{"id":"vidhyamitra:city-day:badrinath:-3121-03-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3121-03-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3121-03-29","date_display":"March 29, 3122 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":-3121,"month":3,"day":29,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":581199.770833,"kali_year":-19,"ahargana":-7265.7292,"sun":{"sidereal_longitude":40.2946,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":21.0428,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":340.7482,"elapsed_within_tithi_degrees":4.7482},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":21.0428,"elapsed_within_degrees":7.7095},"yoga":{"number":5,"name":"Śobhana","sum_longitude":61.3374},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"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":-3121,"month":3,"day":29,"hour":6,"minute":30,"calendar":"julian"},"julian_day":581199.770833,"ahargana":-7265.7292,"kali_year":-19,"ayanamsa_lahiri":-47.6807,"grahas":{"sun":{"sidereal_longitude":40.2946,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":21.0428,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":0.3081},"mars":{"sidereal_longitude":113.3994,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":61.274,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":109.5182,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":3.996,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":118.469,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":204.9733,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":24.9733,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":-3121,"month":3,"day":29,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":581199.770833,"kali_year":-19,"ahargana":-7265.7292,"sun":{"sidereal_longitude":40.2946,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":21.0428,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":340.7482,"elapsed_within_tithi_degrees":4.7482},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":21.0428,"elapsed_within_degrees":7.7095},"yoga":{"number":5,"name":"Śobhana","sum_longitude":61.3374},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.308,"elongation":19.252},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.308,"opposition_distance":160.748}},"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":"06:20","sunsetLocal":"18:14","solarNoonLocal":"12:17","dayLengthHours":11.896759112439895,"dayLengthDisplay":"11 Hours 53 Mins 48 Secs","nightLengthDisplay":"12 Hours 06 Mins 12 Secs","moonriseLocal":"05:22","moonsetLocal":"16:38","rahuKala":{"name":"Rāhu Kāla","start":"10:48","end":"12:17","startHours":10.801651940061298,"endHours":12.288746829116285,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:16","end":"16:45","startHours":15.262936607226258,"endHours":16.750031496281245,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:50","end":"09:19","startHours":7.827462161951325,"endHours":9.314557051006311,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:07","end":"09:31","startHours":9.116277732465647,"endHours":9.512836369546976,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:50","end":"07:09","startHours":6.836065569248,"endHours":7.153312478913064,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:41","startHours":11.892188192034954,"endHours":12.685305466197615,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:45","end":"05:33","startHours":4.7541327245710185,"endHours":5.547249998733679,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:21","end":"06:20","startHours":5.3489706801930135,"endHours":6.340367272896338,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"15:04","startHours":14.271540014522934,"endHours":15.064657288685593,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:02","end":"18:26","startHours":18.037126385336233,"endHours":18.43712638533623,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:14","end":"18:44","startHours":18.237126385336232,"endHours":18.732824681687894,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:59","end":"19:44","startHours":17.987126385336232,"endHours":19.737126385336232,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:41","startHours":23.892188192034954,"endHours":24.685305466197615,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:20","end":"07:50","startHours":6.340367272896338,"endHours":7.827462161951325,"quality":"neutral"},{"name":"Labha","start":"07:50","end":"09:19","startHours":7.827462161951325,"endHours":9.314557051006311,"quality":"auspicious"},{"name":"Amṛta","start":"09:19","end":"10:48","startHours":9.314557051006311,"endHours":10.801651940061298,"quality":"auspicious"},{"name":"Kāla","start":"10:48","end":"12:17","startHours":10.801651940061298,"endHours":12.288746829116285,"quality":"inauspicious"},{"name":"Śubha","start":"12:17","end":"13:47","startHours":12.288746829116285,"endHours":13.775841718171272,"quality":"auspicious"},{"name":"Roga","start":"13:47","end":"15:16","startHours":13.775841718171272,"endHours":15.262936607226258,"quality":"inauspicious"},{"name":"Udveg","start":"15:16","end":"16:45","startHours":15.262936607226258,"endHours":16.750031496281245,"quality":"inauspicious"},{"name":"Chala","start":"16:45","end":"18:14","startHours":16.750031496281245,"endHours":18.237126385336232,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:14","end":"19:45","startHours":18.237126385336232,"endHours":19.750031496281245,"quality":"inauspicious"},{"name":"Udveg","start":"19:45","end":"21:16","startHours":19.750031496281245,"endHours":21.26293660722626,"quality":"inauspicious"},{"name":"Chala","start":"21:16","end":"22:47","startHours":21.26293660722626,"endHours":22.77584171817127,"quality":"neutral"},{"name":"Labha","start":"22:47","end":"00:17","startHours":22.77584171817127,"endHours":24.288746829116285,"quality":"auspicious"},{"name":"Amṛta","start":"00:17","end":"01:48","startHours":24.288746829116285,"endHours":25.801651940061298,"quality":"auspicious"},{"name":"Kāla","start":"01:48","end":"03:19","startHours":25.801651940061298,"endHours":27.31455705100631,"quality":"inauspicious"},{"name":"Śubha","start":"03:19","end":"04:50","startHours":27.31455705100631,"endHours":28.827462161951324,"quality":"auspicious"},{"name":"Roga","start":"04:50","end":"06:20","startHours":28.827462161951324,"endHours":30.340367272896337,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:20","end":"07:20","startHours":6.340367272896338,"endHours":7.340367272896338,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:20","end":"08:20","startHours":7.340367272896338,"endHours":8.340367272896337,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:20","end":"09:20","startHours":8.340367272896337,"endHours":9.340367272896337,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:20","end":"10:20","startHours":9.340367272896337,"endHours":10.340367272896337,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:20","end":"11:20","startHours":10.340367272896337,"endHours":11.340367272896337,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:20","end":"12:20","startHours":11.340367272896337,"endHours":12.340367272896337,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:20","end":"13:20","startHours":12.340367272896337,"endHours":13.340367272896337,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:20","end":"14:20","startHours":13.340367272896337,"endHours":14.340367272896337,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:20","end":"15:20","startHours":14.340367272896337,"endHours":15.340367272896337,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:20","end":"16:20","startHours":15.340367272896337,"endHours":16.340367272896337,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:20","end":"17:20","startHours":16.340367272896337,"endHours":17.340367272896337,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:20","end":"18:20","startHours":17.340367272896337,"endHours":18.340367272896337,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:20","end":"19:20","startHours":18.340367272896337,"endHours":19.340367272896337,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:20","end":"20:20","startHours":19.340367272896337,"endHours":20.340367272896337,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:20","end":"21:20","startHours":20.340367272896337,"endHours":21.340367272896337,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:20","end":"22:20","startHours":21.340367272896337,"endHours":22.340367272896337,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:20","end":"23:20","startHours":22.340367272896337,"endHours":23.340367272896337,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:20","end":"00:20","startHours":23.340367272896337,"endHours":24.340367272896337,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:20","end":"01:20","startHours":24.340367272896337,"endHours":25.340367272896337,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:20","end":"02:20","startHours":25.340367272896337,"endHours":26.340367272896337,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:20","end":"03:20","startHours":26.340367272896337,"endHours":27.340367272896337,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:20","end":"04:20","startHours":27.340367272896337,"endHours":28.340367272896337,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:20","end":"05:20","startHours":28.340367272896337,"endHours":29.340367272896337,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:20","end":"06:20","startHours":29.340367272896337,"endHours":30.340367272896337,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"undefined (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-2.9308399204992432,"eotMinutes":-5.300009746977087,"ayanamsa":-47.6807}},"calendars":{"vikram_samvat":-3064,"saka_samvat":-3199,"bengali_samvat":-3714,"malayalam_era":-3945,"nanakshahi_year":-4590,"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 Caturdaśī · Vikram -3064 undefined · Śaka -3199 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":"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":"Dedicated festival walk for Māsika Śivarātri is not live yet; 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 29, 3122 BCE · Badarīnāth · Vidhyamitra","description":"March 29, 3122 BCE for Badarīnāth: Kṛṣṇa Caturdaśī, sūryodaya 06:20, sūryāsta 18:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3121-03-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3121-03-29","sa":"https://sa.vidhyamitra.com/city/badrinath/-3121-03-29","hi":"https://hi.vidhyamitra.com/city/badrinath/-3121-03-29","x-default":"https://vidhyamitra.com/city/badrinath/-3121-03-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-14T00:43:26.194Z","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":"2026-08-14T00:43:26.194Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-14T00:43:26.194Z","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"}}}