This page was last updated on 25 October, 2015.
Most objections have been discussed on the previous pages while discussing the Luni-
“Whenever (witnesses) must be on the road a day and a night, it will be lawful to violate the Sabbath to travel thereon, to give their evidence as to the appearance of the moon."
Babylonian Talmud, Section Moed, Rosh Hashana, Chapter I, Click
The earliest possible crescent to be sighted appears after the 29th which always is a Sabbath; and long before the next Sabbath. So the need of traveling on a Sabbath only shows they didn’t keep the Biblical Luni-
"The rabbis taught: One shall not send a letter by a Gentile on Friday unless he stipulated a certain sum for the delivery. If such a stipulation was not made, the Beth Shamai says it must not be delivered, unless the messenger has time to reach the house in which it is to be delivered (before sunset); the Beth Hillel, however, maintains: He may do it if the messenger has time to reach the house nearest to the wall of the city where the letter is to be delivered."
Babylonian Talmud, Section Moed, Shabbat, Chapter II, Click
This shows that at the time of writing the Talmud, and most importantly the Gemara (oral traditions) the error of sunset-
"Little is known of the procedure of determining the calendar up to the 2nd cent. C.E., when a description is given of the traditional practice, it ran as follows: On the thirtieth day of the month a council would meet to receive the testimony of witnesses that they had seen the new moon. If two trustworthy witnesses had made deposition to that effect on that day, the council proclaimed a new month to begin on that day… If no witnesses appeared, however, the new moon was considered as beginning on the day following the thirtieth."
Universal Jewish Encyclopedia, p.632