{"id":"vidhyamitra:city-day:badrinath:-3200-04-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3200-04-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3200-04-30","date_display":"April 30, 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":4,"day":30,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":552377.770833,"kali_year":-98,"ahargana":-36087.7292,"sun":{"sidereal_longitude":72.0431,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":51.9108,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":339.8677,"elapsed_within_tithi_degrees":3.8677},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":51.9108,"elapsed_within_degrees":11.9108},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":123.9539},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"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":-3200,"month":4,"day":30,"hour":6,"minute":30,"calendar":"julian"},"julian_day":552377.770833,"ahargana":-36087.7292,"kali_year":-98,"ayanamsa_lahiri":-48.783,"grahas":{"sun":{"sidereal_longitude":72.0431,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":51.9108,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false,"latitude":3.9036},"mars":{"sidereal_longitude":130.9798,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":61.5553,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":232.1588,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":100.4607,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":232.3916,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":292.1016,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":112.1016,"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":4,"day":30,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":552377.770833,"kali_year":-98,"ahargana":-36087.7292,"sun":{"sidereal_longitude":72.0431,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":51.9108,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":339.8677,"elapsed_within_tithi_degrees":3.8677},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":51.9108,"elapsed_within_degrees":11.9108},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":123.9539},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.904,"elongation":20.132},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.904,"opposition_distance":159.868}},"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":"05:44","sunsetLocal":"18:35","solarNoonLocal":"12:09","dayLengthHours":12.855279071111873,"dayLengthDisplay":"12 Hours 51 Mins 19 Secs","nightLengthDisplay":"11 Hours 08 Mins 41 Secs","moonriseLocal":"04:43","moonsetLocal":"16:54","rahuKala":{"name":"Rāhu Kāla","start":"15:22","end":"16:58","startHours":15.36780874795793,"endHours":16.974718631846915,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:56","end":"10:33","startHours":8.940169212401994,"endHours":10.547079096290979,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:09","end":"13:46","startHours":12.153988980179964,"endHours":13.760898864068949,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:44","end":"09:09","startHours":8.725914561216797,"endHours":9.154423863587192,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:16","end":"06:36","startHours":6.261986072587021,"endHours":6.604793514483338,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:35","startHours":11.725479677809568,"endHours":12.58249828255036,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:01","end":"04:52","startHours":4.012312235142444,"endHours":4.869330839883235,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:39","end":"05:44","startHours":4.655076188698037,"endHours":5.726349444624026,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:09","startHours":14.296535492031943,"endHours":15.153554096772734,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:23","end":"18:47","startHours":18.3816285157359,"endHours":18.7816285157359,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:35","end":"19:07","startHours":18.5816285157359,"endHours":19.117265143698894,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:20","end":"20:05","startHours":18.3316285157359,"endHours":20.0816285157359,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:35","startHours":23.725479677809567,"endHours":24.58249828255036,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:44","end":"07:20","startHours":5.726349444624026,"endHours":7.3332593285130105,"quality":"inauspicious"},{"name":"Udveg","start":"07:20","end":"08:56","startHours":7.3332593285130105,"endHours":8.940169212401994,"quality":"inauspicious"},{"name":"Chala","start":"08:56","end":"10:33","startHours":8.940169212401994,"endHours":10.547079096290979,"quality":"neutral"},{"name":"Labha","start":"10:33","end":"12:09","startHours":10.547079096290979,"endHours":12.153988980179964,"quality":"auspicious"},{"name":"Amṛta","start":"12:09","end":"13:46","startHours":12.153988980179964,"endHours":13.760898864068949,"quality":"auspicious"},{"name":"Kāla","start":"13:46","end":"15:22","startHours":13.760898864068949,"endHours":15.36780874795793,"quality":"inauspicious"},{"name":"Śubha","start":"15:22","end":"16:58","startHours":15.36780874795793,"endHours":16.974718631846915,"quality":"auspicious"},{"name":"Roga","start":"16:58","end":"18:35","startHours":16.974718631846915,"endHours":18.5816285157359,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:35","end":"19:58","startHours":18.5816285157359,"endHours":19.974718631846915,"quality":"inauspicious"},{"name":"Śubha","start":"19:58","end":"21:22","startHours":19.974718631846915,"endHours":21.36780874795793,"quality":"auspicious"},{"name":"Roga","start":"21:22","end":"22:46","startHours":21.36780874795793,"endHours":22.76089886406895,"quality":"inauspicious"},{"name":"Udveg","start":"22:46","end":"00:09","startHours":22.76089886406895,"endHours":24.153988980179964,"quality":"inauspicious"},{"name":"Chala","start":"00:09","end":"01:33","startHours":24.153988980179964,"endHours":25.54707909629098,"quality":"neutral"},{"name":"Labha","start":"01:33","end":"02:56","startHours":25.54707909629098,"endHours":26.940169212401997,"quality":"auspicious"},{"name":"Amṛta","start":"02:56","end":"04:20","startHours":26.940169212401997,"endHours":28.333259328513012,"quality":"auspicious"},{"name":"Kāla","start":"04:20","end":"05:44","startHours":28.333259328513012,"endHours":29.726349444624027,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:44","end":"06:44","startHours":5.726349444624026,"endHours":6.726349444624026,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:44","end":"07:44","startHours":6.726349444624026,"endHours":7.726349444624026,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:44","end":"08:44","startHours":7.726349444624026,"endHours":8.726349444624027,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:44","end":"09:44","startHours":8.726349444624027,"endHours":9.726349444624027,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:44","end":"10:44","startHours":9.726349444624027,"endHours":10.726349444624027,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:44","end":"11:44","startHours":10.726349444624027,"endHours":11.726349444624027,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:44","end":"12:44","startHours":11.726349444624027,"endHours":12.726349444624027,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:44","end":"13:44","startHours":12.726349444624027,"endHours":13.726349444624027,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:44","end":"14:44","startHours":13.726349444624027,"endHours":14.726349444624027,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:44","end":"15:44","startHours":14.726349444624027,"endHours":15.726349444624027,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:44","end":"16:44","startHours":15.726349444624027,"endHours":16.726349444624027,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:44","end":"17:44","startHours":16.726349444624027,"endHours":17.726349444624027,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:44","end":"18:44","startHours":17.726349444624027,"endHours":18.726349444624027,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:44","end":"19:44","startHours":18.726349444624027,"endHours":19.726349444624027,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:44","end":"20:44","startHours":19.726349444624027,"endHours":20.726349444624027,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:44","end":"21:44","startHours":20.726349444624027,"endHours":21.726349444624027,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:44","end":"22:44","startHours":21.726349444624027,"endHours":22.726349444624027,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:44","end":"23:44","startHours":22.726349444624027,"endHours":23.726349444624027,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:44","end":"00:44","startHours":23.726349444624027,"endHours":24.726349444624027,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:44","end":"01:44","startHours":24.726349444624027,"endHours":25.726349444624027,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:44","end":"02:44","startHours":25.726349444624027,"endHours":26.726349444624027,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:44","end":"03:44","startHours":26.726349444624027,"endHours":27.726349444624027,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:44","end":"04:44","startHours":27.726349444624027,"endHours":28.726349444624027,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:44","end":"05:44","startHours":28.726349444624027,"endHours":29.726349444624027,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Maitra","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":9.036687138783616,"eotMinutes":2.785461189202204,"ayanamsa":-48.783}},"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 Caturdaśī · Vikram -3143 undefined · Śaka -3278 undefined"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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 Māsika Śivarātri 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 April 30, 3201 BCE · Badarīnāth · Vidhyamitra","description":"April 30, 3201 BCE for Badarīnāth: Kṛṣṇa Caturdaśī, sūryodaya 05:44, sūryāsta 18:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3200-04-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3200-04-30","sa":"https://sa.vidhyamitra.com/city/badrinath/-3200-04-30","hi":"https://hi.vidhyamitra.com/city/badrinath/-3200-04-30","x-default":"https://vidhyamitra.com/city/badrinath/-3200-04-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T21:50:20.752Z","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":"2026-08-10T21:50:20.752Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T21:50:20.752Z","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"}}}