Computation of Star Effective Temperature (T eff) for STK

Effective temperatures are computed using the temperature relation from Sekiguchi and Fukugita1 which is given as:

where the full sample coefficients from Sekiguchi and Fukugita1, and reproduced in the following table, are used.

Parameter fit for effective temperature relation

Parameter

Value

c 0

3.939654

c 1

-0.395361

c 0

0.2082113

c 0

-0.0604097

f 1

0.027153

f 2

0.005036

g 1

0.007367

h 1

-0.01069

As of the STK 9.2.1 release, metalicity, , and surface gravity, , are not used in the computation and are set to zero. The value for is taken from the catalog currently in use. In the case of the Tycho 2 catalog where is not provided directly, is computed as2

.

Future versions of the star catalog data files may be generated that utilize available surface gravity and metalicity data.

Validation

The computation of effective temperature in STK is validated using test stars from Sekiguchi and Fukugita1 with surface gravity and metalicity data from the PASTEL catalog3. The PASTEL catalog is a bibliographical compilation of data and therefore contains multiple entries for many stars. In general, values from the most recent reference in the catalog were used for this analysis. Results are shown in the following table. Note that the reference effective temperature given in the following table is from the PASTEL catalog and does not reflect the similarly named quantity from Sekiguchi and Fukugita.

Effective temperature comparisons

Ref - reference temperature taken from PASTEL catalog; STK - temperature computed by STK ignoring the effects of and ; SF – temperature computed using the full expression from Sekiguchi and Fukugita1.

HR

Hip

HD

Err

Err

2491

32349

48915

0.009

4.4

0.5

9880

8632

-1248

9615

-265

6556

86032

159561

0.155

3.89

-0.16

7906

7641

-265

7964

-58

2943

37279

61421

0.432

3.96

-0.03

6506

6351

-155

6500

-6

2990

37826

62509

0.991

3.15

0.07

4824

4938

114

4845

21

5340

69673

124897

1.239

1.69

-0.52

4280

4514

234

4284

4

6705

87833

164058

1.521

1.55

-0.08

3927

4050

123

3904

-23

1457

21421

29139

1.538

1.2

-0.15

3891

4021

130

3886

-5

References

1 Sekiguchi, M. and Fukugita, M., “A Study of the B-V Color-Temperature Relation”, The Astronomical Journal, No. 120, pp 1072-1084, August 2000.

2 Perryman, M.A.C., ESA, “The Hipparcos and Tycho catalogues. Astrometric and photometric star catalogues derived from the ESA Hipparcos Space Astrometry Mission”, Publisher: Noordwijk, Netherlands: ESA Publications Division, 1997, Series: ESA SP Series vol no: 1200, ISBN: 9290923997

3 Soubiran, C., Le Campion, J.-F., Cayrel de Strobel, G. and Caillo, A., “The PASTEL Catalogue of Stellar Parameters”, Astronomy and Astrophysics, Volume 515, June 2010.