{"id":"vidhyamitra:city-day:badrinath:-3163-01-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3163-01-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3163-01-18","date_display":"January 18, 3164 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":-3163,"month":1,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565789.770833,"kali_year":-62,"ahargana":-22675.7292,"sun":{"sidereal_longitude":333.0412,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":22.5699,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":49.5288,"elapsed_within_tithi_degrees":1.5288},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":22.5699,"elapsed_within_degrees":9.2366},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":355.6111},"karana":{"half_tithi_index":8,"name":"Bava"},"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":-3163,"month":1,"day":18,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565789.770833,"ahargana":-22675.7292,"kali_year":-62,"ayanamsa_lahiri":-48.2701,"grahas":{"sun":{"sidereal_longitude":333.0412,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":22.5699,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":4.4457},"mars":{"sidereal_longitude":351.9168,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":348.3625,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":280.0962,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"venus":{"sidereal_longitude":356.4436,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":314.328,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":301.4693,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":121.4693,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":-3163,"month":1,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565789.770833,"kali_year":-62,"ahargana":-22675.7292,"sun":{"sidereal_longitude":333.0412,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":22.5699,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":49.5288,"elapsed_within_tithi_degrees":1.5288},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":22.5699,"elapsed_within_degrees":9.2366},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":355.6111},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.446,"elongation":49.529},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.446,"opposition_distance":130.471}},"eclipse_window_40days":[{"offset_days":-18,"type":"lunar","occurs":true,"moon_latitude":-0.952,"opposition_distance":0.355}]},"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":"07:15","sunsetLocal":"17:29","solarNoonLocal":"12:22","dayLengthHours":10.231142669492032,"dayLengthDisplay":"10 Hours 13 Mins 52 Secs","nightLengthDisplay":"13 Hours 46 Mins 08 Secs","moonriseLocal":"10:02","moonsetLocal":"21:19","rahuKala":{"name":"Rāhu Kāla","start":"14:56","end":"16:13","startHours":14.93068616040117,"endHours":16.20957899408767,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:49","end":"11:06","startHours":9.815114825655153,"endHours":11.094007659341656,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:22","end":"13:39","startHours":12.372900493028162,"endHours":13.651793326714664,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"09:59","startHours":9.64459578116362,"endHours":9.985633870146687,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:41","end":"07:57","startHours":7.68362676951098,"endHours":7.956457240697434,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:43","startHours":12.031862404045095,"endHours":12.71393858201123,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:54","end":"06:35","startHours":5.893176802349874,"endHours":6.57525298031601,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:24","end":"07:15","startHours":6.404733935824476,"endHours":7.257329158282145,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:46","startHours":14.0780909379435,"endHours":14.760167115909635,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.288471827774178,"endHours":17.688471827774176,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.488471827774177,"endHours":17.914769439003013,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.238471827774177,"endHours":18.988471827774177,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:43","startHours":24.031862404045093,"endHours":24.71393858201123,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:15","end":"08:32","startHours":7.257329158282145,"endHours":8.536221991968649,"quality":"inauspicious"},{"name":"Udveg","start":"08:32","end":"09:49","startHours":8.536221991968649,"endHours":9.815114825655153,"quality":"inauspicious"},{"name":"Chala","start":"09:49","end":"11:06","startHours":9.815114825655153,"endHours":11.094007659341656,"quality":"neutral"},{"name":"Labha","start":"11:06","end":"12:22","startHours":11.094007659341656,"endHours":12.372900493028162,"quality":"auspicious"},{"name":"Amṛta","start":"12:22","end":"13:39","startHours":12.372900493028162,"endHours":13.651793326714664,"quality":"auspicious"},{"name":"Kāla","start":"13:39","end":"14:56","startHours":13.651793326714664,"endHours":14.93068616040117,"quality":"inauspicious"},{"name":"Śubha","start":"14:56","end":"16:13","startHours":14.93068616040117,"endHours":16.20957899408767,"quality":"auspicious"},{"name":"Roga","start":"16:13","end":"17:29","startHours":16.20957899408767,"endHours":17.488471827774177,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:29","end":"19:13","startHours":17.488471827774177,"endHours":19.20957899408767,"quality":"inauspicious"},{"name":"Śubha","start":"19:13","end":"20:56","startHours":19.20957899408767,"endHours":20.93068616040117,"quality":"auspicious"},{"name":"Roga","start":"20:56","end":"22:39","startHours":20.93068616040117,"endHours":22.651793326714664,"quality":"inauspicious"},{"name":"Udveg","start":"22:39","end":"00:22","startHours":22.651793326714664,"endHours":24.372900493028162,"quality":"inauspicious"},{"name":"Chala","start":"00:22","end":"02:06","startHours":24.372900493028162,"endHours":26.094007659341656,"quality":"neutral"},{"name":"Labha","start":"02:06","end":"03:49","startHours":26.094007659341656,"endHours":27.81511482565515,"quality":"auspicious"},{"name":"Amṛta","start":"03:49","end":"05:32","startHours":27.81511482565515,"endHours":29.53622199196865,"quality":"auspicious"},{"name":"Kāla","start":"05:32","end":"07:15","startHours":29.53622199196865,"endHours":31.257329158282147,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:15","end":"08:15","startHours":7.257329158282145,"endHours":8.257329158282145,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:15","end":"09:15","startHours":8.257329158282145,"endHours":9.257329158282145,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:15","end":"10:15","startHours":9.257329158282145,"endHours":10.257329158282145,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:15","end":"11:15","startHours":10.257329158282145,"endHours":11.257329158282145,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:15","end":"12:15","startHours":11.257329158282145,"endHours":12.257329158282145,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:15","end":"13:15","startHours":12.257329158282145,"endHours":13.257329158282145,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:15","end":"14:15","startHours":13.257329158282145,"endHours":14.257329158282145,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:15","end":"15:15","startHours":14.257329158282145,"endHours":15.257329158282145,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:15","end":"16:15","startHours":15.257329158282145,"endHours":16.257329158282147,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:15","end":"17:15","startHours":16.257329158282147,"endHours":17.257329158282147,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:15","end":"18:15","startHours":17.257329158282147,"endHours":18.257329158282147,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:15","end":"19:15","startHours":18.257329158282147,"endHours":19.257329158282147,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:15","end":"20:15","startHours":19.257329158282147,"endHours":20.257329158282147,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:15","end":"21:15","startHours":20.257329158282147,"endHours":21.257329158282147,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:15","end":"22:15","startHours":21.257329158282147,"endHours":22.257329158282147,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:15","end":"23:15","startHours":22.257329158282147,"endHours":23.257329158282147,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:15","end":"00:15","startHours":23.257329158282147,"endHours":24.257329158282147,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:15","end":"01:15","startHours":24.257329158282147,"endHours":25.257329158282147,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:15","end":"02:15","startHours":25.257329158282147,"endHours":26.257329158282147,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:15","end":"03:15","startHours":26.257329158282147,"endHours":27.257329158282147,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:15","end":"04:15","startHours":27.257329158282147,"endHours":28.257329158282147,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:15","end":"05:15","startHours":28.257329158282147,"endHours":29.257329158282147,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:15","end":"06:15","startHours":29.257329158282147,"endHours":30.257329158282147,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:15","end":"07:15","startHours":30.257329158282147,"endHours":31.257329158282147,"planetary_lord":"Saturn"}],"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":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Mudgara","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":-22.61818029961481,"eotMinutes":-10.349229581689698,"ayanamsa":-48.2701}},"calendars":{"vikram_samvat":-3106,"saka_samvat":-3241,"bengali_samvat":-3756,"malayalam_era":-3987,"nanakshahi_year":-4632,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla 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 Śukla Pañcamī · Vikram -3106 undefined · Śaka -3241 undefined"},"festivals":[{"id":"ramanuja-jayanti","name":"Rāmānujācārya Jayantī","name_sanskrit":"रामानुजाचार्य जयन्ती","tradition":"Vaishnava","associated_deity":"Rāmānujācārya (Viśiṣṭādvaita)","significance":"Birth of Rāmānujācārya; Viśiṣṭādvaita-pratiṣṭhāpaka. Caitra Śukla 5.","vrata":false,"detection":{"tithi_number":5,"tithi_paksha":"Śukla","lunar_month":"Caitra"},"precedence":3}],"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 Rāmānujācārya Jayantī 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 18, 3164 BCE · Badarīnāth · Vidhyamitra","description":"January 18, 3164 BCE for Badarīnāth: Śukla Pañcamī, sūryodaya 07:15, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3163-01-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3163-01-18","sa":"https://sa.vidhyamitra.com/city/badrinath/-3163-01-18","hi":"https://hi.vidhyamitra.com/city/badrinath/-3163-01-18","x-default":"https://vidhyamitra.com/city/badrinath/-3163-01-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-13T02:40:15.055Z","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":"2026-08-13T02:40:15.055Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-13T02:40:15.055Z","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"}}}