Measurement Of Stellar Radial Velocities Utilizing Amateur Astronomical Equipment

Daniel Del Proposto

Willow Creek Observatory

February 23, 2002

Abstract

To explore the measurement of stellar radial velocities using specific amateur astronomical equipment, allowing the amateur astronomer to generate accurate scientific results that fall within the published radial velocity requirements for a specific star or other extended object. The equipment utilized are a ST-7 CCD Camera and Self Guiding Spectrograph, both manufactured by Santa Barbara Instrument Group (SGS). The instruments are integrated together and attached to an Ultima 8 PEC Telescope manufactured by Celestron International.

Table of Contents

Abstract ............................................................................……………….................…. 2

Table of Contents .....................................................................................…………….. 3

List of Figures ...........................................................................................……………..4

List of Tables.............................................................................................……………..5

Measure Of Stellar Radial Velocities Utilizing Amateur Grade

Astronomical Equipment ...............................................................................………….6

References ............................................................................................……………… 12

List of Figures                                                                                           Number  Page

Figure 1  Spectrum of 53-Kappa Orionis January 24th 2002 ....................…………….8

Figure 2  Spectrum of 53-Kappa Orionis January 25th 2002 ....................…………….9

Figure 3  Spectrum of 53-Kappa Orionis February 13th 2002 ...................…………...10

Figure 4  Spectrum of 53-Kappa Orionis February 17th 2002 ...................…………...11

List of Tables                                                                                           Number Page

Table 1 Results of the measurement of radial velocities of 53-Kappa Orionis .......……. 6

Table 2 Technical specifications of Self Guiding Spectrograph (SGS) .................…… 13

Table 3 Technical specifications of Celestron Ultima 8 PEC Telescope ...............…… 14

Table 4 Technical specifications of SBG ST-7 Imaging Camera ......................………. 15

Measurement Of Stellar Radial Velocities Utilizing Amateur Astronomical Equipment

 Astronomical spectroscopy is relatively new to amateurs and has just recently become affordable for the amateur astronomer. Utilization of an amateur telescope and spectrograph make it is possible for the amateur to perform quality scientific endeavors. One such endeavor is the measurement of radial velocities using a high quality commercially manufactured spectrograph.

 Four spectra were collected from 53-Kappa Orionis, located in constellation Orionis, over a period of three weeks and analyzed to determine radial velocities. The instrument configuration was identical for all samples taken. The Self Guiding Spectrograph (SGS) is connected to the ST-7 CCD Imaging camera. The SGS with ST-7 CCD Imaging Camera is then attached to the telescope, a Celestron Ultima 8 PEC.

The focal ratio of the telescope is F/6.3 using a Celestron F/6.3 focal reducer. A mercury vapor spectrum analysis tube and power supply from Edmund Scientific was used for line calibration. The spectrum of the star and calibration source was taken at the same exposure for accurate spectrum calibration. Radial velocities were measured using two software packages. The first package, Spectra (Version 1.2) was written by Alan Holmes of SBIG. The second software package used, Visual Spec (Version 2.0.6), written by Valerie Desnoux, was used for correcting radial velocities to compensate for Earth’s orbital velocity and verification of line measurements performed with Spectra.

The results of the radial velocities are accurate when taking into account the published instrument accuracy of +-6 km/sec as stated by SBIG. The following table delineates the results of my analysis of the spectra for radial velocities.

 

Table 1

Results of measured radial velocities of 53-Kappa Orionis

 

Object Observed Radial Velocity Published Radial Velocity Spectrograph’s accuracy
53-Kappa Orionis (1/24/2002) +15.21 km/sec +21 km/sec +- 6 km/sec
53-Kappa Orionis (1/25/2002) +15.53 km/sec +21 km/sec +- 6 km/sec
53-Kappa Orionis (2/13/2002) +23.19 km/sec +21 km/sec +- 6 km/sec
53-Kappa Orionis (2/17/2002) +21.01 km/sec +21 km/sec +- 6 km/sec

 

The published radial velocity of +21 km/sec is assumed accurate (Garrison, 2002). The results above positively establish that amateur astronomy equipment, and specifically the SGS can be used to identify and measure stellar radial velocities.

Figure 1

Spectrum of 53-Kappa Orionis, January 24th 2002

Spectrum of 53-Kappa Orionis taken on January 24th 2002 with SBIG SGS at high resolution. The exposure time is 1800 seconds. The calculated radial velocity is +15.21 km/sec and is well within the published accuracy of the instrument of +- 6 km/sec and therefore very close in value to the published radial velocity of this star +21 km/sec

Figure 2

Spectrum of 53-Kappa Orionis, January 29th 2002

 

Spectrum of 53-Kappa Orionis taken on January 25th 2002 with SBIG SGS at high resolution. The exposure time is 517 seconds. The calculated radial velocity is +15.53 km/sec and is well within the published accuracy of the instrument of +- 6 km/sec and therefore very close in value to the published radial velocity of this star +21 km/sec.

Figure 3

Spectrum of 53-Kappa Orionis, February 13th 2002

Spectrum of 53-Kappa Orionis taken on February 13th 2002 with SBIG SGS at high resolution. The exposure time is 1800 seconds. The calculated radial velocity is +23.19 km/sec and is well within the published accuracy of the instrument of +- 6 km/sec and therefore very close in value to the published radial velocity of this star +21 km/sec

 

Figure 4

Spectrum of 53-Kappa Orionis, February 17th 2002

Spectrum of 53-Kappa Orionis taken on February 17th 2002 with SBIG SGS at high resolution. The exposure time is 2700 seconds. The calculated radial velocity is +23.19 km/sec and is well within the published error of the instrument of +- 6 km/sec1 and therefore very close in value to the published radial velocity of this star +21.01 km/sec.

References

Audouze, J., Israel, G. (Eds.). (1996). The Cambridge Atlas Of Astronomy. Cambridge

University Press.

 

Carroll, B., & Ostlie, D. (1996). An Introduction To Modern Astrophysics. Addison-Wesley

            Publishing Company, INC.

 

Celestron 8 Instruction Manual. (1992). Torrance, CA: Celestron International.

 

Desnoux, V. Visual Spec - Astronomical Spectral Analysis And Processing Software
            (Version 2.0.6) [Computer software].
Paris, France: Desnoux, V.

 

Garrison, R., & Beattie, B. (1996). The Brightest Stars - Observers Handbook, Retrieved January

2002, from University of Toronto web site: http://www.astro.utoronto.ca/~garrison/oh.html.

 

Holmes, A. Spectra - SBIG Spectral Calibration Program (Version 1.2) [Computer software].

Santa Barbara, CA: Santa Barbara Instrument Group.

 

Holmes, A. (2001). Operating Instructions For The Santa Barbara Instrument Group Self Guided

Spectrograph (SGS) And Spectra Analysis Software. Santa Barbara, CA: Santa Barbara Instrument Group.

 

Weast, R., Astle, M., & Beyer, W. (Eds.). (1986). CRC Handbook of Chemistry and Physics

(65th ed). CRC Press, INC.

 

Table 2

Technical Specifications of Celestron Ultima 8 PEC Telescope

Celestron Ultima 8 PEC Telescope
2835 Columbia Street, Torrance, CA 90503

Design

Schmidt-Cassegrain Catadioptric
Nominal Focal Length 80.6 inches, 2048mm
Nominal Focal Ratio f10
Effective Aperture 8 inches, 203.2mm
Central Obstruction 2.75"
Light Gathering Power 843X Theoretical, Approx. 634X Actual over unaided human eye with 7mm entrance pupil.
Primary Mirror 8.25" Diameter, f1.9, Radius 32", Spherical of fine annealed Pyrexฎ
Secondary Mirror 2.25" Diameter, Radius 9.7, Spherical (final hand figuring yields a slight asphere) of fine annealed Pyrexฎ
Mirror Coatings Celestron "Starbrightฎ": 5 step multilayer
Corrector Lens 8" Aperture, 0.190" thick, optical quality crown glass, true aspheric Schmidt curve each side, Mgf2 AR coatings each side
Highest Useful Magnification Approx. 480x with eyepiece or "negative" lens/Eyepiece combination
Lowest Typical Magnification 37x (1.34 degrees) with 2" 55mm Plossl (5.46mm Exit Pupil), or 32X (1.33 degrees) with 1.25" 40mm Plossl with f6.3 Reducer/Corrector (6.30mm Exit Pupil)
Resolution, Visual Rayleigh Criterion: 0.68 arc seconds, Dawes Limit: 0.57 arc seconds
Resolution, Film 182 lines per mm
Back Focus 18 + or – 5 inches
Optimum Back Focus Approx. 4 inches; with f6.3 Reducer/Corrector 4" from rear of Reducer

 

 

 

Table 3
Technical Specifications of SBIG Self Guiding Spectrograph (SGS)

Self Guiding Spectrograph

Manufactured by Santa Barbara Instrument Group
147-A Castilian Drive
Santa Barbara, CA 93117

Dispersion
Two gratings are available, on a carousel for rapid selection
          - 150 lines per mm (4.3 Angstroms per pixel)
          - 600 lines per mm (1.0 Angstroms per pixel)
Slit Width - Interchangeable slits are included

           -18 microns wide (2 arcseconds at 80 inch focal length)
            Best for stellar work

          - 72 microns wide (8 arcseconds at 80 inch focal length)
            Best for galaxies        

Acceptance cone angle:  F/6.3 by F/10
Resolution
Narrow slit & 600 lines/mm 2.4 Angstroms
Narrow slit & 150 lines/mm 10 Angstroms
Wide slit & 600 lines/mm 10 Angstroms
Wide slit & 150 lines/mm 38 Angstroms

Relative Sensitivity to Diffuse Sources

Narrow slit & 600 lines/mm 1.0
Narrow slit & 150 lines/mm 4.0
Wide slit & 600 lines/mm 4.0
Wide slit & 150 lines/mm 16.0

 


Table 4

Technical Specifications of ST-7 CCD Imaging Camera

Santa Barbara Instrument Group , Model ST-7 CCD Imaging Camera

147-A Castilian Drive
Santa Barbara, CA 93117

CCD

Kodak KAF-0401E
+ TI TC-211

Pixel Array

765 x 510 pixels, 6.9 x 4.6 mm

Total Pixels

390,000

Pixel Size

9 x 9 microns

Full Well Capacity (ABG)

~50,000 e-

Full Well Capacity (NABG)

~100,000 e-

Dark Current

1eฏ/pixel/sec at 0ฐ C

Antiblooming

Standard (non ABG as option)

Shutter

Electromechanical

Exposure

0.11 to 3600 seconds, 10ms
resolution

Correlated Double Sampling

Yes

A/D Converter

16 bits

A/D Gain

2.3eฏ/ADU

Read Noise

15eฏ RMS

Binning Modes

1 x 1, 2 x 2, 3 x 3

Pixel Digitization Rate

30 kHz

Field of View

12 x 8 arcminutes

Pixel Size

.9 x .9 arcseconds

Limiting Magnitude

Magnitude 14 in 1 second

(for 3 arcsec FWHM stars)

Magnitude 18 in 1 minute

Cooling – standard

Single Stage Thermoelectric, Active Fan, -25 C from Ambient Min.

Cooling – optional

Two Stage Thermoelectric, Active Fan, Liquid Assist, -40 C from Ambient Min.

Temperature Regulation

ฑ0.1ฐC

Power

5 VDC at 1.5 amps, ฑ12 VDC at 0.5 amp desktop power supply included

Computer Interface

Standard Parallel Port

Guiding

Dual CCD Self-Guiding

Optical Head

5 inches diameter x 3 inches 12.5 cm diameter x 7.5 deep 2 pounds/0.9 Kg

CPU

All electronics integrated into Optical Head, No CPU

Backfocus

0.92 inches/2.3 cm