{"id":"vidhyamitra:city-day:badrinath:-3156-10-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3156-10-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3156-10-04","date_display":"October 4, 3157 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":-3156,"month":10,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":568605.770833,"kali_year":-54,"ahargana":-19859.7292,"sun":{"sidereal_longitude":224.9402,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":40.4419,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":175.5017,"elapsed_within_tithi_degrees":7.5017},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.4419,"elapsed_within_degrees":0.4419},"yoga":{"number":20,"name":"Śiva","sum_longitude":265.3821},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":-3156,"month":10,"day":4,"hour":6,"minute":30,"calendar":"julian"},"julian_day":568605.770833,"ahargana":-19859.7292,"kali_year":-54,"ayanamsa_lahiri":-48.1624,"grahas":{"sun":{"sidereal_longitude":224.9402,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":40.4419,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":-4.1769},"mars":{"sidereal_longitude":42.3117,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":207.7113,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":160.0917,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":223.7883,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":56.4813,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":152.264,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":332.264,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":-3156,"month":10,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":568605.770833,"kali_year":-54,"ahargana":-19859.7292,"sun":{"sidereal_longitude":224.9402,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":40.4419,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":175.5017,"elapsed_within_tithi_degrees":7.5017},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.4419,"elapsed_within_degrees":0.4419},"yoga":{"number":20,"name":"Śiva","sum_longitude":265.3821},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.177,"elongation":175.502},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.177,"opposition_distance":4.498}},"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":"05:53","sunsetLocal":"18:07","solarNoonLocal":"12:00","dayLengthHours":12.230895997059285,"dayLengthDisplay":"12 Hours 13 Mins 51 Secs","nightLengthDisplay":"11 Hours 46 Mins 09 Secs","moonriseLocal":"17:47","moonsetLocal":"05:37","rahuKala":{"name":"Rāhu Kāla","start":"13:32","end":"15:03","startHours":13.52765761317091,"endHours":15.056519612803319,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:53","end":"07:25","startHours":5.883347615008855,"endHours":7.412209614641266,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:56","end":"10:28","startHours":8.941071614273676,"endHours":10.469933613906086,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:44","end":"09:09","startHours":8.737223347656021,"endHours":9.144919880891331,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:24","end":"06:43","startHours":6.392968281552992,"endHours":6.71912550814124,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:35","end":"12:24","startHours":11.591099080303188,"endHours":12.406492146773807,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:15","end":"05:04","startHours":4.252561482067617,"endHours":5.067954548538236,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:52","end":"05:53","startHours":4.864106281920581,"endHours":5.883347615008855,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:02","end":"14:51","startHours":14.037278279715046,"endHours":14.852671346185666,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:55","end":"18:19","startHours":17.91424361206814,"endHours":18.31424361206814,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:07","end":"18:37","startHours":18.11424361206814,"endHours":18.623864278612277,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:52","end":"19:37","startHours":17.86424361206814,"endHours":19.61424361206814,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:35","end":"00:24","startHours":23.591099080303188,"endHours":24.406492146773807,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:53","end":"07:25","startHours":5.883347615008855,"endHours":7.412209614641266,"quality":"auspicious"},{"name":"Roga","start":"07:25","end":"08:56","startHours":7.412209614641266,"endHours":8.941071614273676,"quality":"inauspicious"},{"name":"Udveg","start":"08:56","end":"10:28","startHours":8.941071614273676,"endHours":10.469933613906086,"quality":"inauspicious"},{"name":"Chala","start":"10:28","end":"12:00","startHours":10.469933613906086,"endHours":11.998795613538498,"quality":"neutral"},{"name":"Labha","start":"12:00","end":"13:32","startHours":11.998795613538498,"endHours":13.52765761317091,"quality":"auspicious"},{"name":"Amṛta","start":"13:32","end":"15:03","startHours":13.52765761317091,"endHours":15.056519612803319,"quality":"auspicious"},{"name":"Kāla","start":"15:03","end":"16:35","startHours":15.056519612803319,"endHours":16.58538161243573,"quality":"inauspicious"},{"name":"Śubha","start":"16:35","end":"18:07","startHours":16.58538161243573,"endHours":18.11424361206814,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:07","end":"19:35","startHours":18.11424361206814,"endHours":19.58538161243573,"quality":"auspicious"},{"name":"Kāla","start":"19:35","end":"21:03","startHours":19.58538161243573,"endHours":21.05651961280332,"quality":"inauspicious"},{"name":"Śubha","start":"21:03","end":"22:32","startHours":21.05651961280332,"endHours":22.52765761317091,"quality":"auspicious"},{"name":"Roga","start":"22:32","end":"00:00","startHours":22.52765761317091,"endHours":23.998795613538498,"quality":"inauspicious"},{"name":"Udveg","start":"00:00","end":"01:28","startHours":23.998795613538498,"endHours":25.469933613906086,"quality":"inauspicious"},{"name":"Chala","start":"01:28","end":"02:56","startHours":25.469933613906086,"endHours":26.941071614273675,"quality":"neutral"},{"name":"Labha","start":"02:56","end":"04:25","startHours":26.941071614273675,"endHours":28.412209614641267,"quality":"auspicious"},{"name":"Amṛta","start":"04:25","end":"05:53","startHours":28.412209614641267,"endHours":29.883347615008855,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:53","end":"06:53","startHours":5.883347615008855,"endHours":6.883347615008855,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:53","end":"07:53","startHours":6.883347615008855,"endHours":7.883347615008855,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:53","end":"08:53","startHours":7.883347615008855,"endHours":8.883347615008855,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:53","end":"09:53","startHours":8.883347615008855,"endHours":9.883347615008855,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:53","end":"10:53","startHours":9.883347615008855,"endHours":10.883347615008855,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:53","end":"11:53","startHours":10.883347615008855,"endHours":11.883347615008855,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:53","end":"12:53","startHours":11.883347615008855,"endHours":12.883347615008855,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:53","end":"13:53","startHours":12.883347615008855,"endHours":13.883347615008855,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:53","end":"14:53","startHours":13.883347615008855,"endHours":14.883347615008855,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:53","end":"15:53","startHours":14.883347615008855,"endHours":15.883347615008855,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:53","end":"16:53","startHours":15.883347615008855,"endHours":16.883347615008855,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:53","end":"17:53","startHours":16.883347615008855,"endHours":17.883347615008855,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:53","end":"18:53","startHours":17.883347615008855,"endHours":18.883347615008855,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:53","end":"19:53","startHours":18.883347615008855,"endHours":19.883347615008855,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:53","end":"20:53","startHours":19.883347615008855,"endHours":20.883347615008855,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:53","end":"21:53","startHours":20.883347615008855,"endHours":21.883347615008855,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:53","end":"22:53","startHours":21.883347615008855,"endHours":22.883347615008855,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:53","end":"23:53","startHours":22.883347615008855,"endHours":23.883347615008855,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:53","end":"00:53","startHours":23.883347615008855,"endHours":24.883347615008855,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:53","end":"01:53","startHours":24.883347615008855,"endHours":25.883347615008855,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:53","end":"02:53","startHours":25.883347615008855,"endHours":26.883347615008855,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:53","end":"03:53","startHours":26.883347615008855,"endHours":27.883347615008855,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:53","end":"04:53","startHours":27.883347615008855,"endHours":28.883347615008855,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:53","end":"05:53","startHours":28.883347615008855,"endHours":29.883347615008855,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":1.2810048215196028,"eotMinutes":12.09706318769023,"ayanamsa":-48.1624}},"calendars":{"vikram_samvat":-3099,"saka_samvat":-3234,"bengali_samvat":-3749,"malayalam_era":-3980,"nanakshahi_year":-4625,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Pūrṇimā · Vikram -3099 undefined · Śaka -3234 undefined"},"festivals":[{"id":"datta-jayanti","name":"Datta Jayantī","name_sanskrit":"दत्त जयन्ती","tradition":"Pan-Hindu","associated_deity":"Dattātreya (Brahmā + Viṣṇu + Śiva combined)","significance":"Birth of Dattātreya from Atri-Anusūyā; tri-mūrti unified avatāra.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":2,"sources":["Mārkaṇḍeya Purāṇa","Bhāgavata 4.1.15"]},{"id":"annapurna-jayanti","name":"Annapūrṇā Jayantī","name_sanskrit":"अन्नपूर्णा जयन्ती","tradition":"Shakta","associated_deity":"Devī Annapūrṇā (Pārvatī as nourishing mother)","significance":"Devī Annapūrṇā's manifestation; food-grain pūjā; Mārgaśīrṣa Pūrṇimā tradition.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3,"sources":["Annapūrṇā-stotra by Śaṅkarācārya"]}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Dedicated festival walk for Datta Jayantī · Annapūrṇā Jayantī is not live yet; Guruvāra (Thursday) — 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 October 4, 3157 BCE · Badarīnāth · Vidhyamitra","description":"October 4, 3157 BCE for Badarīnāth: Śukla Pūrṇimā, sūryodaya 05:53, sūryāsta 18:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3156-10-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3156-10-04","sa":"https://sa.vidhyamitra.com/city/badrinath/-3156-10-04","hi":"https://hi.vidhyamitra.com/city/badrinath/-3156-10-04","x-default":"https://vidhyamitra.com/city/badrinath/-3156-10-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T10:39:36.985Z","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":"2026-08-12T10:39:36.985Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T10:39:36.985Z","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"}}}