Short Version:
My calculations indicate that there should between 717.6 to 721.1 stardate units (SU) in the Bajoran year. It is also possible that the length of the Bajoran year should have an even narrower possible range, from 717.1 to 719.9375 stardate unites (SU).
Long version:
If there is a constant unchanging relationship between TNG era stardate units and the rate at which time passes on a planet, it should be possible to calculate the length of the year of a planet in stardate units (SU), if ther eis enough information given.
Assuming that there X number of stardate units always equals Y number of years on a planet, it is theoretically possible to calculated the length of a planet's year in TNG era SU.
Of course this calculation depends on the Bajran Gratitude Festival always happening on the same date each Bajoran year, being a fixed holiday like Christmas instead of a moveable holiday like Easter. It also assumes that the Bajor calendar year is always about the same length, instead of sometimes being a lot longer than other times, like lunisolar calendars on Earth that add a leap month every few years.
Part One: The Bajoran Gratitude Festival & Maximum Possible Length of Bajoran Year..
"Fascination" has no stardate, but immediately follos "Defiant" which begins on stardate 48437.3 and is immediately followed by "Past tense Part 1" with a beginning stardate of 48481.2 and should happen on a stardate between those two.
"Fascination" happens during the Bajoran Gratitude Festival:
http://www.chakoteya.net/DS9/456.htm
If the first time Jadzia helped set up the Renewal scrolls was exactly two years earlier, Jadzia and Kira should have come to DS9 longer than exactly two years ago. It is possible they set up the decorations for the first time off screen sometime during "Emissary", but that would still have to be after Dax arrives at the station in"Emissary":
http://www.chakoteya.net/DS9/401.htm
48481.2 minus 46390.1 equals 2091.1. Divided by two that makes the maximum length of the Bajoran year 1,045.55 SU.
Part Two: The Bajoran Gratitude Festival From "The Nagus" to "Fascination".
However, there probably wasn't a Gratitude Festival during "Emissary", since a Gratitude Festival happens in "The Nagus".
http://www.chakoteya.net/DS9/411.htm
There is no stardate in "The Nagus" , but if it happens sometime during the first season and thus after stardate 46393.1, the latest stardate in "Emissary" and before, the earliest stardate in the 2nd season, 47182.1 in "Invasive Proceedures" , there should be about 1,285.2 to 2,088.1 SU in the interval, making a Bajoran year equal to 642.6 to 1,044.05 SU.
Part Three: The Bajoran Gratitude Festival From "Fascination" to "Tears of the Prophets".
In "Tears of the Prophets":
http://www.chakoteya.net/DS9/550.htm
So it seems like another Gratitude Festival has just ended.
"Tears of the Prophets" has no stardate, but the episode before it, "The Sound of her Voice" has stardate 51948.3, and "Shadows and Symbols" two episodes later has stardate 52152.6. Stardate 51948.3 minus 48481.2 is 3,467.1 SU. Stardate 52152.6 minus 48467.3 is 3,685.3 SU.
3,467.1 to 3,685.3 divided by 3 is 1,155.7 to 1,228.4333.
3,467.1 to 3,685.3 dvided by 4 is 866.775 to 921.325 SU.;
3,467.1 to 3,685.3 divided by 5 is 693.42 to 737.06 SU.
3,467.1 to 3,685.3 divided by 6 is 577.85 to 614.2166 SU.
Part Four: The Bajoran Gratitude Festival From "The Nagus" to "Tears of the Prophets".
Since "The Nagus" should be two years before "Fascination", "Tears of the Prophets" should be about 5 to 8 years before "The Nagus".
There should be abou 4,766.2 to 5759.5 SU between "The Nagus" and "Tears of the Prophets".
4766.2 to 5759.5 divided by 4 is 1,191.55 to 1,439.879 SU.
4766.2 to 5759.5 divided by 5 is 956.24 to 1,151.9 SU.
4766.2 to 5759.5 divided by 6 is 794.3666 to 959.91666 SU.
4766.2 to 5759.5 divided by 7 is 680.88571 to 822.78571 SU.
4766.2 to 5759.5 divided by 8 is 595.775 to 719.9375
4766.2 to 5759.5 divided by 9 is 529.5777 to 639.94444 SU.
Part Five: The Anniversary of the Emissaary"
In 'Starship Down":
and:
http://www.chakoteya.net/DS9/479.htm
Obviously the arrival of the Emissary happened during the episode "Emissary", sometime between the earliest stardate 46379.1 and the latest stardate, 46393.1, in that episode.
So there should be about 2,2870.4 to 2,884.4 SU in a period which should be evenly divided into an unspecifie number of Bajoran years (unless the Bajorans have given up using Bajoran years, of course).
2,2870.4 to 2,884.4 SU divided by 2 equals.1,435.2 to 1,442.2 SU.
2,2870.4 to 2,884.4 SU divided by 3 equals 956.8 to 961.46666 SU.
2,2870.4 to 2,884.4 SU divided by 4 equals 717.6 to 721.1 SU.
2,2870.4 to 2,884.4 SU divided by 5 equals 574.08 to 576.88 SU.
2,2870.4 to 2,884.4 SU divided by 6 equals 478.4 to 480.7333 SU.
2,2870.4 to 2,884.4 SU divided by 7 equals 410.05714 to 412.05714
2,2870.4 to 2,884.4 SU divided by 8 equals 358.8 to 360.55.
This calulation produces much narrower ranges tha others.
Part Six: Conclusion.
574.08 to 576.88 SU is consistent with 529.5777 to 639.94444 SU calculated from "The Nagus" to "Tears of the Prophets".
574.08 to 576.88 SU is also consistent withand with 577.85 to 614.2166 SU calculated from "Fascination" to "Tears of the Prophets".
717.6 to 721.1 SU is consistent with 595.775 to 719.9375 calculated from "The Nagus" to "Tears of the Prophets",
717.6 to 721.1 SU is also consistent with with 680.88571 to 822.78571 SU calculated from "The Nagus" to "Tears of the Prophets".
717.6 to 721.1 SU is also consistent with 693.42 to 737.06 SU calculated from "Fascination" to "Tears of the Prophets"
956.8 to 961.46666 SU is consistent with 794.3666 to 959.91666 SU calculated from "The Nagus" to "Tears of the Prophets",
956.8 to 961.46666 SU is also consistent with with 956.24 to 1,151.9 SU.calculated from "The Nagus" to "Tears of the Prophets", but not with any range calculated from "Fascination" to "Tears of the Prophets".
1,435.2 to 1,442.2 SU is not consistent with the maximum possible length of the Bajoran year calculated from "Emissary" or "The Nagus" to "Fascination".
Since "The Nagus" to "Fascinaton" also establishes tihe minimum possible length of the Bajoran year as 642.6, a range of 574.08 to 576.88 SU also seems to be eliminated, thus leaving 717.6 to 721.1 SU as the possible range for the bajoran Year.
In my following calculations I assume that the Bajoran year is between717.6 and 721.1 stardate units (SU) long, though there is a chance that the possible length range could be even narrower, from 717.6 to 719.9375 stardate units (SU)
Calculating from stardate 49263.5 in "Starship Down", the previous anniversaries of the coming of the Emissary were:
in 48542.4 to 48545.9,
in 47821.3 to 47828.3
in 47100.2 to 47110.3,
And the previous one was "Emissary" when the Emissary arrived.
Calculating from "Fascination" sometime between stardates 48437.3 and 48481.2, the previous Bajoran Gratitude festivals were:
in 47716.2 to 17763.6
and in 46995.1 to 47146.0, the one during "the Nagus".
Calculating from "Fascination" sometime between stardates 48437.3 and 48481.2, the following Bajoran Gratitude fstivals were:
between 49154.9 and 49202.3
between 49872.5 and 49923.4
between 50590.1 and 50644.5
between 51307.7 and 51365.6
and between 52025.3 and 52086.7.
This last one between 52025.3 and 52086.7 is during the period between 51948.3 and 52152.6, and thus in the possible range for "Tears of the Prophets".
The next Bajoran Gratitude festival would be held sometime between stardates 52742.4 and 52807.8, which should be sometime after the highest DS9 stardate I could dig up today, 52576.2 in "Penumbra". Thus it is uncertain whether that festival happened before or after the last DS9 episode "What You Leave Behind".
Anyway, these are my calculations about the possible length of the Bajoran year in Stardate Units (SU).
My calculations indicate that there should between 717.6 to 721.1 stardate units (SU) in the Bajoran year. It is also possible that the length of the Bajoran year should have an even narrower possible range, from 717.1 to 719.9375 stardate unites (SU).
Long version:
If there is a constant unchanging relationship between TNG era stardate units and the rate at which time passes on a planet, it should be possible to calculate the length of the year of a planet in stardate units (SU), if ther eis enough information given.
Assuming that there X number of stardate units always equals Y number of years on a planet, it is theoretically possible to calculated the length of a planet's year in TNG era SU.
Of course this calculation depends on the Bajran Gratitude Festival always happening on the same date each Bajoran year, being a fixed holiday like Christmas instead of a moveable holiday like Easter. It also assumes that the Bajor calendar year is always about the same length, instead of sometimes being a lot longer than other times, like lunisolar calendars on Earth that add a leap month every few years.
Part One: The Bajoran Gratitude Festival & Maximum Possible Length of Bajoran Year..
"Fascination" has no stardate, but immediately follos "Defiant" which begins on stardate 48437.3 and is immediately followed by "Past tense Part 1" with a beginning stardate of 48481.2 and should happen on a stardate between those two.
"Fascination" happens during the Bajoran Gratitude Festival:
KIRA: But I have to set up the Renewal scrolls along the Promenade. But it won't take long. Jadzia's promised to help me.
BAREIL: Jadzia, of course. I've never understood how the two of you could be such good friends. She's so unpredictable and you're so
KIRA: Predictable?
BAREIL: I didn't mean it like that. It's just that she gets to spend so much more time with you than I do.
KIRA: Jadzia and I have been doing this for the past two years. It's becoming a tradition.
http://www.chakoteya.net/DS9/456.htm
If the first time Jadzia helped set up the Renewal scrolls was exactly two years earlier, Jadzia and Kira should have come to DS9 longer than exactly two years ago. It is possible they set up the decorations for the first time off screen sometime during "Emissary", but that would still have to be after Dax arrives at the station in"Emissary":
Station log. Stardate 46390.1. The Enterprise has been ordered to the Lapolis system. They're scheduled to depart at zero-five hundred hours after offloading three runabout class vessels. Meanwhile, our medical and science officers are arriving, and I'm looking forward to a reunion with a very old friend.
http://www.chakoteya.net/DS9/401.htm
48481.2 minus 46390.1 equals 2091.1. Divided by two that makes the maximum length of the Bajoran year 1,045.55 SU.
Part Two: The Bajoran Gratitude Festival From "The Nagus" to "Fascination".
However, there probably wasn't a Gratitude Festival during "Emissary", since a Gratitude Festival happens in "The Nagus".
SISKO: The two of us are going to Bajor for the start of the Gratitude Festival.
JAKE: What's the Gratitude Festival?
SISKO: It's the biggest Bajoran holiday of the year. Major Kira says it's pretty spectacular. And I figured, while we were on the surface, we could visit those fire caverns you've been wanting to see.
JAKE: Sounds great. When do we leave?
SISKO: This afternoon, right after school.
JAKE: For how long?
SISKO: Three days.
JAKE: Three days!
http://www.chakoteya.net/DS9/411.htm
There is no stardate in "The Nagus" , but if it happens sometime during the first season and thus after stardate 46393.1, the latest stardate in "Emissary" and before, the earliest stardate in the 2nd season, 47182.1 in "Invasive Proceedures" , there should be about 1,285.2 to 2,088.1 SU in the interval, making a Bajoran year equal to 642.6 to 1,044.05 SU.
Part Three: The Bajoran Gratitude Festival From "Fascination" to "Tears of the Prophets".
In "Tears of the Prophets":
SAHGI: (little girl) Peldor joi, Emissary.
SISKO: Peldor joi to you, too. Well, it looks like the festival was a big success.
KIRA: Oh, everyone seemed to enjoy it. Thank you, Captain.
SISKO: For what?
KIRA: For insisting that the festival take place in spite of the fact that we're in the middle of a war.
SISKO: War or no war, we have a lot to be grateful for, and we must remember that.
http://www.chakoteya.net/DS9/550.htm
So it seems like another Gratitude Festival has just ended.
"Tears of the Prophets" has no stardate, but the episode before it, "The Sound of her Voice" has stardate 51948.3, and "Shadows and Symbols" two episodes later has stardate 52152.6. Stardate 51948.3 minus 48481.2 is 3,467.1 SU. Stardate 52152.6 minus 48467.3 is 3,685.3 SU.
3,467.1 to 3,685.3 divided by 3 is 1,155.7 to 1,228.4333.
3,467.1 to 3,685.3 dvided by 4 is 866.775 to 921.325 SU.;
3,467.1 to 3,685.3 divided by 5 is 693.42 to 737.06 SU.
3,467.1 to 3,685.3 divided by 6 is 577.85 to 614.2166 SU.
Part Four: The Bajoran Gratitude Festival From "The Nagus" to "Tears of the Prophets".
Since "The Nagus" should be two years before "Fascination", "Tears of the Prophets" should be about 5 to 8 years before "The Nagus".
There should be abou 4,766.2 to 5759.5 SU between "The Nagus" and "Tears of the Prophets".
4766.2 to 5759.5 divided by 4 is 1,191.55 to 1,439.879 SU.
4766.2 to 5759.5 divided by 5 is 956.24 to 1,151.9 SU.
4766.2 to 5759.5 divided by 6 is 794.3666 to 959.91666 SU.
4766.2 to 5759.5 divided by 7 is 680.88571 to 822.78571 SU.
4766.2 to 5759.5 divided by 8 is 595.775 to 719.9375
4766.2 to 5759.5 divided by 9 is 529.5777 to 639.94444 SU.
Part Five: The Anniversary of the Emissaary"
In 'Starship Down":
Captain's log, stardate 49263.5. At the request of the Karemma Commerce Ministry, we've brought the Defiant to a remote system in the Gamma Quadrant to discuss problems that have surfaced regarding our recent trade agreement.
and:
KIRA: I'm fasting. Today is Ha'mara.
DAX: Ha'mara?
KIRA: It's the anniversary of the Emissary's arrival. We fast to show our gratitude to the Prophets for sending him to us. Last night, there was a Festival of Lights in the Capital.
http://www.chakoteya.net/DS9/479.htm
Obviously the arrival of the Emissary happened during the episode "Emissary", sometime between the earliest stardate 46379.1 and the latest stardate, 46393.1, in that episode.
So there should be about 2,2870.4 to 2,884.4 SU in a period which should be evenly divided into an unspecifie number of Bajoran years (unless the Bajorans have given up using Bajoran years, of course).
2,2870.4 to 2,884.4 SU divided by 2 equals.1,435.2 to 1,442.2 SU.
2,2870.4 to 2,884.4 SU divided by 3 equals 956.8 to 961.46666 SU.
2,2870.4 to 2,884.4 SU divided by 4 equals 717.6 to 721.1 SU.
2,2870.4 to 2,884.4 SU divided by 5 equals 574.08 to 576.88 SU.
2,2870.4 to 2,884.4 SU divided by 6 equals 478.4 to 480.7333 SU.
2,2870.4 to 2,884.4 SU divided by 7 equals 410.05714 to 412.05714
2,2870.4 to 2,884.4 SU divided by 8 equals 358.8 to 360.55.
This calulation produces much narrower ranges tha others.
Part Six: Conclusion.
574.08 to 576.88 SU is consistent with 529.5777 to 639.94444 SU calculated from "The Nagus" to "Tears of the Prophets".
574.08 to 576.88 SU is also consistent withand with 577.85 to 614.2166 SU calculated from "Fascination" to "Tears of the Prophets".
717.6 to 721.1 SU is consistent with 595.775 to 719.9375 calculated from "The Nagus" to "Tears of the Prophets",
717.6 to 721.1 SU is also consistent with with 680.88571 to 822.78571 SU calculated from "The Nagus" to "Tears of the Prophets".
717.6 to 721.1 SU is also consistent with 693.42 to 737.06 SU calculated from "Fascination" to "Tears of the Prophets"
956.8 to 961.46666 SU is consistent with 794.3666 to 959.91666 SU calculated from "The Nagus" to "Tears of the Prophets",
956.8 to 961.46666 SU is also consistent with with 956.24 to 1,151.9 SU.calculated from "The Nagus" to "Tears of the Prophets", but not with any range calculated from "Fascination" to "Tears of the Prophets".
1,435.2 to 1,442.2 SU is not consistent with the maximum possible length of the Bajoran year calculated from "Emissary" or "The Nagus" to "Fascination".
Since "The Nagus" to "Fascinaton" also establishes tihe minimum possible length of the Bajoran year as 642.6, a range of 574.08 to 576.88 SU also seems to be eliminated, thus leaving 717.6 to 721.1 SU as the possible range for the bajoran Year.
In my following calculations I assume that the Bajoran year is between717.6 and 721.1 stardate units (SU) long, though there is a chance that the possible length range could be even narrower, from 717.6 to 719.9375 stardate units (SU)
Calculating from stardate 49263.5 in "Starship Down", the previous anniversaries of the coming of the Emissary were:
in 48542.4 to 48545.9,
in 47821.3 to 47828.3
in 47100.2 to 47110.3,
And the previous one was "Emissary" when the Emissary arrived.
Calculating from "Fascination" sometime between stardates 48437.3 and 48481.2, the previous Bajoran Gratitude festivals were:
in 47716.2 to 17763.6
and in 46995.1 to 47146.0, the one during "the Nagus".
Calculating from "Fascination" sometime between stardates 48437.3 and 48481.2, the following Bajoran Gratitude fstivals were:
between 49154.9 and 49202.3
between 49872.5 and 49923.4
between 50590.1 and 50644.5
between 51307.7 and 51365.6
and between 52025.3 and 52086.7.
This last one between 52025.3 and 52086.7 is during the period between 51948.3 and 52152.6, and thus in the possible range for "Tears of the Prophets".
The next Bajoran Gratitude festival would be held sometime between stardates 52742.4 and 52807.8, which should be sometime after the highest DS9 stardate I could dig up today, 52576.2 in "Penumbra". Thus it is uncertain whether that festival happened before or after the last DS9 episode "What You Leave Behind".
Anyway, these are my calculations about the possible length of the Bajoran year in Stardate Units (SU).
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