antaress.ANTARESS_grids.ANTARESS_star_grid module#
- calc_RVrot(x_st_sky, y_st, istar_rad, veq, alpha_rot, beta_rot)[source]#
Stellar rotational rv
Calculates radial velocity of stellar surface element from rotation (in km/s). The absolute and radial velocity depend on stellar latitude in presence of differential rotation.
\[\begin{split}v &= \Omega R_\mathrm{\star} \\ &= \Omega_\mathrm{eq} (1-\alpha_\mathrm{rot} y_\mathrm{lat}^2 - \beta_\mathrm{rot} y_\mathrm{lat}^4) R_\mathrm{\star} \\ &= v_\mathrm{eq} (1-\alpha_\mathrm{rot} y_\mathrm{lat}^2 - \beta_\mathrm{rot} y_\mathrm{lat}^4)\end{split}\]The velocity vector in the star frame is defined as
\[\begin{split}v_\mathrm{x,star} &= v \cos(\Phi) \\ v_\mathrm{y,star} &= -v \sin(\Phi) \\ v_\mathrm{z,star} &= 0\end{split}\]Where \(\Phi\) is the angle between the LOS z and the surface element in the zx plane. The velocity vector in the inclined star frame is then
\[\begin{split}v_\mathrm{x,sky star} &= v \cos(\Phi) \\ v_\mathrm{y,sky star} &= -v \sin(\Phi) cos(i_\star) \\ v_\mathrm{z,sky star} &= -v \sin(\Phi) sin(i_\star)\end{split}\]And the radial velocity along the \(z_\mathrm{sky star}\) axis, defined as negative toward the observer, is then
\[\begin{split}rv &= - v_\mathrm{z,sky star} \\ &= v \sin(\Phi) sin(i_\star) \\ &= v x_\mathrm{norm} sin(i_\star) \\ &= x_\mathrm{norm} v_\mathrm{eq} sin(i_\star) (1-\alpha_\mathrm{rot} y_\mathrm{lat}^2 - \beta_\mathrm{rot} y_\mathrm{lat}^4)\end{split}\]- Parameters:
TBD
- Returns:
TBD
- calc_CB_RV(ld_coeff, LD_mod, c1_CB, c2_CB, c3_CB, star_params)[source]#
Stellar convective blueshift
Calculates radial velocity of stellar surface element from convective blueshift.
- Parameters:
TBD
- Returns:
TBD
- calc_GD(x_grid_star, y_grid_star, z_grid_star, star_params_eff, gd_band, x_st_sky_grid, y_st_sky_grid)[source]#
Gravity-darkening intensity
Calculates blackbody emission with gravity-darkening, using the formalism from Barnes+2009. It accounts from gravity-darkening through temperature variation and local blackbody emission.
- Parameters:
TBD
star_params_eff (dict) – dictionary containing nominal or variable (overwritten from fit routines) stellar properties
- Returns:
TBD
- get_LD_coeff(transit_prop, iband)[source]#
Limb-Darkening coefficients
Store input limb-darkening coefficients in common structure [LD_u1,LD_u2,LD_u3,LD_u4].
- Parameters:
transit_prop (dict) – dictionary containing the planet/active region limb-darkening properties.
iband (int) – index of the band considered.
- Returns:
ld_coeff (list) – formatted list of the limb-darkening coefficients used.
- calc_LD(LD_mod, mu, ld_coeff)[source]#
Limb-Darkening intensity
Calculates limb-Darkening value at a given \(\mu\) (from 1 at stellar center to 0 at the limb).
- Parameters:
TBD
- Returns:
TBD
- calc_Isurf_grid(iband_list, ngrid_star, system_prop, coord_grid, star_params_eff, Ssub_Sstar, Istar_norm=1.0, region='star', Ssub_Sstar_ref=None)[source]#
Stellar intensity grid.
Calculates flux and intensity values over the stellar grid, from various contributions.
- Parameters:
TBD
- Returns:
TBD
- calc_st_sky(coord_grid, star_params)[source]#
Sky-projected stellar grid.
Calculates coordinates of stellar cells in the sky-projected star rest frame.
- Parameters:
TBD
- Returns:
TBD