{"id":"vidhyamitra:city-day:badrinath:-0511-03-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-0511-03-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0511-03-21","date_display":"March 21, 512 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":-511,"month":3,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1534494.770833,"kali_year":2591,"ahargana":946029.2708,"sun":{"sidereal_longitude":11.1237,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":219.9788,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":208.8551,"elapsed_within_tithi_degrees":4.8551},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":219.9788,"elapsed_within_degrees":6.6455},"yoga":{"number":18,"name":"Varīyān","sum_longitude":231.1025},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":-511,"month":3,"day":21,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1534494.770833,"ahargana":946029.2708,"kali_year":2591,"ayanamsa_lahiri":-11.2207,"grahas":{"sun":{"sidereal_longitude":11.1237,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":219.9788,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false,"latitude":3.6776},"mars":{"sidereal_longitude":16.8232,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":6.6709,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":117.7081,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":37.1915,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":311.1859,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":94.8166,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":274.8166,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":-511,"month":3,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1534494.770833,"kali_year":2591,"ahargana":946029.2708,"sun":{"sidereal_longitude":11.1237,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":219.9788,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":208.8551,"elapsed_within_tithi_degrees":4.8551},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":219.9788,"elapsed_within_degrees":6.6455},"yoga":{"number":18,"name":"Varīyān","sum_longitude":231.1025},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.678,"elongation":151.145},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.678,"opposition_distance":28.855}},"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":"06:16","sunsetLocal":"18:24","solarNoonLocal":"12:20","dayLengthHours":12.126169164167244,"dayLengthDisplay":"12 Hours 07 Mins 34 Secs","nightLengthDisplay":"11 Hours 52 Mins 26 Secs","moonriseLocal":"20:39","moonsetLocal":"07:51","rahuKala":{"name":"Rāhu Kāla","start":"10:49","end":"12:20","startHours":10.81535561484122,"endHours":12.331126760362125,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:22","end":"16:53","startHours":15.362669051403937,"endHours":16.878440196924842,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:47","end":"09:18","startHours":7.783813323799409,"endHours":9.299584469320315,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:06","end":"09:30","startHours":9.097481649917526,"endHours":9.501687288723101,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:46","end":"07:06","startHours":6.773299226785472,"endHours":7.096663737829932,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:44","startHours":11.92692112155655,"endHours":12.7353323991677,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:39","end":"05:28","startHours":4.651219623056204,"endHours":5.459630900667354,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:15","end":"06:16","startHours":5.257528081264566,"endHours":6.268042178278503,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:10","startHours":14.352154954389999,"endHours":15.160566232001148,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:12","end":"18:36","startHours":18.194211342445747,"endHours":18.594211342445746,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:24","end":"18:54","startHours":18.394211342445747,"endHours":18.899468390952716,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:09","end":"19:54","startHours":18.144211342445747,"endHours":19.894211342445747,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:44","startHours":23.92692112155655,"endHours":24.7353323991677,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:16","end":"07:47","startHours":6.268042178278503,"endHours":7.783813323799409,"quality":"neutral"},{"name":"Labha","start":"07:47","end":"09:18","startHours":7.783813323799409,"endHours":9.299584469320315,"quality":"auspicious"},{"name":"Amṛta","start":"09:18","end":"10:49","startHours":9.299584469320315,"endHours":10.81535561484122,"quality":"auspicious"},{"name":"Kāla","start":"10:49","end":"12:20","startHours":10.81535561484122,"endHours":12.331126760362125,"quality":"inauspicious"},{"name":"Śubha","start":"12:20","end":"13:51","startHours":12.331126760362125,"endHours":13.846897905883031,"quality":"auspicious"},{"name":"Roga","start":"13:51","end":"15:22","startHours":13.846897905883031,"endHours":15.362669051403937,"quality":"inauspicious"},{"name":"Udveg","start":"15:22","end":"16:53","startHours":15.362669051403937,"endHours":16.878440196924842,"quality":"inauspicious"},{"name":"Chala","start":"16:53","end":"18:24","startHours":16.878440196924842,"endHours":18.394211342445747,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:24","end":"19:53","startHours":18.394211342445747,"endHours":19.878440196924842,"quality":"inauspicious"},{"name":"Udveg","start":"19:53","end":"21:22","startHours":19.878440196924842,"endHours":21.362669051403934,"quality":"inauspicious"},{"name":"Chala","start":"21:22","end":"22:51","startHours":21.362669051403934,"endHours":22.84689790588303,"quality":"neutral"},{"name":"Labha","start":"22:51","end":"00:20","startHours":22.84689790588303,"endHours":24.331126760362125,"quality":"auspicious"},{"name":"Amṛta","start":"00:20","end":"01:49","startHours":24.331126760362125,"endHours":25.81535561484122,"quality":"auspicious"},{"name":"Kāla","start":"01:49","end":"03:18","startHours":25.81535561484122,"endHours":27.299584469320315,"quality":"inauspicious"},{"name":"Śubha","start":"03:18","end":"04:47","startHours":27.299584469320315,"endHours":28.783813323799407,"quality":"auspicious"},{"name":"Roga","start":"04:47","end":"06:16","startHours":28.783813323799407,"endHours":30.268042178278503,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:16","end":"07:16","startHours":6.268042178278503,"endHours":7.268042178278503,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:16","end":"08:16","startHours":7.268042178278503,"endHours":8.268042178278503,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:16","end":"09:16","startHours":8.268042178278503,"endHours":9.268042178278503,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:16","end":"10:16","startHours":9.268042178278503,"endHours":10.268042178278503,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:16","end":"11:16","startHours":10.268042178278503,"endHours":11.268042178278503,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:16","end":"12:16","startHours":11.268042178278503,"endHours":12.268042178278503,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:16","end":"13:16","startHours":12.268042178278503,"endHours":13.268042178278503,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:16","end":"14:16","startHours":13.268042178278503,"endHours":14.268042178278503,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:16","end":"15:16","startHours":14.268042178278503,"endHours":15.268042178278503,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:16","end":"16:16","startHours":15.268042178278503,"endHours":16.268042178278503,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:16","end":"17:16","startHours":16.268042178278503,"endHours":17.268042178278503,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:16","end":"18:16","startHours":17.268042178278503,"endHours":18.268042178278503,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:16","end":"19:16","startHours":18.268042178278503,"endHours":19.268042178278503,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:16","end":"20:16","startHours":19.268042178278503,"endHours":20.268042178278503,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:16","end":"21:16","startHours":20.268042178278503,"endHours":21.268042178278503,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:16","end":"22:16","startHours":21.268042178278503,"endHours":22.268042178278503,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:16","end":"23:16","startHours":22.268042178278503,"endHours":23.268042178278503,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:16","end":"00:16","startHours":23.268042178278503,"endHours":24.268042178278503,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:16","end":"01:16","startHours":24.268042178278503,"endHours":25.268042178278503,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:16","end":"02:16","startHours":25.268042178278503,"endHours":26.268042178278503,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:16","end":"03:16","startHours":26.268042178278503,"endHours":27.268042178278503,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:16","end":"04:16","startHours":27.268042178278503,"endHours":28.268042178278503,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:16","end":"05:16","startHours":28.268042178278503,"endHours":29.268042178278503,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:16","end":"06:16","startHours":29.268042178278503,"endHours":30.268042178278503,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"South-East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"undefined (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-0.03858003321917952,"eotMinutes":-7.842805621727393,"ayanamsa":-11.2207}},"calendars":{"vikram_samvat":-454,"saka_samvat":-589,"bengali_samvat":-1104,"malayalam_era":-1335,"nanakshahi_year":-1980,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Tṛtīyā · Vikram -454 undefined · Śaka -589 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 March 21, 512 BCE · Badarīnāth · Vidhyamitra","description":"March 21, 512 BCE for Badarīnāth: Kṛṣṇa Tṛtīyā, sūryodaya 06:16, sūryāsta 18:24.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-0511-03-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-0511-03-21","sa":"https://sa.vidhyamitra.com/city/badrinath/-0511-03-21","hi":"https://hi.vidhyamitra.com/city/badrinath/-0511-03-21","x-default":"https://vidhyamitra.com/city/badrinath/-0511-03-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T21:36:20.575Z","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":"2026-08-11T21:36:20.575Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T21:36:20.575Z","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"}}}