{"id":"vidhyamitra:city-day:badrinath:-3221-04-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3221-04-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3221-04-13","date_display":"April 13, 3222 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":-3221,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":544689.770833,"kali_year":-119,"ahargana":-43775.7292,"sun":{"sidereal_longitude":55.3977,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":275.6427,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":220.245,"elapsed_within_tithi_degrees":4.245},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":275.6427,"elapsed_within_degrees":8.976},"yoga":{"number":25,"name":"Brahma","sum_longitude":331.0403},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":-3221,"month":4,"day":13,"hour":6,"minute":30,"calendar":"julian"},"julian_day":544689.770833,"ahargana":-43775.7292,"kali_year":-119,"ayanamsa_lahiri":-49.0771,"grahas":{"sun":{"sidereal_longitude":55.3977,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":275.6427,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false,"latitude":-4.0371},"mars":{"sidereal_longitude":87.2595,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":75.3983,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":333.1673,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":59.1894,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":333.1731,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":339.4488,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":159.4488,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"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":-3221,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":544689.770833,"kali_year":-119,"ahargana":-43775.7292,"sun":{"sidereal_longitude":55.3977,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":275.6427,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":220.245,"elapsed_within_tithi_degrees":4.245},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":275.6427,"elapsed_within_degrees":8.976},"yoga":{"number":25,"name":"Brahma","sum_longitude":331.0403},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.037,"elongation":139.755},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.037,"opposition_distance":40.245}},"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":"06:03","sunsetLocal":"18:23","solarNoonLocal":"12:13","dayLengthHours":12.328597881803056,"dayLengthDisplay":"12 Hours 19 Mins 43 Secs","nightLengthDisplay":"11 Hours 40 Mins 17 Secs","moonriseLocal":"21:32","moonsetLocal":"08:15","rahuKala":{"name":"Rāhu Kāla","start":"16:50","end":"18:23","startHours":16.83646771950455,"endHours":18.377542454729934,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:13","end":"13:45","startHours":12.213243513828406,"endHours":13.754318249053789,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:18","end":"16:50","startHours":15.29539298427917,"endHours":16.83646771950455,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:20","startHours":8.925617412014258,"endHours":9.336570674741026,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:34","end":"06:53","startHours":6.562636151335338,"endHours":6.891398761516753,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:37","startHours":11.802290251101637,"endHours":12.624196776555175,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:24","end":"05:14","startHours":4.405131522019804,"endHours":5.227038047473341,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:01","end":"06:03","startHours":5.021561416109956,"endHours":6.048944572926878,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"15:05","startHours":14.268009827462249,"endHours":15.089916352915786,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:11","end":"18:35","startHours":18.177542454729934,"endHours":18.577542454729933,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:23","end":"18:53","startHours":18.377542454729934,"endHours":18.891234033138396,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:08","end":"19:53","startHours":18.127542454729934,"endHours":19.877542454729934,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:37","startHours":23.80229025110164,"endHours":24.624196776555173,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:03","end":"07:35","startHours":6.048944572926878,"endHours":7.59001930815226,"quality":"inauspicious"},{"name":"Chala","start":"07:35","end":"09:08","startHours":7.59001930815226,"endHours":9.131094043377642,"quality":"neutral"},{"name":"Labha","start":"09:08","end":"10:40","startHours":9.131094043377642,"endHours":10.672168778603023,"quality":"auspicious"},{"name":"Amṛta","start":"10:40","end":"12:13","startHours":10.672168778603023,"endHours":12.213243513828406,"quality":"auspicious"},{"name":"Kāla","start":"12:13","end":"13:45","startHours":12.213243513828406,"endHours":13.754318249053789,"quality":"inauspicious"},{"name":"Śubha","start":"13:45","end":"15:18","startHours":13.754318249053789,"endHours":15.29539298427917,"quality":"auspicious"},{"name":"Roga","start":"15:18","end":"16:50","startHours":15.29539298427917,"endHours":16.83646771950455,"quality":"inauspicious"},{"name":"Udveg","start":"16:50","end":"18:23","startHours":16.83646771950455,"endHours":18.377542454729934,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:23","end":"19:50","startHours":18.377542454729934,"endHours":19.83646771950455,"quality":"auspicious"},{"name":"Roga","start":"19:50","end":"21:18","startHours":19.83646771950455,"endHours":21.295392984279168,"quality":"inauspicious"},{"name":"Udveg","start":"21:18","end":"22:45","startHours":21.295392984279168,"endHours":22.75431824905379,"quality":"inauspicious"},{"name":"Chala","start":"22:45","end":"00:13","startHours":22.75431824905379,"endHours":24.213243513828406,"quality":"neutral"},{"name":"Labha","start":"00:13","end":"01:40","startHours":24.213243513828406,"endHours":25.672168778603023,"quality":"auspicious"},{"name":"Amṛta","start":"01:40","end":"03:08","startHours":25.672168778603023,"endHours":27.131094043377644,"quality":"auspicious"},{"name":"Kāla","start":"03:08","end":"04:35","startHours":27.131094043377644,"endHours":28.59001930815226,"quality":"inauspicious"},{"name":"Śubha","start":"04:35","end":"06:03","startHours":28.59001930815226,"endHours":30.048944572926878,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:03","end":"07:03","startHours":6.048944572926878,"endHours":7.048944572926878,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:03","end":"08:03","startHours":7.048944572926878,"endHours":8.048944572926878,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:03","end":"09:03","startHours":8.048944572926878,"endHours":9.048944572926878,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:03","end":"10:03","startHours":9.048944572926878,"endHours":10.048944572926878,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:03","end":"11:03","startHours":10.048944572926878,"endHours":11.048944572926878,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:03","end":"12:03","startHours":11.048944572926878,"endHours":12.048944572926878,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:03","end":"13:03","startHours":12.048944572926878,"endHours":13.048944572926878,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:03","end":"14:03","startHours":13.048944572926878,"endHours":14.048944572926878,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:03","end":"15:03","startHours":14.048944572926878,"endHours":15.048944572926878,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:03","end":"16:03","startHours":15.048944572926878,"endHours":16.048944572926878,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:03","end":"17:03","startHours":16.048944572926878,"endHours":17.048944572926878,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:03","end":"18:03","startHours":17.048944572926878,"endHours":18.048944572926878,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:03","end":"19:03","startHours":18.048944572926878,"endHours":19.048944572926878,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:03","end":"20:03","startHours":19.048944572926878,"endHours":20.048944572926878,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:03","end":"21:03","startHours":20.048944572926878,"endHours":21.048944572926878,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:03","end":"22:03","startHours":21.048944572926878,"endHours":22.048944572926878,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:03","end":"23:03","startHours":22.048944572926878,"endHours":23.048944572926878,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:03","end":"00:03","startHours":23.048944572926878,"endHours":24.048944572926878,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:03","end":"01:03","startHours":24.048944572926878,"endHours":25.048944572926878,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:03","end":"02:03","startHours":25.048944572926878,"endHours":26.048944572926878,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:03","end":"03:03","startHours":26.048944572926878,"endHours":27.048944572926878,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:03","end":"04:03","startHours":27.048944572926878,"endHours":28.048944572926878,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:03","end":"05:03","startHours":28.048944572926878,"endHours":29.048944572926878,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:03","end":"06:03","startHours":29.048944572926878,"endHours":30.048944572926878,"planetary_lord":"Jupiter"}],"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":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Amṛta","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":2.5096144635258835,"eotMinutes":-0.7698108297043191,"ayanamsa":-49.0771}},"calendars":{"vikram_samvat":-3164,"saka_samvat":-3299,"bengali_samvat":-3814,"malayalam_era":-4045,"nanakshahi_year":-4690,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa 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 Kṛṣṇa Caturthī · Vikram -3164 undefined · Śaka -3299 undefined"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Dedicated festival walk for Saṅkaṣṭī Caturthī is not live yet; Ravivāra (Sunday) — 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 13, 3222 BCE · Badarīnāth · Vidhyamitra","description":"April 13, 3222 BCE for Badarīnāth: Kṛṣṇa Caturthī, sūryodaya 06:03, sūryāsta 18:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3221-04-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3221-04-13","sa":"https://sa.vidhyamitra.com/city/badrinath/-3221-04-13","hi":"https://hi.vidhyamitra.com/city/badrinath/-3221-04-13","x-default":"https://vidhyamitra.com/city/badrinath/-3221-04-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-12T08:45:24.517Z","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":"2026-09-12T08:45:24.517Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-12T08:45:24.517Z","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"}}}