66from astropy .utils import iers
77import sys , subprocess
88
9- def polarcalc (mylat , mylong , myelev , time , p1RA , p1DEC , p2RA , p2DEC , p3RA , p3DEC ):
10- #iers.conf.auto_download = False
11- #iers.conf.auto_max_age = None
12-
13- #Create time object based on given time
14- observing_time = Time ('2020-08-10 3:00:05' )
15-
16- #Create location object based on lat/long/elev
17- observing_location = EarthLocation (lat = mylat * u .deg , lon = mylong * u .deg , height = 177 * u .m )
18-
19- #Create coordinate objects for each point
20- p1 = SkyCoord (p1RA , p1DEC , unit = 'deg' )
21- p2 = SkyCoord (p2RA , p2DEC , unit = 'deg' )
22- p3 = SkyCoord (p3RA , p3DEC , unit = 'deg' )
23- p1X = (90 - p1 .dec .degree ) * math .cos (p1 .ra .radian )
24- p1Y = (90 - p1 .dec .degree ) * math .sin (p1 .ra .radian )
25- p2X = (90 - p2 .dec .degree ) * math .cos (p2 .ra .radian )
26- p2Y = (90 - p2 .dec .degree ) * math .sin (p2 .ra .radian )
27- p3X = (90 - p3 .dec .degree ) * math .cos (p3 .ra .radian )
28- p3Y = (90 - p3 .dec .degree ) * math .sin (p3 .ra .radian )
29-
30- #Calculate center of circle using three points in the complex plane. DEC is treated as unitless for the purposes of the calculation.
31- x , y , z = complex (p1X ,p1Y ), complex (p2X ,p2Y ), complex (p3X ,p3Y )
32- w = z - x
33- w /= y - x
34- c = (x - y )* (w - abs (w )** 2 )/ 2j / w .imag - x
35- resultX = - c .real
36- resultY = c .imag
37-
38- #Convert X/Y values of circle into RA/DEC
39- resultDEC = (90 - math .sqrt (resultX ** 2 + resultY ** 2 ))
40- resultRA = math .atan2 (resultY , resultX )* 360 / (2 * math .pi )
41- if resultRA < 0 :
42- resultRA = (180 - abs (resultRA ))+ 180
43-
44- #Create coordinate object for current alignment offset
45- offset = SkyCoord (resultRA , resultDEC , frame = 'icrs' , unit = 'deg' )
46- print (f"Current alignment in RA/DEC: { offset .ra .to_string (u .hour , precision = 2 )} /{ offset .dec .to_string (u .deg , precision = 2 )} ." )
47-
48- #Create coordinate object for pole
49- pole = SkyCoord (0 , 90 , frame = 'icrs' , unit = 'deg' )
50-
51- #Create coordinate object for pole
52- poleAzAlt = pole .transform_to (AltAz (obstime = observing_time ,location = observing_location ))
53- print (f"True polar alignment in Az./Alt.: 0h00m00s/{ Angle (mylat * u .degree ).to_string (u .degree , sep = ('d' , 'm' , 's' ), precision = 2 )} ." )
54-
55- #Transform current alignment to Alt/Az coordinate system
56- #offsetAzAlt = offset.transform_to(AltAz(obstime=observing_time,location=observing_location, temperature=25*u.deg_C, pressure=101325*u.Pa, relative_humidity=0.5))
57- offsetAzAlt = offset .transform_to (AltAz (obstime = observing_time ,location = observing_location ))
58- print (f"Current alignment in Az./Alt.: { offsetAzAlt .az .to_string (u .hour , precision = 2 )} /{ offsetAzAlt .alt .to_string (u .deg , precision = 2 )} ." )
59-
60- #Calculate offset deltas from pole
61- if offsetAzAlt .az .deg < 180 :
62- errorAz = - offsetAzAlt .az .deg * 60
63- else :
64- errorAz = (360 - offsetAzAlt .az .deg )* 60
65- print (f"Azimuth error correction is: { errorAz :.4f} arcminutes." )
66- errorAlt = (mylat - offsetAzAlt .alt .deg )* 60
67- print (f"Altitude error correction is: { errorAlt :.4f} arcminutes." )
68-
69- return errorAz , errorAlt
9+ def polarcalc (mylat , mylong , myelev , observing_time , p1RA , p1DEC , p2RA , p2DEC , p3RA , p3DEC ):
10+ #iers.conf.auto_download = False
11+ #iers.conf.auto_max_age = None
12+
13+ #Create time object based on given time
14+ observing_time = Time (observing_time )
15+
16+ #Create location object based on lat/long/elev
17+ observing_location = EarthLocation (lat = mylat * u .deg , lon = mylong * u .deg , height = myelev * u .m )
18+
19+ #Create coordinate objects for each point
20+ p1 = SkyCoord (p1RA , p1DEC , unit = 'deg' )
21+ p2 = SkyCoord (p2RA , p2DEC , unit = 'deg' )
22+ p3 = SkyCoord (p3RA , p3DEC , unit = 'deg' )
23+ p1X = (90 - p1 .dec .degree ) * math .cos (p1 .ra .radian )
24+ p1Y = (90 - p1 .dec .degree ) * math .sin (p1 .ra .radian )
25+ p2X = (90 - p2 .dec .degree ) * math .cos (p2 .ra .radian )
26+ p2Y = (90 - p2 .dec .degree ) * math .sin (p2 .ra .radian )
27+ p3X = (90 - p3 .dec .degree ) * math .cos (p3 .ra .radian )
28+ p3Y = (90 - p3 .dec .degree ) * math .sin (p3 .ra .radian )
29+
30+ #Calculate center of circle using three points in the complex plane. DEC is treated as unitless for the purposes of the calculation.
31+ x , y , z = complex (p1X ,p1Y ), complex (p2X ,p2Y ), complex (p3X ,p3Y )
32+ w = z - x
33+ w /= y - x
34+ c = (x - y )* (w - abs (w )** 2 )/ 2j / w .imag - x
35+ resultX = - c .real
36+ resultY = c .imag
37+
38+ #Convert X/Y values of circle into RA/DEC
39+ resultDEC = (90 - math .sqrt (resultX ** 2 + resultY ** 2 ))
40+ resultRA = math .atan2 (resultY , resultX )* 360 / (2 * math .pi )
41+ if resultRA < 0 :
42+ resultRA = (180 - abs (resultRA ))+ 180
43+
44+ #Create coordinate object for current alignment offset
45+ offset = SkyCoord (resultRA , resultDEC , frame = 'itrs' , unit = 'deg' , representation_type = 'spherical' , obstime = Time (observing_time ))
46+ print (f"Current alignment in RA/DEC: { Angle (resultRA * u .deg ).to_string (u .hour , precision = 2 )} /{ Angle (resultDEC * u .deg ).to_string (u .degree , precision = 2 )} ." )
47+
48+ #Create coordinate object for pole
49+ pole = SkyCoord (0 , 90 , frame = 'itrs' , unit = 'deg' , representation_type = 'spherical' , obstime = Time (observing_time ))
50+
51+ #Create coordinate object for pole
52+ poleAzAlt = pole .transform_to (AltAz (obstime = Time (observing_time ),location = observing_location ))
53+ print (f"True polar alignment in Az./Alt.: 0h00m00s/{ poleAzAlt .alt .to_string (u .degree , precision = 2 )} ." )
54+
55+ #Transform current alignment to Alt/Az coordinate system
56+ offsetAzAlt = offset .transform_to (AltAz (obstime = Time (observing_time ),location = observing_location ))
57+ print (f"Current alignment in Az./Alt.: { offsetAzAlt .az .to_string (u .hour , precision = 2 )} /{ offsetAzAlt .alt .to_string (u .degree , precision = 2 )} ." )
58+
59+ #Calculate offset deltas from pole
60+ #Normalize the azimuth values to between -180 and 180 degrees prior to determining offset.
61+ errorAz = (((poleAzAlt .az .deg + 180 ) % 360 - 180 )- ((offsetAzAlt .az .deg + 180 ) % 360 - 180 ))* 60
62+ print (f"Azimuth error correction is: { errorAz :.4f} arcminutes." )
63+ errorAlt = (poleAzAlt .alt .deg - offsetAzAlt .alt .deg )* 60
64+ print (f"Altitude error correction is: { errorAlt :.4f} arcminutes." )
65+
66+ return errorAz , errorAlt
7067
7168#Latitude in degrees
7269mylat = float (sys .argv [1 ])
@@ -75,42 +72,45 @@ def polarcalc(mylat, mylong, myelev, time, p1RA, p1DEC, p2RA, p2DEC, p3RA, p3DEC
7572mylong = float (sys .argv [2 ])
7673
7774#Elevation in meters
78- myelev = sys .argv [3 ]
75+ myelev = float ( sys .argv [3 ])
7976
8077#YYYY-MM-DD HH:MM:SS format
8178time = sys .argv [4 ]
8279
8380#All RA/DEC values must be in compatible format to Astropy.coordinates library.
8481#Preferrably degrees, but 00h00m00.0s and 00d00m00.0s should also work
85- p1RA = sys .argv [5 ]
86- p1DEC = sys .argv [6 ]
87- p2RA = sys .argv [7 ]
88- p2DEC = sys .argv [8 ]
89- p3RA = sys .argv [9 ]
90- p3DEC = sys .argv [10 ]
82+ p1RA = float ( sys .argv [5 ])
83+ p1DEC = float ( sys .argv [6 ])
84+ p2RA = float ( sys .argv [7 ])
85+ p2DEC = float ( sys .argv [8 ])
86+ p3RA = float ( sys .argv [9 ])
87+ p3DEC = float ( sys .argv [10 ])
9188
9289#Serial port address for Arduino, typically /dev/ttyACM0 in Astroberry, possibly /dev/ttyACM1
93- serialport = sys .argv [11 ]
90+ if len (sys .argv ) <= 11 :
91+ serialport = "/dev/ttyACM0"
92+ else :
93+ serialport = sys .argv [11 ]
9494
9595result = polarcalc (mylat , mylong , myelev , time , p1RA , p1DEC , p2RA , p2DEC , p3RA , p3DEC )
9696
97- #Verify error correction values can be handled by AutoPA hardware (assuming it is in home/centered position)
97+ #Verify error correction can be handled by AutoPA hardware (assuming it is in home/centered position)
9898moveAz = "N"
9999if abs (result [0 ]) > 120 :
100- moveAz = input ("Azimuth error may be out of bounds of hardware capabilities if not in home position. Continue? (Y/N): " )
100+ moveAz = input ("Azimuth error may be out of bounds of hardware capabilities if not in home position. Continue? (Y/N): " )
101101else :
102- moveAz = "Y"
102+ moveAz = "Y"
103103if moveAz .upper () == "Y" :
104- #Call process to move azimuth using elevated privileges to override any existing serial connection
105- subprocess .call (['sudo' , './altaz.py' , "az" , str (result [0 ]), serialport ])
104+ #Call process to move azimuth using elevated privileges to override any existing serial connection
105+ subprocess .call (['sudo' , './altaz.py' , "az" , str (result [0 ]), serialport ])
106106
107107moveAlt = "N"
108108if result [1 ] > 168 :
109- moveAz = input ("Altitude error may be out of bounds of hardware capabilities if not in home position. Continue? (Y/N): " )
109+ moveAz = input ("Altitude error may be out of bounds of hardware capabilities if not in home position. Continue? (Y/N): " )
110110elif result [1 ] > 432 :
111- moveAz = input ("Altitude error may be out of bounds of hardware capabilities if not in home position. Continue? (Y/N): " )
111+ moveAz = input ("Altitude error may be out of bounds of hardware capabilities if not in home position. Continue? (Y/N): " )
112112else :
113- moveAlt = "Y"
113+ moveAlt = "Y"
114114if moveAlt .upper () == "Y" :
115- #Call process to move altitude using elevated privileges to override any existing serial connection
116- subprocess .call (['sudo' , './altaz.py' , "alt" , str (result [1 ]), serialport ])
115+ #Call process to move altitude using elevated privileges to override any existing serial connection
116+ subprocess .call (['sudo' , './altaz.py' , "alt" , str (result [1 ]), serialport ])
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