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David Strom Lei Ming Chen 14 Aug 2001 University of Oregon

Tidal fits

· E2 results · Oven mo del · Tidal Fits

With help from Eli Boggart (High Scho ol Student)

LIGO-G010370-00-Z


E2 Review · Select lo cks of at least 30 minutes and fit for a free offset for each lo ck p erio d. · Assume the tidal prediction (from Fred) is p erfect and scale the data. · Allow the common mo de and differential mo de signal to b e a linear of combination of CARM and DARM. Fit results: common = 4.7 CARM + 0.8 DARM diff = 1.4 CARM + 5.1 DARM Common Mo de
Graph
50 40 30 10 20 5 10 0 -10 -20 -30 0 1000 2000 3000 4000 5000 0 -5 -10 -15 -20 0 1000 2000 3000 4000 5000 20 15

Differential Mo de
Graph

Time in minutes, displacement in microns Official calibration common diff = = 6.5 CARM 2.7 CARM + + 2.7 DARM 6.5 DARM


Temp erature Mo del

Asumme that temp erature in the reference cavity is given by Tin = ((Tout - Tin) C1 + (Trm - Tin) C2 )t where Tin Tout Trm T C1 C2 = = = = = = = inside outside oven (known) ro om time interval 1/142min (Hugh) C1 0 (to b e varied)

Graph
100

50

0

-50

-100

-150

0

1000

2000

3000

4000

5000

6000

Time in minutes (x-axis) Relative temp erature mK (y-axis)

0 Assume that change in inteferometer length is (Tin - Tin)

Fit for , exp ect = 1µm/1mK for common mo de


Selected Data

Select only lo cks of 30 minutes or more: Common Mo de
Graph Graph
40 40 20 20 0 0 -20 -20 -40 -40 -60 0 1000 2000 3000 4000 5000 0 1000 2000 3000 4000 5000

Differential Mo de

Time in minutes (x-axis), displacement in microns (y-axis)


First try on e5 data very preliminary Includes light constraint on off diagonal terms

Fit results:

common = -0.60 CARM + -0.02 DARM diff 0.04 CARM + 0.95 DARM = 0.04

Common Mo de
Graph
40 30 20 5 10 0 0 -10 -20 -30 0 -5 -10 -15 -20 1000 2000 3000 4000 5000 0

Differential Mo de
Graph
20 15 10

1000

2000

3000

4000

5000

Time in minutes (x-axis), displacement in microns (y-axis)


Plans

· Include only officially lo cked regions · Add constraints on calibration · Fit parameters of PSL oven (C1 and C2 )