First off, the object is a star cluster. Its way way out there. So there's no rotation to worry about.

You are right about considerations for planet rotation.
There is a slight image alignment difference between each image that's unavoidable. So all the images have to be aligned though a process called image registration. Then you stack the images which is basically runs a pixel addition process on the images. A median combine is the best overall process to stack astronomical images. There are random cosmic ray hits that get eliminated this way. Sometimes I get satellites tracking through the field of view.

The median combine improves the data signal to noise ratio in the combined image.
A CCD camera integrates the incoming light, but there is read noise when the chip pixels are read. If the exposure is too long the pxels get saturated.

So the basic technique is to median combine multiple images.
The image files downloaded from the CCD Camera are in a Debayer color matrix format that cannot be aligned and combined directly. Image registration is at the subpixel level. This is over my head.
So I have to separate out the red, blue, and green color components of each image into there own separate sub file, so they can be aligned.
All the red image files are then stacked/median combined. Then the green, then blue. Any order.
I end up with three files (R, G, and B) saved in Fits format. These are actually 16 but grey scale image files for each color.
The NASA/ESA Fits Liberator plugin reads Fits files and provides lots of options for histogram stretching. This is very necessary to see all the detail in bright globular star cluster.
I could use the same programs that I use for image acquisition, registration, etc.. to create an RGB tiff file, but the Fits Liberator seems to do a better job.
I open Photoshop and create a new blank RGB image and bring in the red, green, and blue component images and copy and paste them into the R, B, and G channels.
Then process with Levels, Curves, photoshop tools to bring out the detail and suppress background noise.
Now this last part is why I am here on this site.
Everything up to this point is busy work requiring no special skills as that part of the process is very mechanical.
I think I am going to post a new thread about this because its probably off the jist of the newbie thread.
Thanks for the welcome.