025

* V g ? H o O

K ö n ig lic h e s A s tro n o m is c h e s ß e c lie n in s t it u t ,

ß e r l i n - D a h l e m , A l t e n s t e i u S t r . 4 0 .

D i r e k t o r : D r . F r i t z C o h n , U n i v e r s i t ä t s p r o f e s s o r . O b s e r v a t o r e n : P . L e h m a n n , P r o f e s s o r ,

F . K . G i n z e l , P r o f e s s o r , D r . A . K e r b e r i e h , P r o f e s s o r , D r . J . P e t e r s , P r o f e s s o r , D r . J . R i e m ,

D r . A . S t i c h t e n o t h , D r . H . C I e m e n s . H i l f s a r b e i t e r : D r . P . Y . N e u g e b a u e r ,

D r . G . S t r a c k e .

M i t a r b e i t e r : D r . P . N e u g e b a u e r , P r o f e s s o r .

J j

V

V o r w o r t .

Die (Irundlagen des Berliner Astronomischen Jahrbuchs.

D en E p h e m e rid e n des J a h rb u c h s liegen die fo lg en d en T afel­

w erke zu G ru n d e :

F ü r die S o n n e u n d die g r o ß e n P l a n e t e n M e rk u r, V en u s, M a rs, U ra n u s u n d N e p tu n : die T afeln von N e w c o m b , fü r J u p ite r u n d S a tu rn : die T afeln von H i l l , e n th a lte n in :

Astronomical Papers o f the Am erican Ephemeris,

Vol. V I, P a r t I — I V :

Tables o f the fo u r inner planets,

Vol. V I I , P a r t I — I V :

Tables o f Jupiter

,

Saturn

,

Uranus, Neptun.

F ü r d en M o n d :

Tables de La lune

von P . A . H a n s e n , u n te r V e rb e sse ru n g d er T afel 34 fü r das F u n d a m e n ta la rg u m e n t nach N e w c o m b . A u ß e rd e m en th a lte n die M o n d ö rte r die em p irisch en K o rre k tio n e n von N e w c o m b n a c h : „ C o rrectio n s to H a n s e n s tab les o f th e M o o n “ (W a s h in g to n , 1 8 7 8 ).

F ü r den sch e in b are n M o n d ra d iu s is t d e r von J. P e t e r s e r­

m ittelte W e r t 1 5 1 32"-59 e n tsp re c h e n d d er P a ra lla x e 5 7 ' 2 ''.2 7 be­

n u tz t ( A .N . B d. 1 3 8 , S. 1 4 7 ).

B ei d e r B e re c h n u n g d e r M o n d ö rte r h a t die au sfü h rlich e M ond- ephem erid e des

N autical Alm anac

d e r R e d a k tio n infolge Ü b e re in ­ kom m ens m it d e r „

Nautical Almanac Office

“ in den A u sh ä n g e ­ bogen z u r V e rfü g u n g gestan d en .

F ü r die F i x s t e r n e :

N e u e r F u n d a m e n ta lk a ta lo g des B e rlin e r A stro n o m isch en

Jahrbuchs nach den G ru n d la g e n von A. A u w e r s , fü r die E p o c h e n

1 8 75 u n d 1900 b e a rb e ite t von D r. J . P e t e r s (V erö ffen tlich u n g

Ü r. 33 des K ö n ig lich en A stro n o m isch e n R e c h e n in stitu ts).

VI

A ls W o rte d e r fu n d a m e n ta le n K e d u k tio u sk o n sta n te n sin d nach d en B e sch lü ssen d er P a ris e r K o n feren z vom M ai 18 96 (C onference in te rn a tio n a le des etoiles fo n d am en tales. P ro c e s -v e rb a u x . P a ris 18 9 6 ) ang en o m m en :

Die P r ä z e s s i o n s - G r ö i i e n n ach S. N e w c o m b (A str. P a p e rs V ol. V IIT , P a r t I).

Die N u t a t i o n s - K o n s t a n t e . . 9".21 D ie A b e r r a t i o n s - K o n s t a n t e . . 2 0 ” .47 D ie S o n n e n - P a r a l l a x e . . . . 8”.80

F e r n e r sind in allen E p h e m e rid e n d e r S o n n e , d e r P la n e te n und d e r F ix s te rn e die k u rz p e rio d isc h e n , von d e r M o n d län g e ab h ä n g ig e n N u ta tio n sg lie d e r w eg g e la sse n ; doch b ie te t das J a h r b u c h die M ö g ­ lic h k e it, auch diese w eg g elassen en G lie d e r zu b erü c k sic h tig e n (s. E rlä u te ru n g e n ).

F r i t z C o h n .

V il

I n h a l t . .

Seite V o r w o r t ... V Zeit- und Festrechnung ...VIII B e r ic h tig u n g e n ... X

R e d u k t io n s e le m e n t e ... 3

S o n n en ep h cm erid e... 4

Rechtwinkelige S o n n e n k o o r d in a t e n ... 24

M o n d e p h e m e r id e ... 44

Lphemeride des Mondkraters Mösting A ... 84

Lage des Mondäquators und M o n d b e w e g u n g ... 89

Auf- und U ntergang der Sonne und des Mondes für B e r l i n ...91

Geozentrische Örter der Planeten: Merkur, Venus, Mars, Jupiter, Saturn, Uranus und N e p t u n ... 96

Heliozentrische Örter derselben Planeten und der E r d e ...146

Mittlere Örter von 925 F i x s t e r n e n ... 2*

Scheinbare Örter von 573 F i x s t e r n e n ...26*

R e d u k t i o n s t a f e l n ... 225*

F in ste rn is se ... 252" S te rn b e d e c k u n g e n ... 256*

Lrscheinungen der J u p i t e r s t r a b a n t e n ...266*

Lage und Größe des S a t u r n s r in g e s ...272*

Lrscheinungen der S a t u m s t r a b a n t e n ...274*

K o n ste lla tio n e n ...300*

Hilfstafeln M o n d l i b r a t i o n ... 301*

Julianische P e r i o d e ... 304*

Verw andlung der Mittl. Zeit in S t e r n z e it ... 308*

Verw andlung der Sternzeit in Mittl. Z e i t ...309*

Verw andlung der Dezimalteile des Tages in Stund en, Minuten, Sekunden und u m g e k e h r t... 310*

Hilfsgrößen zur B erechnung der P r ä z e s s i o n ... 3 12 * Hilfsgrößen zur Übertragung mittlerer Polsternörter von verschiedenen Äquinoktien auf 1 9 1 5 . 0 ...313*

Übertragung von Sternörtern vom mittleren Äquinoktium 1915.0 auf das Norm al-Äquinoktium 1 9 2 5 . 0 ...3*4* Koordinaten der S te r n w a r te n ...317* Bahnelemente der kleinen P la n e t e n ...(2)

Kurze Oppositionsephemeriden kleiner Planeten für 1 9 1 3 ... (41)

Ausführliche Oppositionsephemeriden kleiner Planeten für 1913 . . . . (77)

Erläuterungen zu den Ephemeriden und Tafeln des Jahrbuchs . . . . [1]

Erläuterungen zu den Angaben über kleine P l a n e t e n ... [26]

VIII

Z e it- u n d F e s t r e c h n u n g 1 9 1 5 .

Das Jahr 19 15 entspricht dem

Jahr 6628 der Julianischen Periode und dem Jahr 7423 — 7424. der Byzantinischen Are.

G re g o ria n isc h e r o d er N e u e r K ale n d er.

J u lia n is c h e r od er A lte r K alen d er.

Goldene Zahl . 16 16

Epakten . . X IV X X V I

Sonnenzirkel 20 20

Römer Zinszahl • G G

Sonntagsbuchstab c D

Septuagesima Jan. 31 Jan. 18

Aschermittwoch . Febr. 17 Febr. 4

I. Quatember Febr. 24 Febr. 11

Ostersonntag A p ril 4 März 22

Himmelfahrt Mai 13 A p ril 30

Pfingstsonntag . Mai 23 Mai 10

11. Quatember . Mai 26 Mai 13

III. Quatember . Sept. 15 Sept. 16

I. A dvent Nov. 28 Nov. 29

IV . Quatember . Dez. 15 Dez. 16

K a le n d e r d e r M o ham m edaner.

13 3 3 (Schaltjahr) Iie b i-e l-a w w e l 1 R e b t-e l-a cc h e r 1 Dschemädi - el - awwel 1 D sch em äd i-el-acch er 1 Itedscheb I

Schabän I Ramadän 1 Schcwwäl 1 Dsü ’l-k a d e x Dsü ’l-h edsch e 1 .

1334 (Gemeinjahv) Moharrem 1

Safar 1 . . . .

1915 Jan. 17 Febr. 16 März 17 A pril 16 Mai Juni Juli Aug.

Sept.

Okt.

Nov.

Dez.

G 14 J 3 12 10 IO

9 9

IX

K a le n d e r d e r J u d e n .

5675 Schebat 1 ... 19 15 Jan. 16

A dar I » Febr. 15

1 1 F asten -E sth er ...» 25

14 P u r i m ... » 28

15 ! Schuschan- P u r i m ...» März I Nisan 1 » 16 15 Passah - A n fang * ... » 30

16 Zweites F e s t * ... » 31

21 Siebentes F est* • ...» April 5 22 : Achtes F est* ... » 6

Ijar 1 » 15 18 L a g - B u m e r ...» Mai 2 Sivan 1 . » 14 6 W o c h e n fe s t * ... » 19

7 : Zweites F e s t * ... » 20

Tharnuz 1 » Juni 13 1 7 Fasten. Tem peleroberung . » 29 A b 1 » Ju li 12 9 1 Fasten. Tem polverbrennung . . . » 20

El ul 1 ... » A u g . 11 c<Wi 1 Überzähliges 5°7° | Schaltjahr Tischri 1 N e u j a h r s f e s t * » Sept. 9 2 Zweites F e s t * ... » 10

4 j Fasten - G e d a l ja h ... » 12

10 : V e r s ö h n u n g s f e s t * ... » 18

15 L a u b h ü tt e n fe s t * ... » 23

16 Zweites F e s t * ... » 24

2 1 Palm enfest ... » 29

22 | Versam m lung oder Laubhüttenende* . » 30 23 G e s e t z e s fr e u d e * ... » Okt. I Marcheschwan I ... » 9

K islev 1 » Nov. 8 25 i T e m p e lw e ih e ... » Dez. 2 Tel>et 1 » 8 10 Fasten. B elagerung Jerusalems . . 17 Die mit * bezeichnten Festtage werden streng gefeiert.

X

Berichtigt! ngen.

J a h r b u c h 1908 — 1914.

Die scheinbaren Deklinationen von 504 e Centauri bedürfen folgender K orrektionen:

Jan. 0 + 0 .3 März 21 + 2 . 1 •Juni 9 4-0.5 A ug. 28 —-2.0 Nov. 16 - i -3

10 + 0 .7 31 ^{+ 2 . 1} 19 ^{4 -0 .1} Sept. 7 - -2.1 26 — 1.0

20 -f-1.1 April 10 ■4-2.0 29 — 0.2 !7 - 2.2 Dez. 6 — 0.6

3° + 1 . 4 20 4 -1.9 Juli 9 — 0.6 27 - -2.2 16 — 0.2

Febr. 9 + 1 . 7 3° 4 - 1 .7 !9 ^{- 0 . 9 < )kt. 7 - -2.1 26 4-0 .1}

+ 1 . 9 Mai 10 4 - 1 4 29 — 1.2 17 ~ -2.0 36 4-0.5

März 1 + 2 .0 20 4 -1 .2 A u g . 8 - ! - 5 ^{27 - -1.8} 11 + 2 . 1 3° 4-0.8 18 - 1 . 8 Nov. 6 —-1.6

Bei der Berechnung war log c’ = 8-7638,, mit (lern falschen Vorzeichen benutzt.

J a h r b u c h 1908 — 1915.

Die mittleren und scheinbaren Orter der Sterne 299 [26 Lyncis] in Dekl., 354 X A rgus in Dekl. und 679 y Sagittarii in A K . sind bezw. um — o".02. — o ” .xo und 4 - o '.o io zu verbessern.

J a h r b u c h 1912.

Seite 156 280 19 L yn c. seq. Dekl. lies + 5 5 ° 26' 53” .Ö7 anstatt 4-2 5" 26’ 53".67.

» 363 827 a A quarii Nov. 26 A R . lies 18.30 anstatt 18.20.

J a h r b u c h 1913.

Seite 374 Jan. 27 lies 4 - 2 ” .9 i anstatt 4 -2 ".8i.

» 386 Jan. 10 — Febr. 6 an log B ist noch anzubringen das kurzperiodische Mondglied — o ” .o884 cos 2 ([. Vergl. A str. Nachr. 194, 15.

» [22] Zeile 26 von oben muß heißen dJKo — — m Y 0r — n Z ^ r — £(m 2 + ri3)X(,T-;

desgl. im Jahrbuch 19 14 Seite [3].

J a h r b u c h 1914.

Seite 15 7 336 c Carinae A R . lies 8'1 53”’ 5*.985 anstatt 6S.985.

» 175 X Ursae min. Jan. 10 A R . ( [ G l. lies 4 - o s.02 anstatt •— o\02.

» 184 X Ursae min. Mai 15 A R . d Gl. lies — o a.3Ö anstatt — o s-34-

» 208 0 Octantis März 8 A R . ( ( Gl. lies + 0 ^ .27 anstatt — Os.27.

» 2 17 o Octantis Juni 25 A R . ([ Gl. lies 4 - o s.2 i anstatt + 0 M 1 .

» 229 0 Octantis Nov. 22 A R . ([G l. lies - f - o ^ ö anstatt 4-o\2Ö.

» 232 0 Octantis Dez. 32 A R . ([ Gl. lies — o s.07 anstatt — 0 M 7 .

» 424 p a Okt. 22 bis linde lies — anstatt 4 -

» 433 Dez. 33 log -"W lies 1.95529 anstatt 1.95539.

» 451 Japetus lies Konjunktion anstatt Kulm ination.

J a h r b u c h 1915.

Seite 6* 178 9 Camelop. A R . Jährl. Veränd. lies -H5a.9447 anstatt" + 5 '.4 4 4 7 -

» 18 * 679 y Sagittarii Dekl. lies — 30° 25' 3 4 ”-24 anstatt — 30° 24' 34” -24.

» 272* p a Nov. 2 bis Ende lies — anstatt -f-

» (33) (617) Patroclus log a lies 0.714744 anstatt 0.714644.

» (47) Die Ephemeride von (14) Irene ist fehlerhaft. S. A str. Nachr. 194, 134.

» (55) (380) F iducia Größe lies 12.6 anstatt 45.6.

Sonne, Mond, Große Planeten.

Astronomische Zeichen und Abkürzungen.

Bezeichnung

der

Wochentage.

0 S o n n ta g .

€ M o n ta g , c? D ie n s ta g .

5 M ittw o c h . D o n n e rsta g .

$ F re ita g , h S on n ab e n d .

Adspekten.

d K o n ju n k tio n .

□ Q u a d ra tu r.

<? O p p o sitio n .

Mondphasen.

• N eu m o n d .

© E rs te s V ie r t e l.

O V o llm o n d . Q L e tz te s V ie rte l.

S i A u fs te ig e n d e r

)

13 N ie d e r s te ig e n d e r ) ° ten

Z e i e h e »

des Tierkreises und der Himmelskörper.

V W id d e r . . . o G ra d .

d S t i e r ...

3o » 0 S o n n e.

Xn Z w illin g e . . 60 » d M o n d . öp K r e b s . . . . 90 » $ M e rk u r.

Q L ö w e . . . .

120 » $ V e n u s . PP J u n g fra u . . 150 » $ E r d e .

hü

W a g e . . . . 180 » <? M a rs.

n t S k o rp io n . . 210 » 2 J. J u p ite r.

S c h fltz e . . . 240 » S a tu rn .

r

6 S te in b o c k . . 270 » § U ra n u s.

W a sse rm a n n 300 »

t N ep tu n .

X F is c h e . . . 330 »

R E D U K T IO N S E L E M E N T E .

³

1915 Schiefe der Ekliptik mittlere j wahre

Präzession in Länge

Nutation in Länge

Aberration der Sonne

Parallaxe der Sonne

2 3°

J a n . 0

27 1.23 2 7 ’ 8:56 - 0.14. + 9.06 20.82 8-95

10 1.22 8.60 4- 1.24 9.62 20.82 8.95

20 I .2T 8.69 2.62 10.07 20.80 8.94

3° I I 9 8.82 3-99 ^{10.39 20.78} 8 -93

e br. I .l8 8.96 5-37 ^{10.55 20.75 8.92}

M s 19 2 7 I .1 7 27 9.08 + 6.74 + 10.56 20.70 8.90

M a r z 1 I.IÖ 9 .17 8.12 10.42 20.65 8.88

n I .I 4 9.2t 9-5° 10.18 20.60 8.86

21 I -I 3 ^{9.19 10.87 9.88 20.55 8.83}

3i 1.12 9.10 12.25 9.58 20.49 8.81

A p r i l 10 27 I.IO "JT OO VC v_n + 1 3 .6 2 1- 9.32 20 4 3 8.78

20 1.09 8.74 15.00 9.16 20.37 8.76

20

M o ; 1.08 8.51 16.38 9 .12 20.32 8-73

M a i jo

1.07 8.26 *7-75 ^{9.21 20.27 8.71}

20 1.05 8.02 *9-13 9 4 4 ^{20.23 8.69}

t . . 3 ° 27 1.04 27 7.81 + 2 0 .5 0 + 9-79 ^{20.19 8.68}

«U U l 9 x.03 7.64 21.88 10.24 20.16 8.67

J9 i.o r 7-53 ^{23.26 .10.75 20.14 8.66}

J „ r 29 1.00 7 4 7 ^{24.63 11.2 7 20.13 8.66}

J u h 9

°-99 7 4 7 ^{26.01 11.75 20.13 8.66}

*9 ^{27 0.98} ₂₇ 7-53 ^{+ 2 7 .3 8} + 1 2 . 1 6 20.14 8.66

A n 0.96 7.62 28.76 12.46 20.16 8.67

A u g . 8 0.95 7-73 3a i 4 ^{12.63 20.19 8.68}

18 0.94 7.84 12.66 20.22 8.69

28 °-93 7-93 ^{32.89 12.56 20.27 8.71}

S e p t . 7

27 0.91 27 7.99 + 3 4 -2 6 + 1 2 .3 4 20.32 8-73

17 0.90 7-99 35-64 ^{12.05 20.37 8.76}

O lr t 27 0.89 7-93 ^37.02 n -73 ^{20.43 8.78}

0.87 7.80 38.39 11.43 20.49 8.81

J 7 0.86 7.61 39-77 ^{1 1 .1 9 20.55 8.83}

N n - 27 27 0.85 27 7.38 + 4 1 . 1 4 + 1 1 .0 6 20.ÖI 8.86 0 \ , ^

0.84 7.12 42.52 11.0 7 20.66 8.88

16 0.82 6.86 43.90 11.2 4 20.70 8.90

26 0.81 6.61 45.27 n .5 7 20.74 8.92

J 'e z . 6 0.80 6.40 46.65 12.02 20.78 8-93

16 14 0 00 27 6.24 + 4 8 .0 2 + 1 2 .5 6 20.80 8.94

26 0.77 6.16 49.40 20.82 8.95

36 0.76 6 .14 50.78 13.70 20.82 8.95

Mittlere Schiefe der E kliptik für 1910.0 = 23° 27' 3 ” .58.

1*

4 SONNE 1915.

M i t t l e r e r B e r l i n e r M i t t a g . Monats -

und Wochentag

Z eitg le ich u n g

M. Z t. — W . Zt. Scheint». AR. Scheinb. Dekl. ^Durclig.- Dauer

St.-Zt.

Halbm.

J a n .

F e b r

10 11 12

*3 14

!5 16 J 7 18

*9 20 21 22 23 24

25 26 27 28 29 30 3 1 1 2 3 4 5 6

7

Do F r Sa St Mo Di Mi Do F r Sa St Mo Di Mi Do F r Sa St Mo Di Mi Do F r Sa St Mo Di Mi Do F r Sa St Mo Di Mi Do F r Sa St Mo

+ 2 49.09 3 !7-76 3 46-13 4 14.18 4 41.88 + 5 9-2i 5 36-13 6 2.62 6 28.67 6 54-24 +■ 7 19.30

7 43-83 8 7.81

8

31.20 8 53.98 +- 9 16 .14 9 37-6 3 9 58 -43 10 18.52 10 37.90 + 1 0 56.54 1 1 14.42 1 1 31.52 1 1 47.84 12 3.37 -4-12 18.09

12 32.00 12 45.10 12 57.38 13 8.84 4 -1 3 19.48

13 29.30 13 38.29 13 46.47

*3 53-85 4 - 1 4 0.41 14 6 .17 14 1 1 .1 5 1 4 1 5 - 3 3 14 18.73

18 38 56.94 18 43 2 2 .1 7 1 8 4 7 4 7 .1 0 18 52 1 1 . 7 1 18 56 3 5.9 7 19 o 59.86 1 9 5 2 3.3 4 1 9 9 46 .39 1 9 1 4 9.00 1 9 18 3 1 .1 2 1 9 2 2 5 2 .7 4 19 2 7 13.83 19 3 1 34-37

*9 35 54-32 19 40 13 .6 6

19 44 32-37 19 48 50.42 J 9 53 7-78 1 9 5 7 24.43 20 1 40 .3 7 20 5 55.56 20 1 0 10.00 20 1 4 23-66 20 18 3 6 .5 4 20 2 2 48.62 20 26 59.90 20 3 1 10 .3 7 20 35 20.03 20 39 28.86 2 0 4 3 36.88 20 4 7 44 .0 7 20 5 1 50.45 2 0 55 56.00 2 1 o 0 .7 4 2 1 4 4.6 7 2 1 8 7 .7 9 2 1 1 2 1 0 .1 1 2 1 16 1 1 .6 4 2 1 20 12.38 2 1 2 4 12 .33

4 25-13 4 24-93 4 24.61 4 24.26 4 23-89 423-48 4 23.05 4 zz.61 4 22.12 4 21.62 4 21.09 4 20.54 4 19-95 429-34 4 18.71 4 18 .0 5 4 I7-36 4 16.65 4 25-94 4 25-19 4 24-44 4 13.66 12.88 4 12.08 4 n .28 4 20.47 4 9.66 4 8.83 4 8.02 7.29 6.38 5-55 4-74 3-93 3.12 2.32 2-53 0.74 3 59-95

-2 3 9 0.6 2 3 4 39.9 2 2 59 51.6 22 54 35.8 2 2 48 52.6 - 2 2 42 42 .2

22 36 4.8 22 29 0.6 22 2 1 29.7 2 2 1 3 32.4 - 2 2 5 8.8

2 1 56 I9 .2 2 1 4 7 3.9 2 1 3 7 2 3 .I 2 1 2 7 1 7 .I - 2 1 16 46.3

2 1 5 50.9 20 54 3 1.2 20 42 4 7 .7 20 30 40.6 - 2 0 18 IO.3 20 5 1 7 . 1 1 9 52 1.5 I 9 38 2 3 .7 19 2 4 24.2 - 1 9 10 3.3 18 55 2 1 .4 l8 40 18.8 l 8 24 56.O 18 9 I3 .3 - 1 7 53 I I . I

1 7 36 49.8 1 7 20 9.8 1 7 3 I I .4 16 45 54.9

— l 6 28 20.9 16 1 0 29.6 15 52 2 1-4

*5 33 56-9 15 15 16.3

4 20.7 448-3 5 15-8 5 43-2 6 10.4 6 37.4 7 4-2 7 30-9 7 57-3 8 23.6 8 49.6 9 r5-3 9 40.8 0 6.0 0 30.8 0 55.4 1 19.7 1 43-5 2 7.1 2 30.3 2 53-2 3 25-6 3 37-8 3 59-5 4 20.9 4 42-9 5 2.6 5 22.8 5 42.7 6 2.2 6 21.3 6 40.0 6 58.4 7 16.5 7 34-o 7 52-3 8 8.2 8 24.5 8 40.6

1 4 1 .9 6 14 1.8 8 1 4 1.8 0 1 4 1 .7 0 1 4 1 .6 0 1 4 1 .4 9 1 4 1 .3 8 1 4 1 .2 5 I 4 1 . 12 140.98 140.84 140 .6 9 I4 0 .5 3 140 .36 I4O .I9 I40 .O I i39-83 13 9 .6 4 I39-45 i39-25 139.0 5 138.8 5 13 8 .6 4 138.43 13 8 .2 1 13 7 .9 9 I37-77 137-54 13 7 .3 2 13 7.0 9 13 6 .8 7 13 6 .6 4 1 3 6 .4 1 1 3 6 .1 8 135-95 I35-7 2 x35-49 13 5.2 6 13 5.0 4 13 4 .8 1

1 6 15 .9 9 16 16.0 0 1 6 16.0 0 1 6 16.0 0 1 6 16.00 16 15.98 16 15 .9 6 1 6 15 .9 4 1 6 1 5 .9 1 1 6 1 5 .8 7 1 6 15.8 3 16 15 .7 8 16 1 5 .7 3 l6 I5.67 l6 15.62

l6 l 6 l6 l6 l6 l6 l6 l6

SONNE 1915. 5

M i t t l e r e r B e r l i n e r M i t t a g . Monats­

und

■Iah res lag Stern zeit, M ittle re s Ä q u . 1 9 1 5 .0

Länge I Diff. I Breite Lg. Rad. y.Diff.

Nut. K in o ".o i d l ds

•Tan.

10 IX 12

*3

x4

x5

16

17

18

x9 2 ° 21

22

23

24

25

26

27

28 29 30 31

F e b r . i

i8h3 6' 18 40 18 44 18 47 18 51

7.85 4.41

°-97 57-53

54.09 18 55 50.65 18 59 47.21 19 3 43.77 19 7 40.33 19 1 1 36.88

x9 15 33-44

19 19 30.00 19 23 26.56 19 27 23.12 19 31 19.68

x9 35 i6 -23

19 39 12.79 19 43 9.35 19 4 7 5.91 19 51 2.47 19 54 59.02 19 58 55.58 20 2 52.14 20 6 48.70 20 10 45.25 20 14 4 1.81 20 18 38.37 20 22 34.93 20 26 31.48 20 30 28.04 20 34 24.60 20 38 2 1.15 20 42 17 .7 1 20 46 14.27 20 50 10.82 20 54 7.38 20 58 3.94 21 2 0.49

21 5 57-05

21 9 53-60

278 56 59-15 279 58 7-3°

280 59 282 283 284 285 286 287 288

15.51 0 23.79 1 32.16 2 40.65

3 49-28 4 58-°5

6 6.95

7 15-95

289 8 25.03 290 9 34.14 291 10 43.19 292 1 1 52.09

293 x3 °-75

294 14 9.08 295 15 16.96 296 16 24.27 297 1 7 30.91 298 18 36.79

299 x9

300 20 30 1 2 1 302 22

3°3 23

304 24

3°5 25

306 26 307 2 7 308 28 309 29

3 10 3°

3 H 31 3 1 2 32

313 33

3 1 4 33

3*5 34 316 35

3 1 7 36

3 18 37

41.84 46.01

49-24 5x-49

52.71

52-87 5i-95 49-95

46.88 42.73 37-51 3 x-24 23.94 15.66 6.44 56.30 45.25 33.30 20.44

6.65 8.15 8.11 8.28 8.37 61 8.49

!.⁶³ 61 8.77 61 8.90 61 9.00 61 9.08 61 9.11 61 9.05 61 8.90 61 8.66 61 8.33 61 7.88 61 7.31 61 6.64 61 5.88 61 5.05 61 4.17 3-i3 2.25

1.22

6l 0.l6 60 59.08 60 58.OO 60 56.93 60 55.85 60 54.78 60 53.73 60 52.70 60 51.72 60 50.78 60 49.86 60 48.95 60 48.05 60 47.14 60 46.21

+ 0 .5 1 + 0 .4 3 4-0.34 4-0.23

4-0.10

— 0.03

— 0.16

— 0.28

— 0.38

— 0.46 - 0 . 5 1

-o-53

— 0.52 - 0 . 4 7 - 0 . 3 9

— 0.29

— 0.16

— 0.02 4-0.12 4-0.25 4-0 .37 4-0.48 4-0.56 4-0.62 4-0.65 4-0.66 4-0.65 4 -0 .61 4-0-54 4-0.44 4-0.32 4-0.20 -t-0.08

— 0.05

— 0.18

— 0.30 - 0 . 3 9 - 0 . 4 5

— 0.48

— 0.48

9.9926600 9.9926549 9.9926526 9.9926532 9.9926566 9.9926628 9.9926717 9.9926831 9.9926970 9.9927132

9-99273i6

9.99:17519 9.9927741 9.992798!

9-992g237

9.9928509 9.9928796 9.992,9099 9.9929418

9-9929754

9.9930108 9.9930480 9.9930872 9.9931284

9-993I 7I7 9-9932I73

9.9932652

9-9933I55

9.9933682 9.9934234 9-9934811 9.9935414 9.9936044 9.9936699 9.9937378 9.9938081 9.9938807

9-9939553

9.9940319 9.9941103

51

23

6 34 62 89 114

139

162 184 203 222 240 256 272 287 3°3 319 336 354 372 392 412 433 456 479 503 527 552 577 603 630

655

679 7°3 726 746

766

784

- 5

+ 3 + 1 0 + 1 3 + 1 3

9

4- 1

- 7 14

! 9

— 20

— 18

— I I

— 2 4- 8 + 1 8 H- 2 5 + 2 7 + 2 6

+ J9 + 9

— 1

— 10

—x7

— 20 - 1 9 - 1 4

- 7

-+- 1 4- 8 4 -1 2 4 -1 3 4 -1 0 4- 4

- 4

— 12 - 1 8

— 21

— 20 - 1 4

- 5

— 2

4 - 2

+ 6 + 8 + 9 + 8 + 5

4- i

- 3

- 9

- 7 - 4 o 4-4 + 7

+ 9 + 9

+ 7 4-4 o - 4 - 7 - 9

- 3

4 -1

+ 5 + 8 + 9 + 8

4 - 6 4 - 2

— 2

- 6

6

SONNE 1915.

M i t t l e r e r B e r l i n e r M i t t a g . Monats­

und Wochentag

Z eitg le ich u n g

M. Z t . — W . Zt. Scheinb. AR. D ill. Scheinb. Dekl. Durchg.-

Dauer

St.-Zt. Halbm.

F e b r. 7

8 9 10 1 1 12 x3 i4 x5 16

x7 18

! 9 20 21 22 23 2 4 25 26 2 7 28

M ärz

4 5

6

7 8 9 10 1 1 12 x3 14 x5 16 x7 18

St Mo Di Mi Do Fr Sa S t Mo Di Mi Do F r Sa St Mo Di Mi Do Fr Sa St Mo Di Mi Do F r Sa St Mo Di Mi Do F r Sa St Mo Di Mi Do

I-14 15 .3 3 1 4 18 .7 3 1 4 2 1.3 5 1 4 2 3 .19 1 4 24.26

+ 1 4 2 4 .5 7 1 4 2 4 .1 2 1 4 2 2 .9 1 1 4 20.95 14 18.25 + 1 4 14 .8 2

1 4 10 .66 14 5.80 x4 0-23

*3 53-97 + x3 47-°5

x3 39-47 13 3 1 .2 4 1 3 22.39 13 12 .9 4 + 1 3 2.90

1 2 52.29 1 2 4 1 .1 3 1 2 2 9.4 4 12 17 .2 5 + 1 2 4.58

1 1 5 1.4 6 1 1 37.90 1 1 23.93 1 1 9 .56 + 1 0 54.82

1 0 39.72 1 0 24.29 10 8 .54 9 52-49 9 36 -x5 9 x9-55 9 2 .70 8 4 5 .6 1 8 2 8 .3 1

2 1 20 12.38 2 1 2 4 12.33 2 1 28 1 1 .5 1 2 1 32 9 .9 1 7-54 0 2 1 36 2 1 40 4.40 2 1 44 O.50 2 1 4 7 55.85 2 1 5 1 50.44 2 1 55 44.30 2 1 59 3 7.4 2 2 2 3 29.82 22 7 2 1 .5 1 2 2 1 1 12 .5 0 2 2 1 5 2.80 2 2 1 8 52.43 2 2 22 4 1.4 0 2 2 2 6 29.7 3 22 30 1 7 .4 4 22 34 4-54 22 3 7 51.05 22 4 1 36.99 2 2 45 22.38 22 49 7.25 2 2 52 5 1.6 2 22 56 3 5 .5 1 23

23 23 23

o 18 .9 4 4 1.93 7 4 4-51 1 1 26.70 23 15 8 .51 23 18 49 .9 7 23 22 3 1.0 9 23 26 11 .8 9 23 29 52.39 23 33 3 2 .6 1 23 3 7 12 .5 6 23 40 52.26 23 44 3 1 .7 3 23 48 10.98

359-95 359-lg 3 58-4°

357-^3 3 56.S6 356-10 355-35 354-59 353-86 353-J2 352-4° 3 52-69 35°-99 3 50-30 349-63 3 48-97 348-33 347-71 347-20 3 46-52 345-94 345-39 344-87 344-37 343-89 343-43 342-99 3 42-58 3 42-29 3 42-81 3 42-46 3 42.12 34°-8o 3 40.50 3 40.21 339-95 339-7° 339-47 39-25

~ [ 5 33 56 -9 15 15 16.3 1 4 56 2 0 .1 1 4 3 7 8.7 1 4 1 7 42.5 - 1 3 58 2.0

1 3 38 7.6 13 1 7 5 9 .7 1 2 5 7 38.9 1 2 3 7 5.5 - 1 2 16 20.0

1 1 55 22.9 1 1 34 14.5 1 1 1 2 55.3 10 5 1 2 5 .7 - 1 0 29 4 6 .1 10 7 57.0 9 45 58-8 9 23 5i-7 9 1 36 -3 - 8 39 x3-°

8 16 4 2 .1 7 54 3-9 7 3i l 8 -9 7 8 27-3 - 6 45 2 9.7

6 22 26.3 5 59 x7-5 5 36 3-6 5 1 2 45.2

49 2 2.4 25 55-7 2 2 5.5 38 52.3 15 16 .4

51 38-1 2 7 58-0 4 16.4 40 3 3 .7

1 6 50.4 18 40.6 18 56.2 19 11.4 19 26.2 J9 40.5 19 54.4 20 7.9 20 20.8 20 33-4 20 45.5 20 57.1 21 8.4 21 19.2 21 29.6 21 39.6 21 49.1 21 58.2 22 7.1 22 15.4 22 23.3 22 30.9 22 38.2 22 45.0 22 51.6 22 57.6 23 3-4

*3 23 13.9 23 18.4 23 22.8 23 26.7 23 30.2 2333-2 2335-9 23 38-3 23 40.1 23 41.6 23 42.7 2343-3

13 5.0 4 13 4 .8 1 I34-58 13 4.3 6 1 3 4 .1 4 133.97.

I33-7° 13 3 .4 9 13 3.2 8 13 3 .0 7 13 2.8 6 13 2.6 6 13 2 .4 6 13 2 .2 6 13 2 .0 7 13 1.8 8 1 3 1 .7 0 1 3 1 .5 2 x3i-35 1 3 1 .1 8 1 3 1 .0 1 130.85 130.69 I3°-54 130.40 13 0 .2 6 1:30.13 130.00 12 9 .8 7 1 2 9 . 7 5 12 9 .6 4 12 9 .5 4 129 .4 4 12 9 .3 4 12 9 .2 5 1 2 9 .1 6 129.0 9 129 .0 2 128.96 128.90

16 1 2 .9 1 16 1 2 .7 4 16 12 .56 16 1 2 .3 7 16 1 2 .1 8 16 12.00 16 I I .8 l 1 6 I I .Ö2 l 6 I I .4 2 16 1 1 .2 2 16 11.0 2 1 6 10 .82 1 6 IO.62 1 6 IO.42 16 10.21 1 6 9.99 1 6 9.78 1 6 9 .56 16 9.33 l 6 9 .I I 16 16 8.64 16 8 .41 1 6 8 -17 1 6 7 .9 2 16 7 .6 7 1 6 7.4 2 16 7 .1 6 1 6 6 .9 1 16 6.65

SONNE 1915. ⁷

M i t t l e r e r B e r l i n e r M i t t a g . Monats­

und Sternzeit M ittleres Ä q u . 1 9 1 5 .0

L g . R ad. v. Diff.

Nut. (L in o \ o i

ährest.»«- Länge Diff. Breite d \ tfe

F e b r . 7 38

h m 8

2 1 5 57.05 3 i 7 ° 36 ' 2 0 4 4

60 46.21 — 0.48 9 .9 9 4 0 3 19

784 — 20 ^— 2 8 39 ^{2 1 9 53.60} 3 18 3 7 6.65

60 45.23 — 0.48 9 .9 9 4 110 3

800 - 1 4 — 6 9 ⁴⁰ 2 1 13 5 0 .16 3 1 9 3 7 51.88

60 44.20 - 0 . 4 5 9 .99 419 0 3

814 — 6 - 8 10 4i 2 1 1 7 4 6 .72 320 38 36.08

60 43. C9 - 0 . 3 9 9 .9 9 4 2 7 1 7 827 + 4 - 9 1 1 42 2 1 2 1 4 3 .2 7 3 2 1 39 1 9 .1 7

60 41.90 — 0.29 9-9943544

839 ^{+ 1 4}

— 8 12 43 2 1 25 39.83 3 22 40 1.0 7

60 40.62 — 0 .1 7 9.9944383

S50 + 2 2 ~ 5

*3 44 2 1 29 36.38 323 40 4 1.6 9 60 39.24 60 37.77 60 36.21 60 34.58

— 0.04 9-99452 33 ₈₆₀ ^{+ 2 7 — 1} 14

x5 45 46

2 1 33 32.94 2 1 3 7 29.49

3 24 4 1 20.93 325 4 1 58.70

+ 0 .0 9 4 -0 .2 2

9.9946093 9.9946963

870 880

4 - 2 7 4 -2 2

+ 3 + 6 16 47 2 1 4 1 26.05 326 42 3 4 .9 1 H-0.35 9.9947843

890 + 1 3 4 -8

*7 18

48 49

2 1 45 22.60 2 1 49 1 9 .1 6

3 2 7 43 9.49 328 43 42 .3 7

60 32.88 60 31.12 60 29.31 60 27.46

+ 0 . 4 7 + O .5 6

9-9948733 9.9949635

902 9*3

+ 3 - 7

+ 9 + 7

*9 5° 2 1 53 X5-7X 329 44 13 .49 -t-O.63 9.9950 548

925 - 1 5 + 5 20 5i 2 1 57 12 .2 7 330 4 4 42.80 + O .6 7 9-995I 473 937 x9 ^{4 - 1} 2 1 52 22 1 8.82 3 3 1 45 10.26 / 1

-4-0.68 9 .9 9 52 4 10 — 20 - 3

60 25.58 951

22 53 ^{22 5 5.38} 332 45 35.8 4 — 16

60 23.67 -I-0 .67 9-995336 1 966 — 6

*3 54 ^{22 9 1.93} 333 45 59-51 60 21.75 6o 19.81 60 17.87

+ 0 .6 3 9.9954327 ₉₈₀ ^{— 10} - 9 24 55 22 1 2 58.49 3 3 4 46 2 1.2 6 -1-0-57 9-99553°7 996 — 2 - 9 25 56 22 1 6 55.04 335 46 4 1-0 7 + 0 .4 9 9.995630 3

1012 4- 6 - 7 26 57 22 20 5 1.6 0 336 46 58.94 -4-0.38 9-9 9 5 7 3 x5 ^{+ 1 2} - 4

58 59

60 15.94 1029

27 28 M ä r z 1

22 2 4 4 8 .15 22 28 44 .70

337 47 i 4-88 338 4 7 28.93

60 I4.O5 60 12.20

+ 0 .2 6 + 0 . 1 3

9.99 58 3 44 9.9959390

1046 1064

+ 1 3 + 1 1

0 4 - 4 60 22 32 4 1.2 6 339 47 4 1 -1 3 60 IO.39

60 8.64 60 6.95

0.00 9.99 60 4 54

1082 4- 6 + 7 2 6 1 2 2 36 3 7 .8 1 340 4 7 5 1 .5 2 — 0 .13 9 .9 9 6 15 3 6

1099 1116

— 2 + 9

3 62 22 40 3 4.3 7 3 4 1 48 0 .16 — 0.26 9.9962635 — 10 + 9

4 63 22 44 30.92 3 4 2 48 7 . 1 1 60 5.3O 60 3.69 60 2. II

- 0 . 3 7 9 .9 9 6 3 7 5 1 1132

” 47 1159 1169

- i 7 + 7

5 64 22 48 27.48 343 48 ia -4i - 0 . 4 4 9.9964883 — 2 1 + 3

6 6 5 22 52 24.03 344 48 1 6 .1 0 — 0 4 8 9.9966030 — 2 1 0

7 ⁶⁶ 22 56 20.58 345 48 1 8 .2 1

60 0.52 - 0 . 4 9 9 .9 9 6 7 18 9 - i7 - 4

8 67 23 0 1 7 .1 4 346 48 18 .7 3 — 0.46 9.9968358 - 9 - 7

59 58.94 1179

9 ^{68 23} 4 13 .6 9 347 48 17 -6 7 5957-34 59 55-69 59 53-98 5952-22

— 0 .4 1 9 .9 9 6 9 5 3 7 1187 1192 1196

” 99

+ 1 - 9

10 69 23 8 10 .25 348 48 1 5 .0 1 — 0.32 9 .9 9 70 72 4 + 1 2 - 8

1 1 70 23 1 2 6.80 349 48 10.70 — 0 .21 9 .9 9 7 1 9 16 + 2 0 - 6

12 x3

71 72

23 1 6 3.35 23 1 9 59.91

350 48 4.68 3 51 47 56-9°

— 0.09 + 0 .0 5

9 .9 9 7 3 1 1 2 9 .9 9 7 4 3 1 1

4 -2 5 4 - 2 7

“ 3 4- i

14 73 23 23 56.46 595°-39 ¹²⁰⁰

3 52 4 7 4 7 .29 59 48-5°

59 46-55 5944-53 5942-44

4 - 0 .1 9 9 -9 9 7 5 5 1 1

1201 ^{4 - 2 4} + 5 J 5

16 74 75

23 2 7 53.0 1 23 3 1 4 9 .5 7

353 47 35-79 354 47 2 2.3 4

4 -0 .3 2 4-0-43

9 .9 9 7 6 7 1 2 9 .9 9 7 7 9 1 4 1202

1203 1203

- M7 + 7

4 -8 + 9

*7 ^{7 6} 23 35 4 6 .12 355 47 6 -87 ^{4 -0 .5 3} 9 .9 9 7 9 1 1 7 — 4 4 -8

18 77 23 39 4 2 .6 7 356 46 49 .3 1 4-0 .60 9.9980320 — x3 4 -6

8

SONNE 1915.

M i t t l e r e r B e r l i n e r M i t t a g . Monats

und Zeitgleichnng

M. Zt. — W.Zt S c h e in b . A R . Diff. S c h e in b . D e ld . Diff.

Durclig.- Dauer H a lb m .

Wochentag St.-Z t.

M ä r z 1 7 M i

_m s + 8 4 5 .6 1

h m a 23 4 4 32-73 ^{m s}

33425 339-°5 3 38.88

— 1 °40' 33-7 2343-3 23 43.6 23 43.6

128 .9 6 16 4.25

18 D o 8 2 8 .3 1 23 48 10.98 1 16 50.4 128.90 1 6 3.99

F r 8 10 .8 1 23 5 1 50.03 0 53 6.8 128 .8 4 16 3 .7 2

20 S a 7 53-J 3 23 55 2 8 .9 1 3 38-71

0 29 23.2 2343-i

12 8 .7 9 16 3.45

2 1 S t 7 35-29 ^{23 59 7 .6 2 — 0 5 4 0 .1 12 8 .7 5 16 3 .18}

3 38.56 23 42.2

22 Mo + 7 1 7 .3 0 0 2 4 6 .18 338-45 338-34 3 38.16 3 38-20 3 38-15

+ 0 18 2 .1 23 41.0 2339-5 23 37.6 J335-3 23 32.6

12 8 .7 2 16 2.92

23 D i 6 59 .19 0 6 24.63 0 4 1 4 3 .1 128.69 16 2.65

24 25 26

M i D o F r

6 40.98 6 22.69 6 4.33

0 10 2 .9 7 0 13 4 1.2 3 0 1 7 19.4 3

1 5 22.6 1 29 0.2 1 52 35-5

128 .6 7 128 .6 5 128 .6 4

16 2.38 16 2 .I I 16 1.84 27 S a + 5 45-93 0 20 5 7.5 8

3 38-13 238.13

+ 2 16 8 .1 23297 23 26.4 23 22.8 23 18.9

128 .63 16 1 .5 7

28 St 5 2 7 .5 0 0 2 4 3 5 .7 1 2 39 37.8 128 .63 16 1.30

29 Mo 5 9.08 0 28 13 .8 4 J J 3 38-16 33$-21

3 3 4-2 ^{128 .64 1 6 1.03}

30 D i 4 50.69 0 3 1 52.00 3 26 27.0 128 .65 16 0 .75

31 M i 4 32-34 0 35 30 .21

3 38.28 3 49 45-9

23 I4.6

12 8 .6 7 16 0 .47 A p r i l 1 D o + 4 14.06 0 39 8.49

3 38-37 3 38-5°

3 38-64 3 38.80

+ 4 23 0.5 23 10.1 23 5.2 23 0.0 22 54.5

128 .6 9 16 0 .19

2 F r 3 55.88 0 42 46.86 4 36 10.6 12 8 .7 2 15 59.9 1

3 4

S a S t

3 37-83 3 29-92

0 46 2 5.3 6 0 50 4.00

4 59 25-8 5 2 2 15.8

12 8 .7 6 128.80

1 5 59.63

*5 59-35 5^{Mo 3 2 .1 6} 0 53 42.80 j j ^

338-99

5 45 20.3 128 .8 5 15 59.07

22 48.7 6

7 8

D i M i Do

+ 2 4 4 .5 9 2 2 7.2 3 2 1 0 .1 0

0 5 7 2 1 .7 9 1 1 0.98 1 4 40.40

3 39-19 339-42 339-65

+ 6 7 59.0 6 30 4 1 .4 6 53 1 7 .2

22 42.4 22 35.8 22 29.O

128 .90 128 .9 6 129.0 2

15 58.79 1 5 5 8 .5 1 15 58.23

9 ^{F r 1 53.20 1 8 20.05}

339-91 7 25 46 .2

22 2I.7 129.0 9 1 5 57-94

10 S a 1 36.55 1 1 1 59.96 7 38 7-9 ^{1 2 9 .1 6} 15 57.6 6

St

3 40-18 22 I4.O

1 1 + 1 2 0 .1 7 1 15 4 0 .1 4

3 40.46 + 8 0 2 1.9

22 6.0 12 9 .2 4 15 57-39

12 Mo 1 4.08 1 1 9 20.60

340-76 8 22 2 7.9 21 57-7 21 48.8 21 39-8

12 9 .3 2 15 5 7 .1 1

*3 14

D i M i

0 48.29 0 3 2 .8 1

1 23 1.3 6 1 26 42.43 341-0?

3 41-40

8 4 4 25.6 9 6 14 .4

12 9 .4 1 12 9 .5 0

1 5 56.84 1 5 56-57

*5 ^{D o} 0 1 7 .6 5 1 30 23.83 9 2 7 54-2 ^{129 .6 0 15 56.30}

16 341-73 ^{21 30.4}

F r + 0 2.83 1 3 4 5-5_{6 3 42.08} ⁺ 9 49 24.6 21 20.5 21 10.4 2° 59.9

12 9 .7 0 15 56.04 1 7

18 S a S t

—0 1 1 .6 4 0 2 5.7 5

2 37 47-64 1 4 1 30.09 342-45

3 42-82

10 1 0 4 5 .1 20 3 1 55.5

12 9 .8 1 129 .9 2

15 55-77 15 55-51

*9 20

Mo D i

0 39.49 0 52.84

1 45 12 .9 1

1 48 5 6 .1 1 3 43.20 20 52 55.4

2 1 13 4 4 .4 20 49.O 130.02 1 3 0 .1 5

15 55-25 15 54.99

— 1 5.80 1 18 .3 4

3 43-6o 20 37.8

2 1 22

M i D o

1 52 39-72 1 56 2 3 .7 2 344-oJ

344-44 344.87

+ 1 1 3 4 22.2 1 1 54 48.6 20 26.4

20 I4.5 20 2.3

13 0 .2 7 130.40

15 54-74 1 5 54.49

23 F r 1 30.46 2 0 8 .16 1 2 15 3 .1 130.53 1 5 54.24

24 Sa 1 4 2 .15 2 3 53.03

345-31 22 35 5-4 _{19 49.8} ^{130.6 6} 15 53-99

25 S t 1 53-39 ^{2 7 38.34} 1 2 54 55.2 130.80 T5 53-74

SONNE 1915. ⁹

M i t t l e r e r B e r l i n e r M i t t a g . Monats

und Sternzeit Mittleres Ä qu. 19 15.0

Lg. Rad. y. Diff

Nut. ö

in

o".oi

Jahrestag ^{Länge Di ff.} Breite d l de

März

17 76 h m s

23 35 46.12 3 5 5 V A87 594M4 59 40-29 59 38-1°

5935-87 5933-6j

-+-0-53 9 .9 9 7 9 H 7 - 4 ^{+ 8} 18 77 23 39 42.67 356 46 49.31 + 0 .6 0 9.9980320 1203

1203 1204 1206

- x3 ^{+ 6} 19 78 23 43 39.23 357 46 29.60 + 0 .6 5 9-998 i 523 ^{- 1 8} 4 -2 20 79 23 47 35.78 358 46 7.70 + 0 .6 7 9.9982727 — 20 — 2 21 80 23 51 32-33 359 45 43-57 ^{+ 0 .6 7 9.9983933} ₁₂₀₈ - 1 7 ^{— 6} 22

.. 23 24

81 82 83

23 55 28.89 23 59 25.44

O 3 2I.99

0 45 17.18 1 44 48.51 2 44 17-54

593!-33 5929-03 59 26.71 59 24-40

+ 0 .6 4 + 0 .5 8 -4-0.50

9-9985 r4 i 9.9986351 9.9987563

1210 1212 1215 1220

— 12 - 4 + 4

- 8 - 9 - 8

25 ^{84 0 7 18.55} 3 43 44-25 ^{+ 0 .4 0 9.9988778 + 1 1} - 5

26 85 0 1 1 15.10 4 43 8.65 -4*0.28 9.9989998 + 1 3 — 1 27

28 86 87

0 15 11.65 0 19 8.21

59 22.11 1225

5 42 30.76 6 4 1 50.60 59 19-84

59 17-61 59 15-43 59 13-32

+ 0 .1 5 + 0 .0 2

9.9991223 9.9992454 1231

1238 1245 1252

+ 1 3 -4- 8

+ 3 4 -6

29 88 0 23 4.76 7 4 1 8.21 — O .II 9.9993692 + 1 + 8

30 89 0 27 1.3 1 8 40 23.64 — 0.23 9.9994937 - 7 + 9

31 ⁹⁰ 0 30 57.87 9 39 36 -96 - 0 . 3 3 9.9996189 - 1 5 + 7

A p r il 1

2 3

91 92 93

0 34 54.42 0 38 50.98 0 42 47.53

10 38 48.24 i r 37 57-57 12 37 5.03

59 11.28 59 9-33 59 7-46 59 5 65 59 3-88

— 0.41 - 0 . 4 7 - 0 .4 9

9.9997448 9.9998714 9.9999986

1159 1266 1272 I275 1277

— 20

— 21 - 1 9

+ 5 4- i - 3 4

5 94 95

0 46 44.08 0 50 40.64

13 36 10.68 14 35 14.56

— 0.48 - 0 . 4 4

0.0001261 0.0002538

— 12 - 3

- 7 - 9 96

97

59 2.13 1278

6 7

0 54 37.19 0 58 33-75

15 34 16.69 16 33 17.08 59 0.39

58 58.66

— 0.36

— 0.26

0.0003816 0.0005093 1277

1274 126g 1263

-4- 8 + 1 7

- 9 - 7 8 98 1 2 30.30 17 32 15.74

58 56.91 58 55-14

— 0.14 0.0006367 + 2 4 - 4

9 99 ^{1 6 26.85} 18 31 12.65 — 0.01 0.0007636 + 2 7 0

10 100 1 10 23.41 19 30 7.79 5853-32

-4-0.12 0.0008899

1256 -t-25 + 4 11 101 1 14 19.96 20 29 i.i i

58 51.46 + 0 .2 5 0.0010155

1248 + 1 9 + 7 12 102 1 18 16.52 21 27 52.57 58

40.

c6 + 0 .3 7 0.0011403

1238 + 1 0 + 9 13 I 0 3 1 22 13.07 22 26 42.13

58 47.63 S8 45-65 58 43.63

+ 0 .4 7 0.0012641 J

1228 0 + 9 14 104 1 26 9.62 23 25 29.76 + 0 .5 5 0-0013869

1218 - 9 + 7 15

io5

^{1 30 6.18} 24 24 15.41 -t-0.60 0.0015087 — 16 + 3

16 106 1208

1 34 2.73 25 22 59.04 58 41.56 58 39.46 5837-34 58 35.19

-4-o.63 0.0016295

” 97 1187

” 77 1168

- 1 9 — 1 17 ¹⁰⁷ 1 37 59.29 26 21 40.60 -4-0.63 0.0017492 - 1 8 — 5 18

*9 108 109

1 4 1 55.84 1 45 52.40

27 20 20.06 28 18 57.40

+ 0 .6 0 + 0 .5 5

0.0018679 0.0019856

- 1 3 - 6

- 7 20 110 1 49 48.95 29 17 32-59 - 9

58 33-03

+ 0 .4 8 0.0021024

1158 + 2 - 8 21

22 i n 112

1 53 45-51 1 57 42.06

30 16 5.62 3 1 14 36.47

58 30.85 58 28.67

+ 0 .3 9

•+0.28

0.0022182 0.0023332 1150

1142 1136 1130

+ 9 + 1 3

- 6 - 3 2 3

! I 3

_{2 1 38.62 32 13 5-x4}

58 26.5O -t-0.15 0.0024474 + 1 3

4 - i

24 114 2 5 35-x7 33 1 1 31.64

58 24.34 + 0 .0 1 0.0025610 + 1 0 + 5

25 115 2 9 3^-73 34 9 55-98 — 0.12 0.0026740 + 4 4 -8

10 SONNE 1915.

M i t t l e r e r B e r l i n e r M i t t a g . Monats-

und Zeitgleichung

M. Zt. — W. Zt. S c h e in b . A lt. Ditf. S c h e in b . D ekl. Di ff.

Durchg.- Daucr H a lb m.

Wochentag St.-Zt.

A p r il

24 Sa —i ' V i s

h m a

2 3 53-°3 ^{ni a} 3 45-31 3 45-77

+ 1 2 ° 35' 5 4 1949.8

!9 37-°

i3o!ö6 15 ' 53-99

25 St 1 53-39 2 7 38-34 12 54 55.2 130.80 15 53-74

26 27

Mo Di

2 4 .17 2 14.49

2 1 1 2 4 .11 2 15 io-35 3 46-24

3 46-72

13 14 32.2 13 33 56.1 ^1913.9

19 10.6 130.94 131.08

*5 53-49

*5 53-24

28 Mi 2 24.33 2 18 57.07 23 53 6.7 131.23 15 53.00

— 2 33.66

3 47-22

+ 1 4 12 3.6 1856.9

29 Do 2 22 44.29

3 47-74 348-26

l8 A-’.Q131.38 15 52-75 30 F r 2 42.48 2 26 32.03 14 30 46.5 ‘t —7

l828.6 I3 I -53 ^{15 52.52} M a i 1 Sa 2 50.77 2 30 20.29 ₃₄

S.80 14 49 15 .1

l8 I4.O131.68 15 52.27 2 S t 2 58.52 2 34 9-°9

3 49-35 15 7 29.1

x7 59-2 131.83 15 52.03 3 ^Mo 3 5-72 2 37 58-44 15 25 28.3 131.99 ₁₅ 52-79

Di - 3 12.36 2 4 1 48.36 3 49-92 x7 44-o

4 3 50-49

3 5x-o6

+ 1 5 43 12.3 17 28.5 x7 x2*7

132.15 15 5i-55

5^{Mi 3 18.43} 2 45 38 -85 ^{16 0 40.8 132.31 15 51.3 1}

6 Do 3 23-93 2 49 29.91 ₂ ^1.64 16 17 53.5

16 s6.6 132.47 15 51.07 7^{F r 3 28.84 2} 53 21.55 ^{j d - *}

352-22 16 34 50.1 ^j

1640.2 132.64 15 50.84 8 Sa 3 33-T7 2 57 13-77 16 51 30.3 132.80 15 50.61

— 3 36.92 3 40.08

352-81 1623.4

132.96 133.12 9

10 S t Mo

3 1 6.58 3 4 59-98 3 53-4°

3 53-98 3 54-57 3 55-14

+ J 7 7 53-7 27 23 59-9

16 6.2 K 48.8

15 50.38 15 50.17 11

12 Di Mi

3 42.66 3 44-65

3 8 53.96 3 12 48.53

17 39 48.7 27 55 29.9

j *1 1531.2

‘5 r 3->

133.29

*33-45

15 49.95 15 49-73

13 ^{Do 3 46.06} 3 16 43.67 18 10 33.0 133.62 15 49.52

3 55-73

+ 1 8 25 27.8 14 54.8 14 F r — 3 46.89 3 20 39.40

3 56-30 14 26.2 133.78 15 49.31

15 ^Sa 3 47-15 3 24 35.70 356-86 3 57-43 357*98

18 40 4.0 x4 x7-2 13 58.0 x3 3^-5

133.94 15 4 9 .11 16

17 St Mo

3 46.84 3 45-97

3 28 32.56 3 32 29.99

18 54 2 1.2 19 8 19.2

13 4 .11 134.27

15 48.91 15 48.72 18 Di 3 44-54 3 36 27.97

358-53 29 2 1 57-7

1318.8 134-43 ^{15 48.54}

*9 20

Mi Do

1 OOOA 42* 42- P P Ö ^ -4 3 40 26.50 3 44 25.57 3 59-°7

3 59-6o

+ 2 9 35 i 6 -5 29 48 15-3

1258.8 12 -28.s

134-59 134-74

15 48.35 15 48 .17 21

22 F r Sa

3 37-°2 3 3 3-4Ö

3 48 2 5.17 3 52 25.29

4 0.12 4 0.63

20 0 53.8 20 13 1 1 .7

1217.9 n 57.2

134.89 135.04

15 47.99 15 47.81

23 S t 3 29.38 3 56 25.92 20 25 8.9 I35-I 9 ^{15 47.64}

4 1-14

+ 2 0 36 45.1 20 48 0.0

1136.2 24

25 Mo Di

- 3 24.79 3 I9-7I

4 0 27.06 4 4 28.70

4 1.64

A 1 .1 2

1114 .9 10 53-5 1031.9 1010.0

I35-34 135-49

15 47.48 15 47-32 26

27 Mi Do

3 I4-I 4 3 8.09

4 8 30.83 4 12 33-44

4 2.61

4

3-°8

20 58 53.5 21 9 25.4

i35-6 3 135-77

15 47-15 15 46.99 28 F r 3 i-57 4 16 36.52 2 1 19 35.4 135-9° 15 46.83

4 3-55 9 47-9

136.03 29 Sa - 2 54-58 4 20 40.07

4 4.01 4 4-46 4 4-91 4 5-34

+ 2 1 29 23.3 9 ^5-7 9 3-3 840.7 817.8

15 46.68

30 S t 2 47-13 4 24 44.08 21 38 49.0 136.16 15 46.52

. 3 1

Mo 2 39.22 4 28 48.54 2 1 47 52.3 136.28 15 46.38

J u n i 1

Di 2 30.87 4 32 53-45 21 56 33.0 136.40 15 46.23 2 Mi 2 22.09 4 36 58-79 22 4 50.8 13 6 .5 t 15 46.09

SONNE 1915. 11

M i t t l e r e r B e r l i n e r M i t t a g . Monats­

und Sternzeit Mittleres Äqu. 1915.0

L g . l l a d . v. Diff.

N ut. « in o " .o i

— fahrest.» p Lange Diff. Breite a x d e

A p r i] 24 114 2 ^h 5 35.17^{m s} 33° 1 1 31 ”64 58 24-34 58 22.21 58 20.18 58 18.20

-f-O .O I 0.0025610 1130 II25 112,1

-4-10 + 5 25 ¹¹⁵ ₂ 9 32-73 34 9 55-98 ^{— 0.12 0.0026740} + 4^{+ 8} 26 n 6 2 13 28.28 35 8 18.20 — O.24 0.0027865 _- 4 4 -9 27

28 1 1 7 n 8

2 1 7 24.84 2 21 21.39

36 6 38.38 37 4 56 -58

- ° - 3 5 - 0 . 4 4

0.0028986

0.0030103 1I I7 - 1 3 - 1 9

+ 8 4 -6

29 n 9 2 25 17.95 38 3 12.89 ^{58 16.31 III4}

58 14.51 - 0 .4 9 0.0031217

1 112 — 224 -2 3°

M a i 1 2

120 121 122

2 29 14.50 2 33 11.06 2 37 7.61

39 1 27.40 39 59 40.20 40 57 51.39

58 12.80 58 II.19 58 9.67

- 0 . 5 1

— 0.50

—0.46

0.0032329 0.0033438 0-0034543

IIO9 IIO5 lc99

— 21 - 1 5 - 6

— 2 - 6 - 8 0O 123 2 4 1 4-27 4 1 56 1.06 - o -39 ^0.0035642 + 5 - 9

58 8.20 1092

4 124 2 45 0.72 42 54 9.26 58 6.78 53 5.38 58 4.01 58 2.64

— 0.30 0.0036734

1:083 + 1 5 ^{- 8} 5 125 2 48 57.28 43 52 16.04 — 0.19 0.0037817

I073 1061

+ 2 3 “ 5 6 126 2 52 53.84 44 50 21.42 — 0.06 0.0038890 + 2 6 —1 7 127 2 56 50.39 45 48 25.43 + 0 .0 7 0.0039951

I047 ^4-26 + 3 8 128 3 0 46.95 46 46 28.07 + 0 .2 0 0.0040998 -1-22 + 6

58 I.27 I033

9 ¹²⁹ 3 4 43-5° 47 44 29.34 + 8 5759-33 57 58-46 5757-02 5755-56

+ 0 .3 2 0.0042031

1016 + 1 3 10 130 3 8 40.06 4.8 42 29.22 + 0 .4 2 0.0043047

999 981 963

+ 4 + 9 11

12

!3I 132

3 12 36.62 3 2 6 3 3 .17

49 40 27.68 50 38 24.70

-60.49 + 0 .5 4

0.0044046 0.0045027

- 6 - i5

+ 7 + 5 13 133 3 20 29.73 51 36 20.26 + 0 .5 7 0.0045990 - 1 8 4- i

14 5754-°7

0.0046934 ⁹⁴⁴ 234 3 24 26.29 52 34 14.33

575^-56 575!-°3 5749-47 5747-39

+ 0 .5 7

925 905 886 867

- 1 9 - 3 15

16 17 18

135 136 r 37 138

3 28 22.84 3 32 29.40 3 36 2 5 .9 6 3 40 12.51

53 32 6.89 54 29 57.92 55 27 47-39 56 25 35.28

+ 0 .5 5 + 0 .5 0 + 0 .4 3 + 0 .3 4

0.0047859 0.0048764 0.0049650 0.0050517

- 1 5 - 8

0 + 7

- 9 - 9 - 7

J9 57 23 21.58

57 46-30 849

139 3 44 9-°7 _{57 44.69} ^{+ 0 .2 3 0.0051366} ₈₃₁ ^-4-12 —4

20 140 3 48 5-6 3 ^{58 2 1 6.27}

5743-°8 4 -0 .10 0.0052197

813 + 1 3 0 21 141 3 52 2.19 59 18 49-35 574J-47

57 39*87

—0.04 0.0053010 797 781 767

+ 1 1 4 - 4 22 142 3 55 58-74 60 16 30.82 — 0.17 0.0053807 + 5 + 7 23 ¹⁴³ 3 59 55-3° 61 14 10.69

57 38-30

— 0.29 0.0054588 — 2+ 9 24 144 4 3 52-86 62 1 1 48.99

57 36.78 - 0 . 3 9 °-°°5 5 3 5 5 753 742 73i 721

— 10 + 9 25 *45 4 7 48-42 63 9 25-77

5735-31 5733-92 57 31-63

- 0 . 4 7 0.0056108 - 1 8 + 7 26

27 146 147

4 1 1 44-97 4 15 41-53

64 7 1.08 65 4 3 5-°°

- 0 . 5 3

— 0.56

0.0056850 0.0057581

— 22

— 22 + 3

— 1 28 148 4 19 38-09 66 2 7.63 — 0.56 0.0058302 - 1 8 - 5

29 573M 6 710

149 4 23 34.65 66 59 39.09

57 30.40 - 0 . 5 3 0.0059012 700 689 677

— 10 - 7 30 150 4 27 31.20 6 7 57 9.49

57 29-44 57 28.57

— 0.46 c.0059712 4- 1 - 9 J u n i 3 i 251 4 3 1 27.76 68 54 38.93 - 0 . 3 7 0.0060401 + 1 1 - 8

152 4 35 24-32 69 52 7.50

57 27-77 ^{— 0.26 0.0061078 664 + 2 0 — 6} 2 r 53 4 39 20.88 70 49 35.27 — 0.13 0.0061742 + 2 5 - 3

I 2

3

4

5

6

7

8

9

i o i i 12 13 14 I 5 16

*7 18

x9

20 21 22 23 24

*5

26 2 7 28 29 30 1 2

3

4

5

6

7

8

9

10

SONNE 1915.

M i t t l e r e r B e r l i n e r M i t t a g . Z eitg leich im g

M. Zt. — W . Zt. Scheint». AR. Scheint). Dekl.

— 2 8

30.87

1

4 m a 32 53.45 2 22.09 4 36 58.79 2 12.89 4 4i 4-55 2 3.29 4 45 i ° -7i

I

53.30 4 49 x7-25

—

I

42.95 4 ^{53 24.16} I 32.25 4 57 3r -42 I 21.23 5 ^{1 39.00} I 9-91 5 ^{5 46.88}

O

58.30 5 9 55-°4

—

0 46.44 5 ^{14 3.46}

O

_{34-35 5} 18 1 2 .1 1 0 22.06 5 ^{22 20.96}

—O

9.58 5 ^{26 30.00} + 0 3-°5 5 ^{30 39.19}

4-o

15.81 5 34 48-5°

0 28.67 5 ^{38 57.92} 0 4 1.6 1 5 43 7-42 0 54-59 5 4 7 26.96 1 7-59 5 ^{51 26.52} + 1 20.59 5 55 36-08 1 33-57 5 59 45-6 2 1 46.51

6

_{3 55-11} 1 59-38

6

8 4.54 2 12 .15

6

12 13.87 + 2 24.81

6

16 23.09 2 37-35

6

20 32.19 2 49-75

6

24 4 1.15 3 ^2.00

6

_{28 49-95}

3

^14.06

⁶

32 58-57

+ 3

^25.92

^{6 37}

^6.99 3 ^37.56

6

4 1 15.19

3

^48.97

⁶

^{45 23.16} 4

°*I 3 ⁶

^{49 30.88} 4 ^{11.0 1}

6

_{53 38-31} + 4 ^21.58

6

_{57 45-44} 4 ^31.83

7

^{1 52.25}

4 4 1.7 4

7

5 58-72

4

^51.29

7

^{10 4.83} 5 ^0.45

7

^{14 10.55}

ra 3 45-34 45-76 4 6.16 4 6-S4 4 6-9T 47-26 47-58 4 7.88 4 8.16 4 8-42 4 8.65 48-85 49-°4 49-T9 49-31 49-42 49-5° 49-54 49-56 49-56 49-54 49-49 49-43 49-33 49-22 4 9.10 4 8.96 4 8.80 4 8.62 4 8.42 4 8.20 47-97 47-72 47-43 47-I3 4 6.81 46-47 4 6.11 45-72

+ 2 1 56 33.O 22 4 50.8 2 2 1 2 45 .6 2 2 20 17 .2 22 2 7 2 5.4 + 2 2 34 1 0 .1 2 2 40 3 1 . 1 2 2 46 28.3 22 52 i-5 22 57 ^10.6 + 2 3 1 55-4 23 6 15 .9 23 10 12.0 23 J 3 ^43.6 23 1 6 50.5 + 2 3 1 9 32.9 23 2 1 5°-5 23 23 43-3 2 3 25 1 1 .4 23 26 14 .7 + 2 3 26 53.2 23 2 7 7.0 23 26 56.0 2 3 26 20.3 23 25 19.8 + 2 3 23 54-7

23 22 4.9

23 '9 5°-5 2 3 1 7 1 1 .6 23 14 8 .1 + 2 3 10 40.2

23 6 48.0

23 2 3i-5 22 57 ^50.8 22 52 4 6 .1 + 2 2 47 17-5 22 4 1 2 5.0

22 35 ^8.8

22 28 2 9 .1 22 2 1 2 6 .1

8 17.8 7 54-8 7 31-6 7 8.2 6 44.7 6 21.0 5 57-2 5 33-2 5 9-i 4 44 4 2°-5 3 56-1 3 31-6 3 6.9 2 42.4 2 17.6 1 52.8 1 28.1 1 3.3 o 38.5 0 13.8 O II.O 0 35.7 1 0.5 1 25.1 I 49.8 2 + 4 2 38-9 3 3-5 3 27.9 3 52-2 4 i6-5 4 4°-7 5 4-7 5 28.6 5 52-5 6 16.2 6 39.7 7 3-o

SONNE 1915. ¹³

M i t t l e r e r B e r l i n e r M itt a g .

Monats und -

S t e r n z e it M ittle r e s Ä q u . 1 9 1 5 .0

L g . R a d . v . Diff.

Nut.

in 0"

G

— Jahrestag Länge Diff. Breite dX 01de

J u n i i 15 2

h ni »

4 35 24-32 69° 52' 7.50 5727-77 5727-°4 57 16.36 57 25.70

— 0.26 0 .0 0610 78 664 649 632

+ 2 0 - 6 2,

3

*53 J 54

4 39 20.88 4 43 27-44

7 0 49 3 5.2 7 72 4 7 2 .3 1

— 0 .I3 0.00

0 .0 0 6 174 2 0 .0 062391

+ 2 5 + 2 7

- 3 + 1 4

5 255 15 6

4 47 23-99 4 52 20.55

7 2 4 4 28.6 7 73 42 54-37

+ 0 . 1 2 + 0 . 2 4

0.0063023

0.0 063637 614 + 2 4 + 1 7

+ 5 + 8 57 25-05

0.0064232 6 257 4 55 7-22 74 39 29-42 595

57 24-41 57 23-78 57 23-15 57 22.50

+ O .3 4

574 552 530 508

+ 7 + 9 7 ^{15 8} 4 59 3-6 7 75 36 43-83 + 0 .4 2 0.0064806 - 3 ^{+ 8}

8 259 5 3 °-23 ^{7 6} 34 7-62 ^{+ O .4 7 0.0065358 — 1 2 + 6}

9 ¹⁶⁰ 5 6 56-79 7 7 3 1 30.76 + O .5 O 0.0065888 - 1 7 + 2

IQ 1 6 1 5 20 53.3 4 78 28 53.26 + O .5 O 0.0066396 J

484

- 1 9 — 2

16 2 57^21.05

I I 5 24 4 9-9° 7 9 26 1 5 .1 1 57 21.18 57 20.49 cn

+ O .4 7 0.0066880 459 435 410 3S5

— 16 — 6

12 263 5 18 46.46 80 23 36.29 + 0 . 4 2 0.0067339 — 10 - 8

13 ^{16 4} 5 2 2 43.02 8 1 20 56.78 + 0 .3 5 0 .0 0 6 77 74 — 2 - 9 14 ¹⁶⁵ 5 26 39.58 82 1 8 16 .5 6 ^j/ 7 /

+ 0 .2 6 0 .0068184 + 6 - 8

*5 ¹⁶⁶ 53° 36-24 83 25 3 5-6° 57^19.04

+ 0 . 1 5 0.0068569 + 1 1 - 5

16 1 6 7 57^{18.30 36l}

5 34 32-69 84 1 2 53.90 57 57 57 57

17-54 16.78 16.01

+ 0 .0 3 0.0068930 337 3H 291 270

+ 1 4 — 1

*7 ¹⁶⁸ 5 38 29.25 85 10 1 1 .4 4 — 0 .1 0 0.0069267 + 1 2 + 3

18 169 5 42 2 5.8 1 86 7 28.22 — 0.24 0 .0 06958 1 + 8 + 6

1 9 1 7 0 5 46 2 2 .3 7 87 4 44-23 _15.24 ^{- 0 . 3 7 0.0069872 + 1 + 8}

20 272 5 5 ° 28.93 88 1 59.47 — 0.48 0 .0 0 70 14 2 — 8 + 9

2 1 57 14.48 250

1 7 2 5 54 25.49 88 59 23-95 — 16 57 57 57 57

13.76 13.08

- ° - 5 7 ^{0 .0070392} ₂₃₁ 214 197 182

+ 7

22 273 5 58 12-04 89 56 2 7 .7 1 — 0.63 0.0070623 — 22 + 5

23 274 ^{6 2 8.60} 90 53 40 .79 12.48 n.95

— 0.66 0.0070837 — 22 + 1

24 275 ^{6 6 5 .1 6} 92 5° 53-27 ^{— 0.67} 0 .0 0 7 10 3 4 — 20 - 3

2 5 ^{1 7 6 6 10 1 .7 2 92 48 5.22 — 0.64} 0 .0 0 7 12 16 — 12 - 7

26 57 11.51 169

277 6 1 3 58.28 93 45 26.73 57 57 57 57

n .19 10.97 10.85 10.84

— 0.58 0 .0 0 7138 5 155 141

- 3 - 9

00ct cJ 17 8

279

6 1 7 54.84 6 2 1 5 1 4 0

9 4 42 2 7.92 95 39 38-89

- 0 . 4 9 - ° - 3 7

0 .0 0 7 154 0 0 .0 0 7 16 8 1

+ 8 + 1 7

- 9 - 7

29 180 6 25 47.95 96 36 4 9 .74 —0.24 0 .0 07180 8

112 + 2 4 - 4

30 18 1 6 2 9 4 4 .5 1

97 34 o-5

8 ^{—0 .10} 0 .0 0 7 192 0 + 2 6 0

J u li 1 2 3 4

5

18 2 183 18 4 183 18 6

6 33 42-07 6 37 37-63 6 4 1 3 4 .19 6 45 30-75 6 49 2 7 .3 1

98 3 1 1 1 .5 0 99 28 22.59 100 25 33.89 10 1 22 45.43 10 2 1 9 57.2 2

57 57 57 57 57

10.92

ü

.09 n .3 0 n .5 4 n .7 9

+ 0 .0 3 + 0 . 1 5 + 0 . 2 6 + 0 .3 5 + 0 . 4 1

0.0 0 720 16 0.0072095 0 .0 0 7 2 15 6 0 .0 0 7 2 19 7 0 .0 0 7 2 2 17

96 79 61 41 20

+ 2 4 + 1 9 + 1 0

+

1 - 9

+ 4

+ 7 + 9 + 9 + 7

18 7 57

I

2

.c

8 2

6 6 53 23.86 203 1 7 9.30

57 57

12.37 12.66

+ 0 .4 5 0 .0 0 7 22 15 14 48

- 2 5 + 3 7

Q

¹⁸⁸ 6 5 7 20.42 10 4 1 4 2 1 .6 7 + 0 .4 6 0 .0 0 7 2 19 1 - 1 8

—

1

<5

189 7 1 16.9 8 205

n 34-33

₅₇

57 12.97 13.16

+ 0 .4 5 0 .0 0 7214 3 73 97

— 16 - 5

9

¹⁹⁰ _{7 5 23.54} 106 8 4 7 .3 0 + 0 . 4 1 0 .0072070 — 12

- 7

10 292 7 9 10 .10 1 0 7 6 0 .56 + 0 . 3 4 0 .0 0 7 19 73 - 4 - 9

14

SONNE 1915.

M i t t l e r e r B e r l i n e r M i t t a g . Monats

und Zeitgleichung

M. Zt.— W. Zt. S c h e in b . A R . Diir. S c h e in b . D el;]. Diff.

Durchg.- Dauer H a lb m .

Wochentag St. - Zt.

J u l i 9 IO

F r S a

+ 4n’5i-29 5 °-45

h m "0 7 1 0 4.83 7 74 10.55

m 5 4 5-72 4 5-3i 4 4-^9 4 4-44

+ 2 2 ° 2 8 29.I 22 21 2Ö.I 7 3*c

7 26.2 749-3 8 12.0

136-58 136.47

15 ' 43.84 15 43.86

i i S t 5 9-2 1 7 18 15.86 22 13 59.9 i36 -35 ^{15 43.88} 12

J 3 Mo D i

5 77-54 5 25.42

7 22 20.75 7 26 25.19

22 6 10.6 21 57 58.6

136.23 136.10

15 43-92 15 43-95

4 3-98 8 34-7

14 ^{M i} + 5 32.84 7 3o 29.17 4 3-5° 4 2-99 A 1 a8

+ 2 1 49 23.9 8 57-i 9 19.2 9 402 10 2A

135-97 15 44.00 15 ^{D o} 5 39-78 7 34 32-67 2 1 40 26.8 135-83 15 44.05 16 F r 5 46.22 7 38 35-66 21 3 1 7.6 135-69 15 44.10

*7 ^{S a} 5 52-14 7 42 38-14

4 J-95 21 21 26.4 135-55 15 44.16 18 S t 5 57-53 7 46 40.09 21 I I 23.5 135-40 15 44.23

4 1.40 10 24.4

7 9^{Mo 4 -6 2.37} 7 5° 41-49 _{4 0.84} ^{+ 2 1 0 59.I} _{10 45.6} ^135.25 15 4 4-3° 20

21 22

D i M i D o

6 6.65 6 10.37 6 13 .51

7 54 42-33 7 58 42.60 8 2 42.30

4 0.27 359-7° 359-12

20 50 13.5 20 39 7.0 20 27 39.6

i i 6.5 1 1 2 7 .4 11 47.9

135.10 134-95 134.79

15 44-37 15 44.45 15 44-53

23 ^{F r} 6 16.07 8 6 41.42 20 15 5 I.7 134.63 15 44.61

358-53 ^{12 8.1}

24 25 26

S a S t Mo

+ 6 18.05 6 19.43 6 20.22

8 10 39-95 8 14 37-89 8 18 35.24

357-94 357-35 356-76 356-17

+ 2 0 3 43.6 19 51 15-5 19 38 27.5

12 28.1 12 48.0 13 7-5 13 26.8

134.46 134.29 134-13

15 44-70 15 44-79 15 44.89 27 D i 6 20.43 8 22 32.00 19 25 20.0 133.96 15 44.99 28 M i 6 20.04 8 26 28.17

355-58

19 I I 53.2 133-79 15 45.09

45-9 29 D o + 6 19.06 8 30 23.75

35499 354-40 353-81 353-23

+ 18 58 7.3 14 4.6 14 23.2 14 41.5 14 59.6

133.62 15 45-19

30 F r 6 17.49 8 34 18.74 18 44 2-7 133-45 15 45-29

31 ^{S a} 6 15.34 8 38 13 .14 18 29 39.5 133.28 15 45.40 A u g . 1 S t 6 12.60 8 42 6.95 18 14 58.0 133.10 15 45-51

2 M o 6 9.27 8 46 0.18 17 59 58-4 ^132.93 15 45-63

-I-6 5-35 8 49 52.82 3 52-64 15 r7-3 3 ^{D i}

3 52-05 35M7 3 50.88

+ 1 7 44 41.1 J534-7 15 51.8 16 8.7

132.76 15 45-75 4 ^{M i 6 0.85} 8 53 44-87 ^{1 7 29 6.4 132.59 15 45.88} 5^{D o} 5 55-76 8 57 36-34 17 13 14.6 132 .41 15 46.01

6 F r 5 50.08 9 1 27.22

3 50-29 16 57 5.9

16 25.3 132.24 15 46.14 7 ^{S a} 5 4 3-8i 9 5 17-51 16 40 40.6 132.07 15 46.28

349-71 16 41.4

8 S t + 5 36 -97 ^{9 9 7.22}

349+ 3 48-55

+ 1 6 23 59.2 16 57.4 17 I3.O

131.89 15 46.42 9 ^{M o} 5 29-55 9 12 56.36 16 7 1.8 13 1.7 2 15 46.57 10

1 1 12

D i M i D o

5 21.55 5 12.96 5 3-8o

9 16 44.91 9 20 32.88 9 24 20.28

3 47-97 347-40

15 49 48.8 15 32 20.5 15 14 37-3

17 28.3 17 43.2

131-55 131.38 131.22

15 46.72 15 46.88 15 47.04

3 46.83 17 57.8

l 3 ^{F r} -f-4 54.08 9 28 7 .1 1

3 46-27 + 1 4 56 39.5

l8 12.1 131.06 15 47.21 74

75 16

S a S t Mo

4 43-79 4 32-94 4 21.53

9 3i 53-38 9 35 39-°8 9 39 24-23

45-70 45-15 44.6a

14 38 27.4 14 20 I.4 14 I 21-9

l8 26.0 i g 39-5 18 52.8

130.90 130.74 130.58

15 47-38 15 47-55 15 47-73

77 ^Di 4 9-58 9 43 8.83 13 42 29.I 130.43 15 47-92

SONNE 1915.

¹⁵

M i t t l e r e r B e r l i n e r M i t t a g . Monats­

und S te rn ze it M ittleres Ä q u . 1 9 1 5 .0

L g . R ad. v. Diff.

Nut. ((

in o ”.oi

_ Jahrest-np- Länge Diff. Breite d l dt

J u li g IO

190 1 9 1

h m s

7 5 13-54 7 9 10.10.

10 6 8 4 7 .3 0 10 7 6 0 .56 57 n -'-b

57 13-55 57 13-83

+ 0 4 1 + 0 . 3 4

0.0072070 0 .0 0 7 19 73 97

113 148

— 12 - 4

- 7 - 9 1 1 19 2 7 J 3 6 -6 5 ¹⁰⁸ 3 1 4 .1 1 + 0 . 2 4 0 .0 0 7 18 5 0 + 3 ^{- 8} 1 2

J 3 m 19 4

7 1 7 3 .21 7 2 ° 59-77

10 9 0 2 7 .9 4 10 9 5 7 42.0 2

57 14.08 4 - 0 .1 3 4 -0 .0 1

0 .0 0 7 170 2

0 .0 0 7 152 8 174 -i-IO + 1 4

— 6 - 3 7 24 56 -33

5714-30

0 .0 0 7 132 8 2C 0

1 4 *95 1 1 0 5 4 56.32

57 I4-5I 57 14-69 57 14.86 5715-03

— 0 .1 2 226 + 1 4 4 -1

*5 16

19 6 1 9 7

7 28 52.89 7 32 49 .4 4

h i 52 10.83 1 1 2 49 2 5 .5 2

— 0.25

— 0.38

0 .0 0 7 110 2 0 .0070852

250 275 298

+ 1 0 + 3

+ 5 4 -8

*7 ¹⁹⁸ 7 36 46.00 1 1 3 46 40.38 - 0.50 0 .0 0 7 0 57 7 - 5 4 -9

18 199 7 40 42 .5 6 1 1 4 43 55-41 ^{— 0.60 0.0070279 — 1 4} 4 -8

*9

57 i5-2°

— 0 .67 0.0069959 320 200 7 44 39-12 1 1 5 4 1 10 .6 1 4 -6

5715-37 5715-57 57 15-81 57 16.1z

340 359 276

— 20 20 2 0 1 7 48 3 5 .6 7 1 1 6 38 25.9 8 — 0 .7 1 0.0 069619 - 2 3 4 -2

2 1 202 7 52 32-23 1 1 7 35 4 1 .5 5 — 0 .7 2 0.0069260 — 22 — 2

22 203 7 56 28.79 1 1 8 3 2 57.3 6 — 0.70 0.0068884 j/

393 — 16 - 6

23 ^{204 8 0 2 5.3 5} 1 1 9 30 13 .48 — 0 .64 0.0068491 - 7 ^{- 8}

57 i6 -5!

0.0068083 408 24 205 8 4 2 1.9 0 12 0 2 7 29.99

57 17-00 57 17-58 57 18.27 57 19-05

- 0 . 5 5

411 434 446 459

4- 4 - 9 25

26 206 2 07

8 8 18.4 6 8 1 2 15 .0 2

1 2 1 2 4 46.99 1 2 2 2 2 4 .5 7

- 0 . 4 4 - 0 . 3 1

0.0 067662 0.0067228

+ 1 4 + 2 2

- 8

- 5

OOr* ct 208

209

8 16 1 1 .5 7 8 20 8 .13

1 2 3 1 9 22.84 1 2 4 1 6 4 1.8 9

— 0 .1 7

— 0.03

0.0066782 0.0066323

+ 2 6 + 2 6

— 1 5719-93

+ 3

0 .0 06 5851 471

4 - 6 29 2 10 8 2 4 4.69 1 2 5 1 4 1.8 2

57 20.91 57 2i-97 57 23-07 5714-n

4 -0 .1 0

487 5° i 518 534

+ 2 2 30 2 1 1 8 28 1.2 5 1 2 6 1 1 22.7 3 4 -0 .2 2 0.0065364 + 1 4 4 -8 3*

A u g . 1 2

2 12 8 3 1 57.80 1 2 7 8 4 4 .70 4 -0 .3 2 0.0064862 +

3

+ 9

« 3 2 1 4

8 35 54.36 8 39 50.91

12 8 6 7 .7 7 12 9 3 3 1.9 8

4 -0 .3 9 4 -0 .4 4

0.0064344 0 .0063810

- 6 - 1 4

+ 7 + 4 5715-37

0 .0 063257 553

3

^{2 15} 8 43 4 7 .4 7 13 0 0 57.3 5

57 26.56 5717-77 57 18.99 573° - n

4 -0 .4 6

571 59i 612 633 654

- 1 7 ⁰ 4 ^{2 16} 8 4 7 44.03 13 0 58 2 3 .9 1 4 -0 .4 5 0.0062685 - 1 8 - 3

5

6 2 1 7 2 18

8 5 1 40.58 8 55 37-14

1 3 1 55 51.68 1 3 2 53 20.67

4 -0 .4 2 4 -0 .3 6

0.0062094 0 .0 06148 2

- 1 3

- 7 - 7

- 9

7 ^{2 1 9} 8 59 3 3.70 13 3 50 50.89 4-0 .2 8 0.0060849 4- 1 - 9

0 5731-44

ö 220

9 3 3°-25 13 4 48 22.33 57 31-65 5733-84 5734-99 57 36.11

4 -0 .1 8 0.0 060 195 677 6qq

+ 8 - 7 9 ^{2 2 1} 9 7 26.8 1 135 45 54-98 4 -0 .0 6 0 .0 0 59 518 + 1 3 - 4 10 2 22 9 1 1 2 3.3 6 13 6 43 28.82 — 0.07 0.0 058 819 v77

722 744

+ 1 4 0

1 1 223

9 1 5 I9-92 1 3 7 4 1 3.81 — 0 .21 0.0058097 + 1 1 + 4 1 2 224 9 1 9 16.48 13 8 38 39-93 ^{- 0 . 3 4} 0 .0 057353 +

5

+ 7

5737-13 ⁷⁶⁷

*3 1 4

225 226

9 23 13 .0 3 9 2 7 9 .59

1 3 9 36 1 7 .1 6 140 33 55.4 6 57 38-30

5739-33 57 40.34 5741-35

- 0 . 4 7

— 0.58

0 .0056586

°-°°5 5 7 9 7 789 809

—

4

— 1 2

4-9

4 -9 15

16 J 7

2 2 7 228 229

9 31 6-14 9 35 2 .70 9 38 59-25

1 4 1 3 1 34.79 14 2 29 1 5 .1 3 14 3 26 56.48

—0.66

— 0 .7 1

— 0 .72

0.0054988 0 .0 0 54 16 0

°-°0

53313

828 847

- 1 9 - 2 3 - 2 3

4 - 6

+ 3

— 1