{"id":"vidhyamitra:city-day:badrinath:-3130-12-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3130-12-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3130-12-14","date_display":"December 14, 3131 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":-3130,"month":12,"day":14,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":578172.770833,"kali_year":-28,"ahargana":-10292.7292,"sun":{"sidereal_longitude":296.9816,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":92.97,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.9884,"elapsed_within_tithi_degrees":11.9884},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":92.97,"elapsed_within_degrees":12.97},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":29.9517},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":-3130,"month":12,"day":14,"hour":6,"minute":30,"calendar":"julian"},"julian_day":578172.770833,"ahargana":-10292.7292,"kali_year":-28,"ayanamsa_lahiri":-47.7965,"grahas":{"sun":{"sidereal_longitude":296.9816,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":92.97,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":4.4961},"mars":{"sidereal_longitude":345.0371,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":307.4757,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":229.929,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":343.5266,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":3.2234,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":5.3583,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":185.3583,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":-3130,"month":12,"day":14,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":578172.770833,"kali_year":-28,"ahargana":-10292.7292,"sun":{"sidereal_longitude":296.9816,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":92.97,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.9884,"elapsed_within_tithi_degrees":11.9884},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":92.97,"elapsed_within_degrees":12.97},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":29.9517},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.496,"elongation":155.988},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.496,"opposition_distance":24.012}},"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":"06:58","sunsetLocal":"17:17","solarNoonLocal":"12:07","dayLengthHours":10.305657032737251,"dayLengthDisplay":"10 Hours 18 Mins 20 Secs","nightLengthDisplay":"13 Hours 41 Mins 40 Secs","moonriseLocal":"15:48","moonsetLocal":"05:15","rahuKala":{"name":"Rāhu Kāla","start":"14:42","end":"15:59","startHours":14.699561095283787,"endHours":15.987768224375944,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:33","end":"10:50","startHours":9.546732578915162,"endHours":10.834939708007319,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:07","end":"13:25","startHours":12.123146837099476,"endHours":13.411353966191632,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:22","end":"09:43","startHours":9.374971628369542,"endHours":9.718493529460783,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:24","end":"07:40","startHours":7.399720697094902,"endHours":7.674538217967895,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:28","startHours":11.779624936008235,"endHours":12.466668738190718,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:36","end":"06:17","startHours":5.596230716365882,"endHours":6.2832745185483665,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:07","end":"06:58","startHours":6.111513568002746,"endHours":6.97031832073085,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:50","end":"14:32","startHours":13.840756342555682,"endHours":14.527800144738165,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:05","end":"17:29","startHours":17.075975353468102,"endHours":17.4759753534681,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:17","end":"17:42","startHours":17.2759753534681,"endHours":17.705377729832154,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:02","end":"18:47","startHours":17.0259753534681,"endHours":18.7759753534681,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:28","startHours":23.779624936008233,"endHours":24.46666873819072,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:58","end":"08:16","startHours":6.97031832073085,"endHours":8.258525449823006,"quality":"inauspicious"},{"name":"Udveg","start":"08:16","end":"09:33","startHours":8.258525449823006,"endHours":9.546732578915162,"quality":"inauspicious"},{"name":"Chala","start":"09:33","end":"10:50","startHours":9.546732578915162,"endHours":10.834939708007319,"quality":"neutral"},{"name":"Labha","start":"10:50","end":"12:07","startHours":10.834939708007319,"endHours":12.123146837099476,"quality":"auspicious"},{"name":"Amṛta","start":"12:07","end":"13:25","startHours":12.123146837099476,"endHours":13.411353966191632,"quality":"auspicious"},{"name":"Kāla","start":"13:25","end":"14:42","startHours":13.411353966191632,"endHours":14.699561095283787,"quality":"inauspicious"},{"name":"Śubha","start":"14:42","end":"15:59","startHours":14.699561095283787,"endHours":15.987768224375944,"quality":"auspicious"},{"name":"Roga","start":"15:59","end":"17:17","startHours":15.987768224375944,"endHours":17.2759753534681,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:17","end":"18:59","startHours":17.2759753534681,"endHours":18.987768224375944,"quality":"inauspicious"},{"name":"Śubha","start":"18:59","end":"20:42","startHours":18.987768224375944,"endHours":20.69956109528379,"quality":"auspicious"},{"name":"Roga","start":"20:42","end":"22:25","startHours":20.69956109528379,"endHours":22.411353966191633,"quality":"inauspicious"},{"name":"Udveg","start":"22:25","end":"00:07","startHours":22.411353966191633,"endHours":24.123146837099476,"quality":"inauspicious"},{"name":"Chala","start":"00:07","end":"01:50","startHours":24.123146837099476,"endHours":25.83493970800732,"quality":"neutral"},{"name":"Labha","start":"01:50","end":"03:33","startHours":25.83493970800732,"endHours":27.54673257891516,"quality":"auspicious"},{"name":"Amṛta","start":"03:33","end":"05:16","startHours":27.54673257891516,"endHours":29.258525449823008,"quality":"auspicious"},{"name":"Kāla","start":"05:16","end":"06:58","startHours":29.258525449823008,"endHours":30.97031832073085,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:58","end":"07:58","startHours":6.97031832073085,"endHours":7.97031832073085,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:58","end":"08:58","startHours":7.97031832073085,"endHours":8.97031832073085,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:58","end":"09:58","startHours":8.97031832073085,"endHours":9.97031832073085,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:58","end":"10:58","startHours":9.97031832073085,"endHours":10.97031832073085,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:58","end":"11:58","startHours":10.97031832073085,"endHours":11.97031832073085,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:58","end":"12:58","startHours":11.97031832073085,"endHours":12.97031832073085,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:58","end":"13:58","startHours":12.97031832073085,"endHours":13.97031832073085,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:58","end":"14:58","startHours":13.97031832073085,"endHours":14.97031832073085,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:58","end":"15:58","startHours":14.97031832073085,"endHours":15.97031832073085,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:58","end":"16:58","startHours":15.97031832073085,"endHours":16.97031832073085,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:58","end":"17:58","startHours":16.97031832073085,"endHours":17.97031832073085,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:58","end":"18:58","startHours":17.97031832073085,"endHours":18.97031832073085,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:58","end":"19:58","startHours":18.97031832073085,"endHours":19.97031832073085,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:58","end":"20:58","startHours":19.97031832073085,"endHours":20.97031832073085,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:58","end":"21:58","startHours":20.97031832073085,"endHours":21.97031832073085,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:58","end":"22:58","startHours":21.97031832073085,"endHours":22.97031832073085,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:58","end":"23:58","startHours":22.97031832073085,"endHours":23.97031832073085,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:58","end":"00:58","startHours":23.97031832073085,"endHours":24.97031832073085,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:58","end":"01:58","startHours":24.97031832073085,"endHours":25.97031832073085,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:58","end":"02:58","startHours":25.97031832073085,"endHours":26.97031832073085,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:58","end":"03:58","startHours":26.97031832073085,"endHours":27.97031832073085,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:58","end":"04:58","startHours":27.97031832073085,"endHours":28.97031832073085,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:58","end":"05:58","startHours":28.97031832073085,"endHours":29.97031832073085,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:58","end":"06:58","startHours":29.97031832073085,"endHours":30.97031832073085,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.82505224604499,"eotMinutes":4.63598977403141,"ayanamsa":-47.7965}},"calendars":{"vikram_samvat":-3073,"saka_samvat":-3208,"bengali_samvat":-3723,"malayalam_era":-3954,"nanakshahi_year":-4599,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Trayodaśī · Vikram -3073 undefined · Śaka -3208 undefined"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 Pradoṣa Vrata 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 December 14, 3131 BCE · Badarīnāth · Vidhyamitra","description":"December 14, 3131 BCE for Badarīnāth: Śukla Trayodaśī, sūryodaya 06:58, sūryāsta 17:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3130-12-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3130-12-14","sa":"https://sa.vidhyamitra.com/city/badrinath/-3130-12-14","hi":"https://hi.vidhyamitra.com/city/badrinath/-3130-12-14","x-default":"https://vidhyamitra.com/city/badrinath/-3130-12-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T14:25:26.560Z","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":"2026-08-10T14:25:26.560Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T14:25:26.560Z","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"}}}