{"id":"vidhyamitra:city-day:berlin:-3101-02-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/-3101-02-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3101-02-15","date_display":"February 15, 3102 BCE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3101,"month":2,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588462.770833,"kali_year":0,"ahargana":-2.7292,"sun":{"sidereal_longitude":359.6228,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":329.2046,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":329.5818,"elapsed_within_tithi_degrees":5.5818},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":329.2046,"elapsed_within_degrees":9.2046},"yoga":{"number":25,"name":"Brahma","sum_longitude":328.8275},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":-3101,"month":2,"day":15,"hour":6,"minute":30,"calendar":"julian"},"julian_day":588462.770833,"ahargana":-2.7292,"kali_year":0,"ayanamsa_lahiri":-47.4029,"grahas":{"sun":{"sidereal_longitude":359.6228,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":329.2046,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false,"latitude":2.3119},"mars":{"sidereal_longitude":3.3645,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":352.674,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":0.7957,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":357.705,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":352.3938,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":180.1446,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":0.1446,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3101,"month":2,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588462.770833,"kali_year":0,"ahargana":-2.7292,"sun":{"sidereal_longitude":359.6228,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":329.2046,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":329.5818,"elapsed_within_tithi_degrees":5.5818},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":329.2046,"elapsed_within_degrees":9.2046},"yoga":{"number":25,"name":"Brahma","sum_longitude":328.8275},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.312,"elongation":30.418},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.312,"opposition_distance":149.582}},"eclipse_window_40days":[{"offset_days":18,"type":"lunar","occurs":true,"moon_latitude":1.238,"opposition_distance":1.931}]},"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"tier2":{"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"sunriseLocal":"07:50","sunsetLocal":"16:52","solarNoonLocal":"12:21","dayLengthHours":9.047156857728162,"dayLengthDisplay":"9 Hours 02 Mins 50 Secs","nightLengthDisplay":"14 Hours 57 Mins 10 Secs","moonriseLocal":"06:28","moonsetLocal":"14:10","rahuKala":{"name":"Rāhu Kāla","start":"14:37","end":"15:45","startHours":14.610973565222041,"endHours":15.74186817243806,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:05","end":"11:13","startHours":10.08739513635796,"endHours":11.21828974357398,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:21","end":"13:29","startHours":12.34918435079,"endHours":13.480078958006022,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:56","end":"10:14","startHours":9.936609188729157,"endHours":10.238181083986763,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:12","end":"08:27","startHours":8.202570790997926,"endHours":8.443828307204011,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:39","startHours":12.047612455532395,"endHours":12.650756246047607,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:37","end":"07:13","startHours":6.619318340895498,"endHours":7.222462131410709,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:04","end":"07:50","startHours":7.071676183781906,"endHours":7.82560592192592,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:28","startHours":13.857043827078027,"endHours":14.460187617593236,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:40","end":"17:04","startHours":16.672762779654082,"endHours":17.07276277965408,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:52","end":"17:15","startHours":16.87276277965408,"endHours":17.24972764872609,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:37","end":"18:22","startHours":16.62276277965408,"endHours":18.37276277965408,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:39","startHours":24.047612455532395,"endHours":24.650756246047607,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:50","end":"08:57","startHours":7.82560592192592,"endHours":8.956500529141941,"quality":"inauspicious"},{"name":"Udveg","start":"08:57","end":"10:05","startHours":8.956500529141941,"endHours":10.08739513635796,"quality":"inauspicious"},{"name":"Chala","start":"10:05","end":"11:13","startHours":10.08739513635796,"endHours":11.21828974357398,"quality":"neutral"},{"name":"Labha","start":"11:13","end":"12:21","startHours":11.21828974357398,"endHours":12.34918435079,"quality":"auspicious"},{"name":"Amṛta","start":"12:21","end":"13:29","startHours":12.34918435079,"endHours":13.480078958006022,"quality":"auspicious"},{"name":"Kāla","start":"13:29","end":"14:37","startHours":13.480078958006022,"endHours":14.610973565222041,"quality":"inauspicious"},{"name":"Śubha","start":"14:37","end":"15:45","startHours":14.610973565222041,"endHours":15.74186817243806,"quality":"auspicious"},{"name":"Roga","start":"15:45","end":"16:52","startHours":15.74186817243806,"endHours":16.87276277965408,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"16:52","end":"18:45","startHours":16.87276277965408,"endHours":18.74186817243806,"quality":"inauspicious"},{"name":"Śubha","start":"18:45","end":"20:37","startHours":18.74186817243806,"endHours":20.61097356522204,"quality":"auspicious"},{"name":"Roga","start":"20:37","end":"22:29","startHours":20.61097356522204,"endHours":22.480078958006022,"quality":"inauspicious"},{"name":"Udveg","start":"22:29","end":"00:21","startHours":22.480078958006022,"endHours":24.34918435079,"quality":"inauspicious"},{"name":"Chala","start":"00:21","end":"02:13","startHours":24.34918435079,"endHours":26.21828974357398,"quality":"neutral"},{"name":"Labha","start":"02:13","end":"04:05","startHours":26.21828974357398,"endHours":28.087395136357962,"quality":"auspicious"},{"name":"Amṛta","start":"04:05","end":"05:57","startHours":28.087395136357962,"endHours":29.95650052914194,"quality":"auspicious"},{"name":"Kāla","start":"05:57","end":"07:50","startHours":29.95650052914194,"endHours":31.82560592192592,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:50","end":"08:50","startHours":7.82560592192592,"endHours":8.82560592192592,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:50","end":"09:50","startHours":8.82560592192592,"endHours":9.82560592192592,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:50","end":"10:50","startHours":9.82560592192592,"endHours":10.82560592192592,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:50","end":"11:50","startHours":10.82560592192592,"endHours":11.82560592192592,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:50","end":"12:50","startHours":11.82560592192592,"endHours":12.82560592192592,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:50","end":"13:50","startHours":12.82560592192592,"endHours":13.82560592192592,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:50","end":"14:50","startHours":13.82560592192592,"endHours":14.82560592192592,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:50","end":"15:50","startHours":14.82560592192592,"endHours":15.82560592192592,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:50","end":"16:50","startHours":15.82560592192592,"endHours":16.82560592192592,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:50","end":"17:50","startHours":16.82560592192592,"endHours":17.82560592192592,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:50","end":"18:50","startHours":17.82560592192592,"endHours":18.82560592192592,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:50","end":"19:50","startHours":18.82560592192592,"endHours":19.82560592192592,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:50","end":"20:50","startHours":19.82560592192592,"endHours":20.82560592192592,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:50","end":"21:50","startHours":20.82560592192592,"endHours":21.82560592192592,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:50","end":"22:50","startHours":21.82560592192592,"endHours":22.82560592192592,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:50","end":"23:50","startHours":22.82560592192592,"endHours":23.82560592192592,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:50","end":"00:50","startHours":23.82560592192592,"endHours":24.82560592192592,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:50","end":"01:50","startHours":24.82560592192592,"endHours":25.82560592192592,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:50","end":"02:50","startHours":25.82560592192592,"endHours":26.82560592192592,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:50","end":"03:50","startHours":26.82560592192592,"endHours":27.82560592192592,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:50","end":"04:50","startHours":27.82560592192592,"endHours":28.82560592192592,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:50","end":"05:50","startHours":28.82560592192592,"endHours":29.82560592192592,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:50","end":"06:50","startHours":29.82560592192592,"endHours":30.82560592192592,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:50","end":"07:50","startHours":30.82560592192592,"endHours":31.82560592192592,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Śiśira (Winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-17.130508943707344,"eotMinutes":-14.571061047399978,"ayanamsa":-47.4029}},"calendars":{"vikram_samvat":-3044,"saka_samvat":-3179,"bengali_samvat":-3694,"malayalam_era":-3925,"nanakshahi_year":-4570,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Trayodaśī · Vikram -3044 undefined · Śaka -3179 undefined"},"festivals":[{"id":"mina-sankranti","name":"Mīna Saṅkrānti","name_sanskrit":"मीन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Pisces; Mīna-māsa begins.","vrata":false,"detection":{"sun_rashi":"Mīna"},"precedence":5},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"berlin"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga February 15, 3102 BCE · Berlin, Germany · Vidhyamitra","description":"February 15, 3102 BCE for Berlin, Germany: Kṛṣṇa Trayodaśī, sūryodaya 07:50, sūryāsta 16:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/-3101-02-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/-3101-02-15","sa":"https://sa.vidhyamitra.com/city/berlin/-3101-02-15","hi":"https://hi.vidhyamitra.com/city/berlin/-3101-02-15","x-default":"https://vidhyamitra.com/city/berlin/-3101-02-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:04:40.592Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-14T17:04:40.592Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:04:40.592Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}