{"id":"vidhyamitra:city-day:badrinath:-3165-05-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3165-05-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3165-05-20","date_display":"May 20, 3166 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3165,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565180.770833,"kali_year":-63,"ahargana":-23284.7292,"sun":{"sidereal_longitude":89.9769,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":278.6025,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":188.6255,"elapsed_within_tithi_degrees":8.6255},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.6025,"elapsed_within_degrees":11.9358},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":8.5794},"karana":{"half_tithi_index":31,"name":"Kaulava"},"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":-3165,"month":5,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565180.770833,"ahargana":-23284.7292,"kali_year":-63,"ayanamsa_lahiri":-48.2934,"grahas":{"sun":{"sidereal_longitude":89.9769,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":278.6025,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":-3.691},"mars":{"sidereal_longitude":65.8879,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":98.9504,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":210.6277,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":108.4078,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":295.771,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":333.737,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":153.737,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3165,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565180.770833,"kali_year":-63,"ahargana":-23284.7292,"sun":{"sidereal_longitude":89.9769,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":278.6025,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":188.6255,"elapsed_within_tithi_degrees":8.6255},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":278.6025,"elapsed_within_degrees":11.9358},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":8.5794},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.691,"elongation":171.374},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.691,"opposition_distance":8.626}},"eclipse_window_40days":[]},"city":{"slug":"badrinath","name":"Badarīnāth","lat":30.7433,"lon":79.4938,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha","elevation_m":3133},"tier2":{"city":{"slug":"badrinath","name":"Badarīnāth","lat":30.7433,"lon":79.4938,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha","elevation_m":3133},"sunriseLocal":"05:27","sunsetLocal":"18:50","solarNoonLocal":"12:08","dayLengthHours":13.387819020162091,"dayLengthDisplay":"13 Hours 23 Mins 16 Secs","nightLengthDisplay":"10 Hours 36 Mins 44 Secs","moonriseLocal":"19:24","moonsetLocal":"06:02","rahuKala":{"name":"Rāhu Kāla","start":"15:29","end":"17:10","startHours":15.487396204770768,"endHours":17.160873582291032,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:48","end":"10:28","startHours":8.793486694689722,"endHours":10.466964072209985,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:08","end":"13:49","startHours":12.140441449730247,"endHours":13.813918827250507,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:34","end":"09:01","startHours":8.570356377687022,"endHours":9.016617011692425,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:00","end":"06:22","startHours":6.004357732155954,"endHours":6.361366239360277,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:35","startHours":11.694180815724843,"endHours":12.58670208373565,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:40","end":"04:33","startHours":3.6614894036275882,"endHours":4.554010671638395,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:20","end":"05:27","startHours":4.330880354635693,"endHours":5.4465319396492005,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:16","startHours":14.371744619757262,"endHours":15.264265887768069,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:38","end":"19:02","startHours":18.634350959811293,"endHours":19.03435095981129,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:50","end":"19:24","startHours":18.834350959811292,"endHours":19.392176752318047,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:35","end":"20:20","startHours":18.584350959811292,"endHours":20.334350959811292,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:35","startHours":23.694180815724845,"endHours":24.58670208373565,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:27","end":"07:07","startHours":5.4465319396492005,"endHours":7.120009317169462,"quality":"inauspicious"},{"name":"Udveg","start":"07:07","end":"08:48","startHours":7.120009317169462,"endHours":8.793486694689722,"quality":"inauspicious"},{"name":"Chala","start":"08:48","end":"10:28","startHours":8.793486694689722,"endHours":10.466964072209985,"quality":"neutral"},{"name":"Labha","start":"10:28","end":"12:08","startHours":10.466964072209985,"endHours":12.140441449730247,"quality":"auspicious"},{"name":"Amṛta","start":"12:08","end":"13:49","startHours":12.140441449730247,"endHours":13.813918827250507,"quality":"auspicious"},{"name":"Kāla","start":"13:49","end":"15:29","startHours":13.813918827250507,"endHours":15.487396204770768,"quality":"inauspicious"},{"name":"Śubha","start":"15:29","end":"17:10","startHours":15.487396204770768,"endHours":17.160873582291032,"quality":"auspicious"},{"name":"Roga","start":"17:10","end":"18:50","startHours":17.160873582291032,"endHours":18.834350959811292,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:50","end":"20:10","startHours":18.834350959811292,"endHours":20.160873582291032,"quality":"inauspicious"},{"name":"Śubha","start":"20:10","end":"21:29","startHours":20.160873582291032,"endHours":21.487396204770768,"quality":"auspicious"},{"name":"Roga","start":"21:29","end":"22:49","startHours":21.487396204770768,"endHours":22.813918827250507,"quality":"inauspicious"},{"name":"Udveg","start":"22:49","end":"00:08","startHours":22.813918827250507,"endHours":24.140441449730247,"quality":"inauspicious"},{"name":"Chala","start":"00:08","end":"01:28","startHours":24.140441449730247,"endHours":25.466964072209986,"quality":"neutral"},{"name":"Labha","start":"01:28","end":"02:48","startHours":25.466964072209986,"endHours":26.793486694689726,"quality":"auspicious"},{"name":"Amṛta","start":"02:48","end":"04:07","startHours":26.793486694689726,"endHours":28.120009317169462,"quality":"auspicious"},{"name":"Kāla","start":"04:07","end":"05:27","startHours":28.120009317169462,"endHours":29.4465319396492,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:27","end":"06:27","startHours":5.4465319396492005,"endHours":6.4465319396492005,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:27","end":"07:27","startHours":6.4465319396492005,"endHours":7.4465319396492005,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:27","end":"08:27","startHours":7.4465319396492005,"endHours":8.446531939649201,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:27","end":"09:27","startHours":8.446531939649201,"endHours":9.446531939649201,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:27","end":"10:27","startHours":9.446531939649201,"endHours":10.446531939649201,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:27","end":"11:27","startHours":10.446531939649201,"endHours":11.446531939649201,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:27","end":"12:27","startHours":11.446531939649201,"endHours":12.446531939649201,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:27","end":"13:27","startHours":12.446531939649201,"endHours":13.446531939649201,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:27","end":"14:27","startHours":13.446531939649201,"endHours":14.446531939649201,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:27","end":"15:27","startHours":14.446531939649201,"endHours":15.446531939649201,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:27","end":"16:27","startHours":15.446531939649201,"endHours":16.4465319396492,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:27","end":"17:27","startHours":16.4465319396492,"endHours":17.4465319396492,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:27","end":"18:27","startHours":17.4465319396492,"endHours":18.4465319396492,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:27","end":"19:27","startHours":18.4465319396492,"endHours":19.4465319396492,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:27","end":"20:27","startHours":19.4465319396492,"endHours":20.4465319396492,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:27","end":"21:27","startHours":20.4465319396492,"endHours":21.4465319396492,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:27","end":"22:27","startHours":21.4465319396492,"endHours":22.4465319396492,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:27","end":"23:27","startHours":22.4465319396492,"endHours":23.4465319396492,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:27","end":"00:27","startHours":23.4465319396492,"endHours":24.4465319396492,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:27","end":"01:27","startHours":24.4465319396492,"endHours":25.4465319396492,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:27","end":"02:27","startHours":25.4465319396492,"endHours":26.4465319396492,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:27","end":"03:27","startHours":26.4465319396492,"endHours":27.4465319396492,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:27","end":"04:27","startHours":27.4465319396492,"endHours":28.4465319396492,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:27","end":"05:27","startHours":28.4465319396492,"endHours":29.4465319396492,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":15.337136488634801,"eotMinutes":3.5983130161851964,"ayanamsa":-48.2934}},"calendars":{"vikram_samvat":-3108,"saka_samvat":-3243,"bengali_samvat":-3758,"malayalam_era":-3989,"nanakshahi_year":-4634,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Pratipada · Vikram -3108 undefined · Śaka -3243 undefined"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi_ingress":"Karka"},"precedence":2}],"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":"Dedicated festival walk for Karka Saṅkrānti (Dakṣiṇāyana) is not live yet; Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"badrinath"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga May 20, 3166 BCE · Badarīnāth · Vidhyamitra","description":"May 20, 3166 BCE for Badarīnāth: Kṛṣṇa Pratipada, sūryodaya 05:27, sūryāsta 18:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3165-05-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3165-05-20","sa":"https://sa.vidhyamitra.com/city/badrinath/-3165-05-20","hi":"https://hi.vidhyamitra.com/city/badrinath/-3165-05-20","x-default":"https://vidhyamitra.com/city/badrinath/-3165-05-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T10:46:57.520Z","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":"2026-08-10T10:46:57.520Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T10:46:57.520Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}