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J/A+A/401/657   Non-linear limb-darkening law for LTE models. II. (Claret, 2003)
A new non-linear limb-darkening law for LTE stellar atmosphere models. II.
Geneva and Walraven systems: Calculations for -5.0≤log[M/H]≤+1, 
2000K≤Teff≤50000K at several surface gravities.
    Claret A.
   <Astron. Astrophys. 401, 657 (2003)>
   =2003A&A...401..657C
ADC_Keywords: Models, atmosphere ; Photometry, Geneva ; Photometry, VBLUW

Keywords: stars: atmospheres - stars: binaries: eclipsing - stars: abundances


Abstract:
    As an extension of our previous investigations on stellar atmospheres
    (Claret, 2000, Cat. J/A+A/363/1081), the limb-darkening coefficients
    for the Geneva and Walraven photometric systems are presented for the
    first time using the ATLAS and PHOENIX models. They cover a wide range
    of values of logg, Teff, metallicities and microturbulent
    velocities. In addition to the traditional applications of
    limb-darkening coefficients, the present ones are now being used in
    the interpretation of phase shift of B and A-F type pulsating stars.

File Summary:

       FileName      Lrecl  Records   Explanations

ReadMe            80        .   This file
atlas.dat        138    38204   a1-a4 limb-darkening coefficients ATLAS models (G1)
uatlas.dat       138     9551   u linear limb-darkening coefficients
                              ATLAS models (G1)
abatlas.dat      138    19102   (a, b) quadratic limb-darkening coefficients
                              ATLAS models (G1)
cdatlas.dat      138    19102   (c, d) square root limb-darkening coefficients
                              ATLAS models (G1)
efatlas.dat      138    19102   (e, f) logarithmic limb-darkening coefficients
                              ATLAS models (G1)
phoenix.dat      138      560   a1-a4 limb-darkening coefficients
                              PHOENIX models (G1)
uphoenix.dat     138      140   u linear limb-darkening coefficients
                              PHOENIX models (G1)
abphoeni.dat     138      280   (a, b) quadratic limb-darkening coefficients
                              PHOENIX models (G1)
cdphoeni.dat     138      280   (c, d) square root limb-darkening coefficients
                              PHOENIX models (G1)
efphoeni.dat     138      280   (e, f) logarithmic limb-darkening coefficients
                              PHOENIX models (G1)
sun.dat          138       11   All limb-darkening coefficients SUN (ATLAS) (G1)
vega.dat         138       11   All limb-darkening coefficients VEGA (ATLAS) (G1)
original/*         0      131   Original tables


See also:
 J/A+AS/110/329 : LTE model atmospheres coeff. (Diaz-cordoves+, 1995)
 J/A+AS/114/247 : Limb-darkening coefficients for RIJHK (Claret+, 1995)
 J/A+A/335/647  : Very low mass stars: non-linearity of the limb (Claret, 1998)
 J/A+A/363/1081 : Non-linear limb-darkening law for LTE models. I. (Claret 2000)


Byte-by-byte Description of file: *.dat

   Bytes Format Units   Label     Explanations

   1-  2  A2    ---     Coeff     Limb-darkening coefficients (G1)
   5-  7  F3.1  km/s    VT        Turbulent velocity
  10- 14  F5.2  cm/s+2  logg      Surface gravity
  16- 21  F6.0  K       Teff      Effective temperature
  23- 27  F5.1  [Sun]   log[M/H]  log [metal/H]
  30- 36  F7.4  ---     GU        Limb-darkening coefficient value in Geneva U
  39- 45  F7.4  ---     GB1       Limb-darkening coefficient value in Geneva B1
  48- 54  F7.4  ---     GB        Limb-darkening coefficient value in Geneva B
  57- 63  F7.4  ---     GB2       Limb-darkening coefficient value in Geneva B2
  66- 72  F7.4  ---     GV1       Limb-darkening coefficient value in Geneva V1
  75- 81  F7.4  ---     GV        Limb-darkening coefficient value in Geneva V
  84- 90  F7.4  ---     GG        Limb-darkening coefficient value in Geneva G
  93- 99  F7.4  ---     WW        Limb-darkening coefficient value in Walraven W
 102-108  F7.4  ---     WU        Limb-darkening coefficient value in Walraven U
 112-118  F7.4  ---     WL        Limb-darkening coefficient value in Walraven L
 122-128  F7.4  ---     WB        Limb-darkening coefficient value in Walraven B
 132-138  F7.4  ---     WV        Limb-darkening coefficient value in Walraven V


Global notes:

Note (G1): Limb-darkening coefficients:

  a1, a2, a3, a4 (non-linear):
    I(µ)/I(1) = 1 -a1(1-µ0.5) -a2(1-µ) -a3(1-µ1.5) 
                     -a4(1-µ2)
  u (linear):
    I(µ)/I(1) = 1 - u(1-µ)
  a, b (quadratic):
    I(µ)/I(1) = 1 - a(1-µ) - b(1-µ)2
  c, d (square root):
    I(µ)/I(1) = 1 - c(1-µ) - d(1-sqrt(µ))
  e, f (logarithmic):
    I(µ)/I(1) = 1 - e(1-µ) - f*µ*ln(µ)

  where I(1) is the specific intensity at the center of the disk, u, a,
  b, c, d, e, f are the corresponding limb-darkening coefficients and
  µ=cos(γ), γ being the angle between the line of sight
  and the emergent intensity

  Summary of Limb-Darkening coefficients (table 1):
--------------------------------------------------------------------------------
  FileName     Source      range Teff  log g  log [M/H] VT  Kind of fitting
--------------------------------------------------------------------------------
 atlas.dat     ATLAS       3500-50000 0.0-5.0 -5.0/+1.0 0-8 Eq. 5,   12 filters
 uatlas.dat    ATLAS       3500-50000 0.0-5.0 -5.0/+1.0 0-8 Eq. 5,   12 filters
 abatlas.dat   ATLAS       3500-50000 0.0-5.0 -5.0/+1.0 0-8 Eq. 2,   12 filters
 cdatlas.dat   ATLAS       3500-50000 0.0-5.0 -5.0/+1.0 0-8 Eq. 3,   12 filters
 efatlas.dat   ATLAS       3500-50000 0.0-5.0 -5.0/+1.0 0-8 Eq. 4,   12 filters
 phoenix.dat   PHOENIX     2000- 9800 3.5-5.0  0.0      2   Eq. 5,   12 filters
 uphoenix.dat  PHOENIX     2000- 9800 3.5-5.0  0.0      2   Eq. 1,   12 filters
 abphoenix.dat PHOENIX     2000- 9800 3.5-5.0  0.0      2   Eq. 2,   12 filters
 cdphoenix.dat PHOENIX     2000- 9800 3.5-5.0  0.0      2   Eq. 3,   12 filters
 efphoenix.dat PHOENIX     2000- 9800 3.5-5.0  0.0      2   Eq. 4,   12 filters
 sun.dat       SUN         5777       4.377    0.0      1.5 Eq. 1-5, 12 filters
 vega.dat      VEGA        9400       3.90    -0.5      0   Eq. 1-5, 12 filters


Acknowledgements: Antonio Claret Dos Santos 

(End)                                        Patricia Bauer [CDS]    28-Mar-2003