Whether Shabbat depends on some form of sanctification by the Courts: Kiddushin 37b R' Yochanan ben Zakkai's edict that the witnesses should always go to a central location, regardless of where the Chief Justice is: Rosh HaShanah 31b How many judges are needed: Rosh HaShanah 25b [2x], Ketuvot 21b, Sanhedrin 2a
Moshe and Aharon acting as the first court for declaring the New Month: Rosh HaShanah 25b
The court's verdict stands, even in error, even intentionally in error: Rosh HaShanah 25a
The time of day when testimony is accepted: Beitzah 5a; Rosh HaShanah 30b R' Yochanan ben Zakkai's enactment of a time-limit for accepting testimony after the destruction of the Temple: Rosh HaShanah 30b
Accepting testimony on the New Month in Usha: Rosh HaShanah 22b
Witnesses
Whether there is a Mitzvah to set the calendar by witnesses of the Moon's phase: Rosh HaShanah 20a
We require two witnesses: Rosh HaShanah 22b
Testimony where the witness isn't known to the court: Rosh HaShanah 22a-b
Whether relatives may testify together: Rosh HaShanah 22a
Testimony of women: Rosh HaShanah 22a
Whether People who market produce of the Sabbatical Year may testify: Rosh HaShanah 22a
Testimony of Gamblers: Rosh HaShanah 22a
Testimony of People who lend money for Interest: Rosh HaShanah 22a
Testimony of avadim: Rosh HaShanah 22a
Testimony of people who attract birds away from others' coops: Rosh haShanah 22a
A Boethusian attempt to send false witnesses: Rosh Hashanah 22a, 22b
Where the court was alone when they saw the Moon themselves, during the day/night: Rosh HaShanah 25b
If the court was in a group of people who saw the Moon: Rosh HaShanah 25b
The Testimony
How the witnesses were examined: Rosh HaShanah 23b, 24a
How much the testimony of 2 witnesses may acceptably differ: Rosh HaShanah 24a
Testimony where the moon-view was obfuscated: Rosh HaShanah 24a
Where the moon was sighted, and then later it wasn't visible: Rosh HaShanah 24a
Examination of unnecessary witnesses: Rosh HaShanah 23b
For the Witnesses to Break Shabbat to Come Testify
Breaking Shabbat to come testify: Rosh HaShanah 19b-20a, 21b; Menachot 64a
Above, if the Moon was clearly visible in an area from which others will come: Shabbat 133b, Rosh HaShanah 21b, Menachot 64a
The witness is brought with whatever means necessary, even on Shabbat: Rosh HaShanah 22a
Shabbat is broken for a trip of up to one day and one night: Rosh HaShanah 22a
In the time of the Temple, they broke Shabbat to testify in order to correctly establish the additional offerings brought for the first of the Month: Rosh HaShanah 20a, 21b [2x]
After the Temple, there was still a need to break Shabbat in order to establish the month at a proper time and avoid a juxtaposition of Holidays and Shabbat in such a way as to cause problems in burying people or preserving food: Rosh HaShanah 20a
Breaking Shabbat to bring one witness: Rosh HaShanah 22b
"Beit Yazek," where the witnesses stayed if they arrived on Shabbat: Rosh HaShanah 23b
Months of 30 Days vs Months of 29 Days
The "secret of adding [to the calendar]": Rosh HaShanah 20b
Maximum number of months during the year which may have 29 and 30 days: Rosh HaShanah 6b
For an added month of Adar: Rosh HaShanah 19b-20a
Adding a day to Elul: Rosh HaShanah 19b, 32a
The Declaration/Sanctification of the Month
Declaring the Month as a Biblical Rite: Rosh HaShanah 24a; Ketuvot 21b
There is a declaration of the Year: Rosh HaShanah 8b, 24a
How the declaration is done: Beitzah 4b; Rosh HaShanah 24a
The problem of the Samaritan intervention: Beitzah 4b; Rosh HaShanah 22b
Which types of months are/aren't declared: Rosh HaShanah 8b, 24a
Declaring the month, if the last month had a 30th day added for a public need: Rosh HaShanah 20a
Declaration of Adar and the added Adar, in a year of both: Rosh HaShanah 19b
All are believed to say that the Court declared the new month: Rosh HaShanah 22b
What happens if the court received testimony before dark, but didn't have a chance to declare the New Month: Rosh HaShanah 24a, 25b
The Court's Power
The Heavenly Court awaits the calendaric verdict of the human court, in determing the day of Judgment for the world: Rosh HaShanah 8b
Whether the court may manipulate the Calendar for public need: Rosh HaShanah 20a; Succah 54b
Whether the court may manipulate the Calendar without public need: Rosh HaShanah 20a
Frightening the witnesses into lying, for regular months or for Tishrei and Nisan: Rosh HaShanah 20a-b
Adding a day to the month because of a public need [in terms of the weekdays when holidays will fall out]: Rosh HaShanah 19b
Manipulating the calenar to prevent Saturday-Night preparation of the Meal Preceding Yom Kippur: Ketuvot 5a