10 Months of deep sky astrophotography

When I started this site, I just began taking my first astrophotos. The image below was my first attempt to capture the Orion Nebula with my iPhone.

First try at m42 with iPhone

First try at m42 with iPhone

After this first attempt, I improved my astrophoto skills by practicing with planetary imaging. But still, I couldn’t squeeze any more out of the iPhone than this:

Final try at m42 with iPhone

Final try at m42 with iPhone

I decided it had been my final try at iPhone deep sky imaging. I tried my luck with both xbox live and ps3 webcams, but the xbox live cam didn’t pick up anything special and I still haven’t got the ps3 cam to do long exposures.

After I bought my DSLR I could do untracked 0.8 second exposures without too much trailing, but the 0.8 second exposures aren’t that exciting really. It’s my new motorized tracking mount in combination with my DSLR that makes all the difference. When last week the thick layer of clouds showed the tiniest opening, I immediately set up my telescope to take advantage. Unfortunately the opening was so small, that by the time I had everything up and running – which didn’t take that long – a milky but slightly transparent blanket covered the skies again. To make things worse, some serious winds shook my telescope tubes every now and then.

Bright as the Moon is, I could just lower the ISO values and take a decent picture of it through the clouds. To give you an idea of the amount of clouds present, I’ve also added a few images taken at higher ISO values so that you can see the clouds passing in front of the Moon.

Moon at low ISO values

Moon at low ISO values

Despite the once more disappointing skies and the feisty gusts of wind, I decided to try finding the Orion Nebula. After a while I succeeded in doing so and started taking 20 second exposures between successive wind gusts and through the clouds. The majority of the images showed massive trailing and were useless. Some however, were not that bad and after 30 minutes or so I had 4 or 5 decent shots.

After stacking and some post processing, I was suprised to find that I had also captured the Running Man Nebula, which isn’t as bright as the Orion Nebula itself. All in all, the small stack of photos, taken at seriously bad conditions, ended up in my best photo of the Orion Nebula yet. I can’t wait to test my setup under really good conditions 🙂

M42 taken with DSLR and tracking mount through a thin layer of clouds

M42 taken with DSLR and tracking mount through a thin layer of clouds

Limb darkening in this image of today’s Sun

I was given a proper solar filter for my birthday about 1,5 month ago and I hadn’t taken a single photograph through it. Until today. Today, around noon, I took this (pretty awesome) picture of the Sun:

40 frame stack of the Sun at 12.00 GMT+1, as seen from Enschede

40 frame stack of the Sun at the 21st of nov. 2014, 12.00 GMT+1, as seen from Enschede

In this image (which I colored yellow-orange-ish because you probably feel more familiar with a yellow sun than a white one), the outer regions of the Sun appear clearly less bright than near the center. This is a well studied effect and is called ‘limb darkening’. In the Eddington approximation, the intensity depends on the angle between the outgoing light and the axis perpendicular to the surface. The equation that describes this intensity is not more difficult than one cosine and 2 fractions:

limb_darkening

In the figure below, I have added 3 blue bars on the Sun’s disk, with their corresponding angles. The intensities given by measuring the mean pixel values that my DSLR gives me, are probably not the most accurate, but they are the best I can do (the intensity gradient is probably altered by the used solar filter and the DSLR settings). I have normalized the mean values with the maximum pixel value of 255 so that my measured values become 0.72 in the center, 0.60 at 71% of the radius and 0.28 at the edge of the Sun.

Measured intensities at different angles

Measured intensities at different angles

In the table below I have listed the measured values and those given by the equation I showed you. The fact that the value for theta=0 is the same was to be expected since I used this as the center intensity. The fact that the other 2 values correspond very good however, comes as quite a surprise. I didn’t really expect it to be this accurate, but the changes in contrast caused by the equipment and software seem to balance out pretty good.

table of measured and calculated values

Anyway, I just wanted to show you that the predicted limb darkening is apparent in the photo I made 🙂