1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477
|
# zams.rb
require 'Tioga/FigureMaker'
include Tioga
class ZAMS_Data
attr_accessor :num_pts, :masses, :log_Ls, :log_TNs, :log_Tsurfs, :log_RHOs, :center_Ts
attr_accessor :log_Rs, :top_CNVs, :bottom_CNVs, :power_PPs, :power_CNOs, :opacities
attr_accessor :log_Ms, :log_Tcents, :log_KAPPAs, :fraction_CNO
def initialize(filename)
Dvector.read(filename, [ # the columns of data in the file
nil,
@masses = Dvector.new,
@log_Ls = Dvector.new,
@log_TNs = Dvector.new,
@log_Tsurfs = Dvector.new,
@log_RHOs = Dvector.new,
@center_Ts = Dvector.new,
@log_Rs = Dvector.new,
@top_CNVs = Dvector.new,
@bottom_CNVs = Dvector.new,
@power_PPs = Dvector.new,
@power_CNOs = Dvector.new,
@opacities = Dvector.new ])
@num_pts = @masses.length
# some derived quantities
@log_Ms = @masses.safe_log10
@log_Tcents = @center_Ts.safe_log10 + 7
@log_KAPPAs = @opacities.safe_log10
@fraction_CNO = @power_CNOs / (@power_CNOs + @power_PPs)
end
end
class ZAMSPlots
include Math
include Tioga
include FigureConstants
def t
@figure_maker
end
def initialize
@figure_maker = FigureMaker.default
t.def_eval_function { |str| eval(str) }
t.save_dir = 'zams_out'
@zams_data_array = [
@z0001_data = ZAMS_Data.new("zams_data/z0001.log"),
@z001_data = ZAMS_Data.new("zams_data/z001.log"),
@z004_data = ZAMS_Data.new("zams_data/z004.log"),
@z02_data = ZAMS_Data.new("zams_data/z02.log") ]
@num_zams = @zams_data_array.size
@num_masses = @z02_data.masses.size
@legends = [ 'Z = 0.0001', 'Z = 0.001', 'Z = 0.004', 'Z = 0.02' ]
@colors = [ Purple, Crimson, Green, Blue ]
t.def_figure("ZAMS_H_R") { zams_H_R }
t.def_figure("ZAMS_T_RHO") { zams_T_RHO }
t.def_figure("ZAMS_H_R_and_T_RHO") { zams_BOTH }
t.def_figure("ZAMS_convection") { zams_convection }
t.def_figure("ZAMS_plots1") { zams_plots1 }
t.def_figure("ZAMS_plots2") { zams_plots2 }
t.def_figure("ZAMS_fancy") { zams_fancy }
@legend_scale = 0.95
@subplot_scale = 0.8
@plot_with_legend_right_margin = 0.18
@legend_left_margin = 0.83
@legend_top_margin = 0.05
@side_by_side_margin = 0.5
@mass_points = [ 0.1, 0.3, 1.0, 3.0, 10.0, 100.0 ]
@labels = [ "0.1", "0.3", "1", "3", "10", "100" ]
t.def_enter_page_function { enter_page }
end
def enter_page
t.page_setup(11*72/2,8.5*72/2)
t.set_frame_sides(0.15,0.85,0.85,0.15) # left, right, top, bottom in page coords
end
def show_box_labels(title, xlabel=nil, ylabel=nil)
if title != nil
t.show_title(title); t.no_title
end
if xlabel != nil
t.show_xlabel(xlabel); t.no_xlabel
end
if ylabel != nil
t.show_ylabel(ylabel); t.no_ylabel
end
end
def zams_fancy
star_types = [ # spectral types as [ typename, effective T, T string ]
[ 'O5', 40e3, '40' ],
[ 'B0', 28e3, '28' ],
[ 'B5', 15.5e3, '15.5' ],
[ 'A0', 9.9e3, '9.9' ],
[ 'F0', 7e3, '7' ],
[ 'G2', 5.8e3, '5.8' ],
[ 'K0', 4.1e3, '4.1' ],
[ 'M5', 2.8e3, '2.8' ] ]
stars = [ # star info as [ name, L, Teff ]
[ '\textbf{Zeta Ophiuchi}', 68e3, 32.5e3 ],
[ '\textbf{Canopus}', 15e3, 7.8e3 ],
[ '\textbf{Deneb}', 2e5, 14e3 ],
[ '\textbf{Adhara}', 15e3, 20e3 ],
[ '\textbf{Antares}', 9e3, 3.4e3 ],
[ '\textbf{Betelgeuse}', 60e3, 3.1e3 ],
[ '\textbf{Sun}', 1.0, 5.8e3 ],
[ '\textbf{Proxima}', 1.38e-4, 3.04e3 ],
[ '\textbf{Naos}', 1e6, 42e3 ],
[ '\textbf{Rigel}', 66e3, 11e3 ],
[ '\textbf{Hadar}', 112, 25.5e3 ],
[ '\textbf{Sirius A}', 26.0, 11e3 ],
[ '\textbf{Regulus}', 240, 12e3 ],
[ '\textbf{Arcturus}', 180.0, 4.3e3 ],
[ '\textbf{Procyon A}', 7.6, 7.2e3 ],
[ '\textbf{Procyon B}', 5e-4, 9.5e3 ],
[ '\textbf{Sirius B}', 2e-3, 26e3 ],
[ '\textbf{Kr\"{u}ger 60 A}', 1.6e-3, 4e3 ],
[ '\textbf{61 Cygni A}', 6e-2, 4.5e3 ] ]
t.yaxis_type = t.xaxis_type = AXIS_WITH_MAJOR_TICKS_AND_NUMERIC_LABELS
min_T_eff = 2.2e3; max_T_eff = 5e4; min_L = 5e-5; max_L = 7e6
xleft = max_T_eff.log10
xright = min_T_eff.log10
ytop = max_L.log10
ybottom = min_L.log10
bounds = { 'left_boundary' => xleft, 'right_boundary' => xright,
'top_boundary' => ytop, 'bottom_boundary' => ybottom }
t.xaxis_loc = t.xlabel_side = BOTTOM; t.yaxis_loc = t.ylabel_side = LEFT
t.top_edge_type = t.right_edge_type = AXIS_HIDDEN
xmajors = []
xlabels = []
star_types.each { |type| xmajors << type[1].log10; xlabels << type[0] }
t.xaxis_locations_for_major_ticks = xmajors
t.xaxis_tick_labels = xlabels
t.xlabel = 'Spectral Type'
t.ylabel = 'Luminosity ($L_{\odot}$)'
t.yaxis_tick_interval = 2
t.rescale(0.9)
t.show_plot(bounds) do
t.axial_shading('start_point' => [xright, ytop], 'end_point' => [xleft, ytop],
'colormap' => t.create_colormap(
'points' => [0.0, 0.12, 0.28, 0.37, 0.47, 0.59, 0.8, 1.0],
'Hs' => [0, 0, 60, 60, 60, 240, 240, 240],
'Ls' => [0.5, 0.6, 0.65, 0.65, 1, 1, 0.65, 0.65],
'Ss' => [1, 1, 0.9, 0.9, 0.5, 0.5, 0.9, 1] ))
t.show_polyline(@z02_data.log_Tsurfs, @z02_data.log_Ls, Gray, nil, Line_Type_Dash)
dy = t.default_text_height_dy * 0.4
t.rescale(0.8)
stars.each do |info|
name = info[0]; luminosity = info[1]; temp = info[2]
log_L = luminosity.log10; log_T = temp.log10
if temp < 4e3
dx = -0.02 * t.bounds_width
elsif temp > 15e3
dx = 0.02 * t.bounds_width
else
dx = 0
end
t.show_label('text' => name, 'x' => log_T - dx, 'y' => log_L + dy, 'justification' => CENTERED)
t.show_marker('marker' => Bullet, 'point' => [log_T, log_L], 'scale' => 0.6, 'color' => Black)
end
end
t.xaxis_loc = t.xlabel_side = TOP; t.yaxis_loc = t.ylabel_side = RIGHT
t.bottom_edge_type = t.left_edge_type = AXIS_HIDDEN
t.xlabel = 'Surface Temperature (x 1000K)'
t.ylabel = 'Absolute Magnitude'
t.yaxis_locations_for_major_ticks = [ -4.0, -2.0, 0.0, 2.0, 4.0, 6.0 ]
t.yaxis_tick_labels = [ '+15', '+10', '+5', '0', '-5', '-10' ]
xlabels = []
star_types.each { |type| xlabels << type[2] }
t.xaxis_tick_labels = xlabels
t.show_plot_box
end
def show_zams_line(xs, ys, masses, line_number)
t.show_polyline(xs, ys, @colors[line_number], @legends[line_number])
dx = 0.5 * t.default_text_height_dx
if t.xaxis_reversed
just_first = RIGHT_JUSTIFIED; just_last = LEFT_JUSTIFIED
else
just_first = LEFT_JUSTIFIED; just_last = RIGHT_JUSTIFIED; dx = -dx
end
@mass_points.each_index do | i |
mass = @mass_points[i]; label = @labels[i]
k = masses.where_closest(mass); x = xs[k]; y = ys[k]
t.show_marker('marker' => Bullet, 'point' => [x,y], 'scale' => 0.4, 'color' => Black)
s = 0.9
if line_number == 0
t.show_label('text' => label, 'x' => x-dx, 'y' => y,
'alignment' => ALIGNED_AT_MIDHEIGHT,
'justification' => just_first, 'scale' => s)
elsif line_number == @num_zams-1
t.show_label('text' => label, 'x' => x+dx, 'y' => y,
'alignment' => ALIGNED_AT_MIDHEIGHT,
'justification' => just_last, 'scale' => s)
end
end
end
def background
t.fill_color = FloralWhite
t.fill_frame
end
def show_zams(bounds, h_r_flag)
t.show_plot(bounds) do
background
@zams_data_array.each_index do |i|
zams = @zams_data_array[i]
if h_r_flag
show_zams_line(zams.log_Tsurfs, zams.log_Ls, zams.masses, i)
else
show_zams_line(zams.log_RHOs, zams.log_Tcents, zams.masses, i)
end
end
end
end
def plot_H_R
t.rescale(0.9)
t.title = 'Zero-Age Main Sequence'
t.xlabel = 'log Surface Temp'
t.ylabel = 'log Luminosity'
min_T_eff = 1.7e3; max_T_eff = 1.2e5; min_L = 5e-5; max_L = 7e6
xleft = max_T_eff.log10
xright = min_T_eff.log10
ytop = max_L.log10
ybottom = min_L.log10
bounds = { 'left_boundary' => xleft, 'right_boundary' => xright,
'top_boundary' => ytop, 'bottom_boundary' => ybottom }
show_zams(bounds, true)
t.show_text('text' => 'Mass in $M_\odot$', 'side' => RIGHT, 'pos' => 0.05, 'shift' => -0.9,
'scale' => 0.9, 'justification' => RIGHT_JUSTIFIED, 'angle' => -90)
end
def zams_H_R
t.show_plot_with_legend { plot_H_R }
end
def plot_T_RHO
t.rescale(0.9)
t.title = 'Zero-Age Main Sequence'
t.xlabel = 'log Center Density'
t.ylabel = 'log Center Temp'
xleft = -0.3
xright = 3.1
ytop = 7.83
ybottom = 6.45
bounds = { 'left_boundary' => xleft, 'right_boundary' => xright,
'top_boundary' => ytop, 'bottom_boundary' => ybottom }
show_zams(bounds, false)
t.show_text('text' => 'Mass in $M_\odot$', 'side' => RIGHT, 'pos' => 0.05, 'shift' => -1.7,
'scale' => 0.9, 'justification' => RIGHT_JUSTIFIED, 'angle' => -90)
end
def zams_T_RHO
t.show_plot_with_legend { plot_T_RHO }
end
def zams_BOTH
t.rescale(0.7)
bottom_margin = 0.1
t.context do
t.set_subframe('right_margin' => @plot_with_legend_right_margin)
t.show_title('Zero-Age Main Sequence')
t.no_title
t.subplot('right_margin' => @side_by_side_margin, 'bottom_margin' => bottom_margin) do
t.yaxis_loc = t.ylabel_side = LEFT; t.right_edge_type = AXIS_LINE_ONLY
plot_H_R
end
t.reset_legend_info
t.subplot('left_margin' => @side_by_side_margin, 'bottom_margin' => bottom_margin) do
t.yaxis_loc = t.ylabel_side = RIGHT; t.left_edge_type = AXIS_HIDDEN
plot_T_RHO
end
end
t.set_subframe('left_margin' => 0.85, 'bottom_margin' => bottom_margin)
t.rescale(@legend_scale)
t.legend_text_ystart = 0.9
t.legend_text_dy = 1.5
t.show_legend
end
def plot_convection
t.rescale(0.9)
t.title = 'Main Convection Zone'
t.xlabel = 'Mass ($M_{\odot}$)'
t.ylabel = 'Location (by fraction of total mass)'
xleft =log10(0.09)
xright = log10(101.0)
ytop = 1.0
ybottom = 0.0
t.xaxis_log_values = true
t.xaxis_use_fixed_pt = true
t.set_landscape
t.show_plot('left_boundary' => xleft, 'right_boundary' => xright,
'top_boundary' => ytop, 'bottom_boundary' => ybottom) do
dx = 0.2 * t.bounds_width / @num_masses
t.line_width = 0.5
background
@zams_data_array.each_index do |i|
zams = @zams_data_array[i]
xs = zams.log_Ms; tops = zams.top_CNVs; bottoms = zams.bottom_CNVs
xoffset = dx * (i - 1)
t.stroke_color = @colors[i]
t.save_legend_info(@legends[i])
xs.each_index do |j|
x = xs[j]+xoffset
t.stroke_line(x, bottoms[j], x, tops[j])
end
end
end
end
def zams_convection
t.show_plot_with_legend('plot_top_margin' => 0.01, 'legend_top_margin' => 0.15) { plot_convection }
end
def zams_plot(ylabel, ytop, ybottom, &cmd)
t.xlabel = 'Mass ($M_{\odot}$)'
t.ylabel = ylabel
xleft =log10(0.09)
xright = log10(101.0)
t.xaxis_log_values = true
t.xaxis_use_fixed_pt = true
t.show_plot('left_boundary' => xleft, 'right_boundary' => xright,
'top_boundary' => ytop, 'bottom_boundary' => ybottom) { background; cmd.call }
end
def luminosity_plot
zams_plot('log L ($L_{\odot}$)', 6.8, -4.2) do
@zams_data_array.each_index do |i|
zams = @zams_data_array[i]
t.show_polyline(zams.log_Ms, zams.log_Ls, @colors[i], @legends[i])
end
end
end
def temp_surface_plot
zams_plot('log $T_{surface}$', 5.1, 3.2) do
@zams_data_array.each_index do |i|
zams = @zams_data_array[i]
t.show_polyline(zams.log_Ms, zams.log_Tsurfs, @colors[i], @legends[i])
end
end
end
def temp_center_plot
zams_plot('log $T_{center}$', 7.83, 6.45) do
@zams_data_array.each_index do |i|
zams = @zams_data_array[i]
t.show_polyline(zams.log_Ms, zams.log_Tcents, @colors[i], @legends[i])
end
end
end
def density_plot
zams_plot('log $\rho_{center}$', 3.1, -0.3) do
@zams_data_array.each_index do |i|
zams = @zams_data_array[i]
t.show_polyline(zams.log_Ms, zams.log_RHOs, @colors[i], @legends[i])
end
end
end
def plots1
t.rescale(0.9)
t.show_title('Luminosity, Temperature, Density')
t.no_title
num_plots = 4; row = 1
t.subplot(t.row_margins('num_rows' => num_plots, 'row' => row)) do
t.xaxis_type = AXIS_WITH_TICKS_ONLY; t.no_xlabel
luminosity_plot
row += 1
end
t.top_edge_type = AXIS_HIDDEN
t.subplot(t.row_margins('num_rows' => num_plots, 'row' => row)) do
t.xaxis_type = AXIS_WITH_TICKS_ONLY; t.no_xlabel
temp_surface_plot
row += 1
end
t.subplot(t.row_margins('num_rows' => num_plots, 'row' => row)) do
t.xaxis_type = AXIS_WITH_TICKS_ONLY; t.no_xlabel
temp_center_plot
row += 1
end
t.reset_legend_info
t.subplot(t.row_margins('num_rows' => num_plots, 'row' => row)) do
density_plot
row += 1
end
end
def zams_plots1
t.show_plot_with_legend('plot_top_margin' => 0.01, 'legend_top_margin' => 0.01) { plots1 }
end
def radius_plot
zams_plot('log R ($R_{\odot}$)', 1.3, -1) do
@zams_data_array.each_index do |i|
zams = @zams_data_array[i]
t.show_polyline(zams.log_Ms, zams.log_Rs, @colors[i], @legends[i])
end
end
end
def cno_fraction_plot
zams_plot('\small{CNO/(PP+CNO)}', 1.08, -0.08) do
@zams_data_array.each_index do |i|
zams = @zams_data_array[i]
t.show_polyline(zams.log_Ms, zams.fraction_CNO, @colors[i], @legends[i])
end
end
end
def opacity_plot
zams_plot('$\\log \kappa_{center}$', 1.4, -0.7) do
@zams_data_array.each_index do |i|
zams = @zams_data_array[i]
t.show_polyline(zams.log_Ms, zams.log_KAPPAs, @colors[i], @legends[i])
end
end
end
def nuclear_timescale_plot
zams_plot('log $t_{nuclear}$ \small (yrs)', 12.7, 5.5) do
@zams_data_array.each_index do |i|
zams = @zams_data_array[i]
t.show_polyline(zams.log_Ms, zams.log_TNs, @colors[i], @legends[i])
end
end
end
def plots2
t.rescale(0.9)
t.show_title('Radius, Power, Opacity, Nuclear Timescale')
t.no_title
num_plots = 4; row = 1
t.subplot(t.row_margins('num_rows' => num_plots, 'row' => row)) do
t.xaxis_type = AXIS_WITH_TICKS_ONLY; t.no_xlabel
radius_plot
row += 1
end
t.top_edge_type = AXIS_HIDDEN
t.subplot(t.row_margins('num_rows' => num_plots, 'row' => row)) do
t.xaxis_type = AXIS_WITH_TICKS_ONLY; t.no_xlabel
cno_fraction_plot
row += 1
end
t.subplot(t.row_margins('num_rows' => num_plots, 'row' => row)) do
t.xaxis_type = AXIS_WITH_TICKS_ONLY; t.no_xlabel
opacity_plot
row += 1
end
t.reset_legend_info
t.subplot(t.row_margins('num_rows' => num_plots, 'row' => row)) do
nuclear_timescale_plot
row += 1
end
end
def zams_plots2
t.show_plot_with_legend('plot_top_margin' => 0.01, 'legend_top_margin' => 0.01) { plots2 }
end
end
ZAMSPlots.new
|