Submitted:
07 August 2025
Posted:
07 August 2025
Read the latest preprint version here
Abstract

Keywords:
1. Introduction: The Sun from an Ideal Disk to the First Telescopic Sights
2. The Representation of the Sun in Ancient Egypt
3. The Sun of Christianity
Laudato Si’ mi Signore per frate Sole
Lo quale è iorno et allumini noi per lui
Et ellu è bellu et radiante cum grande splendore
Di te porta significatione8
4. The Sun of Galileo and His Contemporaries: Planet or Star?
5. The Sun and the Jesuits
6. Naked Eye Sunspots Since the Middle Age
7. Naked Eye Sunspots in 2025: Experiencing the Eye Resolution
8. The Camera Obscura for Pinholes and Telescopes
9. The Sunspots in the Churches
10. Limb Darkening and Rotation: The Proofs of the Spherical Sun
11. The Moon Was Already Spherical and with Spots
12. Conclusions: The Right Instrument at the Right Moment
| 1 | Total Solar Eclipse 2009 image, Enewetak, Wide angle image of solar corona Authors: M. Durkmüller and P. Aniol. This eclipse was observed during the deepest solar minimum (720 days of blank Sun) occurred in 2009 – 2010. |
| 2 | [2] Photo made by the author at the 70/400 Solarmax Coronado H-alpha telescope of Asiago Astrophysical Observatory, Pennar Observing Station (ex- Schmidt dome); elaboration made by prof. Sabina Favore. |
| 3 | “According to Brewer (1991), it is not difficult to see the similarity between this image and that offered by the wings of the celestial god Behedety, spreading about the solar disc, one of the most frequent and undoubtedly most symbolically charged representations of the solar deity. Although quite speculative and impossible to prove, this hypothesis is quite suggestive.” Brian Brewer, Eclipses, Seattle, Wash. : Earth View, Souvenir ed., 2nd ed (1991). Quoted from (Belmonte and Lull 2023) pp. 517-518. |
| 4 | Uraeus Symbol - History And Meaning - Symbols Archive |
| 5 | (Belmonte and Lull 2023) page 195 fig. 4.2 from (Congdom 2000), Congdom L. O. (2000). A rare solar display depicted in the Tomb of Meryre at El Amarna. Amarna Letters, 4, 45–59. |
| 6 | The observing conditions at the level of the horizon, which in Egypt are usually poor owing to air-borne dust, could facilitate the observation of sunspots, especially when they were large during solar maximum, the atmosphere acted as a filter for their observation. In fact, it seems that it was the morning mist conditions in some valleys of ancient China that facilitated the first observations of sunspots with the naked eye that appear to be found in the 9th–8th century BC (referenced in the Chou Í or book of Changes of Zhou, a divinatory and oracular text). However, no Egyptian documents are known where these observations can be verified. (Belmonte and Lull 2023) p. 194-195. |
| 7 |
https://www.corpus.cam.ac.uk/articles/eagles-and-sun-medieval-bestiary-0 (visited 31 Juky 2025) Aquila dicitur ab acumine oculorum: the Eagle is known for the acuteness of sight, in the medieval tradition (Isidore of Sevilla, VII century AD). |
| 8 | Blessed be, Oh Lord for brother Sun/ which is the day and You illuminate us by him / and it is nice and radiant with great splendor / of You it brings signification |
| 9 | [9] E.g. in St. Francis of Paula. https://www.christianiconography.info/francisDiPaola.html
|
| 10 | E.g. in the tumb of the Pope Benedict XIV in St. Peter’s, a woman with a gilded Sun on the breast, St Peter's - Monument to Benedict XIV. |
| 11 | Original image reported in this website (wikipedia, visited 27 July 2025). |
| 12 |
http://www.solareclipses.pl/index2.php?Id=catalogue&Century=14 Bologna, 1 January 1386, In that year [1386], on the first day of January. […] and then there was an eclipse of the sun in such a way that one had to lit candles during meals in whole Bologna; http://www.solareclipses.pl/Sources/1386/1386_I_1_Bologna_1.pdf The second eclipse, 12 february 1431, was after the invention of the solar logo with YHS/HIS: http://www.solareclipses.pl/Sources/1431/1431_II_12_Foligno.pdf
|
| 13 | St. Bernardine of Siena - Saints & Angels - Catholic Online Painter: Benvenuto di Giovanni (this image was made in Siena in 1475) The acronym’s spelling become as today IHS, from YHS. |
| 14 | Coat of arms of Franciscus - Francisco (papa) - Wikipedia, la enciclopedia libre |
| 15 | Planet in Greek means “moving star”, that’s why the moving planets around the Sun were called “stars”. Also the Earth orbiting around the Sun become technically a star, and this was the debate of the times. |
| 16 | Jean Tarde - Wikipedia |
| 17 | Diagram of Sunspots from Borbonia Sidera - Jean Tarde - Wikipedia |
| 18 | Giordano Bruno - ORDINE DEI PREDICATORI |
| 19 | Chris Impey and P. Grey, E. Brogt, A. Baleisis on Teach Astronomy - Measuring Star Distances (consulted 12/5/2025) From the Earth to the stars in 1668 AD – e=mc2andallthat (consulted 12/5/2025) relying on M. Hoskin (1977). |
| 20 |
https://physicsteacher.blog/wp-content/uploads/2023/03/image-9.png (consulted 12/5/2025). |
| 21 | To a point very close to it. |
| 22 | MG XV Rome 2018 HR 2 Angelo Secchi and Astrophysics |
| 23 | Musei Vaticani Catalogo Online : Inventario : Sportello di finestra proveniente dall'appartamento del card. Zelad... [MV.44213.0.0] |
| 24 | John Dollond - Wikipedia |
| 25 | A. Secchi (manuscript dated 1870) Il Sole, Firenze (posthume edition 1884) reproduced in Gerbertus20.pdf p. 127-128. |
| 26 | A. Secchi expressed a judgment on this drawing in the text (c. 1870) Su di un antico disegno del sole dato dal P. Kircher: it belongs to the book of Kircher, Mundus Subterraneus (Amsterdam, 1665) p. 64. According to his deep experience in solar spectroscopy Secchi notes that the Sun is “devised” by Kircher and not “observed”as it is written in the title of that gravure. https://gate.unigre.it/mediawiki/index.php/Page:Su_di_un_antico_disegno_del_sole_dato_dal_P._Kircher.pdf/1 and https://gate.unigre.it/mediawiki/index.php/Page:Su_di_un_antico_disegno_del_sole_dato_dal_P._Kircher.pdf/2
|
| 27 | (Einhard 817) https://thelatinlibrary.com/ein.html#32 Chapter 32 et in sole macula quaedam atri coloris septem dierum spatio visa (transl. And in the sun, a certain spot of black color was seen over the course of seven days.) written circa 817-836 AD. |
| 1 | This episode was already quoted by Galileo (1613) in his first work dedicated to the sunspots. |
| 1 |
Nam et stella Mercurii XVI. Kal. Aprilis visa est in sole quasi parva macula, nigra tamen [“tamen” missing in MSS group E], paululum superius medio [D3, E: media] centro eiusdem sideris [B5, C3, E3, E6, E7: syderis], quae a nobis octo dies conspicitur. Sed quando primum intravit vel exivit, nubibus impedientibus [B1, B4, C1, D3: imped.]https://journals.sagepub.com/doi/10.1177/00218286241238731#fn5 translation: For on the 16th day before the Kalends of April, the star Mercury was seen in the sun as a small spot, black however, slightly above the middle of the center of that same star, which is visible to us for eight days. But when it first entered or exited, it was obscured by clouds.
|
| 1 | Galileo, Istoria e dimostrazioni sopra le macchie solari (1613), at the exhibit La Città del Sole, 16 nov 2023- 11 feb 2024, Palazzo Barberini, Roma. https://barberinicorsini.org/evento/la-citta-del-sole-arte-barocca-e-pensiero-scientifico-nella-roma-di-urbano-viii/ The three letters of Galileo, combined in the Istoria are here https://it.wikisource.org/wiki/Le_opere_di_Galileo_Galilei_-_Vol._V/Delle_macchie_solari/Istoria_e_dimostrazioni_intorno_alle_macchie_solari with all sunspots drawings. |
| 31 | With 1250 MH – Millionths of solar Hemisphere at maximum extent it ranges just out the list of the 25 largest sunspots appeared since 1996 https://www.spaceweatherlive.com/en/solar-activity/top-25-sunspot-regions.html . A list encompassing the maximum solar activity in the XX century is this https://solarwww.mtk.nao.ac.jp/en/bigspots.html (1892-2014). I have observed with naked eye also the sunspot AR 3780 in August 2024 https://www.spaceweatherlive.com/en/solar-activity/region/13780.html and AR 3784 https://spaceweather.com/images2024/12aug24/hmi1898.gif with 700 MH which realized a pair with AR3780 recalling the pair drawn by Jonh of Worcester on 8 December 1128, https://en.wikipedia.org/wiki/Sunspot_drawing. https://youtu.be/VHl1yX5aoMk (13 August 2024) AR 3848 https://www.spaceweatherlive.com/en/solar-activity/region/13848.html on 5 October 2024 https://youtube.com/shorts/AIDz9npxPy8 reached 980 MH and it was visible to the naked eye, with a mylar screen. |
| 32 | This has been verified observing the Sun with the spot AR4079 with a pinhole + filter (10-4 transmittance) with the right eye and the sky backround aournd the Sun without filters with the left eye: the darkened part of the filtered Sun was as luminous as the sky background. |
| 33 | AR 4079 https://www.spaceweatherlive.com/en/solar-activity/region/14079.html was seen with naked eye until 9 may 2025, and the days of visibility are 9 over 15, from 28 April to 12 May.[33] The same active region, after a whole solar rotation, at the beginning of June 2025 catalogued as AR4100, was less compact, with a smaller umbra, and it was no more visible to the naked eye. The same active region come again visible as AR 4100 on May 25 at the limb, and on May 27 it was already visible to a small pinhole camera (knowing that it was there) but never to the naked eye. https://www.spaceweatherlive.com/en/solar-activity/region/14100.html had its largest area of 440 MH with umbral dimension < 1’. Another relevant sunspot is the bigger one of AR 4087, 270 MH on May 16. The diameter of the umbra was 13”, while the penumbra get 36”. It is just below the limit of visibility with naked eye. https://www.spaceweatherlive.com/en/solar-activity/region/14087.html The distance from the limb on 16 May 2025 would have been enough to be visible to the naked eye, if larger. If the spot would have to be discovered, it should have been more evident. The umbra AR 4079 was 75” nearly 6 times larger than AR 4087, that permitted its observation with naked eye, in limiting conditions. |
| 34 | This idea was given to me by Leopold Halpern (1925-2006) in 2000. |
| 35 | Archivio dell’Opera del Duomo di Firenze. Quaderno Cassa, serie VIII-I-61, anno 1475, carta 2v MCCCCLXXV. Spese d’Opera: E adì detto [16 agosto, n.d.a.] lire cinque soldi quindici dati a Bartolomeo di Fruosino orafo, sono per il primo modello di bronzo di libbre 23 once 4, fatto per Lui a istanza di maestro Paolo Medicho per mettere in sulla lanterna, per mettere da lato di drento di chiesa per vedere il sole a certi dì dell’anno. Lire 5 soldi 15. Source: Lo Gnomone del Duomo di Firenze | Renzo Baldini (Baldini 2005) |
| 36 | Another confirmation comes from the sunspots on 30 May 2025, AR 4100 and AR 4099, both with umbrae of 20” and visible at 2.5 m of distance through the shades producing accidental pinholes. The best pinhole produces the fainter circular image. The accidental pinholes created by the leaves of a plane tree (Platanus Occidentalis) did not work for seeing the spots (figure 15). The experience leading to the 2002 article on American Journal of Physics (77) were made with different pinholes and with plane mirrors, without glass coating, to send the solar image at distances up to 20 m, with the vision of the sunspots. The experiences with pinholes presented here are intentionally less elaborated, to simulate the conditions for the discovery of sunspots by chance. |
| 37 | The intensity of the umbra of AR4079 (6 May) is 10/200, the penumbra is 120/200; 200 is the intensity of the photosphere around the spot in ADU, Analogue-Digital Units. The photographic camera used here is the XiaoMi-11, it doesn’t have an exceptional resolution but it reproduces well the eye’s logarithmic response to intensity. |
| 38 | The luminosity of the faculae versus the unperturbed surrounding photosphere is 185/155 in ADU. This is a good indication of the contrast observable with the naked eye in the camera obscura. |
| 39 | The limb darkening function ranges from 30 ADU (limb) to 190 ADU (inner part) and it is photographed from 1 m of distance. |
| 40 | The optical quality of the telescope is superior with respect to 1630, so we can indee see the details more easily. The doublet was not yet invented (by J. Dollond in 1758). To futher enhance the view I added a green photographic filter (wide band) before the objective lens. |
| 41 | R is from Rudolph Wolf and it is R=10G+N, with G the number of sunspots’ groups and N the number of sunspots. |
| 42 | This is an average over several observers, certified at SILSO, https://www.sidc.be/SILSO/datafiles
|
| 43 | The estimated value is given by squaring the ratio of the objective’s diameter to the image’s diameter (6/105)2=3.3·103
|
| 44 | I have seen clearly a bird fliyng on the line of sight, across the Sun, until it was a solar radius outside the photosphere, even if the solar limb appeared sharp. There is a remaining luminosity of the background below 29 ADU (there is a non linear correspondance with real intensity). |
| 45 | It is due to the absorption of photons by hydrogen atoms partially ionized in the solar atmosphere, Donald H. Menzel, Our Sun (Harvard, 1949), chapter 7, p. 205 in the Italian Edition Il Nostro Sole (Faenza, 1981). |
| 46 | This study has been conducted on C-class and M-class flares, in particular M3 on 26 May and M9 on 25 May 2025 erupted from AR 4098 and M1.4 on 26 May from AR 4100, the same spot as AR4079 after half a solar rotation in the solar far side. In the aforementioned flares of May there was not an optical counterpart visible in the camera obscura projection. The visible counterpart was seen with the M1.44 flare of 3 June 2025 13:03Z, observed clearly at M1 phase in Camera Obscura (fig. 18). The transient remained visibile for 10 minutes, among the two spots of AR 4105, then fading to the normal facular level; the bright facula is visible also in the satellite SDO images of 13:00Z (M1.32), and faded at 16:30Z (C1.16). |
| 47 | In figure 14 the sunspot’s umbra is 10 ADU over 200 ADU of the solar photosphere around it. |
| 48 | [48] This flare was visible in Camera Obscura as the brightest facula over one month of observations (May 2025) and its fading was also visible. https://youtube.com/shorts/zE76313vktU (Hα, 2 minutes after the X-ray peak) and https://youtu.be/yji21KUFwi8 (green filter wide band 23 minutes after the X-rays peak). Another example is the C2.2 flare at the solar limb on AR 4167 https://youtube.com/shorts/rts2mFntmX0?feature=share on 6 August 2025 at 14:25Z. |
| 49 | The possibility to see the sunspots with a lensless pinhole, started my interest in the meridian line of St. Maria degli Angeli in September 1999. The sunspot AR 8692 [https://www.spaceweatherlive.com/it/attivita-solare/regione/8692.html ] was there and it was possible to detect it as an enhancement of penumbra in the image projected on a white paper. At that time the pinhole was of irregular shape, about 4 cm x 2 cm. The image of the Sun was 30 cm x 20 cm, so the pinhole dimension was about 3’ wide, while the sunspot was only 25” wide at its maximum. To have a clear visibility of the sunspot its angular width should be comparable with the angular width of the pinhole at the position of the image. |
| 50 |
https://youtu.be/71J4ZWpZflw video recorded on the meridian line for the AR 4168, with 250 MH on 6 August 2025 https://www.spaceweatherlive.com/it/attivita-solare/regione/14168.html
|
| 51 |
https://youtube.com/shorts/sb7nn_QSE-g video recorded on 18 June 2025 with the AR 4114 (360 MH) and AR 4115 (110MH)https://www.spaceweatherlive.com/it/attivita-solare/regione/14114.html https://www.spaceweatherlive.com/it/attivita-solare/regione/14115.html
|
| 52 | In the case represented in figure 18 all parameters are known, and D¤=198.7 mm, d=25 mm, and the measured image is 225.6 mm wide. The difference between D and D¤ is 26.9 mm, just 1.9 mm more than the pinhole dimension. The solar effect is unnoticeable at this level of accuracy |
| 53 | E. g.: Mare Crysium, visible in fig. 20 at mid left, near the Western lunar limb, has a relative intensity (ADU) of 130/180 with respect to the lunar Terrae, brighter, around it. The limb is generally brighter than all Terrae. The distance between the Mare Crysium to limb is around 2’. The Moon and the Sun have approximately the same angular diameter, and the longitude of the center of Mare Crysium is 59° W. This feature is the smaller visible with the naked eye, using the pinhole and the grey Moon filter at 13% of transmission, to avoid to be bleached by the luminosity of the Moon, better to do in twilight with the sky still blue: it is at the limit of the resolving power of the eye, as the greatest sunspots that should be within ±60° of longitude from the central meridian (section 7.). Mare Crysium was reported also in the map of William Gilbert (1601), and named Britannia (figure. 21). |
| 54 | Moon map by William Gilbert, 1603 - Stock Image - C052/7224 - Science Photo Library |
| 55 | Dante’s Paradiso – Canto 2 - Dante's Divine Comedy |
| 56 | The sunspot AR 4100, already mentioned in the previous notes, at the third rotation has lost the large umbra, which is visible to the naked eye or through a pinhole, and splitted into a complex region with prevalence of penumbra, which is much less visible without a telescope. |
| 57 | (Galison 1997), quoted in (Dyson 2012). |
| 58 | CACCINI, Tommaso in "Dizionario Biografico" e (Ricci-Riccardi 1902). |
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| Meridian line / date | Pinhole diameter/height | Visibility of the sunspots |
| S. Maria del Fiore (1475) | 50/90000 = 1/1800 | Yes, only in June-July |
| St. Petronio (Danti, 1577) | Not known | Probably Yes |
| Torre dei Venti (1580) | 14/5180 = 1/370 | Yes (>30” or 400 MH) |
| St. Petronio (Cassini, 1655) | 27/27000 = 1/1000 | Yes |
| St. Maria degli Angeli (1999) | 40/20353 = 1/500 | Yes (>25” or 300 MH) |
| St. Maria degli Angeli (2002) | 10-23/20353 = 1-2.3/2000 | Yes |
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