Home / Learning to Measure Double Stars
by Ian Coster 10/04/05 | Email Author Voice your opinion about this topic in the forums
Introduction
Like many
people who return to astronomy I was interested in the hobby when I was younger
but as the teen years went on I was drawn into other activities although I did
observe occasionally with my trusty 8x30 Tasco binoculars from my back garden
or when I went away on holiday.
My wife
suggested we buy a telescope a couple of years ago and I am now the proud owner
of 3 scopes. A 4.5” Newtonian (semi-retired) and ETX 70 and an Orion Optics 8”
f6 Newtonian that is now my main scope.
The challenge
I face where I live 51.5 degrees north and 0.26 west is the light pollution
from London. The night sky isn’t black it is orange! I am
fortunate
because to my south is Richmond Park an area of 10 square miles with no
lights. This means that light pollution to the South is lower than any other
direction. On a good night the ZLM is 4-4.5. I can sometimes see all the stars
of Ursa Minor but this is rare.
Experience
When I
first started observing I spent many hours seeking ‘faint fuzzies’ and this
proved to be exceptionally frustrating. Fortunately I do not give up easily and
decided to find a way to enjoy the astronomy from my back garden. The moment of
revelation came when I planned to view some double stars. The first target was
Eta Casseopia and it was a sheer joy. Firstly I could see the object in my
finderscope and when I focused in on the object there it was matching the
description in my starter astronomy handbook (Collins Guide to Stars and
Planets – I book a thoroughly recommend).
2 stars,
Yellow and red hanging in space together. I was hooked. I had purchased a
Norton’s Star atlas and started to work my way through the doubles listed. At
the UK Astrofest 2005 I purchased 2 books
‘A Visual
Atlas of Double Stars’ by Mike Ropelewski published by the Webb
Society
‘Observing
and Measuring Visual Double Stars’ edited by Bob Argyle.
Both these
books came with an extensive list of doubles to view I have observed 90 doubles
from ‘ A Visual Atlas’ and have drawn 66 sketches of doubles some of which are
not in the book. On average I view about 20 double stars a month (Weather
permitting!!)
The
‘Observing and Measuring…’ book contains a full list of the Washington Double
Star list, the Tycho catalogue and much additional useful information on a CD-Rom.
I am now
moving beyond ‘the beginner’ level in Astronomy. I am comfortable with the
constellations. I am even competent with setting circles!! And I have built up
a reasonable quantity and quality of information from my observations.
Equipment
With the recent
purchase of an Orion Optics 8” F6 Newtonian I have a ‘scope that will perform
to a level that I will need if I am going to improve on my current expertise.
Orion
Optics 8” f6
I must
emphasise I am in no
way an expert but I hope to show you that anyone who has basic astronomical
knowledge, a good scope, a stopwatch and a scientific calculator can make
accurate observations of open/wide double stars.
My
measuring kit.
12.5mm
Ortho, 2x Barlow, Stopwatch.
Motivation
In my
(very) limited experience there are 2 main areas that can be explored with
double stars or any astronomical passion and it is summed up by the title of
Bob Argyle’s book.
We can observe them visually or with
webcams and CCDs, We
can note the colour contrasts e.g. Alberio, gamma Andromeda or the similarity
e.g. Castor. My sketch book is full of comments about the
colours you can see and
estimating the magnitudes of the components.
We can also
measure them accurately to possibly
assist in the refining of stars orbits and from that the mass of the 2
components. As the Mass of the Star is central to calculating absolute
magnitude and comparing this with apparent magnitude you can begin to calculate
more accurate stellar distances.
Observations and Calculations
In chapter
12 of the ‘Observing and Measuring Visual Double Stars’ Tom Teague has written
about simple techniques of measurement.
These are
the ring micrometer method, the chronometric method and the illuminated reticle
eyepiece.
I have an
un-motored EQ5 mount and do not own a reticle eyepiece but I do own a 12.5mm
orthoscopic eyepiece and a 2x Barlow. The eyepiece has a well constructed field
stop made of metal and combined with the Barlow makes an ideal ring micrometer.
The process
of calculating the PA and separation using this method is convoluted but after
a few attempts I can get results within a few minutes of starting the
calculations.
All you
need to record the transits are a decent eyepiece (and a Barlow), a stop watch
and pen and paper
The first
vital piece of information you need to know is how wide your field of view is.
The way to do this is to choose 2 stars that are similar in brightness, quite
close in RA and just under the width of your FOV in DEC.
You can
then take a number of timings as the stars enter and leave the FOV.
Finding a
pair of stars that fit the above description is easier said than done. I found
the 2 stars Chi Hercules and HIP77763 were ideal for this purpose.
Once you
have found these stars you need their declination to at least 1 decimal place.
I obtained this information from Simbad. http://simbad.u-strasbg.fr/sim-fid.pl
Chi
Hercules was 42:27:05.5
HIP77763
was
42:35:12.9
This
information combined with the transit time allows for an accurate calculation
of the field of view.
There are
additional factors to take into consideration e.g. atmospheric refraction but
they are too advanced to be considered here.
Below is a
table with the timings I took.
Field of
View Measurements
|
Timing1
|
Timing2
|
Timing3
|
Timing4
|
Timing5
|
Timing6
|
Timing7
|
Timing8
|
Timing9
|
Star
|
South
ingress(entry)
|
0.00
|
0.00
|
0.00
|
0.00
|
0.00
|
0.00
|
0.00
|
0.00
|
0.00
|
Chi Herc
|
North
ingress
|
14.43
|
11.64
|
11.02
|
8.49
|
16.80
|
9.49
|
8.18
|
12.55
|
8.70
|
HIP77763
|
North
Egress (exit)
|
41.83
|
44.42
|
44.39
|
45.64
|
41.96
|
45.49
|
43.52
|
43.88
|
43.52
|
HIP77763
|
South
Egress
|
54.99
|
53.14
|
53.39
|
52.27
|
55.27
|
52.70
|
52.77
|
54.17
|
52.86
|
Chi Herc
|
The CD-Rom
contains software to calculate the field radius and after inputting this data
the software gave a field radius figure of 351”
Using the
formulas from the book and taking the mean of the transits I also calculated a
figure for the field radius and arrived at 331”
In the
spirit of compromise I decided to use to use a figure of 340” as my field
radius.
First attempt
The first
Double I chose to measure was Theta Lyra.
I was a
certainly wide enough at nearly 100” and with magnitudes of approximately 4.5
& 10 they would be easy to follow in the 8” scope.
Timing
measurements for Theta Lyra
|
Field
Radius 340"
|
|
|
|
|
|
North
Field
|
Timing1
|
Timing2
|
Timing3
|
Timing4
|
Timing5
|
Mean
|
A1
|
0.00
|
0.00
|
0.00
|
0.00
|
0.00
|
0.00
|
B1
|
9.39
|
10.24
|
11.30
|
10.71
|
10.42
|
10.41
|
A2
|
47.45
|
51.34
|
45.05
|
46.92
|
48.98
|
47.95
|
B2
|
53.20
|
56.74
|
49.02
|
51.42
|
54.02
|
52.88
|
PA
|
72.43
|
63.05
|
63.30
|
64.11
|
64.42
|
65.46
|
Sep
|
93.62
|
103.87
|
101.19
|
100.09
|
101.24
|
100.00
|
The actual
measurements of Theta Lyra are PA 70 and Separation of 98.8”.
My
measurements show that separation is quite close but the position angle is off
by 5 degrees. As it was my first attempt I was reasonably pleased and I knew
that with a bit of practice I would become more accurate.
I
determined to try another pair that were reasonably bright and should be able
to be measured with some degree of accuracy.
I chose
Zeta Lyra as they were stars of even brightness (4.3 and 5.6) and well
separated.
Second Attempt
Below are 5
of measurements I made of Zeta Lyra
Zeta Lyra
|
Field
Radius 340"
|
|
|
|
|
|
South
Field
|
Timing 1
|
Timing 2
|
Timing 3
|
Timing 4
|
Timing 5
|
Mean
|
A1
|
0.00
|
0.00
|
0.00
|
0.00
|
0.00
|
0.00
|
B1
|
5.79
|
6.25
|
4.85
|
5.12
|
5.74
|
5.55
|
B2
|
37.29
|
36.27
|
44.87
|
42.51
|
40.43
|
40.27
|
A2
|
39.41
|
38.57
|
45.72
|
43.70
|
42.42
|
41.96
|
PA
|
149.4
|
148.2
|
147.9
|
147.9
|
151.8
|
149.04
|
Sep
|
42.5
|
44.2
|
44.4
|
43.7
|
46.8
|
44.31
|
Field
Radius 330"
|
|
|
|
|
|
|
PA
|
150.8
|
149.4
|
149.7
|
149.5
|
153.3
|
150.53
|
Sep
|
44.3
|
45.8
|
46.7
|
45.7
|
49.0
|
46.28
|
I have
included figures for a field radius of 330” for comparison to show how a small
change in the filed stop diameter can influence the data.
The actual
figures for Zeta Lyra given in Norton’s Star Atlas are PA 150, Separation 44.0”
and to achieve figures that are within a degree of the PA and less than 1 arc
second out is a result I am very pleased with.
In the
Chapter written by Tom Teague he states that the ring micrometer method will
give consistent results on very wide pairs e.g. pairs wider than 100+”
separation.
My
measurements of Zeta Lyra show that accurate measurements can be made of Stars
much closer than 100+”.
I do not
know if the equality of brightness helps the measurements or my skill level has
improved. Stars that are fainter will be harder to spot when they enter the
field of view and so the human error factor must be more significant.
Calculations
I have not
included the full calculations but here is a snap shot of some of the ‘working
out’ I have undertaken.
The only
piece of advice I will give you is keep a clear set of information available, I
keep written records and input the raw
data into excel. This is useful when you mess up the calculations and have to
start again as I have had to on several occasions.
There is
also no getting away from the manual calculation process. It does take a bit of
time and you have to check and recheck the information as it is very easy for
errors to creep in. Being a UK resident means
that there are plenty
of cloudy nights to complete this exercise.
I have not
included any information on measuring atmospheric refraction that can ‘move’
the stars from their true position. This is mainly because I haven’t got my
mind round the equations yet!!
Conclusion
Double Star
measurement is a challenging but very rewarding element of the astronomy hobby.
I have only just started in this particular area but I hope that this will
inspire some more people to try this aspect of astronomy. You can use any type
of telescope on any mount with any eyepiece. The only tool you have to buy is a
stopwatch (I found my mobile phone had a stopwatch feature on it after I
purchased the sports stopwatch!!).
Double star
measurement is also one of the few areas of astronomy that you can attempt on a
partly cloudy, light polluted night. You do not need pristine night or a sky
that is mag 6.5.
The
calculations are intricate but with a scientific calculator they are not
difficult.
This aspect
of the hobby appeals to me because you are accurately measuring an object
Hundreds of light years away using nothing more than a telescope and a cheap
stopwatch and with these tools you could provide valuable information to the
professional astronomy community.
I am
pleased with my initial attempts at measuring double stars and I will be
looking at further doubles to measure. Wide and faint doubles are a neglected
area so there is plenty of room for people to contribute.
I would
like to hear how any attempts at measurements went. I can be emailed on
iancoster@fast24.co.uk
Who knows
if I live long enough I might be able to measure Porrima this way!!
Clear Skies
Ian
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