Origin of Years of the Planets
Posted: Sat May 30, 2015 9:42 pm
The Years of the Planets are a doctrine first seen in Valens which as the list was developed over time grew into four separate categories for each planet: lesser, middle, greater, and greatest years. The first three are used in natal longevity calculations and the latter to determine the length of dynasties and countries.
From what has been published regarding the lesser years, the years represent the least common multiple of two separate cycles with the Sun's 19 lesser years corresponding to the Metonic Cycle the most well known.
Middle years are the average of lesster and greater years with some variation for the Moon and Sun.
Greater years, at least for the five planets/wandering stars, correspond to the sum of each planets' egyptian bounds across all the signs but no rationale for the greater years has been given other than one by Valens which has not been mentioned by any other author.
Greatest Years for mundane purposes are also not as well worked out other than for the Sun's greatest 1461 years which is the least common multiple of years when measured in 365 days and 365.25 days. It is known as the Sothic cycle. The Moon's greatest 520 years I have no idea nor have I found any decent rationale for the Sun and Moon's 120 and 108 major years.
What I have learned is this: and forgive me if it has been already pointed out somewhere else (but surprisingly I can find no reference to it among astrological forums).
The Greatest Years of the Planets are Babylonian in origin, based on planetary periods discerned through observation, primarily from addition of smaller planetary periods which were used to write goal-year texts. Though the Babylonians did not construct nor consider the Greatest Years of the Planets necessarily as a least common multiple of two different cycles, effectively this is what these numbers represent
Saturn
256 synodic = 9 sidereal = 265 years
Jupiter
391 synodic = 36 sidereal = 427 years
Mars
133 synodic = 151 sidereal = 284 years
Venus
720 synodic = 1871 sidereal = 1151 years
Mercury
1453 synodic = 1914 sidereal = 461 years
Note that these solutions are not perfect integers to the nth decimal place, but they are reasonably close.
Mercury has the greatest variability of years because there are quite a few other solutions which include 46 and 480 years.
This material has been around for quite a long time (since Neugebauer in the 1950s) but unless if I am missing something here I have not seen the attribution of the Greatest Years of the Planets to these Babylonian planetary periods.
A couple of questions for the group.
1. The first time I have found the Greatest Years of the Planets to appear in the astrolgocial literature is with Rhetorius who is a late compiler. Why was this section of Babylonian astronomy neglected from the Greek tradition for so long? What I am wondering is if the Greatest Years of the Planets somehow were transmitted to India and then recycled back to late Roman Era when Rhetorius picked it up right before Mashallah and Abu Ma'shar picked it up in the early Arabic tradition.
2. I have found one instance of their actual usage by astrologers - I have seen reference to a source (not the original) of Abu Ma'shar linking Jupiter's 427 Greatest Years to the duration of the Sassanian Empire which was a fairly close match. Are there any other attested references by astrologers which link the Greatest Years of the Planets to actual durations of kingdoms?
3. Besides clueless on the Moon's 520 Greatest years (though note it is 2 * 260 which is one of the Mayan cycles), I am also having problems finding a source for the Sun and Moon's 120 and 108 major years. I have looked through the Indian yugas and can't find anything persuasive thorugh would welcome other observations. Also the 108 is 4 * 27 Nakshatras (but not obviously twenty eight). In fact after attending one of the popular '108 sun salute' yoga sessions often conducted during summer and winter solstices here in the states, I was given a handout with over 50 different uses and applications in answer to the question "why 108?" This again leads me to wonder if there is any Indian chronological influence on the years of the planets for the Sun and Moon in the western system. Within the western system, the only thing I found is the interval of 54 years, or half of 108, which is the Exeligmos eclipse cycle which was modeled within the Antikythera mechanism now dated c. 205b.c. by recent work on the Saros dial.
For those looking for references on the Babylonian Planetary Periods, here are four, the 2nd of which is a well written PhD thesis I would recommend as a good start. There is actually quite a bit of material available on this
http://www.jstor.org/stable/3143671?seq ... b_contents
http://etheses.dur.ac.uk/101/1/A_Study_ ... ronomy.pdf
http://www.academia.edu/2361085/Goal-Ye ... _Phenomena
http://www.maa.org/publications/maa-rev ... he-planets
Thanks for any ideas.
From what has been published regarding the lesser years, the years represent the least common multiple of two separate cycles with the Sun's 19 lesser years corresponding to the Metonic Cycle the most well known.
Middle years are the average of lesster and greater years with some variation for the Moon and Sun.
Greater years, at least for the five planets/wandering stars, correspond to the sum of each planets' egyptian bounds across all the signs but no rationale for the greater years has been given other than one by Valens which has not been mentioned by any other author.
Greatest Years for mundane purposes are also not as well worked out other than for the Sun's greatest 1461 years which is the least common multiple of years when measured in 365 days and 365.25 days. It is known as the Sothic cycle. The Moon's greatest 520 years I have no idea nor have I found any decent rationale for the Sun and Moon's 120 and 108 major years.
What I have learned is this: and forgive me if it has been already pointed out somewhere else (but surprisingly I can find no reference to it among astrological forums).
The Greatest Years of the Planets are Babylonian in origin, based on planetary periods discerned through observation, primarily from addition of smaller planetary periods which were used to write goal-year texts. Though the Babylonians did not construct nor consider the Greatest Years of the Planets necessarily as a least common multiple of two different cycles, effectively this is what these numbers represent
Saturn
256 synodic = 9 sidereal = 265 years
Jupiter
391 synodic = 36 sidereal = 427 years
Mars
133 synodic = 151 sidereal = 284 years
Venus
720 synodic = 1871 sidereal = 1151 years
Mercury
1453 synodic = 1914 sidereal = 461 years
Note that these solutions are not perfect integers to the nth decimal place, but they are reasonably close.
Mercury has the greatest variability of years because there are quite a few other solutions which include 46 and 480 years.
This material has been around for quite a long time (since Neugebauer in the 1950s) but unless if I am missing something here I have not seen the attribution of the Greatest Years of the Planets to these Babylonian planetary periods.
A couple of questions for the group.
1. The first time I have found the Greatest Years of the Planets to appear in the astrolgocial literature is with Rhetorius who is a late compiler. Why was this section of Babylonian astronomy neglected from the Greek tradition for so long? What I am wondering is if the Greatest Years of the Planets somehow were transmitted to India and then recycled back to late Roman Era when Rhetorius picked it up right before Mashallah and Abu Ma'shar picked it up in the early Arabic tradition.
2. I have found one instance of their actual usage by astrologers - I have seen reference to a source (not the original) of Abu Ma'shar linking Jupiter's 427 Greatest Years to the duration of the Sassanian Empire which was a fairly close match. Are there any other attested references by astrologers which link the Greatest Years of the Planets to actual durations of kingdoms?
3. Besides clueless on the Moon's 520 Greatest years (though note it is 2 * 260 which is one of the Mayan cycles), I am also having problems finding a source for the Sun and Moon's 120 and 108 major years. I have looked through the Indian yugas and can't find anything persuasive thorugh would welcome other observations. Also the 108 is 4 * 27 Nakshatras (but not obviously twenty eight). In fact after attending one of the popular '108 sun salute' yoga sessions often conducted during summer and winter solstices here in the states, I was given a handout with over 50 different uses and applications in answer to the question "why 108?" This again leads me to wonder if there is any Indian chronological influence on the years of the planets for the Sun and Moon in the western system. Within the western system, the only thing I found is the interval of 54 years, or half of 108, which is the Exeligmos eclipse cycle which was modeled within the Antikythera mechanism now dated c. 205b.c. by recent work on the Saros dial.
For those looking for references on the Babylonian Planetary Periods, here are four, the 2nd of which is a well written PhD thesis I would recommend as a good start. There is actually quite a bit of material available on this
http://www.jstor.org/stable/3143671?seq ... b_contents
http://etheses.dur.ac.uk/101/1/A_Study_ ... ronomy.pdf
http://www.academia.edu/2361085/Goal-Ye ... _Phenomena
http://www.maa.org/publications/maa-rev ... he-planets
Thanks for any ideas.