In these discussions, it is important to remember that the manuscript's manufacture is dated 1405-1438.
So, to start at the beginning - the first astronomer to classify stars in terms of magnitude was Hipparchus, not Claudius Ptolemy.
Without returning to the primary sources, here's a nice brief modern summary:
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So, in theory at least, stars' being ordered in terms of magnitude - and that magnitude expressed by number of points for a star - is a practice we might attribute to no later than the last decades of the second century BC., since Hipparchus' dates are c.190-120 BC.
This doesn't mean that Hipparchus was the first person ever to depict stars that way: just the earliest mathematical astronomer to employ the scheme of classification by relative magnitude.
It is also worth mentioning that the Arabic star-names weren't the first, nor the only names given stars. Nor were the Romans'. There is no guarantee at all that these two vocabularies - best known in the Latin world - are those which inform the labels on the Voynich star-maps.
On the brighter side, such a way of depicting sun and moon is attested (as I've shown) in fourteenth and fifteenth-century works produced by chart-makers of the western Mediterranean.
For more details on that last point, it's probably easiest to give a link to the second in a series of posts that I published in March last year because there the explanation comes with comparative material, bibliog. references, cross-reference to other folios and so forth:
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Marco Ponzi did some good work a while ago on the Catalan sphere. I expect that's still visible at Stephen Bax' site where, again, efforts were made to attach the 'Arab' star names consistently to the Voynich labels.
but to get back to the idea of depicting magnitudes by numbers of points.
It is important in discussing this to keep three things in mind:
1. the difference between apparent and absolute magnitude.
2. the state of knowledge in wherever-it-was the Vms' images were first enunciated at the time they were first enunciated - quite a big question-mark when the last two remain unknown and more often presumed than investigated.
3. the difference between a technical diagram, a schematic drawing and a work of art.
While it doesn't seem unreasonable to suppose these two Voynich diagrams fall somewhere between the first and the second class of diagram, I have to say that a very great deal of rubbish has been written about imagery in this manuscript from a prevalent but ill-thought-out assumption that the manuscript's drawings were
aiming at exact literalness, representation exactly to relative scale and at being a 'scientific' product. The primary evidence hardly offers support for any one of those contentions, and few have paused to consider and contextualise the reason for that, let alone to explain just what 'scientific' is supposed to mean - and where - before 1440.
As it happens, for these two diagrams, I'd agree that their style of drawing is so closely met by that of chartmakers working in part of the western Mediterranean during the fourteenth- and early fifteenth-centuries that these two were very likely intending to represent apparent relative magnitude, but I would be inclined to believe their informing texts were made centuries earlier - which means that positions for the stars are likely to be 'out' - and all the more so because there is obviously no intention at absolute relative size, or precise relative position.
I'd suggest the best place to start researching this would be the oldest known globes, and then the later astrolabes, before considering modern sky-charts.
NAMES: Ptolemy, of course, had never heard of the 'Arab' star-names, any more than had Hipparchus. Even when one investigates - as I did, of course - the range of variants in name, and in orthography .. even within Latin Europe... to 1440, that variety is so great that not even the collations by e.g. Hinkley-Allen or Paul Kunitzsch) get them all.
In fact, I think we'd be extremely lucky to find the Vms diagrams have 'standard' names or standard forms for those names. And this even if the intention had been to inscribe 'Arab' star-names. Has anyone looked into other thirteenth and fourteenth century terms - say, Mongol, or native Egyptian or even the names given by minorities in Latin Europe? (In another post, while looking into this, I quoted some forms in which star-names occur in a couple of the Latins' mercantile and naval texts).
Note - I have put 'Arab' in quotes because some of these 'Arabic' star-names are simply translations of the Romans' descriptive terms, or translations or transliterations from Greek, and even from Syriac (e.g. al Gabbar) and in one case from some extremely ancient contact with southern India, for the Arabs used a word for the Pleiades as a lunar mansion ('Thurayya') which originates in ancient Tamil, though so long part of the Arabs' vocabulary that a folk etymology was created for it.
As ever, a good, solid, conservative place to begin this sort of work is Emilie Savage-Smith's Study of Islamicate celestial globes
Hope this helps.