Thank you all for your kind comments ! Here is some information regarding the photos:
The Takahashi is a very fine apochromatic refractor. Its lens consists of only 2 elements, one of which is made of calcium fluorite that allows an optimal correction of chromatic aberration. The FS 128 has an opening of 128mm with a focal length of 1040mm (effictively f:8.1). It is mounted on an equatorial mount (EM) that compensates for the Earth's rotation. But, with exposures of 1 to 5 seconds made possible by high ISO values, an EM is hardly necessary.
The Moon photo was made at 1/500 sec with ISO 400 and Manual Settings. The shutter was actuated with the 2 sec delay so as to minimize vibrations. I stacked 2 images, but the individual images were just as good. The most important thing is the possibility to focus precisely thanks to live-view at 10x. Very good photos can also be made with a long telephoto (> 300mm) and a steady tripod. Choose the diaphragm for which the lens performs best - and experiment with settings.
The Orion Nebula results surprised me by their quality... The K5 gives very clean images at high ISO without artefacts such as banding. You get something akin to "granularity" of high sensitivity film, which is statistical "noise". That can be reduced by stacking images. The noise is averaged out. The beauty of the electronic captors is their lack of "reciprocity failure" at low light levels, and the possibility of going to high ISO values with the newer devices. The Orion photo was taken under very "bad" conditions: my balcony with suburban light-pollution, bright moonlight, and Orion was also fairly low on the horizon. The exposures were just 5 sec long at ISO 12800. Here too, live-view is essential for precise focussing.
The original exposures are quite "grainy". But the stacked image (I used the JPG images for the test - the raw images would be better) is much less noisy. I then used "auto tone" in photoshop to clean up the "fog" in the image and deepened the black tones with "selective color" under Mode> Adjustments. Finally, I applied Topaz Denoise with the "moderate" adjustment.
For stacking images, there is an excellent freeware program called "RegiStax" at:
http://www.astronomie.be/registax/
Its use is intuitive and it is useful - not only in astrophotography - for reducing noise and enhancing detail.