Παρασκευή, 15 Ιανουαρίου 2016

A NEW ASTRONOMICAL DATING OF ODYSSEUS’ RETURN TO ITHACA ... by Panagiotis Mitropetros !


Panagiortis  Mitropetros , the  great  scientist , a huge  Greek  personality 

Mediterranean Arhaeology and Archaeometry, Vol. 12, No 1, pp.117-128
Copyright © 2012 MAA Printed in Greece. All rights reserved.

A NEW ASTRONOMICAL DATING OF ODYSSEUS’
RETURN TO ITHACA
St. P. Papamarinopoulos1, P. Preka-Papadema2, P. Antonopoulos3*, H. Mitropetrou1, A.Tsironi1 and P. Mitropetros2
1 University of Patras, Department of Geology, 26504 Rio Patras, Greece
2 University of Athens, Department of Astrophysics, Astronomy and Mechanism, Faculty of Physics, 15784 Athens, Greece
3 University of Patras, Department of Physics, 26504 Rio Patras, Greece

Received: 31/10/2011 Accepted: 02/12/2012
Corresponding author: antonopoulos.pan@gmail.com

ABSTRACT
The annular solar eclipse, of 30 October 1207 B.C. (Julian Day-JD 1280869), calculated by NASA together with the analysis of the weather’s and the environment’s description (long nights, plants, animals and peoples’ habits) and the astronomical data (guiding con-stellations and Venus in the east horizon) mentioned by Homer in the epic, constitute an autumn return of Odysseus to Ithaca five days before the above characterized day. The latter offers a precise astronomical dating of the event and dates the legendary Trojan War’s end as well.
A NEW ASTRONOMICAL DATING OF ODYSSEUS’
RETURN TO ITHACA
St. P. Papamarinopoulos1, P. Preka-Papadema2, P. Antonopoulos3*, H. Mitropetrou1, A.Tsironi1 and P. Mitropetros2
1 University of Patras, Department of Geology, 26504 Rio Patras, Greece
2 University of Athens, Department of Astrophysics, Astronomy and Mechanism, Faculty of Physics, 15784 Athens, Greece
3 University of Patras, Department of Physics, 26504 Rio Patras, Greece
Corresponding author: antonopoulos.pan@gmail.com
Received: 31/10/2011 Accepted: 02/12/2012
KEYWORDS: Homer’s Odyssey, Theoclymenus’ prophecy, solar eclipse, guiding constel-lations, Venus

INTRODUCTION
In ancient Greece it was known what a genuine myth meant. For instance,
Ploutarchus (Fragmenta 157) says the fol-lowing: “The old physical science for both, the Greeks and the Barbarians is natural logos (logos in antiquity meant fact) hidden deeply within myths”. Much earlier than
Plutarchus, Plato, in the 4th century B.C., defined Science in Phaedrus (277.b.5-277.c.3) and mythology in Timaeus and Critias (110.a.2-110.a.4). Plato himself knew the difference between genuine and fabri-cated myth. He wrote it in Timaeus and Critias (26.e.4-26.e.5) and in Republic (Resp.377.b.6-377.b.6) respectively. Plato in the Republic (Resp., 379.a.1) says that “it is appropriate for the founders to know the patterns on which the poets must base their stories and from which they must not deviate”. This phrase means that in antiquity some of the poets were deviating, from time to time, from the recorded tradition which passed orally to them, and they had to be told.

Homer is not different in this context. This means that some of his passages might not be but mere fantasies. However, Kraft et al (2003) offered compliments to Homer saying characteristically the following. “The reality of Homer’s description of place, event, and topography correlated with geologic inves-tigation helps show that the Iliad is not legend but regularly consistent with palaeogeographic reconstructions.” Kraft et al (2003) does not understand the subtle difference between legend and fabricated myth from the stand point of ancient Greek authors and for this reason he calls it legend. The correct word would be paramyth meaning fabricated myth. Moreover, in the volume “Science and Technology in Homeric Epics” (2008) there are numerous papers in which Homer has been tested, with the principles of science, repeat-edly and found correct.
Also, a number of authors have consid-ered different astronomical aspects, facts and allusions in the Homeric Epics (Theo-
dosiou et al. 2011). However, ancient re-searcher Heraclitus of Pontus (Allegories, 75, 1, 1-9, 3) had long recognized and ex-plained the passage Od.20.356-357 as a solar eclipse. He was the first to suggest that the Odyssey person, called Theoclymenus, de-scribed an incoming solar eclipse to suitors, hours before its occurrence and before their death.
One of us, Papamarinopoulos (2008) and two other authors Baikouzis & Magnasco (2008) independently to each other, had proposed the 16th of April of 1178 yr B.C. (JD 1291264) as the day Odysseus returned to Ithaca. All the three, mentioned above, have interpreted Homer’s passage
Od.20.356-357: and the sun has perished out of heaven and an evil mist covers all, as a spring`s total eclipse event. They based their inter-pretation on NASA/Espenak and other studies respectively. However, all the three, authors had ignored other significant diag-nostic information mentioned by Homer.
Before we focus in the Odyssey`s pas-sages we studied initially what the ancient Greek authors, archeologists and historians had said about the dating of the Trojan War’s end because we intended to connect it with Odysseus` return since Homer says that Odysseus returned 10 years after the Trojan War’s end (e.g. Od.5.106-108, Od.2.174-176). Table 1 and Table 2 tabulate main opinions respectively. We even took into consideration the ancient Greek textual and pictorial mythological sources which mentioned two successive Trojan Wars con-ducted by Achaeans against Troy (Kakridis 1986). The second, from the Trojan Wars, was the legendary War mentioned by Homer in which Ajax and his companions fought. The first was realized, a generation earlier from the second, in which Ajax’s fa-ther participated. The heroes of the two wars are presented in the temple of the Athena’s Aphaea temple in Aegina Island. We note that Hiller (see Table 2) proposed two Trojan Wars coinciding with the Greek’s mythological tradition.
118 ST. P. PAPAMARINOPOULOS et al
Although Homer is not a historian, like Thucydides for instance, we took the liberty to examine specific Homeric passages in order to extract possible testable informa-tion in connection with Odysseus’ return in Ithaca.

APPROACH AND METHODOLOGY
2.1 Searching for the Homeric solar eclipse Homer describes a palace scene, during noon in which δείπνον, dinner is offered. In thatthe suitors, disguised Odysseus, his son Telemachus, and Theoclymenus are all to-
A NEW ASTRONOMICAL DATING OF ODYSSEUS’ RETURN TO ITHACA 119
Author’s name Years B.C
Douris of Samos (Stromateis,1,21,138,1,1-139,5,5) 1454 or 1514* Cleitarchus of Alexandria (Stromateis,1,21,138,1,1-139,5,5) 1274 or 1334*
Timaeus of Tauromenium (Stromateis,1,21,138,1,1-139,5,5) 1274 or 1334*
Eratosthenes of Alexandria (Stromateis,1,21,138,1,1-139,5,5) 1184 or 1228 or 1288*
Ephorus of Cymaeus (Stromateis,1,21,138,1,1-139,5,5) 1189 or 1249*
Phanias of Eresus (Stromateis,1,21,138,1,1-139,5,5) 1169 or 1229*
Herodotus of Halicarnassus (Histories, 2, 145, 16-17) about 1250
Dicaearchus of Sicily (Scholia vetera in Apollonii Rhodii
Argonautica, 278,11-12, Fragment 58 a 4-5) 1212
Parian Chronicle (paragraph 24) 1208
Sosibius of Lacon (De die nat. , c. 21) 1171
*Clemens of Alexandria in his text, Stromateis, (1,21,138,1,1-139,5,5): The two different numbers do not signify two different Trojan Wars but only one. They are composed by three ‘time’ components. The coming of Heracleids, the commencing of the Olympiads and Alexander’s the Great coming to Troad. For the first there are two opinions. For the second there are three different opinions and for the third there is one historic opinion. The Eratosthenes dating of 1184 is composed entirely different from the others dating and presents a seeming contradicting opinion of the other ones.
TABLE 1. Trojan War’s dating in accordance to the ancient Greek authors
Author’s name Layer* Years B.C.
Dorpfeld W. (Zengel 1990) Troy VI ca 1250 but afterKadesh’s battle.
Blegen C. (Zengel 1990) Troy VIIa 1270-1240 Mylonas G. (1964) Troy VIIa ca 1200 Desborough V. R. d’A (1966) Troy VIIa 1250-1230
Nylander C. (1963) Troy VI Not historic Trojan War. Finley M. et al. (1964) - Not historic Trojan War.
Wood M. (1998) Troy VI 1260-1250
Hiller S. (1991) Troy VIh In the middle of the 13th century
Troy VIIa End of the 13th /start of 12th century
Hood S. (1998) Troy VII b2 10th century
Mountzoy P. (1999a) - ca 1300 for VIh
Mountzoy P. (1999b) - ca 1210 for VIIa Korfmann M. (2004) Troy VI/VIIa 1200- 1180**
* The layers in Latin numbers illustrate the archaeologists’ stratigraphic differences in dating Homeric Troy.
** He proposes, the ratio VI/VIIa as being the Troy`s catastrophe layer VI. He does that by equating VIIa=VIi (Korfmann 2004b).

TABLE 2. Archaeologists’ and historians’ references on the Homeric Troy.
gether. Then, Theoclymenus predicts the suitors’ death and the sun’s eclipse saying, for the latter, the following: the sun has per-ished out of heaven and an evil mist hovers over all, (Od.20.356-357). As the suitors heard what Theoclymenus said, they called him mad, because there was still some day light which they could see it themselves (Od.20.360-362). The suitors mocked the seer because they were incapacitated by drunkenness and confusion because they did not realize the eclipses’ beginning.
Homer, further, describes a next palace scene. The suitors have eaten already their dinner, the hours passed, and they were in late noon time before the supper δόρπον was offered(Od.21, 269-427). We notice that the suitors have not started this supper, be-cause Homer says very clearly, in the fol-lowing passage, that the supper is not ready. It is under preparation (Od.21.428-429): But now is time that supper to be made ready for the Achaeans, while yet there is light, after thatmust other entertain-ment be made with song and with the lyre. At that moment Odysseus takes the bow and shots an arrow to a specific target. Then, the killing of the suitors, starts exactly as in the previous passage is indicated (Od.20.390-394): For they had made their din-ner in the heart, for they had slain many beasts. But no supper could be more grace-less than the one a goddess and strong man were soon to set before them. It is defined in Od.21.428-429 with the words εν φάει which means day light.It is also defined that supper is prepared. The latter is understood from the word τετυκέσθαιwhich means to be prepared. Then the suitors’ killing occurs at late noon and before evening, exactly after Odysseus’ first successful shot (Od.21.409).
Taking into account all the information mentioned above we concentrate our atten-tion to the correct solar eclipse associated with Odysseus’ return as it was observed in the Ionian Islands during 1300-1130 yr B.C. time span. Although the two Tables 1 and 2 define a period between 1514-1171yr B.C.
we choose to begin from 1300 yr B.C. be-cause in this latter period the Achaeans had reached the maximum political, economic and military organization and there were capable to organize a 1200 ships naval power (Iliad.2. 494-762 and Iliad.2.816-877) ready to act away from Greece in Troy. We also extend it by 41 years until 1130 yr B.C. in order to include the Achaeans’ Palaces ruling system destruction. From Xavier Ju-bier’s website “Five Millennium (-1999 to +3000) Canon of Solar Eclipses Database” (http://xjubier.free.fr/en/site_pages/solar_ecl ipses/5MCSE/xSE_2_Five_Millennium_Can on.html) based on Espenak & Meeus (2006), we found 64 solar eclipses (Total or Annular or Hybrid or Partial) which could be visible from the Ionian Islands region during 1300-1130 yr B.C. The NASA’s list is based on models VSOP87D for the calculation of the position of Sun and ELP-2000/82 for the cal-culation of the position of Moon (Espenak & Meeus 2006 & 2009c)

However, in the Odyssey there are re-markable seasonal observations about
Ithaca:
a) Climate: (Od.5, 467-469)-Frost and fresh dew in the night and breeze blowing cold in the morning. (Od.14.518-522)-Bed near the fire, and covering Odysseus’ body with skins of sheep and goats and a great thick cloak due to the terrible cold storm. (Od.14.529-533)-Eumaeus, put about him a cloak, very thick …and picked up the fleece of a large, well-fatted goat. (Od.14.457-458)-..rained the whole night through. …and rainy strong West Wind blew. (Od.17.23-25)-…I have warmed myself at the fire… .the morning frost. (Od.17.190-191)-…colder evening…
b) Trees and Plants: (Od.13.196)-luxuriant trees. (Od.14.353)-…thicket of leafy wood… (Od.24.221)-near to the fruitful vineyard…(
Od.24.234)-..tall pear tree. (Od.24.246-247)-
...fig tree, vine, olive, pear… (Od.24.340-344)-…pear-trees thirteen, ten apple and forty fig trees and fifty rows of vines and they yield grapes of every kind…
120 ST. P. PAPAMARINOPOULOS et al
c) Animals: (Od.14.410-414)-…..and the swine and the swineherds drew near…to sleep in their accustomed sties…(Od.17.170-171)-…the flocks came …from the fields…(
Od.15.397)-…and follow our masters swine.
d) Long lasting nights: (Od.15.391-394)-they are αθέσφατοι. The latter greek word means long lasting.
e) Peoples’ habits: (Od.17.96-97)-…lean-ing against a chair and spinning fine threads of yarn. (Od.18.315-316)-…and twist the yarn… (Od.24.226-227)…digging about a plant…
All the above mentioned information leads to an autumn period except those in connection with the luxuriant trees and the flocks which are outside from the sties. They latter fit both with spring and autumn too. It is noticeable in the following pas-sages, (Od.22.301)-…along in the season of spring, when the long days come and in Od.18.366-367-…in working in the season of spring, when the long days come…in relation with Od.15.391-394 - these nights are longer...(αθέσφατοι)that Homer defines the long days of spring very clearly. Moreover in Od.18.366-367, Homer explains why Odysseus, would prefer to fight with Eury-machus in the spring, because then he says the days are long, whereas at that situation, the fight with Eurymachus, the nights are long (Od.15.391-394) and consequently the days are short because it is autumn. Addi-tionally, in Od.11.187-194 is mentioned that Odysseus’ father, Laertis, stays in his vine-yard in the summer and in the autumn. In Od.24, Odysseus meets Laertis in that vine-yard only in the autumn in accordance with Homer’s astronomical references, (see below).
From the 64 solar eclipses (Total or Annu-lar or Hybrid or Partial) observed in Greece, in the Ionian Islands, within this pe-riod of 230 years, only 14 were visible within September, October and November. Homer in Od.14.161-162 and Od.19.306-307 specifically says that Odysseus will come in this very month here and further explains be-
tween the waning of this moon and the waxing of the next. Homer uses the word Λυκάβας. It is interpreted as the time period between old and new moon (Russo et al. 2002) and is derived from the proto-hellenic words Lyka+vanta (the light is gone). Homer also declares in Od.14.457-now the night came on, full and without a moon. The above men-tioned information (new moon) is a neces-sary condition during the course of a solar eclipse.
However, Homer sets two more addi-tional astronomical conditions connecting Odysseus’ return to Ithaca. The first is planet Venus, to be visible in the east, five days, before the eclipse, (Od.13.93-95). The second is, that the Pleiades (open cluster be-longing to the Taurus’ constellation), Boötes, Ursa Major and Orion were visible, all nights during his trip (Od.5.270-277). The latter re-quires the simultaneous Pleiades’ and Boötes’ presence in the night sky which oc-curs only in two periods during autumn and spring. However, the spring’s case is inval-idated in accordance with our arguments clearly mentioned above.
It is known that Venus is visible either in the east or in the west. In order to demon-strate if Venus is really in the east five days before the solar eclipse’s day we used the Starry Night 6 Pro Plus. The latter offers the position of the eight major planets within 5 arcseconds accuracy for a 3000 time span to the present. Similarly the moon`s position is accurate within 10 arcseconds for several thousand years in either direction. We used Ithaca’s coordinates (38° 22′ 0″ N, 20° 43′ 0″ E) as representative for all Ionian Islands. From this mentioned study, 5 from the 14 solar eclipses (Total or Annular or Hybrid or Partial) remain (Table 3) available for fur-ther analysis, because they satisfy the first Homeric condition. However, three of them (1298, 1252 and 1234 in years B.C.) are not practically visible. From the remaining two, the first which has occurred in 1143 yr B.C. is rejected since the Achaean’s Palaces eco-nomic .

A NEW ASTRONOMICAL DATING OF ODYSSEUS’ RETURN TO ITHACA 121
ready collapsed. The last remaining one, however, seems to satisfy both Homeric conditions and the Table’s 1 and 2 presented data. This is the annular solar eclipse of the 30th of October of 1207 yr B.C. (JD 1280869). It was visible in the Ionian Islands with 75% significant obscuration of the solar disc.
In order to calculate the Sun’s illumi-nance during the solar eclipse we used the equation (Eq. 1) proposed by Möllmann & Vollmer (2006):
L/Lmax=1-p (1)
L= the Sun’s illuminance during the solar eclipse
Lmax=the maximum of Sun’s illuminance p= the obscuration of the solar disk By setting p=0.75 in the equation 1 the Sun’s illuminance becomes 25% of its total value. The latter means significant reduc-tion of illuminance which is absolutely com-patible with Homer’s phrase (20.357) κακή αχλύς means evil mist.
The phenomenon started in local time
(LT) 14.30 (12.30 UT) and ended in 17.25 LT (15.25 UT) in the Ionian Islands. The maxi-mum, ¾ obscuration of the Sun, was ob-served in 16.00 LT (14.00 UT) in late noon and before supper`s preparation. In addi-tion, the Delta-T (ΔΤ) value of this eclipse is ∆T = 29136 sec (8.09 hours), with uncer-
tainty of ±1077 sec (17.95 min) on the deter-mined time and uncertainty of ±4.5° on the longitude of the determined path. It is cal-culated by taking into account the variation of the Earth’s rotation (Espenak & Meeus 2006 & 2009c), based on the work by Morri-son & Stephenson (2004). We note that Stephenson (1997) and his colleagues (Stephenson & Houlden 1986) were pio-neers in that kind of calculations.
The eclipse’s maximum time coincides with the suitor’s killing and it is ended just before the sunset because immediately after the killing, the servants came with torches and shed light (Od.22.497 and Od.23.290-293). In accordance to Starry Night calcula-tions, Homer’s description in the above mentioned passages fit with the sunset at 17.58 LT (15.58 UT) on the 30th of October 1207 yr B.C. (JD 1280869).
2.2 Analysis of the Homeric Astronomical References
Figures 1A and 1B illustrate the sky above the horizon in the Ionian Islands at 16.00 LT (14.00 UT) on the 30th of October
(JD 1280869) and at 06.05 LT (04.05 UT) on 25th of October of 1207 yr B.C. (JD 1280864) respectively using Starry night 6 Pro Plus. In Figure 1A, the solar eclipse is observed at 20ο altitude within the south-west horizon
122 ST. P. PAPAMARINOPOULOS et al
Date Start Middle Maximum End Venus rise** Sunrise**
(Years B.C.*) (LT) (LT) Obscuration (LT) (LT) (LT)
1298 Sep 17 13:38 14:01 0.82 % 14:23 4:30 6:04
1252 Sep 18 08:33 09:04 1.92 % 9:37 2:20 6:06
1234 Sep 30 18:06 under horizon --5:26 6:18
1207 Oct 30 14:31 (33ο) 16:03 (20ο) 74.70 % 17:23 (6ο) 5:13 6:50
1143 Nov 11 06:51 (-4ο) 07:58 (8ο) 51.50 % 9:11 6:06 7:04
*‘Τhe Julian calendar does not include the year 0, so the year 1 BCE is followed by the year 1 CE. …Years prior to the year 0 are represented by a negative sign. Historians should note that there is a difference of one year be-tween astronomical dates and BCE dates. Thus, the astronomical year 0 corresponds to 1 BCE.’ ( http://eclipse.gsfc.nasa.gov/SEhelp/calendar.html) **Rise time five days before the solar eclipse.
LT=Local Time, which is equal to Universal Time (UT)+2 hours
The degrees in parentheses are the altitude of the sun above (+) or below (-) the horizon.
TABLE 3. The five solar eclipses` characteristics.
in Scorpius constellation, near to Antares (Anti-Ares) which exhibits a red like blood color similar with that of red Ares (Mars). It is one of the brightness stars of the sky. All the known planets in prehistoric Aegean
Sea, except Saturn, are projected within 75ο angular distance, near to the solar eclipse. We note that the value of ΔT, which this program uses, is 29300 sec (8.14 hours). There is a slight difference of 164 sec (2.73
A NEW ASTRONOMICAL DATING OF ODYSSEUS’ RETURN TO ITHACA 123
Figure 2. (A) the sky above the horizon at Gibraltar’s Straits (36° 8′ 0″ N, 5° 21′ 0″ E) (20.00 LT or 18.00
UT) on 1st of October (JD 1280840) and (B) at Palermo (38° 7′ 0″ N, 13° 22′ 0″ E) (3.00 LT or 1.00 UT) on 19th of October of 1207 yr B.C. (JD 1280858) are shown respectively. The constellations, Ursa
Major, Taurus (open cluster of Pleiades), Boötes and Orion guided Odysseus during his voyage from west to east. They are observed all night in the latitudinal width of the Mediterranean Sea in-ternally and externally of it. Pleiades move east-west and Boötes north-west to north-east. Orion raises later than the others constellations.
Figure 1. (A) The sky above the horizon in the Ionian Islands (38° 22′ 0″ N, 20° 43′ 0″ E) at the maxi-mum phase (75%) of the solar eclipse (16.00 LT or 14.00 UT) on 30th of October of 1207 yr B.C. (JD 1280869) and (B) five days before this solar eclipse on 25th of October (JD 1280864) (6.05 LT or 4.05 UT) are shown. Planet Venus is observed eastward.
min) between this value and the one calcu-lated by Espenak & Meeus (2006 & 2009c). This slight difference does not have any sig-nificant effect in our results and the repre-sentation of the sky in our figures.
According to the Homeric text (Od.13.93-95) Odysseus arrived in Ithaca early in the morning five days before the suitors’ killing (Figure 1B). At that moment planet Venus observed in the eastern horizon within the Libra constellation (as Starry Night 6 Pro Plus shows). Both Venus and Sun rose at 05.13 and 06.50 LT (4.50 UT) respectively.
Venus with exceptional clarity (magnitude = -3.94) was for 1.5 hours before sunrise at an altitude of 18ο above the horizon. Saturn, which was known in the Aegean prehistoric period, is projected near to the Cancer con-stellation. The great planets Jupiter and Sat-urn projected in the Capricorn and the Cancerconstellations, in other words, in the constellations of the winter and summer solstices respectively.
Figure 2 is representative of the autumn’s night sky everywherewithin Mediterranean’s latitudes. We offer, to the reader, two exam-ples. Odysseus is already, en route,travelling west to east having to his left always Ursa Major. The mariner observes the latter and Pleiades and Boötes all night (between 19.30 and 05.30 LT or between 15.30 and 3.30 UT). Homer in Od.5.272-274 says: as he watched the Pleiades, and late-setting Boötes, and the bear, which men also call the Wain, which ever circles where it is and watches Orion” The Greek word δοκεύει is semantically stronger, than the English one watches. The Greek word contains the elements of anxi-ety and persistence of the animal which is waiting its hunter, Orion, to come. And in-deed this happens. Orion appearsat 22.30 LT (20.30 UT) two hours later after the previ-ously mentioned constellations (see Fig. 2).
Pleiades are moving from east to west all night while Boötes is in the north-west sky in its course to set. Homer uses the phrase οψέ δύοντα Βοώτην. It means literally that Boötes is temptingto set slowly but in reality
it doesn’t completely. In Fig. 3, different Boötes’ positions, during all night, are pre-sented.
Boötes’ two stars, β Bοötis (Nekkar) and γ Bοötis (Seginus) do not set at all! As Boötes approaches slowly its set, these two stars, remain above the horizon steadily. Then sequentially Boötes starts to rise again remaining all visible above the horizon in the north-east sky all night up to the sun-rise. Boötes dives in a setting mode initially in the north-west direction and then contin-ues emerging up moving in a north-east di-rection.

DISCUSSION AND CONCLUSIONS
In connection with Odysseus’ return to Ithaca, there are three scientific attempts for its astronomical dating, which are the fol-lowing: Schoch (1926), Papamarinopoulos (2008) and Baikouzis & Magnasco (2008). These authors propose the total solar eclipse of the 16thApril 1178 yr B.C. (JD 1291264) as the Homeric one without taking into ac-count of the Epic’s significant details in con-nection with the climate, the environment, the plants, the animals and the peoples’ habits, which were presented in our text above and strongly prove the autumn as the season of the Odysseus’s return to Ithaca. Also, Baikouzis & Magnasco (2008) suggest the 1st of April of 1178 yr B.C. (JD 1291249) as the vernal equinox then; but it is well known that after the vernal equinox the night gets shorter. The Homeric passage mentions the nights are, αθέσφατοι, in other words long lasting. Their conclusion is incompatible both with the Homeric text and with the astronomical references.
Furthermore, we have calculated the night’s length of Ithaca for both the two sug-gested dates:
On the 14th of April 1178 yr B.C. (JD 1291262) the night’s duration was about 11 hours (sunset 19.00 LT or 17.00 UT and sun-rise 06.14 LT or 4.14 UT). On the 30th of Oc-tober of 1207 B.C. (JD 1280869) the night’s
124 ST. P. PAPAMARINOPOULOS et al
duration was about 13 hours (sunset 17.58 LT or 15.58 UT and sunrise 06.57 LT or 4.57 UT). Our suggested date is absolutely com-patible both with the Homeric text and the astronomical knowledge for autumnal equi-nox which was on 4th October of 1207 yr B.C. (JD 1280843).
Also, Baikouzis & Magnasco (2008) write that ‘close to noon ….the total eclipse of the sun occurred at 12.02 p.m local time’. This is fully in-
compatible with the timing of the suitors’ killing. Theoclymenus made his statement about the suitors’ killing and the solar eclipse, during dinner (δείπνου is genitive in Greek) at noon, and then the suitors’ killing started, at late noon during supper’s (δόρπουis geni-tive in Greek) preparations, in accordance with the Homeric text. The suggested, by us, solar eclipse of 30th of October of 1207 B.C. observed at late noon, 16.00 LT (14.00 UT).
A NEW ASTRONOMICAL DATING OF ODYSSEUS’ RETURN TO ITHACA 125
Figure 3. The sky above the horizon at Palermo (38° 7′ 0″ N, 13° 22′ 0″ E) on the 10th of October of
1207 yr B.C. (JD 1280849) (A) at 19.00 LT (17.00 UT), (B) at 21.00 LT (19.00 UT), (C) at 23.00 LT (21.00 UT) and on the 11th of October of 1207 yr B.C. (JD 1280850) (D) at 1.00 LT (10th October 23.00 UT),
(E) at 3.00 LT (1.00 UT), (F) at 5.00 LT (3.00 UT), is shown respectively. ‘Late-setting Boötes’ is going toward its setting, but the two stars, β Bοötis (Nekkar) and γ Bοötis (Seginus), do not set at all!
Boötes starts to rise again remaining all visible above the horizon all night.
Both Homeric astronomical conditions (Venus and constellations) exist in both pro-posed scenaria. Homer describes four con-stellations as orientation guides during Odysseus’ return trip. However, in Baik-ouzis & Magnasco (2008) denote exactly the following: on 4th of April of 1178 yr B.C. (JD 1291252) was the heliacal setting of the Pleiades, the last night they were visible be-fore hiding for 40 days and hence Odysseus could not have followed Calypso’s direc-tives… This means that, a day, before Odysseus’ raft was sank in accordance to their calculations, Pleiades were not observ-able in the night sky. This is correct astro-nomically but it contradicts with the Homeric text.
Furthermore, they mentioned all three constellations Ursa Major, Boötes and Pleiades (Taurus), but they missed Orion.
But Homer specifically describes that Ursa
Major watches Orion. In other words Ursa
Major is waiting Orion’s coming. Indeed, Orion in the autumn is observed eastwards in the night sky about two hours later after the Pleiades’ rise. However, in the early spring, Pleiades are observed westwards and both Orion and Pleiades are simultane-ously visible in the night sky only for a few hours.
The co-existence of Boötes and Pleiades, in the night sky, occurs during the spring and autumn. Boötes, in the autumn, is in the westward while in the spring is in the east-ward horizon respectively. Baikouzis & Magnasco (2008) mentioned the Homeric phrase οψέ δύοντα and interpret it as fol-lows: ‘around March as the sun approaches these (Pleiades) set early while Boötes sets late; in September, it is Boötes that sets early while Pleiades set late’. In our text, earlier, we offered to the reader both the correct philological interpretation and the correct astronomical explanation of it as Fig.3 shows clearly. Boötes’ unique westward mo-tion is observed only in the autumn’s night sky, because then Boötes attempts to set, but it cannot set entirely moving always all night
from north-west to north-east. In the spring, Boötes certainly does exactly the same mo-tion westwards, but in the day lightand con-sequently cannot be observed.
Except from these two Homeric astro-nomical conditions, they suppose another one; a retrograde motion of the planet Mer-cury. However this motion occurs every 116 days (3 times per earth year). It is an ordi-nary phenomenon without any extreme condition which could be caused the in-formants’, of the poet, attention.
Finally, they propose a kind of relation be-tween the vernal equinox and Odysseus’s shipwreck. It is understandable that angry Poseidon, the god of the sea, is related with the shipwreck. However, if we wish to as-sociate an astronomical phenomenon with this shipwreck, the partial (50%) lunar eclipse of 15th of October 1207 yr B.C. (JD 1280854) observed westwards in Ionian Is-lands at 5.30 LT (3.30 UT) (Espenak & Meeus 2009a & 2009b) and everywhere within the Mediterranean’s latitudinal width, is the best idea. It is well known that this phenomenon assumed as a bad omen within the prehistoric and historic ancient world, see Arrian (Anabasis Alexandri3, 7, 6, 1-4), as an example.
In accordance with our hypothesis, we conclude that the annular solar eclipse of 30th of October of 1207 B.C. (JD 1280869) ob-served in the Ionian Islands with a signifi-cant obscuration 75% is the described phenomenon by Homer (Od.20. 356-357) re-lated with the Odysseus’s return to Ithaca because it fits with all seasonal, environ-mental and other astronomical data of the epic. Taking into account this dating, and Homer’s passages (e.g. Od5.106-108), the legendary Trojan War’s end can be dated as well.
We offer our proposal to the International Scientific Community. It might be useful for further future Homeric and Eastern Mediterranean archeological and archaeo-metric  studies.


ACKNOWLEDGMENTS
To Professor William Mullen for his sug-gestion, to us, to study the seasonal details in the Epic.
To Emeritus Professor George Korres for his useful input.
To postgraduate student Athanasios
Kouloumvakos for his assistance during the course of our work.
To the two anonymous reviewers for their, in depth, constructive criticism.
DEDICATION: This paper is devoted to the former Rector of the University of Patras Professor Kostas Goudas.
A NEW ASTRONOMICAL DATING OF ODYSSEUS’ RETURN TO ITHACA 127

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