First, you need to determine what type of astrophotography you're going to use a lens for. Astrophotography basically falls into three ranges; wide field, narrow field, and planetary. The last usually incorporates an actual telescope because it uses high power (large focal lengths) to shoot very narrow field shots of planets, close star groups, etc., and probably isn't what your after based on your inquiry.
That leaves the first two. 135mm lenses more often fall into the second category where you're trying to shoot nebulae, star clusters, and narrower field (though not very-narrow field) objects. 135mm is good for two reasons, they take in a fair amount of sky and can be had in low f-stop versions for not that much money. Having a lower f-stop is advantageous because of the need for light gathering in shooting dim sky objects using practical exposure times and ISO values. A 135mm may not be the best choice, however (read on).
A lot of the shots you see today, are of the wide-field type and show a vast section of the night sky. These are the first type I mentioned previously. They require short focal length lenses (mostly below 35mm) and many astrophotographers use ultra-wide lenses for this type of astrophotography. Again, you can probably find a low-f-stop, wide angle lens but you might have to pay more for it. IRIX wide field lenses are good choices for these wide-field types, though there are many others which can work well.
Anyway, it's better to start with an idea of what type of shots you're after rather than pick a given focal length and then try to make it fit something it may not be suited for.
In most all cases, you should probably stop the lens down a bit from its widest opening in order to gain sharpness. All lenses are a little "soft" at their widest opening (unless they are a fixed opening lens like a telescope, and then they are designed for best performance "wide open"). Picking a lens offering a low f-stop to begin with, gives you more room to do this (e.g., f1.4 becomes f2.8 instead of f4 becoming f5.6).
Take a look at some astro shots and see which ones you like best, and then try to identify a lens that will do the job in terms of its
angular coverage considering what camera you're using (APS-C, Full Frame, etc). That will lead you to the best focal length to consider. Then you can see what's available and visit some reviews to see what is sharpest for what you can afford. Don't pass by the used market. There are some great opportunities there for obtaining a good astro lens.
You didn't mention how you're planning to track the stars and this is a whole subject unto itself. DSLRs can make short non-guided shots possible (using higher ISOs), but that rapidly proves more difficult as the focal length is increased. 135mm is definitely into the "iffy" range where you start having a need for guiding the camera to follow the stars for longer exposure times. A lot of (though not all) wide field shots can be made without guiding. Just something else to consider.
Last edited by Bob 256; 05-08-2021 at 09:11 AM.