Attachment 'NIKA2_Time_Estimator4.py'
Download 1 #!/usr/bin/env python
2 ##############################################################################################
3 ### Created by: P. Garcia ###
4 ### Revised by: A. Ritacco ###
5 ### Revised by: B. Ladjelate ###
6 ### Title: NIKA2_Time_Estimator.py ###
7 ### Purpose: Calculation of the total integration time for observing proposals ###
8 ### Creation Date: 2016.JULY.28 ###
9 ### Date of last revision: 2017.JAN.29 ###
10 ### Revision history: ###
11 ### - 2016.JULY.29: comments from C. Kramer & A. Sievers implemented ###
12 ### - 2016.AUG.03 : changed formula to N. Billot expression ###
13 ### - 2017.JAN.29 : - fpix set to 0.75 (commisi. results) ###
14 ### - NEFD0 @ 2 mm set to 15 mJy/sqrt(hz) (commisi. results) ###
15 ### - overhead set as used defined parameter between 1.5 - 2.0 ###
16 ### - 2017.JULY.28: - According to the NIKA2 technical paper submitted on July, 3rd 2017 ###
17 ### - fpix @1mm, 2mm set to 0.84 and 0.90, respectively ###
18 ### - NEFD0 @1mm, 2mm set to 20 and 6 mJy/sqrt(hz), respectively ###
19 ### - FWHM set to 11.2 @1mm and 17.7 @2mm ###
20 ### - 2017.SEPT.28 - An error in the data software led sensitivities too optimistics ###
21 ### - NEFD0 @1mm, 2mm set to 40 and 10 mJy/sqrt(hz), respectively ###
22 ### - 2018.JAN.20: - NEFD0 @1mm, 2mm set to 33 and 8 mJy/sqrt(hz), respectively ###
23 ##############################################################################################
24 import numpy as np, sys
25 import math
26 import sys
27 import os
28 os.system("rm -f *.py~")
29
30 #version = 'v 2017.JAN.29'
31 #version = 'v 2017.JULY.28'
32 version = 'v 2017.SEPT.28'
33
34
35 class bcolors:
36 HEADER = '\033[95m'
37 OKBLUE = '\033[94m'
38 OKGREEN = '\033[92m'
39 WARNING = '\033[93m'
40 FAIL = '\033[91m'
41 ENDC = '\033[0m'
42 BOLD = '\033[1m'
43 UNDERLINE = '\033[4m'
44
45 print ''
46 print bcolors.UNDERLINE + bcolors.HEADER + bcolors.BOLD + 'Time-estimator-NIKA2 '+version+' '+bcolors.ENDC
47 print ''
48 print bcolors.HEADER + bcolors.BOLD + ' See the "Guidelines for observing time estimates with the NIKA2 continuum camera' + bcolors.ENDC
49 print bcolors.HEADER + bcolors.BOLD + ' at the IRAM-30m Telescope" for details on used parameters and calculations.\n' + bcolors.ENDC
50
51 ################################
52 ##### CONVERSION FACTORS #######
53 ################################
54
55 ########## K_cmb ############
56 def b_v_cmb(freq,tcmb):
57 h = 6.626070040*10**(-34) # (J.s) Planck constant
58 k = 1.38064852*10**(-23) # (J/K) Boltzmann constant
59 c = 299792458 # (m/s^2) light speed
60 freq = freq*10**9 # Hz
61 bv = 1.0/(((2*h*freq**3)/((c**2)*(np.e**((h*freq)/(k*tcmb)) - 1)))*(np.e**((h*freq)/(k*tcmb))/(np.e**((h*freq)/(k*tcmb)) - 1))*(h*freq/(k*tcmb**2))) / 10**20
62 return bv
63
64 ########## Ysz ##############
65 def y_sz(freq,tcmb):
66 h = 6.626070040*10**(-34) # (J.s) Planck constant
67 k = 1.38064852*10**(-23) # (J/K) Boltzmann constant
68 c = 299792458 # (m/s^2) light speed
69 freq = freq*10**9 # Hz
70 Ysz = 1.0
71 bv = 1.0/(((2*h*freq**3)/((c**2)*(np.e**((h*freq)/(k*tcmb)) - 1)))*(np.e**((h*freq)/(k*tcmb))/(np.e**((h*freq)/(k*tcmb)) - 1))*(h*freq/(k*tcmb**2)))
72 bv = 1.0/bv
73 y_sz = (bv*tcmb)*(((h*freq/(k*tcmb))*((np.e**((h*freq)/(k*tcmb)) + 1)/(np.e**((h*freq)/(k*tcmb)) -1))) -4)*Ysz /10**(-20)
74 y_sz = 1.0/y_sz
75 return y_sz
76
77 #%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
78 #%%%%%%%%%%%%%%%%%%%%% FIXED GENERAL PARAMETERS %%%%%%%%%%%%%%%%%%%%%%
79 #%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
80
81 ################################################
82 ##### BEAM SIZES AND CONVERSION TO RADIANS #####
83 ################################################
84 res_band1_spec = 11.2 #From NIKA2 1st paper #MEMO # 12.0 # [arcsec]
85 res_band2_spec = 17.7 #From NIKA2 1st paper #MEMO # 20.0 # [arcsec]
86 teta_band1_spec = res_band1_spec*math.pi/180.0/3600.0 # in sr units
87 teta_band2_spec = res_band2_spec*math.pi/180.0/3600.0 # in sr units
88 area_teta_band1_spec = ((teta_band1_spec/2.0)**2)*math.pi # in sr units
89 area_teta_band2_spec = ((teta_band2_spec/2.0)**2)*math.pi # in sr units
90 ############################
91 ##### OTHER PARAMETERS #####
92 ############################
93 #fpix_spec = 0.75
94 fpix_spec_1mm = 0.84
95 fpix_spec_2mm = 0.90
96 bv_1 = 0.075 # band1, do not change
97 cv_1 = 0.001 # band1, do not change
98 bv_2 = 0.025 # band2, do not change
99 cv_2 = 0.001 # band2, do not change
100 tiempo = 1.0 # [hours]
101 FoV = 6.5 # [arcmin] diameter
102 FoVArea = ((FoV/2.0)**2)*math.pi # [arcmin^2]
103 narrays1 = 2
104 narrays2 = 1
105 verbose_flag = 0
106 #foverhead = 2.0 # value fixed for all proposals in 2016
107 ##########################################
108 ##### NEFDo VALUES FROM OBSERVATIONS #####
109 ##########################################
110 NEFD_band1_spec = 33 #Changed in Jan. 20 #From NIKA2 1st paper arXiv:1707.00908 #MEMO
111 NEFD_band2_spec = 8 #Changed in Jan. 20 #From NIKA2 1st paper arXiv:1707.00908 #comissioning results 2017
112
113 #######################################
114 ##### SAMPLING ANGULAR VELOCITIES #####
115 #######################################
116 sampl_vel_fast = 48.0 # [arcsec/second]
117 sampl_vel_mid = 24.0 # [arcsec/second]
118 sampl_vel_slow = 12.0 # [arcsec/second]
119 sampl_rate = 23.84 # [hz]
120 sampl_rate_pol = 2*23.84 # [hz]
121 slewing_loss = 1.0 # to account for slewing of single OTF line
122 ##########################################
123 ##########################################
124 ##########################################
125
126 rango = len(sys.argv)
127 for i in range(rango):
128
129 if sys.argv[i] == ("--help") or rango == 1:
130
131 print ' USAGE:\n'
132 print ' python NIKA2_Time_Estimator.py --help '
133 print ' python NIKA2_Time_Estimator.py --band 1 --rms 2.00 --pwv 2 --elevation 40 --Xsize 6.5 --Ysize 6.5 --filter 1.0 --overhead 1.5'
134 print ' python NIKA2_Time_Estimator.py --band 2 --rms 1.00 --pwv 4 --elevation 50 --Xsize 15 --Ysize 15 --filter 2.0 --overhead 2.0 --verbose '
135 print '\n'
136 print ' OPTIONS:\n'
137 print ' help => This help.'
138 print ' band => Set 1 or 2 for the 1 mm or the 2 mm bands, respectively.'
139 print ' rms => Wanted flux density per beam. Any value above the confusion limit in [mJy/beam].'
140 print ' pwv => Precipitable water vapor in [mm].'
141 print ' elevation => Values from 15 to < 83 [deg].'
142 print ' Xsize Ysize => Map lengths. Xsize and Ysize are in [arcmin]. Minimum map size is 6.5x6.5 [arcmin^2] for homogeneous RMS noise distribution.'
143 print ' filter => Factor for post-processing noise filtering. Values from 1.0 (point-like source) to 2.0 (extended bright emission).'
144 print ' overhead => Factor for telescope overheads between 1.5 and 2.0 (slewing, pointing, focusing, calibration), i.e. all telescope time which is not spend integrating on-source.'
145 print ' verbose => Set to get list of parameters used in the calculations, RMS noise unit conversion, and allowed OTF scan speeds.\n'
146 sys.exit()
147
148 if sys.argv[i] == ("--band"):
149 band = int(sys.argv[i+1])
150 if band == 1:
151 narrays = narrays1
152 mili = 1.2
153 if band == 2:
154 narrays = narrays2
155 mili = 2.0
156 if band < 1 or band > 2:
157 print ' %%%%%%%%%%%%%%%%%%%%%%%'
158 print bcolors.BOLD + bcolors.FAIL +' Band %2i is not defined.' % (band) + bcolors.ENDC
159 print ' %%%%%%%%%%%%%%%%%%%%%%%'
160 print ''
161 sys.exit()
162
163 if sys.argv[i] == ("--rms"):
164 rms = float(sys.argv[i+1])
165
166 if sys.argv[i] == ("--pwv"):
167 pwv = float(sys.argv[i+1])
168
169 if sys.argv[i] == ("--elevation"):
170 elevation = float(sys.argv[i+1])
171 if elevation < 15 or elevation > 83:
172 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
173 print bcolors.BOLD + bcolors.FAIL +' Elevation %3i [degrees] is outside the telescope`s limits: 15 - 83 [degrees].' % (elevation) + bcolors.ENDC
174 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
175 print ''
176 sys.exit()
177
178 if sys.argv[i] == ("--Xsize"):
179 dx = float(sys.argv[i+1])
180
181 if sys.argv[i] == ("--Ysize"):
182 dy = float(sys.argv[i+1])
183
184 if sys.argv[i] == ("--filter"):
185 filtering = float(sys.argv[i+1])
186 if filtering < 1 or filtering > 2:
187 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
188 print bcolors.BOLD + bcolors.FAIL +' Filter value %2.1f is outside the standard limits: 1.0 - 2.0' % (filtering) + bcolors.ENDC
189 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
190 print ''
191 sys.exit()
192
193 if sys.argv[i] == ("--overhead"):
194 foverhead = float(sys.argv[i+1])
195 if foverhead < 1.5 or foverhead > 2:
196 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
197 print bcolors.BOLD + bcolors.FAIL +' Overhead value %2.1f is outside the standard limits: 1.5 - 2.0' % (foverhead) + bcolors.ENDC
198 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
199 print ''
200 sys.exit()
201
202 if sys.argv[i] == ("--verbose"):
203 verbose_flag = 1
204
205 area_obs = dx*dy
206
207 if area_obs < 4.0:
208 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
209 print bcolors.BOLD + bcolors.FAIL +' Introduced map size is %3.1f [arcmin^2]. Minimum value is 4.0 [arcmin^2]' % (area_obs) + bcolors.ENDC
210 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
211 print ''
212 sys.exit()
213
214 ###############################################################################################
215 ### SIGMA ESTIMATION CALCULATION, EFFECTIVE NEFD FROM PWV GIVEN VALUES AND UNITS CONVERSION ###
216 ###############################################################################################
217
218 if band == 1:
219 tau = bv_1*pwv + cv_1
220 NEFD_spec_eff = NEFD_band1_spec*(np.e**(tau/np.sin(elevation*math.pi/180.)))
221 rms_point_MJy_spec = rms/area_teta_band1_spec/10**9
222 rms_point_cmb_spec = rms_point_MJy_spec*b_v_cmb(260,2.726)*10**6
223 rms_point_ys_spec = rms_point_MJy_spec*y_sz(260,2.726)*10**6
224 rms_point_ys_spec = np.abs(rms_point_ys_spec)
225 #########################################
226 ### ratio of areas with fraction of valid pixel in the 2mm band ###
227 #########################################
228 factor_area_spec = (1+(area_obs/(FoVArea*fpix_spec_1mm))) # from N. Billot Doc.
229 ##########################################################
230 ### Integration Time calculations for given conditions ###
231 ##########################################################
232 t_spec = ((NEFD_spec_eff*filtering/rms)**2)*factor_area_spec*(foverhead)/3600.0 #hours
233 s_map_spec = ((dx*dy)/(((NEFD_spec_eff*filtering)**2)*foverhead))*3600.0 # arcmin^2 / hour^-1/ mJy^-2
234 if band == 2:
235 tau = bv_2*pwv + cv_2
236 NEFD_spec_eff = NEFD_band2_spec*(np.e**(tau/np.sin(elevation*math.pi/180.)))
237 rms_point_MJy_spec = rms/area_teta_band2_spec/10**9
238 rms_point_cmb_spec = rms_point_MJy_spec*b_v_cmb(150,2.726)*10**6
239 rms_point_ys_spec = rms_point_MJy_spec*y_sz(150,2.726)*10**6
240 rms_point_ys_spec = np.abs(rms_point_ys_spec)
241 #########################################
242 ### ratio of areas with fraction of valid pixel in the 2mm band ###
243 #########################################
244 factor_area_spec = (1+(area_obs/(FoVArea*fpix_spec_2mm))) # from N. Billot Doc.
245 ##########################################################
246 ### Integration Time calculations for given conditions ###
247 ##########################################################
248 t_spec = ((NEFD_spec_eff*filtering/rms)**2)*factor_area_spec*(foverhead)/3600.0 #hours
249 s_map_spec = ((dx*dy)/(((NEFD_spec_eff*filtering)**2)*foverhead))*3600.0 # arcmin^2 / hour^-1/ mJy^-2
250
251 #########################################
252 #### TIME PER OTF LINE TO REACH TOTAL ###
253 #########################################
254
255 T_SLOW = slewing_loss*((dx*60.0)/sampl_vel_slow)/60.0 # [minutes]
256 T_MID = slewing_loss*((dx*60.0)/sampl_vel_mid)/60.0 # [minutes]
257 T_FAST = slewing_loss*((dx*60.0)/sampl_vel_fast)/60.0 # [minutes]
258
259 if verbose_flag == 1:
260
261 print ''
262 print '%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
263 print '%%%%%%%%%% General Parameters Used for the Calculations %%%%%%%%%%%'
264 print '%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
265 print ''
266 print '------------------------------------------------------------------------'
267 print '| Parameters | Band 1 (1.2 mm) | Band 2 (2.0 mm) |'
268 print '------------------------------------------------------------------------'
269 print '| opacity | %6.3fxpwv + %6.3f | %6.3fxpwv + %6.3f |' % (bv_1,cv_1,bv_2,cv_2)
270 print '------------------------------------------------------------------------'
271 print '| HPBW [arcsec] | %6.1f | %6.1f |' % (res_band1_spec,res_band2_spec)
272 print '------------------------------------------------------------------------'
273 print '| NEFDo [mJy.s^0.5] | %6.1f | %6.1f |' % (NEFD_band1_spec,NEFD_band2_spec)
274 print '------------------------------------------------------------------------'
275 print '| fpix | %6.2f | %6.2f |' % (fpix_spec_1mm, fpix_spec_2mm)
276 print '------------------------------------------------------------------------'
277 if band == 1:
278 print '| rms [mJy/beam] | %6.2f | |' % (rms)
279 if band == 2:
280 print '| rms [mJy/beam] | | %6.2f |' % (rms)
281 print '------------------------------------------------------------------------'
282 print '| FoV [arcmin] | %6.1f |' % (FoV)
283 print '------------------------------------------------------------------------'
284 print '| h-filtering | %6.2f |' % (filtering)
285 print '------------------------------------------------------------------------'
286 print '| h-overhead | %6.2f |' % (foverhead)
287 print '------------------------------------------------------------------------'
288 print '| OTF slow [arcsec/s] | %4i |' % (sampl_vel_slow)
289 print '------------------------------------------------------------------------'
290 print '| OTF mid [arcsec/s] | %4i |' % (sampl_vel_mid)
291 print '------------------------------------------------------------------------'
292 print '| OTF fast [arcsec/s] | %4i |' % (sampl_vel_fast)
293 print '------------------------------------------------------------------------'
294 print '| Dump [hz] | %6.2f |' % (sampl_rate)
295 print '------------------------------------------------------------------------'
296 print '| Dump POL [hz] | %6.2f |' % (sampl_rate_pol)
297 print '------------------------------------------------------------------------'
298 print ''
299
300 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
301 print ' %%%%%%%%%%%%%%%%% Units Conversion %%%%%%%%%%%%%%%%%'
302 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
303 print ''
304 print ' --------------------------------------------------------'
305 print ' | (User Defined) | Band %1i |' % (band)
306 print ' --------------------------------------------------------'
307 print ' |rms [mJy/beam] | %8.2f |' % (rms)
308 print ' --------------------------------------------------------'
309 print ' |rms point-like source [MJy/sr] | %6.2f |' % (rms_point_MJy_spec)
310 print ' |rms point-like source [K_CMB]x10^-6 | %5i |' % (rms_point_cmb_spec)
311 print ' |*rms point.like source [Ysz]x10^-6 | %5i |' % (rms_point_ys_spec)
312 print ' --------------------------------------------------------'
313 print ' |* for Ysz = 1.0 |'
314 print ' --------------------------------------------------------'
315 print ''
316
317
318 #############################
319 #### TABLE FINAL RESULTS ####
320 #############################
321
322 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
323 print ' %%%%%%%%%%%%%%%%%%%%%% Results %%%%%%%%%%%%%%%%%%%%%%'
324 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
325 print ''
326 print ' for: El = %2i (deg), PWV = %1i (mm), tau = %4.2f, rms = %6.2f' % (elevation,pwv,tau,rms)
327 print ' Area = %4.1f (arcmin^2), Filter = %4.1f, Overhead = %4.1f' % (area_obs,filtering,foverhead)
328 print ' ---------------------------------------------------------------'
329 print ' | (User Defined) | | |'
330 print ' ---------------------------------------------------------------'
331 print ' | Band | | %1i |' % (band)
332 print ' ---------------------------------------------------------------'
333 if band == 1:
334 print ' | Total Integration Time at 1mm | [hours] | %6.1f |' % (t_spec)
335 print ' ---------------------------------------------------------------'
336 print ' | Mapping speed | [arcmin^-2/hour/mJy^-2 ] | %6.1f |' % (s_map_spec)
337 if band == 2:
338 print ' | Total Integration Time at 2mm | [hours] | %6.1f |' % (t_spec)
339 print ' ---------------------------------------------------------------'
340 print ' | Mapping speed | [arcmin^-2/hour/mJy^-2 ] | %6.1f |' % (s_map_spec)
341 print ' ---------------------------------------------------------------'
342 print ' '
343
344 if verbose_flag == 1:
345
346 print bcolors.WARNING + ' WARNING1: For proposed maps taking longer than 40 minutes, the total'
347 print bcolors.WARNING + ' integration time should be split into several maps.\n' + bcolors.ENDC
348 print ' '
349 print bcolors.WARNING + ' WARNING2: Note that the confusion noise is not included in this Time'
350 print bcolors.WARNING + ' Estimator and it should be discussed in the proposal whether appro-'
351 print bcolors.WARNING + ' priate. The RMS noise does not decrease indefinitely with integra- '
352 print bcolors.WARNING + ' tion time but stops at the confusion limit caused by unresolved sour-'
353 print bcolors.WARNING + ' ces within the beam. The exact threshold at which the RMS noise '
354 print bcolors.WARNING + ' reaches the confusion limit will vary with wavelength, beam size, '
355 print bcolors.WARNING + ' and the type of astronomical source (Galactic or Extra-Galactic). For'
356 print bcolors.WARNING + ' instance, for the GOODS-N field (part of the Deep Field GT Proposal),'
357 print bcolors.WARNING + ' a preliminary 1 sigma confusion limit around ~ 0.090 mJy and ~ 0.056'
358 print bcolors.WARNING + ' mJy at 1.2 mm and 2.0 mm, respectively, has been estimated (A. Beelen,'
359 print bcolors.WARNING + ' private communication).\n' + bcolors.ENDC
360
361 print ' '
362 print ' Time per OTF line for allowed scanning speeds '
363 print ' -----------------------------------------------------'
364 print ' | | OTF Scan Velocity | TIME PER OTF LINE |'
365 print ' -----------------------------------------------------'
366 print ' | | [arcsec/s] | [minutes] |'
367 print ' -----------------------------------------------------'
368 print ' | OTF-SLOW | %6.1f | %6.2f |' % (sampl_vel_slow,T_SLOW)
369 print ' | OTF-MID | %6.1f | %6.2f |' % (sampl_vel_mid,T_MID)
370 print ' | OTF-FAST | %6.1f | %6.2f |' % (sampl_vel_fast,T_FAST)
371 print ' -----------------------------------------------------'
372 print ' '
373
374 ###############################
375 #### CONVERSION TO MINUTES ####
376 ###############################
377
378 if t_spec >= 1.:
379 time_str_spec=str(round(t_spec,1))+' hours'
380
381 if t_spec < 1. and t_spec >= 1./60.:
382 time_str_spec=str(round(t_spec*60,1))+' minutes'
383
384 if t_spec < 1./60. and t_spec >= 0.1/3600.:
385 time_str_spec=str(int(t_spec*3600))+' seconds'
386
387 if t_spec < 0.1/3600.:
388 time_str_spec='0.1 (seconds)'
389
390 slew_overhe = str(int((slewing_loss-1.0)*100.0))
391
392 ##############################
393 #### OUTPUT FINAL RESULTS ####
394 ##############################
395
396 print bcolors.HEADER + '**********************************************'
397 print '*** Total Integration Time => ' + time_str_spec + ' ***'
398 print '**********************************************\n'
399 print ''
400
401 print bcolors.HEADER + bcolors.UNDERLINE + 'Please include the following text into your proposal:\n' + bcolors.ENDC
402
403 print 'According to the specifications of the NIKA2 instrument, the total observing time using the NIKA2 '+str(band)+' mm band to map a region of '+str(round(area_obs,1))+' [arcmin^2] to reach an rms of '+str(rms)+' [mJy/beam], assuming '+str(pwv)+' [mm] pwv, '+str(elevation)+' [deg] elevation, Filter = '+str(filtering)+', Overhead = '+str(foverhead)+', was estimated to be *'+time_str_spec+'*, using the time estimator '+version+'.\n'
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