{"id":"vidhyamitra:city-day:badrinath:2021-05-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2021-05-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-05-15","date_display":"May 15, 2021 CE","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":2021,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459349.770833,"kali_year":5123,"ahargana":1870884.2708,"sun":{"sidereal_longitude":30.2306,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":68.88,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.6494,"elapsed_within_tithi_degrees":2.6494},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":68.88,"elapsed_within_degrees":2.2133},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":99.1106},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2021,"month":5,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459349.770833,"ahargana":1870884.2708,"kali_year":5123,"ayanamsa_lahiri":24.1515,"grahas":{"sun":{"sidereal_longitude":30.29731099999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":65.57931100000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false,"latitude":1.3393},"mars":{"sidereal_longitude":78.691911,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":51.852011000000005,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":305.94801099999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":42.90041099999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":289.326511,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":51.548,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":231.548,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2021,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459349.770833,"kali_year":5123,"ahargana":1870884.2708,"sun":{"sidereal_longitude":30.2306,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":68.88,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.6494,"elapsed_within_tithi_degrees":2.6494},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":68.88,"elapsed_within_degrees":2.2133},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":99.1106},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.339,"elongation":38.649},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.339,"opposition_distance":141.351}},"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":"05:17","sunsetLocal":"18:59","solarNoonLocal":"12:08","dayLengthHours":13.704627452496474,"dayLengthDisplay":"13 Hours 42 Mins 17 Secs","nightLengthDisplay":"10 Hours 17 Mins 43 Secs","moonriseLocal":"07:27","moonsetLocal":"21:32","rahuKala":{"name":"Rāhu Kāla","start":"08:43","end":"10:25","startHours":8.711653121277115,"endHours":10.424731552839173,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:51","end":"15:34","startHours":13.850888415963293,"endHours":15.563966847525352,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:17","end":"07:00","startHours":5.285496258152996,"endHours":6.998574689715055,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:29","end":"08:56","startHours":8.483242663735506,"endHours":8.940063578818723,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:51","end":"06:13","startHours":5.856522402007016,"endHours":6.221979134073589,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:36","startHours":11.680989069318018,"endHours":12.594630899484448,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:27","end":"04:22","startHours":3.4582125978201326,"endHours":4.371854427986564,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:09","end":"05:17","startHours":4.143443970444957,"endHours":5.285496258152996,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:25","end":"15:20","startHours":14.421914559817312,"endHours":15.335556389983743,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:47","end":"19:11","startHours":18.79012371064947,"endHours":19.19012371064947,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:59","end":"19:34","startHours":18.99012371064947,"endHours":19.56114985450349,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:44","end":"20:29","startHours":18.74012371064947,"endHours":20.49012371064947,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:36","startHours":23.680989069318017,"endHours":24.59463089948445,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:17","end":"07:00","startHours":5.285496258152996,"endHours":6.998574689715055,"quality":"inauspicious"},{"name":"Śubha","start":"07:00","end":"08:43","startHours":6.998574689715055,"endHours":8.711653121277115,"quality":"auspicious"},{"name":"Roga","start":"08:43","end":"10:25","startHours":8.711653121277115,"endHours":10.424731552839173,"quality":"inauspicious"},{"name":"Udveg","start":"10:25","end":"12:08","startHours":10.424731552839173,"endHours":12.137809984401233,"quality":"inauspicious"},{"name":"Chala","start":"12:08","end":"13:51","startHours":12.137809984401233,"endHours":13.850888415963293,"quality":"neutral"},{"name":"Labha","start":"13:51","end":"15:34","startHours":13.850888415963293,"endHours":15.563966847525352,"quality":"auspicious"},{"name":"Amṛta","start":"15:34","end":"17:17","startHours":15.563966847525352,"endHours":17.27704527908741,"quality":"auspicious"},{"name":"Kāla","start":"17:17","end":"18:59","startHours":17.27704527908741,"endHours":18.99012371064947,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:59","end":"20:17","startHours":18.99012371064947,"endHours":20.27704527908741,"quality":"auspicious"},{"name":"Amṛta","start":"20:17","end":"21:34","startHours":20.27704527908741,"endHours":21.56396684752535,"quality":"auspicious"},{"name":"Kāla","start":"21:34","end":"22:51","startHours":21.56396684752535,"endHours":22.850888415963293,"quality":"inauspicious"},{"name":"Śubha","start":"22:51","end":"00:08","startHours":22.850888415963293,"endHours":24.137809984401233,"quality":"auspicious"},{"name":"Roga","start":"00:08","end":"01:25","startHours":24.137809984401233,"endHours":25.424731552839173,"quality":"inauspicious"},{"name":"Udveg","start":"01:25","end":"02:43","startHours":25.424731552839173,"endHours":26.711653121277116,"quality":"inauspicious"},{"name":"Chala","start":"02:43","end":"04:00","startHours":26.711653121277116,"endHours":27.998574689715056,"quality":"neutral"},{"name":"Labha","start":"04:00","end":"05:17","startHours":27.998574689715056,"endHours":29.285496258152996,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:17","end":"06:17","startHours":5.285496258152996,"endHours":6.285496258152996,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:17","end":"07:17","startHours":6.285496258152996,"endHours":7.285496258152996,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:17","end":"08:17","startHours":7.285496258152996,"endHours":8.285496258152996,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:17","end":"09:17","startHours":8.285496258152996,"endHours":9.285496258152996,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:17","end":"10:17","startHours":9.285496258152996,"endHours":10.285496258152996,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:17","end":"11:17","startHours":10.285496258152996,"endHours":11.285496258152996,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:17","end":"12:17","startHours":11.285496258152996,"endHours":12.285496258152996,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:17","end":"13:17","startHours":12.285496258152996,"endHours":13.285496258152996,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:17","end":"14:17","startHours":13.285496258152996,"endHours":14.285496258152996,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:17","end":"15:17","startHours":14.285496258152996,"endHours":15.285496258152996,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:17","end":"16:17","startHours":15.285496258152996,"endHours":16.285496258152996,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:17","end":"17:17","startHours":16.285496258152996,"endHours":17.285496258152996,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:17","end":"18:17","startHours":17.285496258152996,"endHours":18.285496258152996,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:17","end":"19:17","startHours":18.285496258152996,"endHours":19.285496258152996,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:17","end":"20:17","startHours":19.285496258152996,"endHours":20.285496258152996,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:17","end":"21:17","startHours":20.285496258152996,"endHours":21.285496258152996,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:17","end":"22:17","startHours":21.285496258152996,"endHours":22.285496258152996,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:17","end":"23:17","startHours":22.285496258152996,"endHours":23.285496258152996,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:17","end":"00:17","startHours":23.285496258152996,"endHours":24.285496258152996,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:17","end":"01:17","startHours":24.285496258152996,"endHours":25.285496258152996,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:17","end":"02:17","startHours":25.285496258152996,"endHours":26.285496258152996,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:17","end":"03:17","startHours":26.285496258152996,"endHours":27.285496258152996,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:17","end":"04:17","startHours":27.285496258152996,"endHours":28.285496258152996,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:17","end":"05:17","startHours":28.285496258152996,"endHours":29.285496258152996,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.88039600741566,"eotMinutes":3.7562009359260493,"ayanamsa":24.1515}},"calendars":{"vikram_samvat":2078,"vikram_samvatsara":"Ānanda","saka_samvat":1943,"saka_samvatsara":"Plava","bengali_samvat":1428,"malayalam_era":1197,"nanakshahi_year":552,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla 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":"Vṛṣabha (Vaikāsi)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Caturthī · Vikram 2078 Ānanda · Śaka 1943 Plava"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi_ingress":"Vṛṣabha"},"precedence":5},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Dedicated festival walk for Vṛṣabha Saṅkrānti · Vināyaka Caturthī (monthly) is not live yet; Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"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 15, 2021 CE · Badarīnāth · Vidhyamitra","description":"May 15, 2021 CE for Badarīnāth: Śukla Caturthī, sūryodaya 05:17, sūryāsta 18:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2021-05-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2021-05-15","sa":"https://sa.vidhyamitra.com/city/badrinath/2021-05-15","hi":"https://hi.vidhyamitra.com/city/badrinath/2021-05-15","x-default":"https://vidhyamitra.com/city/badrinath/2021-05-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T22:40:30.999Z","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":"2026-09-11T22:40:30.999Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T22:40:30.999Z","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":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}