{"id":"vidhyamitra:city-day:badrinath:-3145-01-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3145-01-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3145-01-18","date_display":"January 18, 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":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572363.770833,"kali_year":-44,"ahargana":-16101.7292,"sun":{"sidereal_longitude":332.3863,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":235.3706,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":262.9843,"elapsed_within_tithi_degrees":10.9843},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3,"moon_longitude":235.3706,"elapsed_within_degrees":8.704},"yoga":{"number":16,"name":"Siddhi","sum_longitude":207.757},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":18,"hour":6,"minute":30,"calendar":"julian"},"julian_day":572363.770833,"ahargana":-16101.7292,"kali_year":-44,"ayanamsa_lahiri":-48.0186,"grahas":{"sun":{"sidereal_longitude":332.3863,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":235.3706,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false,"latitude":-4.3978},"mars":{"sidereal_longitude":229.969,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":331.3137,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":97.5579,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":true},"venus":{"sidereal_longitude":15.9765,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":193.6371,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":313.1471,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":133.1471,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":-3145,"month":1,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572363.770833,"kali_year":-44,"ahargana":-16101.7292,"sun":{"sidereal_longitude":332.3863,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":235.3706,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":262.9843,"elapsed_within_tithi_degrees":10.9843},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3,"moon_longitude":235.3706,"elapsed_within_degrees":8.704},"yoga":{"number":16,"name":"Siddhi","sum_longitude":207.757},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.398,"elongation":97.016},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.398,"opposition_distance":82.984}},"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":"07:16","sunsetLocal":"17:29","solarNoonLocal":"12:22","dayLengthHours":10.227005330078141,"dayLengthDisplay":"10 Hours 13 Mins 37 Secs","nightLengthDisplay":"13 Hours 46 Mins 23 Secs","moonriseLocal":"23:59","moonsetLocal":"11:50","rahuKala":{"name":"Rāhu Kāla","start":"12:22","end":"13:39","startHours":12.372900493028162,"endHours":13.651276159287931,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:32","end":"09:49","startHours":8.53777349424886,"endHours":9.816149160508628,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:06","end":"12:22","startHours":11.094524826768396,"endHours":12.372900493028162,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"09:59","startHours":9.645699071673992,"endHours":9.986599249343264,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:41","end":"07:57","startHours":7.685523050075681,"endHours":7.958243192211098,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:43","startHours":12.032000315358891,"endHours":12.713800670697433,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:54","end":"06:35","startHours":5.895797117312007,"endHours":6.57759747265055,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:24","end":"07:16","startHours":6.407147383815914,"endHours":7.259397827989092,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:46","startHours":14.07740138137452,"endHours":14.759201736713063,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.286403158067234,"endHours":17.686403158067233,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.486403158067233,"endHours":17.912528380153823,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.236403158067233,"endHours":18.986403158067233,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:43","startHours":24.03200031535889,"endHours":24.713800670697434,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:16","end":"08:32","startHours":7.259397827989092,"endHours":8.53777349424886,"quality":"auspicious"},{"name":"Amṛta","start":"08:32","end":"09:49","startHours":8.53777349424886,"endHours":9.816149160508628,"quality":"auspicious"},{"name":"Kāla","start":"09:49","end":"11:06","startHours":9.816149160508628,"endHours":11.094524826768396,"quality":"inauspicious"},{"name":"Śubha","start":"11:06","end":"12:22","startHours":11.094524826768396,"endHours":12.372900493028162,"quality":"auspicious"},{"name":"Roga","start":"12:22","end":"13:39","startHours":12.372900493028162,"endHours":13.651276159287931,"quality":"inauspicious"},{"name":"Udveg","start":"13:39","end":"14:56","startHours":13.651276159287931,"endHours":14.929651825547698,"quality":"inauspicious"},{"name":"Chala","start":"14:56","end":"16:12","startHours":14.929651825547698,"endHours":16.208027491807464,"quality":"neutral"},{"name":"Labha","start":"16:12","end":"17:29","startHours":16.208027491807464,"endHours":17.486403158067233,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:29","end":"19:12","startHours":17.486403158067233,"endHours":19.208027491807467,"quality":"inauspicious"},{"name":"Chala","start":"19:12","end":"20:56","startHours":19.208027491807467,"endHours":20.929651825547698,"quality":"neutral"},{"name":"Labha","start":"20:56","end":"22:39","startHours":20.929651825547698,"endHours":22.65127615928793,"quality":"auspicious"},{"name":"Amṛta","start":"22:39","end":"00:22","startHours":22.65127615928793,"endHours":24.372900493028162,"quality":"auspicious"},{"name":"Kāla","start":"00:22","end":"02:06","startHours":24.372900493028162,"endHours":26.094524826768396,"quality":"inauspicious"},{"name":"Śubha","start":"02:06","end":"03:49","startHours":26.094524826768396,"endHours":27.81614916050863,"quality":"auspicious"},{"name":"Roga","start":"03:49","end":"05:32","startHours":27.81614916050863,"endHours":29.53777349424886,"quality":"inauspicious"},{"name":"Udveg","start":"05:32","end":"07:16","startHours":29.53777349424886,"endHours":31.25939782798909,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:16","end":"08:16","startHours":7.259397827989092,"endHours":8.259397827989092,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:16","end":"09:16","startHours":8.259397827989092,"endHours":9.259397827989092,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:16","end":"10:16","startHours":9.259397827989092,"endHours":10.259397827989092,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:16","end":"11:16","startHours":10.259397827989092,"endHours":11.259397827989092,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:16","end":"12:16","startHours":11.259397827989092,"endHours":12.259397827989092,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:16","end":"13:16","startHours":12.259397827989092,"endHours":13.259397827989092,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:16","end":"14:16","startHours":13.259397827989092,"endHours":14.259397827989092,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:16","end":"15:16","startHours":14.259397827989092,"endHours":15.259397827989092,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:16","end":"16:16","startHours":15.259397827989092,"endHours":16.25939782798909,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:16","end":"17:16","startHours":16.25939782798909,"endHours":17.25939782798909,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:16","end":"18:16","startHours":17.25939782798909,"endHours":18.25939782798909,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:16","end":"19:16","startHours":18.25939782798909,"endHours":19.25939782798909,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:16","end":"20:16","startHours":19.25939782798909,"endHours":20.25939782798909,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:16","end":"21:16","startHours":20.25939782798909,"endHours":21.25939782798909,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:16","end":"22:16","startHours":21.25939782798909,"endHours":22.25939782798909,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:16","end":"23:16","startHours":22.25939782798909,"endHours":23.25939782798909,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:16","end":"00:16","startHours":23.25939782798909,"endHours":24.25939782798909,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:16","end":"01:16","startHours":24.25939782798909,"endHours":25.25939782798909,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:16","end":"02:16","startHours":25.25939782798909,"endHours":26.25939782798909,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:16","end":"03:16","startHours":26.25939782798909,"endHours":27.25939782798909,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:16","end":"04:16","startHours":27.25939782798909,"endHours":28.25939782798909,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:16","end":"05:16","startHours":28.25939782798909,"endHours":29.25939782798909,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:16","end":"06:16","startHours":29.25939782798909,"endHours":30.25939782798909,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:16","end":"07:16","startHours":30.25939782798909,"endHours":31.25939782798909,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"South-West","anandadiYoga":{"name":"Kāladaṇḍa","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":-22.661910407740205,"eotMinutes":-10.349229581689698,"ayanamsa":-48.0186}},"calendars":{"vikram_samvat":-3088,"saka_samvat":-3223,"bengali_samvat":-3738,"malayalam_era":-3969,"nanakshahi_year":-4614,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Saptamī · Vikram -3088 undefined · Śaka -3223 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 18, 3146 BCE · Badarīnāth · Vidhyamitra","description":"January 18, 3146 BCE for Badarīnāth: Kṛṣṇa Saptamī, sūryodaya 07:16, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3145-01-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3145-01-18","sa":"https://sa.vidhyamitra.com/city/badrinath/-3145-01-18","hi":"https://hi.vidhyamitra.com/city/badrinath/-3145-01-18","x-default":"https://vidhyamitra.com/city/badrinath/-3145-01-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T11:18:17.497Z","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":"2026-08-12T11:18:17.497Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T11:18:17.497Z","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"}}}