HOW IT's DONE - IMPLEMENTATION

Location impact

The background light level is classified by Bortle level, and settles the maximum exposure time to achieve an IU value of around 50.  The Bortle level roughly relates to relative brightness. 

Brightness =  IU(8bit) * Lens  block  *  Filter block / ISO / exposure time

 Location           Bortle    Bkg 1/ISOsecs  Rel Bkg     B/Noise Sony      B/Noise QHY  cooled

Grand Tetons        1              0.006                  1                    5

Junction                  2-3          0.001-0.0028     3.3                 3

Wimberly                4             0.0033                5.5                2.5                  3.3 (low I)

Austin                      5             0.0036                6.0                                        5 

Line filter reduces intensity 180x, background 1.7x

Camera limitations 

Cameras             Type       Chip        Pixel   Pixel     ADC       Pixel      Diagonal  Tech(1).    Noise(2)  IU         Introduced  Backfocus

                                                           um                  bit        count       mm                         RT        -15C           

Nikon  1000      RGB       IMX206    1.2   4000      12          16M           6          EX            120                       2018/2013

Sony 7a             RGB       IMX235    8.4   3600      14          12M         43          EX                5                        2014        18mm

QHY 183 cool   Mono    IMX183    2.4   5339      12          20M        15           EX-R            4         1             2017        17.5mm 

Svbony 305       RGB       IMX290    2.9  1500       12            2M          6           EX-R                                                       11.5mm +9 mm t2 adaptor = 20.5mm

Neximage 10    RGB        ONSemi  1.6   3800      12          11M          6                                                                                           ON Semi MT9J003 

IPhone 14         RGB       IMX586    0.8    8000      10          48M         8            EX-R stacked                       2022/2018

Canon E mount                                                                                                                                                                    44mm

Pentax M42                                                                                                                                                                           45mm

(1) EX = Exmor.  EX-R  = Exmor - R.  Exmor R is a back-illuminated version of Sony's CMOS image sensor.[3] Exmor R was announced by Sony on 11 June 2008. Sony has newly developed a unique photo-diode structure and on-chip lens optimized for back-illuminated structures, that achieves a higher sensitivity of +6dB and a lower random noise of -2dB without light by reducing noise, dark current and defect pixels compared to the conventional front-illuminated structure, 8 dB translates to a 6x improvement. 

(2) Noise at around ISO3200 20sec exposure.  G30 on QHY = 3200 ISO.

July 23, 2018 Tokyo, Japan—Sony Corporation today announced the upcoming release of the IMX586 stacked CMOS image sensor for smartphone cameras. The new sensor features 48 effective megapixels*2, the industry’s highest pixel count.*1 The new product achieved a world-first*3 ultra-compact pixel size of 0.8 μm, making it possible to pack 48 effective megapixels*2 onto a 1/2-type (8.0 mm diagonal) unit, thereby supporting enhanced imaging on smartphone cameras.​  By adopting the Quad Bayer color filter array, where the adjacent 2x2 pixels come in the same color, the new sensor delivers both high sensitivity and high resolution. In low light situations, such as shooting at night, the signal from the four adjacent pixels are added, raising the sensitivity to a level equivalent to that of 1.6 μm pixels (12 effective megapixels), to capture bright, low-noise photos and videos. When shooting bright scenes such as daytime outdoors, the built-in, original signal processing function performs array conversion, making it possible to obtain high-definition 48 effective megapixel images in real time. Phase sensitive focus.

PROGNOSIS - next gen Nikon P1000 in 2023 can use current lens, lens needs larger field size / shorter focal length with much larger pixel count, stabilized video, faster auto focus.  

 

https://www.dpreview.com/articles/4613822764/high-iso-compared-sony-a7s-vs-a7r-vs-canon-eos-5d-iii/2

Svbony Capture in SharpCap .FITS preferable to NINA. 

Gain in Sharp cap is 10x NINA  Gain 300 = ISO 3200. 

Noise level

QHY 183 cooled - 10 bit noise FWHM on 120 sec exposure so 1024 gray scale levels. 

Future developments - The X27 utilizes newly advanced BSTFA (Broad Spectrum Thin Film Array) Technology. 5M ISO ! used for Netflix Night Life documentary . SPI CORP has FINALLY introduced the X26 HFIS (Hyper Fidelity Intensified Sensor) which meets and exceed the performance of Image intensifiers and is purely Digital, The X26 sees up to 1100 Nm right at  the edge of Si band gap.  Cooled A7 full frame, no IR filter, best guess BSFTFA couples much broader wavelength range  into chip. 

https://www.x20.org/

Planets

Save as RAW16  FITS format.

PIPP -Debayer in 2 places YES , White balance YES BGGR pattern Output Split RGB NO - confirmed correct color balance 

PPG seems better. 

https://stackoverflow.com/questions/9292947/what-are-the-latest-debayer-demosaicing-technics/24202407#24202407

https://www.astropixelprocessor.com/shop/

https://blog.cuvilib.com/2014/06/12/dfpd-debayer-on-gpu/

Stack in Autostakkert  COO align

PS 3x resample.

Topaz OOF V blurry

Stars 

Stack in DSS with FITS specified in load. Output as TIFF and you get full color image.

30 sec Dark has 4(8bit) FWHM noise - comparable to QHY which makes sense.  

Wide angle HSO

Canon 8mm and 100mm lenses, back Focus = 44mm

Canon/T2 filter thickness = 24.5mm

QHY 183  = 17.5mm  + 2mm T2 tube

Sbony 305 + Adaptors = 20.5mm  does not work

Orion ED80 configurations   

400mm focal length 80mm aperture f6 lens 1.2 asecs resolution.

Focus assembly only works if focus adjust is horizontal and on bottom, with roller bearings on top. Works well with Alt/Az stage. On a GEM EQ stage, need to lock focus during moves and then rotate focus assembly BEFORE unlocking and refocus. 

400mm- focus 2cm    + Field F + T2 to NEX     + Sony7as            Camera limited resolution    400mm RGB   3.5 asecs/pix   unusable undersample

400mm- focus 5.2cm + Field F + 38mmT2      + Svb                     Diffraction/pixel match         400mm RGB   1.1 asecs/pix   undersample

400mm- focus 5.2cm + Field F + Filter wheel + QHY                    First line filter images           400mm HSL    1.1 asecs/pix

400mm-focus 4cm  + 2.5" to 1.5" + 1.5" to 5x + T2 to NEX  +  Sony7as                                      2000mm  RGB  0.8 asecs/pix  undersample

400mm-focus 1cm  + 2.5" to 1.5" + 1.5" to 5x +38mm T2   +  Svb                                               2000mm RGB   0.25 asecs/pix adequate sampling

400mm-focus 1cm  + 2.5" to 1.5" + 1.5" to 5x +85mm T2   +  Svb  (10x mag)                           4000mm RGB    0.12 asecs/pix  good sampling

Celestron 6 configurations

Check collimation 

To check collimation, place star in middle of field using eyepiece. Defocus and obstruction should be symmetric in the defocus ring. 

Move finger shadow to find mirror screw closest to narrowest ring, if in between use opposite screw 

Move star to edge of field in direction of narrowest ring. 

Adjust screw 1/6 of a turn to move star back to center of field. 

If to loose, tighten other two screws, if too tight loosen the other 2. 

Prime focus imaging  C6  0.7 asecs resolution

C6  + C6 to T2 converter + T2 to Sony E + Sony7as                                                                            1500mm RGB f10 1.0 asecs/pix  0.7x sample

C6  + C6 to T2 converter + 38mm T2 tube + QHY                                                                               1500mm HSO f10  0.35 asecs/pix  2x sample

C6  + C6 to T2 converter + T2 to C +Svbony                                                                                         1500mm RGB f10 0.35 asecs/pix

C6 to 1.25" converter + 1.25 to eyepiece + eyepiece 5x T2 + T2 to Sony E +Sony 7as                  7500mm RGB  0.2 asecs/pix     3.5x adequate sampling

C6 to 1.25" converter + 1.25 to eyepiece + eyepiece 5x T2 + T2 to C           +Svbony                     7500mm RGB 0.07asecs/pix 2amin field 10x good sampling 

RASA C6   with Hyperstar 6 V4 with filter  3 asecs resolution    Bf 39.8mm  M42

C6  +  Hyperstar M42 +  M42 to T2 + QHY                                                                                            300mm HSO f2   1.7 asecs/pix  3 degree field X

C6  +  Hyperstar M42 +  M42 to C   +Svbony                                                                                        300mm RGB f2   1.7  asecs/pix  1 degree fieldX

Hyper star back focus 39.8mm.

Filter drawer thickness = 17.5mm  need a 5 mm ring with QHY 183. 

SCT theory

SCT matches refractive for MTF< 0.25. 

At the traditional resolution of MTF = 0.5, resolution reduced 2x.

Low noise - high bit count imaging helps to recover the lost contrast.

Hyperstar theory 

Telescopes receive plan waves from a distant source. Resolution is a simple function of the lens aperture. 

Hyperstar images light at the focus of the main mirror so operates like a microscope objective receiving light from a wide angle. The resolution of the system is limited by the Hyperstar  and is a function of NA.  The HyperStar systems are not diffraction limited and are designed to produce a spot size roughly 2.5 times the size of the Airy disk. The Airy disk of f2 optic is 1.7 arcsecs.  Therefore the design limit of Hyperstar is FWHM = 4 arc secs.    

With QHY 183 camera C6 RASA has 1.7 asecs/pix  under-sampled, C14 RASA 0.6 asecs/pix optimal sampling. 

https://www.edmundoptics.com/knowledge-center/application-notes/imaging/limitations-on-resolution-and-contrast-the-airy-disk/

https://www.cloudynights.com/articles/cat/articles/the-amazing-hyperstar-a-guide-to-optimize-perf-r3013

Hyperstar collimation

Screws with white washers on HyperStar rotate camera as desired, tighten screws.

Long screws are PUSH, short are PULL. Push one, pull another see if collimation improves. 1/4 turn at a time.

Use cable tidy to id direction. 

Aim lens vertical so no side load on adjustment. Use Tri-Bakinov mask to create diffractions lines. 

Long screw is hold - release, and then twist short till lock. 

Pick bright star in center, adjust exposure so it almost saturates at gain 10. 

Should see 2 diagonal  groups of 3 lines, symmetric and centered. 

Adjust and refocus. 

Once center good, check 4 corners, identify plane in error. 

Remove mask. Check HDR or FWHM = spot size in pixels.

For RASA & QHY pixel 1934 pixels = 44 arcmins,  1.6 arcsecs/pix.

The larger apertures Hyperstars have longer focal lengths (C14 2X C6), so pixel resolution is 2x smaller, but the microscope resolution (f number) is the  same from C6 to C14, around 4 arc secs FWHM is the practical resolution of the Hyperstar. 

"With good guiding and careful focus, the HyperStar produces tight, round stars over a large field. With my C14, I typically see minimum FWHM star images in the range of 2 pixels in a stacked image, which translates to 12.8 microns or 3.9 arc-­‐sec"

https://www.cloudynights.com/articles/cat/articles/the-amazing-hyperstar-a-guide-to-optimize-perf-r3013

Comparison C11 Hyperstar 4.2 arcsecs FWHM, Edge 3.5 arcsecs FWHM. Very similar - probably seeing limited. 

https://www.astrobin.com/full/i21oxh/0/

Starizona C11 reference resolution Leo Triplet   1800 pixels = 35 arcmin, 1 pixel = 1.1 arcsecs.   FWHM = 3.3 pix = 3.5 arcsecs. 

Starizona C6 Whirlpool 4.9 asecs FWHM 

GOAL around 3 pixels FWHM looks like a digitization limit. low 4's arcsecs FWHM, 2.4 pix FWHM.  FWHM is roughly +-90% of a single edge. 

10/25/22 First test Elephants Trunk  - min star 6x6 pixels = 10x10 arcsecs coned 90% FW - needs collimation   FWHM = 5.8 pixels = 9.9 arcsecs.  Autoguide  4.24 asecs HFR RA = .85 sigma, DEC 0.4 sigma. 

Resolution test:  7 arcsecs FWHM = 1/2 pitch is 50% MTF  =(Imax-Imin)/(Imax+Imin)/ MTF(0) . Definite astigmatism.

FWHM       MTF 

asecs                   vert    horiz.

14               70%

7                 50%

4.5              20%

3                 10%     7%

11/3/22 First Bakinov collimation min star 3x3 pixels 6x6 arcsecs = FWHM 3.7 pixels.  @1.7 asecs/pix = 6.3 asecs. 

Better, not good enough. Reset Hyperstar.  Guide camera 400mm HFR =  2 asecs  RA = 0.5 sigma. 

Before  any touch of the telescope, turn tracking off, after re-select star. 

Resolution target - Use MTF and fine l/s contrast to quantitatively  optimize collimation with minimal atmospherics. At 25 meters, 2 asecs l/s (FWHM) will test C6 RASA, not usable  for  C6 SCT at 0.4 asecs FWHM. Could use 2 mirrors to lengthen baseline to 75m. Alternatively, use edges with the water tower wire at 1 asecs. Need to find 2 medium sized mirrors. 

https://www.graticulesoptics.com/sites/default/files/styles/product_xlh/public/products/optical-resolution-charts-r67-nbs-pattern.jpg?itok=sk9ulWqB

11/16/22 I set the Hyperstar with a 0.015" or 0.4mm gap.  MTF 0.5 @ 11 asecs FWHM. 

11/27/22  set the Hyperstar at zero.   Make 1/2 turn on each axis to see which has an effect. 1/4 turn is too much.

11/28/22 At zero MTF 0.5 @ 5 asecs FWHM - pixellation limited. MTF 0.3 @ 4 asecs = HFR = 3 which is target. adjust does not improve. 

Hyperstar maintenance

Before you mount the HyperStar,  use shims to set a nominal “zero position.” Select shims in the thickness range of 0.030” – 0.040”. Loosen the tilt adjustment screws, insert three identical shims and re-­‐secure the adjustment screws to create a uniform gap determined by the shim thickness. (See Figure 4.) When you are done, make sure that all of the push-­‐pull tilt adjustments are secured and remove the shims. 

https://www.cloudynights.com/articles/cat/articles/the-amazing-hyperstar-a-guide-to-optimize-perf-r3013

 

Or  Loosen ant-clockwise the 3 taller collimation screws (back them out maybe a few turns).  Then clockwise  tighten the short collimation screws, BUT, be careful because there is a slight angle between the two bottom rings on the HyperStar.  If you tighten one screw down before the others it can tilt those rings.  I run each screw gently down until each one just touches.  Then you can tighten all three.  Then just run the taller screws back down until they are tight and you will be back in the default position.  Starizona

Best results so far in default position.  

Measured resolution

MTF measured using resolution test pattern at 25 meters.

MTF = 0.5  FWHM  

Pattern 5.0 = 8 arcsecs pitch, 4 arcsecs FWHM.

Nikon P1000  12,000mm  =1.2asecs, MTF = 0.5    0.8 asecs diff limit.

                           3,000mm  =1.4asecs, MTF = 0.5   @ 0.6asecs/pix

                              100mm  = 60asecs, MTF = 0.6

Svbony 305         400mm FWHM = 4asecs, based on autoguide HFR @1.6 6asecs/pix

Svbony 305         480mm 5x   FWHM = 2.0 asecs  based on  MTF with 5x essential.

Edge FWHM =  2x 75-25% 

                               FWHM asecs      asecs/pix

C6 RASA                    10.2                   1.7     collimation limited =  FWHM 9asecs

C6/5x/Sony 7as        4                         1        digitization limited =  2 pixels per edge

C6/5x/QHY               1.1                    0.12    should be 2 x better, probably limited by mirror collimation.

Nikon P1000            1.2                    0.12     0.8 asecs diffraction limited  

ED80 5x                    1.8                    0.22     

Test 5x on Orion with Svbony camera, Nikon, C6 RASA. 

Svbony - 5x is essential to avoid digitiation artifacts.

Nikon has better MTF but jpeg artifiacts compared to ED 80. 

NINA does better debayer than Sharpcap. Sharpcap has better tools. Ezcap only works with QHY low brightness. 

Celestron NEXIMAGE 10 SOLAR SYSTEM COLOR IMAGER  $309.95   1.67um pixel Item #: 93708

Existence proof that C6/2x/ASI 3.75um pixel looks good, almost identical. 2x would give better digitization. 

Good choice for planets, if 5x causes abbertions . 

Lucky Imaging 

Guidelines for lucky imaging on stars based on paper. Sampling frequency needs to be around 30 Hz. For a 200 sec reference exposure that is being auto-guided. Pixel resolution around 1/2 FWHM is borderline under-sampling, use drizzle to provide improved grey scale. Starting with the seeing resolution,1% selection will improve resolution 2.5-3x or to diffraction limit, whichever is larger. 10% selection will improve 2-2.5x. Need low noise image collection, with no compression and maximum bit depth. Total image time of 200 secs at 20 fps = 4000 frames, 1% = 40 frames.

https://arxiv.org/pdf/astro-ph/0507299.pdf

For planets, use 2 or 5x image to get sufficient image sampling, collect 4000 frames (in 2 mins for Jupiter). Need seeing of 2 asecs or better, to get to diffraction limit.  In theory could get C6 as good as C14 example !!  Worth a trip to McDonald observatory.  

Reference Telescopes 

Jupiter 40 asecs, red spot 3 asecs diameter.

Saturn main gap 0.5 asecs, outer 0.12 asecs. 

The most common amateur solution uses video which is always compressed.

Jupiter example for C6  uses avi for 2 minutes at around 160 fps, and is under-sampled. 

C6 has 0.2 asecs/pix, (0.8^2+0.4^2)^0.5 = 1.0 FWHM based on blur of C14, diff limit 0.4 asecs FWHM,

C9.25  0.55 asecs/pic - FWHM = 2.2asecs probably seeing limited. 

C8 2x has  0.07 asecs/pix, edge = 2 pix = 0.3 FWHM based on Saturn image. 0.28 FWHM diff limit. 

C14 has 0.1 asecs/pix, edge +-25% = 2 pix = 0.4 FWHM, diff limit 0.16 asecs FWHM. 4 pixel radius blur = 0.8 FWHM matches C6.

Hubble Wide Field has  0.05 asecs/pix, HRC 0.025.  image has 0.03 asecs/pix, edge +-25% = 2 pix = 0.12 FWHM, diff limit  0.025 asecs FWHM, Design spot size = 0.1 asecs. Confirmed by Saturn outer ring space 0.1 asecs clearly resolved. 

Webb - 0.009 FWHM diff limit - 3x better than Hubble, design around 0.1 asecs. Edge 2 pix = 0.02 asecs = 0.04 asecs FWHM.

Chile adaptive optics 0.08 asecs FWHM.  https://arxiv.org/abs/2008.01364

RASA systems

C8 RASA  specification 400mm focal length, spot size  4.6 um RMS = 1 sigma, or FWHM 4.7 asecs. - HFR = 2.7 pix. 

C11 RASA specification 620mm focal length, FWHM 3.0 arcsecs. 

C9.25 - Hyperstar  FWHM =  5.4 asecs.

C11 Hyperstar 4.2 arcsecs FWHM, Edge 3.5 arcsecs FWHM.

C14 Hyperstar 3.9 arcsecs FWHM,

Phone

For astro/northern lights - need max resolution pixel and bit depth. 

48MP 1x Main: 24 mm  60 deg FOV  30arcsecs/pixel / 30 arcsecs optical resolution, ƒ/1.78 aperture, second-generation sensor-shift optical image stabilization, seven‑element lens. 12M image under-samples..  Better than Sony 7a 20mm resolution. Best choice for Northern lights. 

Turn on PRO RAW, stores 10 bit, 48Mpix image.

10 sec on tripod max still exposure time, use for stills - that is the limit before stars start to trail due to rotation. 

2 sec max time lapse video exposure time, 30 deg FOV. 

NightCap time lapse for longer exposures. store TIFF limited to 12M, use for time lapse, so 30 sec exposure time limit. 

System Performance 

 

Measured resolutions summarized below are consistent with these limitations.  Light 1 arcmin, post 25 arcsecs, wire 1 arcsecs. Gap in post 30 asecs, Perforation in post 10 asecs. 

                                                                                                                     FWHM      Diff limited

Focal length Aperture  f number    Mount         Back Focus  Camera    Measured  Resolution      PIxel res

    mm                mm                                                   mm                          arcsecs       arcsecs

8mm                                 f3.5         Canon EF      44mm       Sony7as      250                              250

20mm                               f2.0         Sony E           18mm       Sony7as       60                               100

20mm                               f1.7                                                  iPhone 1x     60                                 30 

35mm                               f3.5         Pentax M42  44mm      Sony7as        40

100mm          50mm       f2.8         Sony E           18mm       Sony7as        14                                 20

100mm                             f2.0         Canon EF      44mm      QHY                20                                  6.0

300mm        150mm       f2.0         C6 RASA T2   55mm       QHY/Svb         4             3                   1.7       diff limit = 1.75asecs, design 3asecs

400mm           60mm      f6.5         Pentax M42  44mm        Svb                  4             0.95             1.6        pixel limited ?

480mm           80mm      f7.0         Orion T2        55mm       QHY/Svb         3               0.7               1.1 

480mm           80mm      f7.0         Orion 5x        55mm       QHY/Svb         1.8            0.7               0.22              

539mm           70mm      f6.5                                Fixed         Nikon 1000     1.2            0.8               0.12      extrapolated pixels from 0.6 asecs/pix. 

1500mm       150mm      f10          C6       T2        55mm       QHY/Svb        (1.2)          0.4             0.6         1.7x sample  observable pixelation

1500mm       150mm      f10          C6       T2        55mm      Neximag10     (0.6)          0.4             0.3             

 

1500mm       150mm      f10          C6 5x Emount                 Sony 7as         2.0            0.4             1.0  

1500mm       150mm                      C6 5x T2                           Svb                  1.1             0.4             0.12        Target set up for planets. 

C14                   350mm                                                                                        0.4          0.16

Hubble            2.4 m                                                                                            0.12        0.025       0.05

Adaptive earth optics                                                                                         0.08

Webb               6.5m                                                                                             0.04        0.009       0.009

8mm Fisheye / Sony 7a   180 degree 3500 pixel  = 180 arcsecs/pixel, with Manual transform 150 degree, with PS auto Fisheye correction  85 degree field. 

Line up the full Milky Way with the long axis. Exposure time 60 secs untracked. Excellent focus with glass insert. FWHM = 2 pixels in RGB cell = 250 arcsecs.

Requires 2 shots @90 degrees for full 360. With foreground, set horizon, take 4  shots vertical stitch if MW directly overhead. Need filter for Ha line.

8mm/filter/QHY == 20mm/Sony 7a 90 degree FOV.

100mm/filter/QHY == 200mm/Sony 7a

SCT is 10x better resolution than RASA.

MILKY WAY

 

Photographing the Milky Way requires largest possible field and f number, a 20mm focal length f2 full field lens allows a full sky mosaic with around 40 images 94 degrees per field. A 20 sec untracked exposure at 2000 ISO on a astro mod camera images stars down to magnitude 10, and many nebulae.  A 8mm fisheye lens mirror compatible lens will allow filters  with a 2.5 um pixel camera QHY, will give  90 degree field of view and enhanced color contrast Milky Way. 

Basic nebula = 30s ISO2000 with 5x to reduce noise. For low intensity nebula of whole MW add 3x  105s @ ISO6400, f/2. or 10x more exposure, needs v dark skies such as Grand Staircase Escalante NP and scanning stage for 20mm lens. 

NEBULA 

The nebula within the Milky Way are some of the most visually interesting features with sizes from several degrees around Orion, to 10's of minutes.  The longest reasonably priced f2 refractive lens is 100 mm with an aperture of 60 mm and an abberation  limited resolution of 15 arcsecs.  Lenses are designed for a full frame sensor, most of which have insufficient pixel count to match the lens resolution.  Reduced field sensors (1/2 frame) can resolve closer to  the limit of the optics, so a nominal  "100 mm" f2 lens with 1/2 frame sensor has a field equivalent to a 200mm with 7 arc secs per pixel resolution. A larger (400 mm) focal length f2 telescope is available with a Schmidt Cassegrain telescope in Rowe Ackerman configuration where the secondary mirror is replaced by correction optics and imager so the focal length is solely determined by the main mirror. Resolution with the correction optics is 2 arcsecs, paired with 1/2 frame sensor.  Based on a 20 sec exposure, crude alignment to within 1 degree is fine.

Hubble palette 

Using HSO 8nm  line filters the intensity is 1/100 compared to RGB filters that have a 150 nm bandwidth.

Milky Way   8mm Canon mount with Canon-T2 filter adaptor and  QHY 

Nebula in context  100mm Canon mount  with with Canon-T2 filter adaptor and QHY 

Nebula close up C6 RASA  f2 lens combined with QHY cooled camera.

 

Gain 30 (6400ISO) and 200secs exposure gets to similar signals to Milky Way  reference conditions. An additional 10x in exposure time, requires 30 arc min (60 pixel) alignment to the pole star for tracking which  implies reasonably careful align.

GALAXIES

C6 RASA f2 lens with Svbony camera has  using  1.5 degree field 70x20secs @ 6400ISO or equivalent good for Whirlpool, and Leo Triplet. Stars with magnitude 10 just resolved.  Most deep space objects  are relatively close to pole star axis and make align to axis less critical. RGB and Ha composite image makes for a really good look. Andromeda needs larger field QHY camera with RGB filters or 2 stitched Svbony  fields. 

LENSES FOR PLANETS

The planets are much higher brightness and much smaller (20-40) arcsecs, so resolution is the key requirement.  

C6 Prime with Svbony, ideally with 5x to get lucky image oversample. 

For Jupiter 2 mins of exposure before rotation blurs. 133 pixels across, 10 hr for full rotation, 133 pixels in 5 hrs = 2 mins per pixel. Example 2 mins avi at 160  fps. Using avi will invoke compression, try 16 bit image stores. Brett Turner 300 pixels. 5x would get there. 

For repeat exposure set autotimer = 2*exp time + 10 / delay 5

FILTERS

Optolong L-Ultimate 2" Filter

The L-Ultimate is similar to Optolong's L-eNhance and L-eXtreme filters in that it is a dual band filter that allows the transmission of Oxygen III and Hydrogen Alpha wavelengths, but the L-Ultimate only allows a 3nm bandwidth, compared to the 7nm of the L-Extreme!

NORTHERN LIGHTS 

Extra batteries for cold.  

20mm or 8mm lens around 30 sec exposure, tripod essential. Sony 7a - can take video - no time lapse high ISO or iPhone RAW.

8mm/Sony7as  full 180, need two images at 90deg. For foreground, place horizon at middle, 3-4 images stacked vertically to get overhead. 

For slow moving Aroura - use iPhone time lapse - top arrow, adjust exposure to 2 sec. Need to change "preserve settings"  - Night in System.

For fast moving Aroura - use 8mm with video or iPhone  video. 

GEM stage implementation

For long exposures the telescope must scan in sync with the earth. The German EQ (GEM) stage has a Right Ascension axis that must be aligned with earths axis and a Declination axis at right angles. 

Telescope location requires visibility to Polaris and Target. 

In Austin, at patio pillar - see 10 degrees north to 30 south, 10 degrees West to 40 degrees East 

In Austin at hose bib - see 0 south to 30 north, 30 degrees West to 20 degrees East 

 

In Wimberley, lights to North 

In Junction TX, park lights to North and East 

In Junction TX, AirBnB lights to South and East.

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Celestron C6  SCT  / 5x / Sony7as

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Polar align 

The RA axis is aligned the earths axis using a camera that is mounted to the RA. The RA is rotated to find the center of rotation. The camera is also used to find the earths rotation axis which is close to the pole star. The Altitude and Azimuth adjustment is use to align the stage axis to earths axis. 

The Polemaster camera is sold by QHY for the polar align process, with a 10 degree image field. A cell phone camera is a convenient way to place the polestar in the Polemaster field. A cell phone clamp is used to mount the cell phone to the stage. 

Polemaster process

Find polestar using cell phone camera  app

Center polestar in App window 11x9 degrees wide

Follow instructions to find stage center by moving polemaster mount. Start at -60 then 0 then +60 to eliminate any square error in Polemaster to RA axis. 

Check stage axis by lining up red icon and polestar - rotate polemaster arm - 10 polemaster pixel error = 2 arc min.

Check camera align by pointing at polestar and rotating camera theta. 

Align stage center to polestar (Rough align) within  4 arcmins - 0.01 arc secs/sec star drift 

Earths axis is 44 arc mins from polestar (https://astronomy.stackexchange.com/questions/38469/the-position-of-polestar) 1/3 of the way from polestar to lambda Ursa Minor. 

Align stage center to earth axis (Fine align red to green boxes) up to 30 arc secs (single pixel) - 0.001 arc secs/sec drift

AVX use model 

Configuration

Mechanical : Telescope & cell finder mounted to AVX, plate to 400mm + SVBONY guide camera & Polaris finder mount.

Electrical: AVX Handset USB to lap top USB; Polemaster, QHY and SBONY to USB hub to lap top USB2. SBONY guide ST4 to AVX St4.

Power; Mount to Battery 12v, QHY cooler to Battery lighter.

Software :  CWI controls AVX mount, NINA controls QHY, PHD2 controls SVBONY & AVX guide, Polemaster controls Polemaster camera.

Align Components

Align guide and Polaris finder to Telescope using local reference.  Polaris is an option.

In a 2 degree field; Polaris, Rotation axis, stage axis all will be visible. Set tracking off, gain down, exposure long and create star trail. Then slew RA to see stage axis. 

Align to Stars

Connect Hand controller and QHY/NINA to USB hub to Laptop

Connect Svbony to Laptop

Use Handcontroller

1) Index

2) Star Above. Use phone to identify brightest star overhead. Use laser pointer to align telescope

3) Single star align Align Stars - bright and directly above 

Use Cell phone to find target, then telescope, keep adding references closer to the target so the key pas works and the align gets better.

Spring 

Arcturus in  Bootes

Spica  in Virgo 

Regulus in Leo 

Summer

Vega in Lys

Altair in Aquarius

Deneb 

Arcturus in  Bootes

Fall

Altair in Aquarius

Deneb

Capella in Auriga 

Stephans quintet in Andromeda 

Winter

Sirius in Canis Major 

Capella in Auriga

Rigel in Orion

Procyon in Canis Minor

Pollox in Gemini

Betelgeuse in Orion

Aldebran in Taurus

Reboot PC, cycle mount, reconnect USB.  

Restart using Last Align so mount does not move.  

Check pole align 

To measure pole align errors, skip star align , and use QHY with PHD2 in "drift mode". 

Celestron PECTool for summing PEC runs. 

Mount design RA worm gear with period 480 secs or 8 min cycle, so need at least 24 mins to get a drift trend.

Nominal  PE stage performance +-15 asecs, improved to +-2 corrected.

https://www.darkframeoptics.com/blog/mount-performance-charts-1

Baseline test using 480mm lens 1.5 asecs/pix - 30 sec exposure with drift of 0.04 asecs/sec produces 1 pixel error.  5% of the worm cycle. This will be good enough with f2 RASA optics with 2 asecs resolution. 

To preselect section of worm gear, UTILITIES/MENU/RECORD/ENTER/ENTER - indexes the worm gear. Target will be somewhere in 2 degree window.

Position directly up - measure Az error using drift feature, northerly drift  = error west of pole.  Use for high accuracy cyclic RA worm error. 

Position to E or W  - measure Alt/tilt error using drift feature, northerly drift = error north of pole. 

Position on Polaris - pick edge star with 0.15 asecs/sec untracked error. and run for 24 mins  to measure  RA, PEC and scan rate error over 600 pix with 0.1 asecs/pix resolution with no DEC axis contribution. 

https://astrocamera.net/equipmnt/p-align/drift.htm

Position directly up comparing 2 stars E and W of meridian. flipping RA and DEC sides. Collect images and find difference in RA for stars on equatorial - difference in RA is 2x orthogonality between RA and DEC.  http://company7.com/library/techin/orthogonality.html

Stage 

Analysis of tracking errors gives an idea of underlying causes. Unguided, the DEC axis is fixed so after removing linear drift from pole align and orthogonality, the residual RMS or Standard Deviation is a quantitative measure of the combined seeing and star analysis errors, and their impact on spot size. In most cases seeing dominates, so "seeing limited" star spot size FHWM = 2x  RMS or standard deviation. In Austin in summer,  the estimated seeing  limited spot size = 0.9 asecs FWHM.

 

For my AVX stage with 400mm lens & Svbony camera , the contributions to unguided RA error over a 480 sec worm gear cycle  after careful Polemaster align are;

      Raw = 2.6 asecs RMS or  +- 8  asecs 3 sigma - consistent with specification

      Pole align error contribution = 9.6 asecs p-t-p

      Worm gear contribution = 3 asecs p-t-p

      Non random 10 sec exposure = 4.5 asec p-t-p  30-50 sec period

      After non-random  error removal = 0.72  asecs RMS 

      Seeing = 0.45 asecs RMS based on unguided DEC.

      Residual random position error =  0.55 asecs RMS - probably best that can be done !

The resulting uncorrectable spot size from random positioning errors with perfect seeing  = 1.1 asecs FWHM.


The most common solution is using a guide telescope to remove both pole align error and any systematic motion errors. Guiding programs such as PHD2 have measured sub pixel  noise ( 0.3 pixel RMS)  detection of star motion by following the shape of the image of a star.  Best performance guiding needs a guided telescope and camera with similar pixel and optical resolution to the imaging telescope and camera. 

For my AVX stage guided using 400mm lens with Svbony camera  with resolution of 2 asecs FWHM, over 480 sec, with  1 sec exposure.  

           RA raw error = 0.83 asecs RMS  random that produces a  star spot size =  1.6 asecs FWHM.

           Worm error = 0.3 asecs p-t-p

The guided raw error is slightly larger than the unguided random residual, suggesting that guiding may be over correcting on noise. Guiding corrects systematic errors, attempting to correct random errors will just increase total error. increasing exposure time will  tend to average out random position errors.

This also shows guiding within 2x of seeing RMS. The seeing error can be  reduced by increasing exposure time averaging out the seeing. A 4x increase in exposure should produce a 2x improvement in noise and guiding. Another strategy is to use multiple stars so that independent random variations in each star average out. Same rule should apply 4 stars should produce 2x noise reduction.   

For the AVX stage, the practical limit to best resolution in long exposures is probably FWHM of around 1-2 arc secs. A 30 sec unguided exposure has a good chance of matching guided. 

There are alternatives with improved RA accuracy, but their tracking performance is still  limited by the alignment to the earths rotation axis.  A dedicated RA scanning stage such as the Fornax Lightrack, uses a drive on the end of a long lever to achieve a RA tracking accuracy of +-1 arcsecs over 8 mins. It needs an additional RA & DEC axis  stage to point the telescope, so there is no star find capability.  A $5000 stage such a Fornax EQ mount has a claimed full cycle error of  +- 6 arc secs. The addition of a high accuracy encoder (Telescope Drive Master) can achieve +- 1-2 arc secs.  

Two modes; open loop (unguided) and guided. 

Unguided; if using CWI make sure that Siderial rate is 100%.

Residual error tests; hand controlled  0.04 asecs/sec, Supports 30 sec exposure with Orion ED 80 with QHY - 1 asecs/pix. 

Guided

Off axis guiding will not work for RASA f2 configuration.

On axis guiding - use the Orion ED, Pentax 400mm or 100mm lens  as a piggy back guide scope on the Celestron.  

Use a mono uncooled camera.  LH uses Orion 60mm guider 240 mm focal length  32 oz. 

 

400 mm pentax lens /  M42 to T2 / 20 mm T2 /T2 to C/ SVBONY SV305 Pro Telescope Camera, 2MP USB3.0 Astronomy Camera, 1.25 inch Astronomy Guiding Camera  2 degrees 2 asecs/pix.  - Mount to shared plate with Telescope.  Vixen bar to base of shared plate.

https://www.bhphotovideo.com/c/product/852654-REG/farpoint_fvs_vixen_style_saddle.html?msclkid=34918e6f86e51b9f92a5ec1ad0508ca5  $89.00

100 mm lens - QHY as finder/guider 11 degrees, 7 asecs/pix.

Polemaster as a finder  11 degree field - 30 asecs res. 

https://www.admaccessories.com/product/dpa-pole-d-series-dovetail-adapter-for-polemaster-mounting/

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AXT test results  March 22 

Unguided 480 sec

Measurement DEC noise 0.45 asec RMS = 1/3 pixel

DEC was at neutral balance point showed 7 asec of backlash 

Drift 0.02 asec/sec  at limit for Polemaster 

Residual  RA RMS 2.6 asec 

RA PEC after 120 sec rolling average = 3 asec p-t-p, similar to pole drift, error is low when PEC is in opposite direction to pole drift. 

30 sec exposure RA 1 asec RMS - high res

120 sec exposure RA  2 asec RMS - f2 RASA PEC will help 

Unguided DEC

Error after linear = 0.45 asecs  - measures seeing and detection effects 

Unguided RA 

Error raw = 2.6 asecs RMS

Error after linear = 1.6 asecs RMS = +- 5 asecs 3 sigma

Worm contribution = 3 asecs p-t-p

Error after worm = 0.77 asecs RMS 

Subgroup 10 shows non random = 4.5 asec p-t-p  30-50 sec period

Error after sub 10 = 0.72  asecs RMS  - no obvious non randomness left.  

Contributions - Seeing 0.45 asecs RMS, random position 0.55 asecs RMS

Unguided 30 sec for high res (1 asec / pix), 120 sec for f2 RASA - add PEC

Guided 480 sec - 1 sec period.  

RA = 0.83 asecs RMS  mean zero - 1.6 asecs FWHM.

Subgroup 10 shows random variation (10 sec exposure) 

Worm contribution = 0.3 asecs p-t-p

Good enough for RASA and Galaxies.

At 1 sec exposure - 10x reduction in systematic, 15% increase in random. 

Need to increase the exposure time.  

Place DEC out of neutral balance to avoid backlash steps.

Make sure that camera axes match the RA - DEC directions... better calibration

in the case of standard deviation, the mean is removed out from observations, but in root mean square the mean is not removed. however in the case of noise where the mean is zero, the two concept are the same.

For 400mm lens aperture 70 mm aperture Dawes resolution = 0.7 asecs = FWHM  

Align results July 2022

C6 Hyperstar w. QHY 183 RT =  1.7 asecs/pix.  Drift = 0.1 asecs/sec or 30 sec unguided limit. Background G30 (3200 ISO), 6 sec exp, B = 61 IU(8)  FWHM = 4 IU(8). B/N = 15 & 1.4E-3 iso-1 sec-1. Smallest star FWHM = 3.4 asecs with poor (1.5 asecs dither) seeing and observable mis-collimation. 11Mag stars are saturated S/B = 4. Need to correct collimation. Basically performing to spec !

Fornax use model 

Fornax with  3 axis Manfrotto stage. R axis on RA plane. Tilt 1 provides DEC axis. Tilt 2 fixed at 90. 

Orthogonality error limits scanning to 0.1 asecs/sec. Accepting a 2 pixel scan error:

        100 mm lens and Sony 18 asecs/pix so up to 360 sec   

        100  mm lens and QHY   7 asecs/pix so up to 140 sec, sets limit for line filter imaging. 

         480 mm lens and Sony  4  asecs/pix so up to  80 sec, works fine with 30 sec max in the Sony.

HSO  filter image

Filter changer - 

1L/2S/3H/4O/5 clear

30s crude align 

120s needs fine align.

Calibration frames

Bias - readout noise - lens cap and short exposure

Dark - system noise - lens cap and same exposure time as lights (images)

Flats - vignette - white tee shirt over lap top screen.

Dark flats -noise on flat - lens cap with same exposure time as Flats

Collect at least 10 long exposures, with dark flats.  1/4 and 1/10 times for HDR.

Stack images in Deep Sky Stacker - group the different filters and exposure times, stack repeated images  using a common reference selected from best H image. Take non repeating images, use same reference frame, check images in turn and save. Use separate groups for different image sets that DO NOT include reference. 

In PS assemble HSL layers, change mode to RGB, align, equalize core color area, paste into RGB layers. reset black level, separately merge HDR color images, then merge color and L shorter exposure times.

Exposure times 

f2 30secs ISO2000 RGB is benchmark for good nebula =  

Filter increases exposure 500x, reduces bkg 6x.   

G30 is ISO 6000 so f2 240s G30 HOS should resolve M8. 

Example Rosette Nebula HOO image   f2  120secs x 4 frames per channel.  In Wimberly S/N  for Nebula 2.5:1, a 2x improvement with line filters for a M5.5 nebula, background 4 AU. Eagle nebula (pillars of creation M6.0 should increase exposure time to 200 secs. The nebula had a intensity of 10 AU, so darker Bortle or longer exposure for dimmer objects. 

 

Example Orion Nebula using 400mm f7 (1/10x) 120s G30 HOS filter = partial Orion nebula bkg 7, nebula edge 50. effectively 1/10 of full nebula. 4 deg field. 

 

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