{"id":"vidhyamitra:city-day:badrinath:-3145-01-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3145-01-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3145-01-10","date_display":"January 10, 3146 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":-3145,"month":1,"day":10,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572355.770833,"kali_year":-44,"ahargana":-16109.7292,"sun":{"sidereal_longitude":324.3961,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":128.4952,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":164.0991,"elapsed_within_tithi_degrees":8.0991},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.4952,"elapsed_within_degrees":8.4952},"yoga":{"number":7,"name":"Sukarma","sum_longitude":92.8914},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"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":-3145,"month":1,"day":10,"hour":6,"minute":30,"calendar":"julian"},"julian_day":572355.770833,"ahargana":-16109.7292,"kali_year":-44,"ayanamsa_lahiri":-48.0189,"grahas":{"sun":{"sidereal_longitude":324.3961,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":128.4952,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":0.3977},"mars":{"sidereal_longitude":226.217,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":316.5639,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":97.971,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":true},"venus":{"sidereal_longitude":9.6698,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":193.9586,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":313.571,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":133.571,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"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":-3145,"month":1,"day":10,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572355.770833,"kali_year":-44,"ahargana":-16109.7292,"sun":{"sidereal_longitude":324.3961,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":128.4952,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":164.0991,"elapsed_within_tithi_degrees":8.0991},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.4952,"elapsed_within_degrees":8.4952},"yoga":{"number":7,"name":"Sukarma","sum_longitude":92.8914},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.398,"elongation":164.099},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.398,"opposition_distance":15.901}},"eclipse_window_40days":[{"offset_days":-14,"type":"solar","occurs":true,"moon_latitude":-0.174,"elongation":1.789}]},"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":"07:14","sunsetLocal":"17:25","solarNoonLocal":"12:20","dayLengthHours":10.167915549822283,"dayLengthDisplay":"10 Hours 10 Mins 04 Secs","nightLengthDisplay":"13 Hours 49 Mins 56 Secs","moonriseLocal":"16:14","moonsetLocal":"06:18","rahuKala":{"name":"Rāhu Kāla","start":"14:52","end":"16:08","startHours":14.867380951198339,"endHours":16.138370394926124,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:47","end":"11:03","startHours":9.783423176287197,"endHours":11.054412620014983,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:20","end":"13:36","startHours":12.325402063742768,"endHours":13.596391507470553,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:57","startHours":9.613957917123493,"endHours":9.952888435450902,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:56","startHours":7.665107436740888,"endHours":7.936251851402815,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:40","startHours":11.986471545415359,"endHours":12.664332582070177,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:53","end":"06:34","startHours":5.885722215521988,"endHours":6.563583252176807,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:24","end":"07:14","startHours":6.3941179930131025,"endHours":7.241444288831626,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:42","startHours":14.020054655379814,"endHours":14.697915692034634,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:13","end":"17:37","startHours":17.20935983865391,"endHours":17.60935983865391,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:25","end":"17:50","startHours":17.40935983865391,"endHours":17.833022986563172,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:10","end":"18:55","startHours":17.15935983865391,"endHours":18.90935983865391,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:40","startHours":23.98647154541536,"endHours":24.664332582070177,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:14","end":"08:31","startHours":7.241444288831626,"endHours":8.512433732559412,"quality":"inauspicious"},{"name":"Udveg","start":"08:31","end":"09:47","startHours":8.512433732559412,"endHours":9.783423176287197,"quality":"inauspicious"},{"name":"Chala","start":"09:47","end":"11:03","startHours":9.783423176287197,"endHours":11.054412620014983,"quality":"neutral"},{"name":"Labha","start":"11:03","end":"12:20","startHours":11.054412620014983,"endHours":12.325402063742768,"quality":"auspicious"},{"name":"Amṛta","start":"12:20","end":"13:36","startHours":12.325402063742768,"endHours":13.596391507470553,"quality":"auspicious"},{"name":"Kāla","start":"13:36","end":"14:52","startHours":13.596391507470553,"endHours":14.867380951198339,"quality":"inauspicious"},{"name":"Śubha","start":"14:52","end":"16:08","startHours":14.867380951198339,"endHours":16.138370394926124,"quality":"auspicious"},{"name":"Roga","start":"16:08","end":"17:25","startHours":16.138370394926124,"endHours":17.40935983865391,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:25","end":"19:08","startHours":17.40935983865391,"endHours":19.138370394926124,"quality":"inauspicious"},{"name":"Śubha","start":"19:08","end":"20:52","startHours":19.138370394926124,"endHours":20.86738095119834,"quality":"auspicious"},{"name":"Roga","start":"20:52","end":"22:36","startHours":20.86738095119834,"endHours":22.596391507470553,"quality":"inauspicious"},{"name":"Udveg","start":"22:36","end":"00:20","startHours":22.596391507470553,"endHours":24.325402063742768,"quality":"inauspicious"},{"name":"Chala","start":"00:20","end":"02:03","startHours":24.325402063742768,"endHours":26.054412620014983,"quality":"neutral"},{"name":"Labha","start":"02:03","end":"03:47","startHours":26.054412620014983,"endHours":27.783423176287197,"quality":"auspicious"},{"name":"Amṛta","start":"03:47","end":"05:31","startHours":27.783423176287197,"endHours":29.512433732559412,"quality":"auspicious"},{"name":"Kāla","start":"05:31","end":"07:14","startHours":29.512433732559412,"endHours":31.241444288831627,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.241444288831626,"endHours":8.241444288831627,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.241444288831627,"endHours":9.241444288831627,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.241444288831627,"endHours":10.241444288831627,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.241444288831627,"endHours":11.241444288831627,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.241444288831627,"endHours":12.241444288831627,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.241444288831627,"endHours":13.241444288831627,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.241444288831627,"endHours":14.241444288831627,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.241444288831627,"endHours":15.241444288831627,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.241444288831627,"endHours":16.241444288831627,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.241444288831627,"endHours":17.241444288831627,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.241444288831627,"endHours":18.241444288831627,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.241444288831627,"endHours":19.241444288831627,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.241444288831627,"endHours":20.241444288831627,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.241444288831627,"endHours":21.241444288831627,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.241444288831627,"endHours":22.241444288831627,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.241444288831627,"endHours":23.241444288831627,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.241444288831627,"endHours":24.241444288831627,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.241444288831627,"endHours":25.241444288831627,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.241444288831627,"endHours":26.241444288831627,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.241444288831627,"endHours":27.241444288831627,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.241444288831627,"endHours":28.241444288831627,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.241444288831627,"endHours":29.241444288831627,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.241444288831627,"endHours":30.241444288831627,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.241444288831627,"endHours":31.241444288831627,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.28289987309304,"eotMinutes":-7.499323824565993,"ayanamsa":-48.0189}},"calendars":{"vikram_samvat":-3088,"saka_samvat":-3223,"bengali_samvat":-3738,"malayalam_era":-3969,"nanakshahi_year":-4614,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Phālguna","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Śukla Caturdaśī · Vikram -3088 undefined · Śaka -3223 undefined"},"festivals":[{"id":"holika-dahana","name":"Holikā Dahana","name_sanskrit":"होलिका दहन","tradition":"Vaishnava","associated_deity":"Bhagavān Narasiṁha (Prahlāda-rakṣaka)","significance":"Burning of Holikā; Prahlāda saved by Hari. Eve of Holi.","vrata":true,"detection":{"tithi_number":14,"tithi_paksha":"Śukla","lunar_month":"Phālguna"},"precedence":2,"sources":["Bhāgavata 7.5"]}],"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 Holikā Dahana 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 January 10, 3146 BCE · Badarīnāth · Vidhyamitra","description":"January 10, 3146 BCE for Badarīnāth: Śukla Caturdaśī, sūryodaya 07:14, sūryāsta 17:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3145-01-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3145-01-10","sa":"https://sa.vidhyamitra.com/city/badrinath/-3145-01-10","hi":"https://hi.vidhyamitra.com/city/badrinath/-3145-01-10","x-default":"https://vidhyamitra.com/city/badrinath/-3145-01-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T08:04:13.667Z","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":"2026-08-11T08:04:13.667Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T08:04:13.667Z","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"}}}