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Volltext : 16, 1893

G.  Sack:  lieber  die  tägliche,  jährliche  und  elfjährige  Periode  etc.

5

Nur  die  Zahlen  der  5.  Spalte  sind  für  die  Jahre  1883—1887  den  „Results  of  Greenwich  Observations“
Tabelle  IX  Spalte  2  entnommen,  alle  übrigen  Angaben  sind  mir  von  Herrn  Christie  mit  folgendem  Begleitschreiben ­
  mitgetheilt  worden:
„  further  details  are  given  concerning  methods  of  working  up  the  results,  applying
them  to  reduction  of  the  observations  for  1887.
The  mean  of  the  twelve  monthly  Horizontal  Force  ordinates  by  the  registering  instrument
in  the  year  1887  for  the  times  corresponding  to  the  observations  of  absolute  horizontal  force  is
517,  the  mean  of  the  corresponding  twelve  observed  values  of  absolute  horizontal  force  being
1.8175.  Taking  the  difference  between  the  mean  ordinate  517  and  the  several  mean  monthly
values  given  in  Table  XI  of  the  printed  volume  we  obtain  differences  for  each  month  which
multiplied  by  1.8175  give  corrections  to  the  mean  yearly  observed  absolute  horizontal  force,  by
application  of  which  mean  monthly  values  are  found  as  follows.

Mean  monthly
Horizont.  Force
Table  XI

Excess
above  517

Excess  X  1.8175
=  correction
to  1.S175

Mean  monthly
value  of
Horizont.  Force

467

-50

-  9

1.8166

471

-46

-  S

1.8167

483

-34

-  6

1.8169

521

+  4

+  1

1.8176

5S0

+63

+11

1.8186

553

+36

+  7

1.8182

597

+80

+15

1.8190

547

+30

+  5

1.S1S0

607

+90

+16

1.8191

557

+40

+  7

1.8182

533

+16

+  3

1.8178

432

—85

-15

1.S160

Mean  1.8177

Or  we  may  take  the  twelve  monthly  horizontal  force  ordinates  by  the  registering  instrument
for  the  times  corresponding  to  observations  of  absolute  horizontal  force  and  take  the  difference
between  each  and  the  corresponding  mean  monthly  values  (Table  XI)  so  obtaining  a  correction
which  multiplied  by  1.8175  gives  for  each  month  a  correction  to  the  observed  value  of  absolute
horizontal  force,  by  application  of  which  mean  monthly  values  are  found.

HorizontalForce  ordinate
by  registering  instrument
at  time  of  observation
of  absolute  horizont.  force

Monthly
value
Table  XI

Correction ­


Corr.
X  1.8175

Observed
absolute
value

Mean
monthly
value

391

467

+  76

+14

1.8145

1.8159

460

471

+  11

+  2

1.8125

1.8127

489

483

-  6

-  1

1.S148

1.8147

508

521

+  13

+  2

1.8175

1.8177

593

580

-  13

_  2

1.8182

1.8180

663

553

-110

-20

1.8218

1.8198

611

597

-  14

—  3

1.8184

1.8181

635

547

-  88

-16

1.8204

1.8188

682

607

—  75

-14

1.8205

1.8191

463

557

+  94

+17

1.8176

1.8193

400

533

+133

+24

1.8179

1.8203

313

432

+  119

+22

1.8164

1.8186

Mean  1.S177

The  two  methods  should  give  the  same  results.  The  first  depends  on  the  steadiness  of  the
bifilar  magnet  through  the  year,  in  the  second  any  accidental  error  in  the  determination  of  any
            
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