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Vidyarambha is a Vedic ritual for starting formal education of the child. It is usually performed after Akshararambha when child is comfortable with alphabets and basic math. Vidyarambha is education which is started with keeping future livelihood of child on mind. Following considerations should be looked into while choosing an auspicious time for Vidyarambha.
SwatiSwatiSwati
AnuradhaAnuradha
ShravanaShravanaShravanaShravana, 
DhanishthaDhanishthaDhanishtha
Mrigashirsha
Ashlesha
HastaHasta
ChitraChitra
Shatabhisha, 
P BhadrapadaP BhadrapadaP BhadrapadaP Bhadrapada, 
U Bhadrapada
AshwiniAshwiniAshwiniMrigashirshaMrigashirsha, 
ArdraArdra
P Phalguni
U PhalguniU PhalguniChitra, SwatiSwatiSwatiSwati
U AshadhaU AshadhaShravanaU Bhadrapada
RohiniRohiniAshleshaAshleshaAshleshaAshleshaAshleshaSwatiSwatiAnuradhaAnuradhaAnuradhaAnuradhaAshleshaAshleshaAshleshaP PhalguniU PhalguniU PhalguniMrigashirshaMrigashirshaMrigashirsha
PushyaPushyaPushyaPushyaU PhalguniU PhalguniChitraChitraU AshadhaDhanishthaDhanishthaAshleshaAshleshaP PhalguniSwatiAnuradhaAnuradhaNotes: All timings are represented in 12-hour notation in local time of Ashburn, United States with DST adjustment (if applicable).
Hours which are past midnight are suffixed with next day date. In Panchang day starts and ends with sunrise.
Nakshatra: All fixed Nakshatra i.e. Rohini (4), Uttara Phalguni (12), Uttara Ashadha (21), Uttara Bhadrapada (26), all movable Nakshatra i.e. Swati (15), Punarvasu (7), Shravana (22), Dhanishtha (23), Shatabhisha (24), all gentle and friendly Nakshatra i.e. Mrigashirsha (5), Revati (27), Chitra (14), Anuradha (17) and all short Nakshatra i.e. Hasta (13), Ashwini (1), Pushya (8) and others i.e. Ashlesha (9), Mula (19), Ardra (6), Purva Phalguni (11), Purva Ashadha (20) and Purva Bhadrapada (25) are auspicious for Vidyarambha.
Tithi: Dwitiya (2), Tritiya (3), Panchami (5), Shashthi (6), Dashami (10), Ekadashi (11), Dwadashi (12) of both Shukla and Krishna Paksha are considered auspicious for Vidyarambha. Tithi during Shukla Paksha are preferred over Krishna Paksha.
Days: Except Monday, Tuesday and Saturday, all other weekdays are considered good for Vidyarambha.
Lagna: All fixed Lagna i.e. Vrishabha (2), Simha (5), Vrishchika (8) and Kumbha (11) should be avoided as those are considered inauspicious for Vidyarambha.
Kundali: 8th House should be empty.
Chandra and Tara Shuddhi: Proper Chandra and Tara Shuddhi for child should be performed. If Budha is transiting favourably for the child, then it is considered very good for Vidyarambha.
