antariksha
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Posts posted by antariksha
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Hello Michael, I have not computed PA error yet. It would be a good exercise to take up. I am from India, and the monsoon ( seasonal rains) are still active, the sky is cloudy. I can probably revert in another few weeks. None the less, as I have mentioned, I have seen the tracking with no drift, to be working well for 10 min with my Bresser ExOS2 mount.
Ashirwad
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Abstract :
The topic of Polar Alignment is not at all new. Lot of approaches, automation tools are available. Yet, some aspects in all the current approaches drove me towards doing some more work. The key aspects of this approach are as follows.
- Ability to do the Polar alignment without polaris sited
- Relatively less complexity than drift alignment
- Ability to address to a good extent the atmospheric refraction to finally locate correct NCP / SCP position
- A good starting point for amateurs who wish to graduate towards sophisticated tools and techniques
- Ability to quickly verify if the polar alignment is intact after one object photographed or viewed, and the equipment is being pointed to another object. This point is mentioned in light of the fact that sometimes the polar alignment gets disturbed and the next object photographed shows star trails. This is especially true if payload is tweaked for next photo imaging.
What is required?
- One should have a good understanding of the sky and ability to identify stars upto Mag 4.5 using star maps and basic concepts of RA and Dec.
- One should have Equatorial mount with ability to fine tune Azimuth and Alt adjustments.
- Availability of cross hair eye piece for the ability to locate the star exactly at the cross hair point.
- It is good to have finder scope attached and the finder cross hair is aligned with the main telescope eye piece cross hair.
Please note this technique is not for the GoTo mounts which many times have Alt-Az mounts fitted with tracking motors. The GoTo alignment is done using 3 Star method.
However, there are a few mounts which are equatorial design and also have GoTo tracking capabilities with RA and Dec motors. For these mounts, it is preferred to carry out polar alignment. The only point about these mounts, is that GoTo should have ability to start the RA motor ( tracking) without doing the 3 Star alignment, in other words, bypassing the steps for 3 Star alignment.
The technique is based on the mathematics around the stellar current positions precisely computed. The technique suggests NCP or SCP alignment using specific pointing stars.
Method
The technique relies upon pairs of stars identified such that pair has same RA or same Dec. The details about finding such pairs, are given in the next section ( Mathematics).
Step 1
- Try to do a very coarse polar alignment using your latitude and pointing the equatorial axis approximately towards a possible Polaris direction. This is only to reduce the iterations in the method below. There is no dependency to visually site Polaris.
Step 2
- Select the pair of stars of the same RA from the table 1 below. Now, while choosing the pair, please select that pair which is closest to the zenith. This will reduce the error due to atmospheric refraction of siting those stars. Choosing such pair, will get better alignment.
- Note that the NCP and SCP lie on the same RA contour of the pair, you have just chosen.
- Locate the first star of the pair in the cross hair eye piece. Loosen the DEC knob of your Eq mount. Let the RA axis not to be loosened. Further, please start the RA motor and hence the tracking. In case of GoTo capability, please ensure the tracking is On, while the 3 Star alignment being bypassed.
- Rotate the telescope around DEC axis such that the second star of the pair is in the Cross hair eye piece. In the first attempt, the second star almost certainly will not be at the center of cross hair eye piece. And you need corrections.
- At this point, take the help of the finder with its wider field of view. Identify the position of the second star whether it is below or above the finder cross hair. Adjust the Azimuth of the mount through the coarse or fine depending on how off the second star has been.
- o Tip : In case, someone is facing difficulty in finding which direction to move Azimuth of the mount for correction, the following tips may be of use. A simple way to determine is to locate where the second star lies with respect to cross hair. Assume it is on the lower side of cross hair. Then the correction in the Azimuth of the mount should be such that the star is moved upward. It may be noted that your finder can be either inverting or non-inverting. Now, to determine the movement, please hold the finger on the lower side in front of the primary of the finder. And slowly lift the finger towards the center of the primary to obstruct it and continue moving upward. While doing so, please observe from the eyepiece. The blackish ghost image of finger will be seen moving. If movement is lower to upward, the optics is non-inverting. If ghost image moves from up to down, it is inverting. With this small trick, you would know how to apply correction.
- Once the correction is done, please point the finder to the first and then second star alternately simply by rotating around Dec axis of the mount. Both stars will be seen at the cross hair. At this point, coarse polar alignment is done.
- Now, please use the main telescope cross hair to locate the first and then second star using Dec axis movement. If required, please carry out the necessary Azimuth correction. Again, please use the above small trick to find out more on how to apply correction.
- At this point, please note that at the telescope’s high power ( with cross hair eyepiece), the Dec axis is correctly tracing two stars in your pair. Note that NCP/SCP lie on the same Dec axis. The Azimuth alignment of NCP/SCP is achieved. No more touching of azimuth knob of your Equatorial mount now.
Step 3
- Site the pair of stars of the same Dec from the table 2 below. Now, while choosing the pair, please identify roughly the midpoint of them. Now, select that pair whose midpoint is relatively closest to the Zenith. With this, one star is relatively East ward and other one almost at a same distance but Westward. This will reduce the error due to atmospheric refraction of siting those stars. Choosing such pair, will get better alignment
- In case you are unable to select a pair, please read Step 4.
- Note that the NCP and SCP lie on the centre of the Dec circle which the above pair inscribes.
- Locate the first star in the cross hair of finder. To locate the second star, please lock Dec axis. But loosen the Eq axis and rotate the telescope around Eq axis. Please carry out Alt adjustments of the mount. Please use similar procedure and tricks as in the step 2.
- Once the two stars are in the cross hair positions of the telescope, the polar alignment is completed.
Step 4 ( only if you could not carry out Step 3)
- Site the pair of stars of the same RA from the table 1 below. Now, while choosing the pair, please select another pair which is off zenith. Please try to select such pair which has both stars approx same elevation from horizon, so that their atmospheric refraction is almost same. Effectively, we cancel the atmospheric refraction influence.
- Please note that in step 2, NCP/SCP is located to be on one of the RA lines. Now, we use another RA line with this newly selected pair. Again, for these stars to be centred, please keep Eq axis fixed and only move Dec axis ( similar to step 2). However this time, the mount corrections to be done are using Alt adjustments.
- Once the two stars are in the cross hair positions of the telescope, the polar alignment is completed.
Mathematics
The starting point was the star catalog where the Epoch 2000 is taken as baseline. Then I selected the stars brighter than mag 4.5. I applied the corrections due to Earth Precession and also the individual star’s proper motion. With the base data was ready for today's’ star positions. Then I programmatically picked up all pairs for same RA (within 0.001 difference) and later all pairs with same Dec (within 0.001 difference).
I found mag 4.5 to be heuristically optimal. This magnitude is sufficient for visual locating these stars. Also, the number stars shortlisted from the main catalog is good enough to give sufficient number of required pairs.
The pairs located today may not be valid after say couple of years due to Earth Precession and stellar proper motion. The below two tables will need fresh computation then.
Disclaimer: I have tried few of the above mathematically found pairs from my location 19 Lat 73 Log. I use Bresser ExOS 2 mount. After the polar alignment, the tracking was tested for 10 min which was adequate for my current level of astrophotography.
At different altitudes, different latitudes, this is not tested. I believe, the method will definitely work for small exposures. It is to be validated if this method works for very long exposures.
Star Pairs
Table 1 : Star pairs with same RA ( useful for Step 2 and 4)
Sr No
First star (name)
First star HD Id
Second star ( name)
Second star HD Id
1
Gam Cas
5394
37 And
5448
2
Nu Per
23230
19 Tau
23338
3
Ups Tau
28024
71 Tau
28052
4
90 Tau
29388
53 Eri
29503
5
Kap Lep
33949
Rho Ori
33856
6
The Aur
40312
Del Aur
40035
7
Gam Mon
43232
Eta Gem
42995
8
Eps Gem
48329
30 Gem
48433
9
13 CMa
50013
V0415 Car
50337
10
Omi CMa
50877
The CMa
50778
11
P Pup
63922
Xi Pup
63700
12
Chi Car
65575
11 Pup
65228
13
Del Hyd
73262
E Vel
73634
14
B Vel
74180
V343 Car
74375
15
Iot Cnc
74739
Eps Hyd
74874
16
31 Leo
87837
Alp Sex
87887
17
Pi Cen
98718
Sig Leo
98664
18
Lam Mus
102249
Nu Vir
102212
19
Alp Crv
105452
Del Cen
105435
20
Gam Cen
110304
Gam Vir
110380
21
5 Boo
120477
2 Cen
120323
22
SHT 56
129116
Alp Lup
129056
23
Del Her
156164
Pi Her
156283
24
102 Her
166182
Pi Pav
165040
25
110 Her
173667
Phi Sgr
173300
26
Zet Cap
204075
Gam Pav
203608
27
Del Gru
213009
Del Cep
213306
28
Iot Cep
216228
Mu Peg
216131
29
Bet Peg
217906
Bet Psc
217891
Table 2 : Star pairs with same Dec ( useful for Step 3)
Sr No
First star (name)
First star HD
Second star ( name)
Second star HD
1
7 Cam
31278
Gam UMaj
103287
2
Iot Cyg
184006
The Boo
126660
3
H Persi
26630
Dmi?? Cass
4180
4
Pi Aur
40239
Iot Her
160762
5
39 Cyg
194317
Omi Persi
23180
6
Eta Peg
215182
Zet Cyg
202109
7
Iot Cnc
74739
Bet Tau
35497
8
Bet Peg
217906
Vet Cyg
183912
9
54 Leo
94601
Alp Vul
183439
10
Alp Tau
29139
Gam Gem
47105
11
Mu Ceti
17094
Lam Ori
36861
12
Omi Psc
10761
Bet Cnc
69267
13
Pi Ori
30836
Del Hyd
73262
14
3 Agr
198026
Lam Agr
177756
15
Iot Ori
37043
Iot Vir
124850
16
Lam Eri
33328
Eta Eri
18322
17
The Lib
142198
Del Crv
108767
18
Bet Cet
4128
Bet CMaj
44743
19
88 Aqr
218594
Pi Sgr
178524
20
88 Aqr
218594
Xi Oph
156897
21
4 Xi CMaj
46328
3 Eri???
18978
22
Rho Pup
67523
Omi CMaj
50877
23
Omc Cau???
56139
61555
24
Bet Hyd
103192
43 Eri
28028
25
2 Cen
120323
Eps Sgr
169022
26
Alp CrA
178253
Mu Seo
151890
27
Bet CrA
178345
Lam Gru
209688
28
Phi Cen
121743
Eta Cen
127972
29
Eta Col
40808
73634
30
Vel
78647
Gam Phe
9053
Good luck
Ashirwad Tillu ( ashirwadtillu@gmail.com), user name ( antariksha)
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A lot is already mentioned. In my 18" dob, I can see colours of M42, M57, Eta Carinae region. For GCs and OCs, the stars colours are seen many times. Then faint colours of ghost of Jupiter.
But generally, the rest is black and white.
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Even I was taken a back when I saw the mag lines photo. While I did believe it since it is from NASA, I did not consider it fake. But I was astonished to see the crisp lines at that galactic scale.
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Piero, I am glad things are working out well. You have one of the best collimation tools. I use the same make. Its superb.
Good to read your detailed report on your viewing. It will be fun and addictive to watch DSOs in this now. Clear skies.....
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Piero, heartiest congratulations. It is an exciting time for you now.
Clear skies!!
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Mark, best wishes. It is an exciting time for you. The DSOs will be outstanding.
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Ovi, it is a delicate operation to remove the primary. Please take care that mirror surface is protected well. Also, reassembly back into mirror cell can be tricky. Center mark can be done if you still keep mirror in mirror cell and the whole mirror cell is only taken out of your OTA. But still mirror surface needs to be protected such that nothing touches the coating.
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I do recollect my first view of Saturn in my 3" home made telescope. This is quite a few years back. But I still recollect it.
Over the years, as my equipment got upgraded, it is interesting to recollect the better and better views I have been getting.
Thanks for helping me recollect all these views due to your post.
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Just installed Stellarium 0191 on my Windows 7, 64 bit successfully. It is absolutely features packed.
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Outstanding work.. Image is really good. Congratulations....
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Yash, warm welcome.
New approach for Polar Alignment ( no dependency on siting Polaris)
in Getting Started With Imaging
Posted
Oh...
But the best part of the monsoon is, the dust gets settled. Once the clouds are gone, the sky is clear, we get excellent terrestrial visibility too. These are the best days for observations.