{"id":"vidhyamitra:city-day:badrinath:-3165-04-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3165-04-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3165-04-16","date_display":"April 16, 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":4,"day":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565146.770833,"kali_year":-63,"ahargana":-23318.7292,"sun":{"sidereal_longitude":57.7789,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":184.0558,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":126.2769,"elapsed_within_tithi_degrees":6.2769},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":184.0558,"elapsed_within_degrees":10.7224},"yoga":{"number":19,"name":"Parigha","sum_longitude":241.8346},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":4,"day":16,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565146.770833,"ahargana":-23318.7292,"kali_year":-63,"ayanamsa_lahiri":-48.2947,"grahas":{"sun":{"sidereal_longitude":57.7789,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":184.0558,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":-2.1467},"mars":{"sidereal_longitude":41.9622,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":38.0375,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":212.918,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":66.9067,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":297.3622,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":335.5385,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":155.5385,"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":4,"day":16,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565146.770833,"kali_year":-63,"ahargana":-23318.7292,"sun":{"sidereal_longitude":57.7789,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":184.0558,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":126.2769,"elapsed_within_tithi_degrees":6.2769},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":184.0558,"elapsed_within_degrees":10.7224},"yoga":{"number":19,"name":"Parigha","sum_longitude":241.8346},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.147,"elongation":126.277},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.147,"opposition_distance":53.723}},"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":"05:59","sunsetLocal":"18:25","solarNoonLocal":"12:12","dayLengthHours":12.428150848416202,"dayLengthDisplay":"12 Hours 25 Mins 41 Secs","nightLengthDisplay":"11 Hours 34 Mins 19 Secs","moonriseLocal":"13:55","moonsetLocal":"03:20","rahuKala":{"name":"Rāhu Kāla","start":"12:12","end":"13:45","startHours":12.200158481390027,"endHours":13.753677337442053,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:32","end":"09:06","startHours":7.539601913233952,"endHours":9.093120769285978,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:39","end":"12:12","startHours":10.646639625338002,"endHours":12.200158481390027,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:18","startHours":8.885984921812373,"endHours":9.30025661675958,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:30","end":"06:50","startHours":6.503922675865935,"endHours":6.8353400318237005,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:37","startHours":11.78588678644282,"endHours":12.614430176337233,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:20","end":"05:09","startHours":4.3289962773931,"endHours":5.157539667287513,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"05:59","startHours":4.95040381981391,"endHours":5.986083057181927,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"15:06","startHours":14.27151695612606,"endHours":15.100060346020474,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:13","end":"18:37","startHours":18.214233905598128,"endHours":18.614233905598127,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:25","end":"18:56","startHours":18.414233905598127,"endHours":18.932073524282135,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:10","end":"19:55","startHours":18.164233905598127,"endHours":19.914233905598127,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:37","startHours":23.78588678644282,"endHours":24.614430176337233,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:59","end":"07:32","startHours":5.986083057181927,"endHours":7.539601913233952,"quality":"auspicious"},{"name":"Amṛta","start":"07:32","end":"09:06","startHours":7.539601913233952,"endHours":9.093120769285978,"quality":"auspicious"},{"name":"Kāla","start":"09:06","end":"10:39","startHours":9.093120769285978,"endHours":10.646639625338002,"quality":"inauspicious"},{"name":"Śubha","start":"10:39","end":"12:12","startHours":10.646639625338002,"endHours":12.200158481390027,"quality":"auspicious"},{"name":"Roga","start":"12:12","end":"13:45","startHours":12.200158481390027,"endHours":13.753677337442053,"quality":"inauspicious"},{"name":"Udveg","start":"13:45","end":"15:18","startHours":13.753677337442053,"endHours":15.307196193494079,"quality":"inauspicious"},{"name":"Chala","start":"15:18","end":"16:52","startHours":15.307196193494079,"endHours":16.8607150495461,"quality":"neutral"},{"name":"Labha","start":"16:52","end":"18:25","startHours":16.8607150495461,"endHours":18.414233905598127,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:25","end":"19:52","startHours":18.414233905598127,"endHours":19.8607150495461,"quality":"inauspicious"},{"name":"Chala","start":"19:52","end":"21:18","startHours":19.8607150495461,"endHours":21.30719619349408,"quality":"neutral"},{"name":"Labha","start":"21:18","end":"22:45","startHours":21.30719619349408,"endHours":22.753677337442053,"quality":"auspicious"},{"name":"Amṛta","start":"22:45","end":"00:12","startHours":22.753677337442053,"endHours":24.200158481390027,"quality":"auspicious"},{"name":"Kāla","start":"00:12","end":"01:39","startHours":24.200158481390027,"endHours":25.646639625338,"quality":"inauspicious"},{"name":"Śubha","start":"01:39","end":"03:06","startHours":25.646639625338,"endHours":27.093120769285974,"quality":"auspicious"},{"name":"Roga","start":"03:06","end":"04:32","startHours":27.093120769285974,"endHours":28.539601913233952,"quality":"inauspicious"},{"name":"Udveg","start":"04:32","end":"05:59","startHours":28.539601913233952,"endHours":29.986083057181926,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:59","end":"06:59","startHours":5.986083057181927,"endHours":6.986083057181927,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:59","end":"07:59","startHours":6.986083057181927,"endHours":7.986083057181927,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:59","end":"08:59","startHours":7.986083057181927,"endHours":8.986083057181926,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:59","end":"09:59","startHours":8.986083057181926,"endHours":9.986083057181926,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:59","end":"10:59","startHours":9.986083057181926,"endHours":10.986083057181926,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:59","end":"11:59","startHours":10.986083057181926,"endHours":11.986083057181926,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:59","end":"12:59","startHours":11.986083057181926,"endHours":12.986083057181926,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:59","end":"13:59","startHours":12.986083057181926,"endHours":13.986083057181926,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:59","end":"14:59","startHours":13.986083057181926,"endHours":14.986083057181926,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:59","end":"15:59","startHours":14.986083057181926,"endHours":15.986083057181926,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:59","end":"16:59","startHours":15.986083057181926,"endHours":16.986083057181926,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:59","end":"17:59","startHours":16.986083057181926,"endHours":17.986083057181926,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:59","end":"18:59","startHours":17.986083057181926,"endHours":18.986083057181926,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:59","end":"19:59","startHours":18.986083057181926,"endHours":19.986083057181926,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:59","end":"20:59","startHours":19.986083057181926,"endHours":20.986083057181926,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:59","end":"21:59","startHours":20.986083057181926,"endHours":21.986083057181926,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:59","end":"22:59","startHours":21.986083057181926,"endHours":22.986083057181926,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:59","end":"23:59","startHours":22.986083057181926,"endHours":23.986083057181926,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:59","end":"00:59","startHours":23.986083057181926,"endHours":24.986083057181926,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:59","end":"01:59","startHours":24.986083057181926,"endHours":25.986083057181926,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:59","end":"02:59","startHours":25.986083057181926,"endHours":26.986083057181926,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:59","end":"03:59","startHours":26.986083057181926,"endHours":27.986083057181926,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:59","end":"04:59","startHours":27.986083057181926,"endHours":28.986083057181926,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:59","end":"05:59","startHours":28.986083057181926,"endHours":29.986083057181926,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.7576644818122853,"eotMinutes":0.015291116598477705,"ayanamsa":-48.2947}},"calendars":{"vikram_samvat":-3108,"saka_samvat":-3243,"bengali_samvat":-3758,"malayalam_era":-3989,"nanakshahi_year":-4634,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Ekādaśī · Vikram -3108 undefined · Śaka -3243 undefined"},"festivals":[{"id":"nirjala-ekadashi","name":"Nirjalā Ekādaśī","name_sanskrit":"निर्जला एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Strictest Ekādaśī (no water for 24 hours); Bhīma's vrata. Confers fruit of all 24 Ekādaśīs.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Jyeṣṭha"},"precedence":1,"sources":["Mahābhārata, Anuśāsana Parva"]},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Dedicated festival walk for Nirjalā Ekādaśī · Ekādaśī is not live yet; Budhavāra (Wednesday) — 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 April 16, 3166 BCE · Badarīnāth · Vidhyamitra","description":"April 16, 3166 BCE for Badarīnāth: Śukla Ekādaśī, sūryodaya 05:59, sūryāsta 18:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3165-04-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3165-04-16","sa":"https://sa.vidhyamitra.com/city/badrinath/-3165-04-16","hi":"https://hi.vidhyamitra.com/city/badrinath/-3165-04-16","x-default":"https://vidhyamitra.com/city/badrinath/-3165-04-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T19:58:10.789Z","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":"2026-08-11T19:58:10.789Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T19:58:10.789Z","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"}}}