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Tracking error budget

2.5-m Telescope Tracking Error Budget

Sloan Digital Sky Survey Telescope Technical Note 19970523

Charlie Hull and Walter Siegmund


Contents

Introduction

The specification of 70 milliarcseconds (mas) RMS and the goal of 28 mas RMS for telescope tracking performance was given in "Telescope Tracking Smoothness" (Sloan Digital Sky Survey Telescope Technical Note 19920608). A tracking error budget corresponding to the goal is given in that Technical Note. This budget was subsequently updated based on measurements in "2.5-m Telescope Drive Measurements IV: Acceptance Testing" (Sloan Digital Sky Survey Telescope Technical Note 19950608).

Tracking error budget

Table 1: Tracking error budget.

Subassembly

Component

Error

Effect

Notes

(nm)

(mas RMS)

Az axis wobble

1

Drive disk 2-D high freq. error

273

20.5

2

Guide roller error

273

20.5

3

Lower bearing 2-D high freq./nonrep. error

431

32.4

4

Alt axis wobble

5

Bearing 1-D high freq./nonrep. error

47

10

6

Az encoding error

7

Drive disk high freq error

216

3.1

8

Encoder capstan error

150

17.2

9

Encoder error

5.5

10

Az servo error

9.8

11

Alt encoding error

12

Drive disk high freq error

92

1.3

13

Encoder capstan error

150

17.2

14

Encoder error

5.5

15

Alt servo error

9.8

16

Rotator bearing error

240

4

17

Rotator encoding error

0

18

Drive disk error

1000

3.9

19

Encoder capstan error

602

2.3

20

Encoder error

0.2

21

Rotator servo error

0.2

22

Secondary motions

23

Axial motion

20

24

Transverse motion

5

25

Total

61.9

26

Notes:

  1.  
  2. Measured upper azimuth wobble with the lowest eight harmonics and 25, 50, 75 and 100 cycles/revolution of the azimuth axis removed (SDSS19950608). These are the lowest frequencies of the guide rollers.
  3. Upper azimuth wobble at 25, 50, 75 and 100 cycles/revolution of the azimuth axis, i.e., guide rollers (SDSS19950608). Measurements of the assembled azimuth motion were used rather than the direct measurements of the guide roller runout since the former require less interpretation.
  4. Measured runout after the half harmonic and lowest eight harmonic terms have been removed (SDSS19950608).
  5.  
  6. Measured runout after the lowest eight harmonic terms have been removed (SDSS19950608).
  7.  
  8.  
  9.  
  10. Heidenhein ROD 700 accuracy
  11. ±2.5 arc sec
  12.  
  13.  
  14.  
  15.  
  16.  
  17. Large diameter bearing
  18.  
  19.  
  20.  
  21.  
  22.  
  23.  
  24. This number is based on measurements of tilt due to the axial motions of the 3.5-m secondary mirror.
  25. Assumes 1.59 µm basic step size, 3:1 lever reduction, triangle wave P-V/RMS = 3.46.
  26. Assumes that all items are statistically independent and add in quadrature.


Date created: 05/27/97
Last modified: 09/30/97
Walter A. Siegmund
siegmund@astro.washington.edu