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Every Acharya Thirunakshatram of the Srirangam Srimad Andavan Ashramam this year, for your city
The Ashramam's own calendar follows the Vakya panchangam. Vakyam means "a sentence": the positions of the Sun, the Moon and the stars are worked out from short Sanskrit verses handed down over many centuries, not from a modern ephemeris.
This page uses Drishya Ganita, also called Thirukanita: the positions are calculated with modern astronomy, so that they agree with the sky. The two methods can place the start and end of a nakshatra a few hours apart, and the Sankramana, the moment the Sun enters the next rashi and the Tamil month begins, can differ too.
So now and then a Thirunakshatram here may fall a day before or after the date in the Ashramam's calendar. In every such case, please follow the Ashramam's calendar.
The Srirangam Srimad Andavan Ashramam is one of the great Sri Vaishnava Ashramams of the Vadakalai tradition, devoted for more than three centuries to the teachings of Sri Ramanuja and Swami Vedanta Desika. Its head is called the Andavan, a name the tradition holds was given by Lord Ranganatha Himself to the first Acharya.
The Ashramam follows the Munitraya Sampradaya, the line of the three Munis: Sri Nathamuni, Sri Yamunamuni and Sri Ramanuja. Thirukkudanthai Desikan (Sri Gopalarya Mahadesikan, born 1700) revived this tradition and was honoured as Munitraya Sampradaya Pravartakar. From him the line passes to the twelve Andavans, beginning with Srimad Vazhuthur Andavan. The present Andavan, the twelfth, is Srimad Andavan Srivaraha Mahadesikan, since 2018.
The Ashramam remembers each Acharya on his Thirunakshatram, the day of his birth star in the Tamil month of his birth. The list above gives every one of them this year for your city.
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