Attachment 'NIKA2_Time_Estimator3.py'
Download 1 #!/usr/bin/env python
2 ##############################################################################################
3 ### Created by: P. Garcia ###
4 ### Revised by: A. Ritacco ###
5 ### Title: NIKA2_Time_Estimator.py ###
6 ### Purpose: Calculation of the total integration time for observing proposals ###
7 ### Creation Date: 2016.JULY.28 ###
8 ### Date of last revision: 2017.JAN.29 ###
9 ### Revision history: ###
10 ### - 2016.JULY.29: comments from C. Kramer & A. Sievers implemented ###
11 ### - 2016.AUG.03 : changed formula to N. Billot expression ###
12 ### - 2017.JAN.29 : - fpix set to 0.75 (commisi. results) ###
13 ### - NEFD0 @ 2 mm set to 15 mJy/sqrt(hz) (commisi. results) ###
14 ### - overhead set as used defined parameter between 1.5 - 2.0 ###
15 ### - 2017.JULY.28: - According to the NIKA2 technical paper submitted on July, 3rd 2017 ###
16 ### - fpix @1mm, 2mm set to 0.84 and 0.90, respectively ###
17 ### - NEFD0 @1mm, 2mm set to 20 and 6 mJy/sqrt(hz), respectively ###
18 ### - FWHM set to 11.2 @1mm and 17.7 @2mm ###
19 ### - 2017.SEPT.28 - An error in the data software led sensitivities too optimistics ###
20 ### - NEFD0 @1mm, 2mm set to 40 and 10 mJy/sqrt(hz), respectively ###
21 ##############################################################################################
22 import numpy as np, sys
23 import math
24 import sys
25 import os
26 os.system("rm -f *.py~")
27
28 #version = 'v 2017.JAN.29'
29 #version = 'v 2017.JULY.28'
30 version = 'v 2017.SEPT.28'
31
32
33 class bcolors:
34 HEADER = '\033[95m'
35 OKBLUE = '\033[94m'
36 OKGREEN = '\033[92m'
37 WARNING = '\033[93m'
38 FAIL = '\033[91m'
39 ENDC = '\033[0m'
40 BOLD = '\033[1m'
41 UNDERLINE = '\033[4m'
42
43 print ''
44 print bcolors.UNDERLINE + bcolors.HEADER + bcolors.BOLD + 'Time-estimator-NIKA2 '+version+' '+bcolors.ENDC
45 print ''
46 print bcolors.HEADER + bcolors.BOLD + ' See the "Guidelines for observing time estimates with the NIKA2 continuum camera' + bcolors.ENDC
47 print bcolors.HEADER + bcolors.BOLD + ' at the IRAM-30m Telescope" for details on used parameters and calculations.\n' + bcolors.ENDC
48
49 ################################
50 ##### CONVERSION FACTORS #######
51 ################################
52
53 ########## K_cmb ############
54 def b_v_cmb(freq,tcmb):
55 h = 6.626070040*10**(-34) # (J.s) Planck constant
56 k = 1.38064852*10**(-23) # (J/K) Boltzmann constant
57 c = 299792458 # (m/s^2) light speed
58 freq = freq*10**9 # Hz
59 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
60 return bv
61
62 ########## Ysz ##############
63 def y_sz(freq,tcmb):
64 h = 6.626070040*10**(-34) # (J.s) Planck constant
65 k = 1.38064852*10**(-23) # (J/K) Boltzmann constant
66 c = 299792458 # (m/s^2) light speed
67 freq = freq*10**9 # Hz
68 Ysz = 1.0
69 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)))
70 bv = 1.0/bv
71 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)
72 y_sz = 1.0/y_sz
73 return y_sz
74
75 #%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
76 #%%%%%%%%%%%%%%%%%%%%% FIXED GENERAL PARAMETERS %%%%%%%%%%%%%%%%%%%%%%
77 #%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
78
79 ################################################
80 ##### BEAM SIZES AND CONVERSION TO RADIANS #####
81 ################################################
82 res_band1_spec = 11.2 #From NIKA2 1st paper #MEMO # 12.0 # [arcsec]
83 res_band2_spec = 17.7 #From NIKA2 1st paper #MEMO # 20.0 # [arcsec]
84 teta_band1_spec = res_band1_spec*math.pi/180.0/3600.0 # in sr units
85 teta_band2_spec = res_band2_spec*math.pi/180.0/3600.0 # in sr units
86 area_teta_band1_spec = ((teta_band1_spec/2.0)**2)*math.pi # in sr units
87 area_teta_band2_spec = ((teta_band2_spec/2.0)**2)*math.pi # in sr units
88 ############################
89 ##### OTHER PARAMETERS #####
90 ############################
91 #fpix_spec = 0.75
92 fpix_spec_1mm = 0.84
93 fpix_spec_2mm = 0.90
94 bv_1 = 0.075 # band1, do not change
95 cv_1 = 0.001 # band1, do not change
96 bv_2 = 0.025 # band2, do not change
97 cv_2 = 0.001 # band2, do not change
98 tiempo = 1.0 # [hours]
99 FoV = 6.5 # [arcmin] diameter
100 FoVArea = ((FoV/2.0)**2)*math.pi # [arcmin^2]
101 narrays1 = 2
102 narrays2 = 1
103 verbose_flag = 0
104 #foverhead = 2.0 # value fixed for all proposals in 2016
105 ##########################################
106 ##### NEFDo VALUES FROM OBSERVATIONS #####
107 ##########################################
108 NEFD_band1_spec = 40 #Changed in Sept. 28 #From NIKA2 1st paper arXiv:1707.00908 #MEMO
109 NEFD_band2_spec = 10 #Changed in Sept. 28 #From NIKA2 1st paper arXiv:1707.00908 #comissioning results 2017
110
111 #######################################
112 ##### SAMPLING ANGULAR VELOCITIES #####
113 #######################################
114 sampl_vel_fast = 48.0 # [arcsec/second]
115 sampl_vel_mid = 24.0 # [arcsec/second]
116 sampl_vel_slow = 12.0 # [arcsec/second]
117 sampl_rate = 23.84 # [hz]
118 sampl_rate_pol = 2*23.84 # [hz]
119 slewing_loss = 1.0 # to account for slewing of single OTF line
120 ##########################################
121 ##########################################
122 ##########################################
123
124 rango = len(sys.argv)
125 for i in range(rango):
126
127 if sys.argv[i] == ("--help") or rango == 1:
128
129 print ' USAGE:\n'
130 print ' python NIKA2_Time_Estimator.py --help '
131 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'
132 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 '
133 print '\n'
134 print ' OPTIONS:\n'
135 print ' help => This help.'
136 print ' band => Set 1 or 2 for the 1 mm or the 2 mm bands, respectively.'
137 print ' rms => Wanted flux density per beam. Any value above the confusion limit in [mJy/beam].'
138 print ' pwv => Precipitable water vapor in [mm].'
139 print ' elevation => Values from 15 to < 83 [deg].'
140 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.'
141 print ' filter => Factor for post-processing noise filtering. Values from 1.0 (point-like source) to 2.0 (extended bright emission).'
142 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.'
143 print ' verbose => Set to get list of parameters used in the calculations, RMS noise unit conversion, and allowed OTF scan speeds.\n'
144 sys.exit()
145
146 if sys.argv[i] == ("--band"):
147 band = int(sys.argv[i+1])
148 if band == 1:
149 narrays = narrays1
150 mili = 1.2
151 if band == 2:
152 narrays = narrays2
153 mili = 2.0
154 if band < 1 or band > 2:
155 print ' %%%%%%%%%%%%%%%%%%%%%%%'
156 print bcolors.BOLD + bcolors.FAIL +' Band %2i is not defined.' % (band) + bcolors.ENDC
157 print ' %%%%%%%%%%%%%%%%%%%%%%%'
158 print ''
159 sys.exit()
160
161 if sys.argv[i] == ("--rms"):
162 rms = float(sys.argv[i+1])
163
164 if sys.argv[i] == ("--pwv"):
165 pwv = float(sys.argv[i+1])
166
167 if sys.argv[i] == ("--elevation"):
168 elevation = float(sys.argv[i+1])
169 if elevation < 15 or elevation > 83:
170 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
171 print bcolors.BOLD + bcolors.FAIL +' Elevation %3i [degrees] is outside the telescope`s limits: 15 - 83 [degrees].' % (elevation) + bcolors.ENDC
172 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
173 print ''
174 sys.exit()
175
176 if sys.argv[i] == ("--Xsize"):
177 dx = float(sys.argv[i+1])
178
179 if sys.argv[i] == ("--Ysize"):
180 dy = float(sys.argv[i+1])
181
182 if sys.argv[i] == ("--filter"):
183 filtering = float(sys.argv[i+1])
184 if filtering < 1 or filtering > 2:
185 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
186 print bcolors.BOLD + bcolors.FAIL +' Filter value %2.1f is outside the standard limits: 1.0 - 2.0' % (filtering) + bcolors.ENDC
187 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
188 print ''
189 sys.exit()
190
191 if sys.argv[i] == ("--overhead"):
192 foverhead = float(sys.argv[i+1])
193 if foverhead < 1.5 or foverhead > 2:
194 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
195 print bcolors.BOLD + bcolors.FAIL +' Overhead value %2.1f is outside the standard limits: 1.5 - 2.0' % (foverhead) + bcolors.ENDC
196 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
197 print ''
198 sys.exit()
199
200 if sys.argv[i] == ("--verbose"):
201 verbose_flag = 1
202
203 area_obs = dx*dy
204
205 if area_obs < 4.0:
206 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
207 print bcolors.BOLD + bcolors.FAIL +' Introduced map size is %3.1f [arcmin^2]. Minimum value is 4.0 [arcmin^2]' % (area_obs) + bcolors.ENDC
208 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
209 print ''
210 sys.exit()
211
212 ###############################################################################################
213 ### SIGMA ESTIMATION CALCULATION, EFFECTIVE NEFD FROM PWV GIVEN VALUES AND UNITS CONVERSION ###
214 ###############################################################################################
215
216 if band == 1:
217 tau = bv_1*pwv + cv_1
218 NEFD_spec_eff = NEFD_band1_spec*(np.e**(tau/np.sin(elevation*math.pi/180.)))
219 rms_point_MJy_spec = rms/area_teta_band1_spec/10**9
220 rms_point_cmb_spec = rms_point_MJy_spec*b_v_cmb(260,2.726)*10**6
221 rms_point_ys_spec = rms_point_MJy_spec*y_sz(260,2.726)*10**6
222 rms_point_ys_spec = np.abs(rms_point_ys_spec)
223 #########################################
224 ### ratio of areas with fraction of valid pixel in the 2mm band ###
225 #########################################
226 factor_area_spec = (1+(area_obs/(FoVArea*fpix_spec_1mm))) # from N. Billot Doc.
227 ##########################################################
228 ### Integration Time calculations for given conditions ###
229 ##########################################################
230 t_spec = ((NEFD_spec_eff*filtering/rms)**2)*factor_area_spec*(foverhead)/3600.0 #hours
231 s_map_spec = ((dx*dy)/(((NEFD_spec_eff*filtering)**2)*foverhead))*3600.0 # arcmin^2 / hour^-1/ mJy^-2
232 if band == 2:
233 tau = bv_2*pwv + cv_2
234 NEFD_spec_eff = NEFD_band2_spec*(np.e**(tau/np.sin(elevation*math.pi/180.)))
235 rms_point_MJy_spec = rms/area_teta_band2_spec/10**9
236 rms_point_cmb_spec = rms_point_MJy_spec*b_v_cmb(150,2.726)*10**6
237 rms_point_ys_spec = rms_point_MJy_spec*y_sz(150,2.726)*10**6
238 rms_point_ys_spec = np.abs(rms_point_ys_spec)
239 #########################################
240 ### ratio of areas with fraction of valid pixel in the 2mm band ###
241 #########################################
242 factor_area_spec = (1+(area_obs/(FoVArea*fpix_spec_2mm))) # from N. Billot Doc.
243 ##########################################################
244 ### Integration Time calculations for given conditions ###
245 ##########################################################
246 t_spec = ((NEFD_spec_eff*filtering/rms)**2)*factor_area_spec*(foverhead)/3600.0 #hours
247 s_map_spec = ((dx*dy)/(((NEFD_spec_eff*filtering)**2)*foverhead))*3600.0 # arcmin^2 / hour^-1/ mJy^-2
248
249 #########################################
250 #### TIME PER OTF LINE TO REACH TOTAL ###
251 #########################################
252
253 T_SLOW = slewing_loss*((dx*60.0)/sampl_vel_slow)/60.0 # [minutes]
254 T_MID = slewing_loss*((dx*60.0)/sampl_vel_mid)/60.0 # [minutes]
255 T_FAST = slewing_loss*((dx*60.0)/sampl_vel_fast)/60.0 # [minutes]
256
257 if verbose_flag == 1:
258
259 print ''
260 print '%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
261 print '%%%%%%%%%% General Parameters Used for the Calculations %%%%%%%%%%%'
262 print '%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
263 print ''
264 print '------------------------------------------------------------------------'
265 print '| Parameters | Band 1 (1.2 mm) | Band 2 (2.0 mm) |'
266 print '------------------------------------------------------------------------'
267 print '| opacity | %6.3fxpwv + %6.3f | %6.3fxpwv + %6.3f |' % (bv_1,cv_1,bv_2,cv_2)
268 print '------------------------------------------------------------------------'
269 print '| HPBW [arcsec] | %6.1f | %6.1f |' % (res_band1_spec,res_band2_spec)
270 print '------------------------------------------------------------------------'
271 print '| NEFDo [mJy.s^0.5] | %6.1f | %6.1f |' % (NEFD_band1_spec,NEFD_band2_spec)
272 print '------------------------------------------------------------------------'
273 print '| fpix | %6.2f | %6.2f |' % (fpix_spec_1mm, fpix_spec_2mm)
274 print '------------------------------------------------------------------------'
275 if band == 1:
276 print '| rms [mJy/beam] | %6.2f | |' % (rms)
277 if band == 2:
278 print '| rms [mJy/beam] | | %6.2f |' % (rms)
279 print '------------------------------------------------------------------------'
280 print '| FoV [arcmin] | %6.1f |' % (FoV)
281 print '------------------------------------------------------------------------'
282 print '| h-filtering | %6.2f |' % (filtering)
283 print '------------------------------------------------------------------------'
284 print '| h-overhead | %6.2f |' % (foverhead)
285 print '------------------------------------------------------------------------'
286 print '| OTF slow [arcsec/s] | %4i |' % (sampl_vel_slow)
287 print '------------------------------------------------------------------------'
288 print '| OTF mid [arcsec/s] | %4i |' % (sampl_vel_mid)
289 print '------------------------------------------------------------------------'
290 print '| OTF fast [arcsec/s] | %4i |' % (sampl_vel_fast)
291 print '------------------------------------------------------------------------'
292 print '| Dump [hz] | %6.2f |' % (sampl_rate)
293 print '------------------------------------------------------------------------'
294 print '| Dump POL [hz] | %6.2f |' % (sampl_rate_pol)
295 print '------------------------------------------------------------------------'
296 print ''
297
298 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
299 print ' %%%%%%%%%%%%%%%%% Units Conversion %%%%%%%%%%%%%%%%%'
300 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
301 print ''
302 print ' --------------------------------------------------------'
303 print ' | (User Defined) | Band %1i |' % (band)
304 print ' --------------------------------------------------------'
305 print ' |rms [mJy/beam] | %8.2f |' % (rms)
306 print ' --------------------------------------------------------'
307 print ' |rms point-like source [MJy/sr] | %6.2f |' % (rms_point_MJy_spec)
308 print ' |rms point-like source [K_CMB]x10^-6 | %5i |' % (rms_point_cmb_spec)
309 print ' |*rms point.like source [Ysz]x10^-6 | %5i |' % (rms_point_ys_spec)
310 print ' --------------------------------------------------------'
311 print ' |* for Ysz = 1.0 |'
312 print ' --------------------------------------------------------'
313 print ''
314
315
316 #############################
317 #### TABLE FINAL RESULTS ####
318 #############################
319
320 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
321 print ' %%%%%%%%%%%%%%%%%%%%%% Results %%%%%%%%%%%%%%%%%%%%%%'
322 print ' %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'
323 print ''
324 print ' for: El = %2i (deg), PWV = %1i (mm), tau = %4.2f, rms = %6.2f' % (elevation,pwv,tau,rms)
325 print ' Area = %4.1f (arcmin^2), Filter = %4.1f, Overhead = %4.1f' % (area_obs,filtering,foverhead)
326 print ' ---------------------------------------------------------------'
327 print ' | (User Defined) | | |'
328 print ' ---------------------------------------------------------------'
329 print ' | Band | | %1i |' % (band)
330 print ' ---------------------------------------------------------------'
331 if band == 1:
332 print ' | Total Integration Time at 1mm | [hours] | %6.1f |' % (t_spec)
333 print ' ---------------------------------------------------------------'
334 print ' | Mapping speed | [arcmin^-2/hour/mJy^-2 ] | %6.1f |' % (s_map_spec)
335 if band == 2:
336 print ' | Total Integration Time at 2mm | [hours] | %6.1f |' % (t_spec)
337 print ' ---------------------------------------------------------------'
338 print ' | Mapping speed | [arcmin^-2/hour/mJy^-2 ] | %6.1f |' % (s_map_spec)
339 print ' ---------------------------------------------------------------'
340 print ' '
341
342 if verbose_flag == 1:
343
344 print bcolors.WARNING + ' WARNING1: For proposed maps taking longer than 40 minutes, the total'
345 print bcolors.WARNING + ' integration time should be split into several maps.\n' + bcolors.ENDC
346 print ' '
347 print bcolors.WARNING + ' WARNING2: Note that the confusion noise is not included in this Time'
348 print bcolors.WARNING + ' Estimator and it should be discussed in the proposal whether appro-'
349 print bcolors.WARNING + ' priate. The RMS noise does not decrease indefinitely with integra- '
350 print bcolors.WARNING + ' tion time but stops at the confusion limit caused by unresolved sour-'
351 print bcolors.WARNING + ' ces within the beam. The exact threshold at which the RMS noise '
352 print bcolors.WARNING + ' reaches the confusion limit will vary with wavelength, beam size, '
353 print bcolors.WARNING + ' and the type of astronomical source (Galactic or Extra-Galactic). For'
354 print bcolors.WARNING + ' instance, for the GOODS-N field (part of the Deep Field GT Proposal),'
355 print bcolors.WARNING + ' a preliminary 1 sigma confusion limit around ~ 0.090 mJy and ~ 0.056'
356 print bcolors.WARNING + ' mJy at 1.2 mm and 2.0 mm, respectively, has been estimated (A. Beelen,'
357 print bcolors.WARNING + ' private communication).\n' + bcolors.ENDC
358
359 print ' '
360 print ' Time per OTF line for allowed scanning speeds '
361 print ' -----------------------------------------------------'
362 print ' | | OTF Scan Velocity | TIME PER OTF LINE |'
363 print ' -----------------------------------------------------'
364 print ' | | [arcsec/s] | [minutes] |'
365 print ' -----------------------------------------------------'
366 print ' | OTF-SLOW | %6.1f | %6.2f |' % (sampl_vel_slow,T_SLOW)
367 print ' | OTF-MID | %6.1f | %6.2f |' % (sampl_vel_mid,T_MID)
368 print ' | OTF-FAST | %6.1f | %6.2f |' % (sampl_vel_fast,T_FAST)
369 print ' -----------------------------------------------------'
370 print ' '
371
372 ###############################
373 #### CONVERSION TO MINUTES ####
374 ###############################
375
376 if t_spec >= 1.:
377 time_str_spec=str(round(t_spec,1))+' hours'
378
379 if t_spec < 1. and t_spec >= 1./60.:
380 time_str_spec=str(round(t_spec*60,1))+' minutes'
381
382 if t_spec < 1./60. and t_spec >= 0.1/3600.:
383 time_str_spec=str(int(t_spec*3600))+' seconds'
384
385 if t_spec < 0.1/3600.:
386 time_str_spec='0.1 (seconds)'
387
388 slew_overhe = str(int((slewing_loss-1.0)*100.0))
389
390 ##############################
391 #### OUTPUT FINAL RESULTS ####
392 ##############################
393
394 print bcolors.HEADER + '**********************************************'
395 print '*** Total Integration Time => ' + time_str_spec + ' ***'
396 print '**********************************************\n'
397 print ''
398
399 print bcolors.HEADER + bcolors.UNDERLINE + 'Please include the following text into your proposal:\n' + bcolors.ENDC
400
401 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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