Need help identifying an Omega product if you can

Hello, signed up simply to ask if anyone can recognize this watch, I've done fair amounts of google searches and haven't come up with much. The watch was my grandfathers and isn't in the greatest physical shape and only seems to work for about 12 hours before stopping. Apologies if this isn't the appropriate section or forum for such an inquiry. My camera died just before I could snap the back but it was a gold constellation center cap with a silver/stainless steel body.

Ok I'll let it charge and try again, I'm fairly awful at photographs so apologies for that. Thanks for the replies, it was sitting in some boxes in my moms basement for many years and was a rather surprising find since my grandfather was a barber which doesn't seem to line up with being a luxury brand watch owner, too bad everyone is gone that might know the story behind it. All the other ones I found online that look similar didn't have the calender or the numbers and I don't want to try opening it since I have none of the tools. Thanks again and I'll be back. *edit* Here is one I found that looked similar to my untrained eye with a similar looking band.

I somehow forgot about this so I finally took some better pictures, sorry about the dust and grime it would appear I am a pig for not trying to at least wipe it off.

Front:



Back:


I've no idea what the watch is, I took it to a gentleman local to Calgary called Swiss Watch Clinic and he seemed to think it was at the very least authentic but wasn't sure the model and figured it would cost $700.00 for a service. The only thing I came across that looked remotely similar was this Omega Constellation model 14747 but there are some obvious differences that even a know nothing like myself can spot, different 'furniture', the little knob on the side, mine says Swiss instead of Swiss Made and probably many more.

Is it worth pursuing? I'm not much of a jewelery guy anyway in the sense I've never worn it so I don't know what to say. Sure it might be cool to see brought back to life, I think it still holds time fairly well, I gave it enough movement to keep running for a week straight a week ago and it appeared to be losing about 2-3 seconds a day, I'm guessing that's not up to par with an actual enthusiast but I was pretty surprised all things considered. While watch collectors seem iffy on providing a value assessment, do you think it has any sale value and would fixing it increase that? Or do any people prefer the watch to be in the shape it's currently in. Thanks for the help.

I suppose I should expand on the whole price quote, it wasn't some kind of formal thorough examination but just an off the cuff estimate, I wouldn't be surprised if it ended up costing even more but he just gave a quick assessment. As for remembering my grand father he died before I was even born so I can't say it would do much to that end, I'm most curious identifying the model number but can see that would be next to impossible without having it taken apart.

Just not sure if I should put any cash into it since this isn't some kind of pulp fiction great grandads war watch smuggled through the vietnam war, if anything it was maybe won in a backdoor card game lol. Who knows I might get it assessed professionally at some point and taken apart to figure out what it is, from what I'm gathering its not particularly unique or valuable so it may very well go back into the box it came and sit for another couple decades. *edit* Forgot to thank you for your assistance, being uninitiated to any of this I'm still fairly baffled