{"id":"vidhyamitra:city-day:badrinath:-3200-05-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3200-05-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3200-05-16","date_display":"May 16, 3201 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":-3200,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":552393.770833,"kali_year":-98,"ahargana":-36071.7292,"sun":{"sidereal_longitude":87.1887,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":271.6668,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":184.4781,"elapsed_within_tithi_degrees":4.4781},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":271.6668,"elapsed_within_degrees":5.0002},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":358.8556},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":-3200,"month":5,"day":16,"hour":6,"minute":30,"calendar":"julian"},"julian_day":552393.770833,"ahargana":-36071.7292,"kali_year":-98,"ayanamsa_lahiri":-48.7824,"grahas":{"sun":{"sidereal_longitude":87.1887,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":271.6668,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":-1.5072},"mars":{"sidereal_longitude":140.3447,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":68.9783,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":230.4874,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":119.6002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":231.3584,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":291.2538,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":111.2538,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"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":-3200,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":552393.770833,"kali_year":-98,"ahargana":-36071.7292,"sun":{"sidereal_longitude":87.1887,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":271.6668,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":184.4781,"elapsed_within_tithi_degrees":4.4781},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":271.6668,"elapsed_within_degrees":5.0002},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":358.8556},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.507,"elongation":175.522},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.507,"opposition_distance":4.478}},"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":"05:29","sunsetLocal":"18:47","solarNoonLocal":"12:08","dayLengthHours":13.298220755596155,"dayLengthDisplay":"13 Hours 17 Mins 54 Secs","nightLengthDisplay":"10 Hours 42 Mins 06 Secs","moonriseLocal":"19:02","moonsetLocal":"05:51","rahuKala":{"name":"Rāhu Kāla","start":"13:48","end":"15:28","startHours":13.800303345136395,"endHours":15.462580939585916,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:29","end":"07:09","startHours":5.4889153728887985,"endHours":7.151192967338318,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:49","end":"10:29","startHours":8.813470561787838,"endHours":10.475748156237357,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:36","end":"09:02","startHours":8.591833549194568,"endHours":9.035107574381106,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:24","startHours":6.043007904371971,"endHours":6.397627124521202,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:35","startHours":11.694751725500337,"endHours":12.581299775873413,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:36","startHours":3.715819272142644,"endHours":4.602367322515722,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:23","end":"05:29","startHours":4.380730309922452,"endHours":5.4889153728887985,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:14","startHours":14.35439587661957,"endHours":15.240943926992648,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:35","end":"18:59","startHours":18.587136128484953,"endHours":18.987136128484952,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:47","end":"19:20","startHours":18.787136128484953,"endHours":19.341228659968127,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:32","end":"20:17","startHours":18.537136128484953,"endHours":20.287136128484953,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:35","startHours":23.694751725500335,"endHours":24.581299775873415,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:29","end":"07:09","startHours":5.4889153728887985,"endHours":7.151192967338318,"quality":"auspicious"},{"name":"Roga","start":"07:09","end":"08:49","startHours":7.151192967338318,"endHours":8.813470561787838,"quality":"inauspicious"},{"name":"Udveg","start":"08:49","end":"10:29","startHours":8.813470561787838,"endHours":10.475748156237357,"quality":"inauspicious"},{"name":"Chala","start":"10:29","end":"12:08","startHours":10.475748156237357,"endHours":12.138025750686875,"quality":"neutral"},{"name":"Labha","start":"12:08","end":"13:48","startHours":12.138025750686875,"endHours":13.800303345136395,"quality":"auspicious"},{"name":"Amṛta","start":"13:48","end":"15:28","startHours":13.800303345136395,"endHours":15.462580939585916,"quality":"auspicious"},{"name":"Kāla","start":"15:28","end":"17:07","startHours":15.462580939585916,"endHours":17.124858534035432,"quality":"inauspicious"},{"name":"Śubha","start":"17:07","end":"18:47","startHours":17.124858534035432,"endHours":18.787136128484953,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:47","end":"20:07","startHours":18.787136128484953,"endHours":20.124858534035432,"quality":"auspicious"},{"name":"Kāla","start":"20:07","end":"21:28","startHours":20.124858534035432,"endHours":21.462580939585912,"quality":"inauspicious"},{"name":"Śubha","start":"21:28","end":"22:48","startHours":21.462580939585912,"endHours":22.800303345136395,"quality":"auspicious"},{"name":"Roga","start":"22:48","end":"00:08","startHours":22.800303345136395,"endHours":24.138025750686875,"quality":"inauspicious"},{"name":"Udveg","start":"00:08","end":"01:29","startHours":24.138025750686875,"endHours":25.475748156237355,"quality":"inauspicious"},{"name":"Chala","start":"01:29","end":"02:49","startHours":25.475748156237355,"endHours":26.813470561787838,"quality":"neutral"},{"name":"Labha","start":"02:49","end":"04:09","startHours":26.813470561787838,"endHours":28.151192967338318,"quality":"auspicious"},{"name":"Amṛta","start":"04:09","end":"05:29","startHours":28.151192967338318,"endHours":29.488915372888798,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:29","end":"06:29","startHours":5.4889153728887985,"endHours":6.4889153728887985,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:29","end":"07:29","startHours":6.4889153728887985,"endHours":7.4889153728887985,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:29","end":"08:29","startHours":7.4889153728887985,"endHours":8.488915372888798,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:29","end":"09:29","startHours":8.488915372888798,"endHours":9.488915372888798,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:29","end":"10:29","startHours":9.488915372888798,"endHours":10.488915372888798,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:29","end":"11:29","startHours":10.488915372888798,"endHours":11.488915372888798,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:29","end":"12:29","startHours":11.488915372888798,"endHours":12.488915372888798,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:29","end":"13:29","startHours":12.488915372888798,"endHours":13.488915372888798,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:29","end":"14:29","startHours":13.488915372888798,"endHours":14.488915372888798,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:29","end":"15:29","startHours":14.488915372888798,"endHours":15.488915372888798,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:29","end":"16:29","startHours":15.488915372888798,"endHours":16.488915372888798,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:29","end":"17:29","startHours":16.488915372888798,"endHours":17.488915372888798,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:29","end":"18:29","startHours":17.488915372888798,"endHours":18.488915372888798,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:29","end":"19:29","startHours":18.488915372888798,"endHours":19.488915372888798,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:29","end":"20:29","startHours":19.488915372888798,"endHours":20.488915372888798,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:29","end":"21:29","startHours":20.488915372888798,"endHours":21.488915372888798,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:29","end":"22:29","startHours":21.488915372888798,"endHours":22.488915372888798,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:29","end":"23:29","startHours":22.488915372888798,"endHours":23.488915372888798,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:29","end":"00:29","startHours":23.488915372888798,"endHours":24.488915372888798,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:29","end":"01:29","startHours":24.488915372888798,"endHours":25.488915372888798,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:29","end":"02:29","startHours":25.488915372888798,"endHours":26.488915372888798,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:29","end":"03:29","startHours":26.488915372888798,"endHours":27.488915372888798,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:29","end":"04:29","startHours":27.488915372888798,"endHours":28.488915372888798,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:29","end":"05:29","startHours":28.488915372888798,"endHours":29.488915372888798,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.30507880664003,"eotMinutes":3.743254958787478,"ayanamsa":-48.7824}},"calendars":{"vikram_samvat":-3143,"saka_samvat":-3278,"bengali_samvat":-3793,"malayalam_era":-4024,"nanakshahi_year":-4669,"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 -3143 undefined · Śaka -3278 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 16, 3201 BCE · Badarīnāth · Vidhyamitra","description":"May 16, 3201 BCE for Badarīnāth: Kṛṣṇa Pratipada, sūryodaya 05:29, sūryāsta 18:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3200-05-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3200-05-16","sa":"https://sa.vidhyamitra.com/city/badrinath/-3200-05-16","hi":"https://hi.vidhyamitra.com/city/badrinath/-3200-05-16","x-default":"https://vidhyamitra.com/city/badrinath/-3200-05-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T10:11:08.943Z","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":"2026-08-10T10:11:08.943Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T10:11:08.943Z","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"}}}