{"id":"vidhyamitra:city-day:mathura:-3145-01-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3145-01-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3145-01-14","date_display":"January 14, 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":14,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572359.770833,"kali_year":-44,"ahargana":-16105.7292,"sun":{"sidereal_longitude":328.3967,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":180.596,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":212.1993,"elapsed_within_tithi_degrees":8.1993},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":180.596,"elapsed_within_degrees":7.2627},"yoga":{"number":12,"name":"Dhruva","sum_longitude":148.9928},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":14,"hour":6,"minute":30,"calendar":"julian"},"julian_day":572359.770833,"ahargana":-16105.7292,"kali_year":-44,"ayanamsa_lahiri":-48.0188,"grahas":{"sun":{"sidereal_longitude":328.3967,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":180.596,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false,"latitude":-3.3022},"mars":{"sidereal_longitude":228.1182,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":323.937,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":97.7394,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":true},"venus":{"sidereal_longitude":12.9416,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":193.8103,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":313.359,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":133.359,"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":14,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572359.770833,"kali_year":-44,"ahargana":-16105.7292,"sun":{"sidereal_longitude":328.3967,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":180.596,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":212.1993,"elapsed_within_tithi_degrees":8.1993},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":180.596,"elapsed_within_degrees":7.2627},"yoga":{"number":12,"name":"Dhruva","sum_longitude":148.9928},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.302,"elongation":147.801},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.302,"opposition_distance":32.199}},"eclipse_window_40days":[{"offset_days":-18,"type":"solar","occurs":true,"moon_latitude":-0.174,"elongation":1.789}]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:15","sunsetLocal":"17:41","solarNoonLocal":"12:28","dayLengthHours":10.435078700987674,"dayLengthDisplay":"10 Hours 26 Mins 06 Secs","nightLengthDisplay":"13 Hours 33 Mins 54 Secs","moonriseLocal":"19:58","moonsetLocal":"09:17","rahuKala":{"name":"Rāhu Kāla","start":"09:52","end":"11:10","startHours":9.862942408075554,"endHours":11.167327245699013,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:47","end":"15:05","startHours":13.776096920945932,"endHours":15.080481758569391,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:15","end":"08:34","startHours":7.2541727328286365,"endHours":8.558557570452095,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:41","end":"10:02","startHours":9.68902442972576,"endHours":10.03686038642535,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:41","end":"07:58","startHours":7.688967678703123,"endHours":7.967236444062794,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.123876126622884,"endHours":12.819548040022061,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:34","startHours":5.8628289060302805,"endHours":6.558500819429458,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:15","startHours":6.384582841079664,"endHours":7.2541727328286365,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:54","startHours":14.210891866820418,"endHours":14.906563780219596,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:29","end":"17:53","startHours":17.48925143381631,"endHours":17.88925143381631,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:41","end":"18:07","startHours":17.68925143381631,"endHours":18.124046379690796,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:26","end":"19:11","startHours":17.43925143381631,"endHours":19.18925143381631,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.123876126622882,"endHours":24.819548040022063,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:15","end":"08:34","startHours":7.2541727328286365,"endHours":8.558557570452095,"quality":"inauspicious"},{"name":"Śubha","start":"08:34","end":"09:52","startHours":8.558557570452095,"endHours":9.862942408075554,"quality":"auspicious"},{"name":"Roga","start":"09:52","end":"11:10","startHours":9.862942408075554,"endHours":11.167327245699013,"quality":"inauspicious"},{"name":"Udveg","start":"11:10","end":"12:28","startHours":11.167327245699013,"endHours":12.471712083322473,"quality":"inauspicious"},{"name":"Chala","start":"12:28","end":"13:47","startHours":12.471712083322473,"endHours":13.776096920945932,"quality":"neutral"},{"name":"Labha","start":"13:47","end":"15:05","startHours":13.776096920945932,"endHours":15.080481758569391,"quality":"auspicious"},{"name":"Amṛta","start":"15:05","end":"16:23","startHours":15.080481758569391,"endHours":16.38486659619285,"quality":"auspicious"},{"name":"Kāla","start":"16:23","end":"17:41","startHours":16.38486659619285,"endHours":17.68925143381631,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:41","end":"19:23","startHours":17.68925143381631,"endHours":19.38486659619285,"quality":"auspicious"},{"name":"Amṛta","start":"19:23","end":"21:05","startHours":19.38486659619285,"endHours":21.08048175856939,"quality":"auspicious"},{"name":"Kāla","start":"21:05","end":"22:47","startHours":21.08048175856939,"endHours":22.776096920945932,"quality":"inauspicious"},{"name":"Śubha","start":"22:47","end":"00:28","startHours":22.776096920945932,"endHours":24.471712083322473,"quality":"auspicious"},{"name":"Roga","start":"00:28","end":"02:10","startHours":24.471712083322473,"endHours":26.167327245699013,"quality":"inauspicious"},{"name":"Udveg","start":"02:10","end":"03:52","startHours":26.167327245699013,"endHours":27.862942408075554,"quality":"inauspicious"},{"name":"Chala","start":"03:52","end":"05:34","startHours":27.862942408075554,"endHours":29.558557570452095,"quality":"neutral"},{"name":"Labha","start":"05:34","end":"07:15","startHours":29.558557570452095,"endHours":31.254172732828636,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:15","end":"08:15","startHours":7.2541727328286365,"endHours":8.254172732828636,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:15","end":"09:15","startHours":8.254172732828636,"endHours":9.254172732828636,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:15","end":"10:15","startHours":9.254172732828636,"endHours":10.254172732828636,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:15","end":"11:15","startHours":10.254172732828636,"endHours":11.254172732828636,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:15","end":"12:15","startHours":11.254172732828636,"endHours":12.254172732828636,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:15","end":"13:15","startHours":12.254172732828636,"endHours":13.254172732828636,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:15","end":"14:15","startHours":13.254172732828636,"endHours":14.254172732828636,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:15","end":"15:15","startHours":14.254172732828636,"endHours":15.254172732828636,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:15","end":"16:15","startHours":15.254172732828636,"endHours":16.254172732828636,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:15","end":"17:15","startHours":16.254172732828636,"endHours":17.254172732828636,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:15","end":"18:15","startHours":17.254172732828636,"endHours":18.254172732828636,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:15","end":"19:15","startHours":18.254172732828636,"endHours":19.254172732828636,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:15","end":"20:15","startHours":19.254172732828636,"endHours":20.254172732828636,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:15","end":"21:15","startHours":20.254172732828636,"endHours":21.254172732828636,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:15","end":"22:15","startHours":21.254172732828636,"endHours":22.254172732828636,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:15","end":"23:15","startHours":22.254172732828636,"endHours":23.254172732828636,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:15","end":"00:15","startHours":23.254172732828636,"endHours":24.254172732828636,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:15","end":"01:15","startHours":24.254172732828636,"endHours":25.254172732828636,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:15","end":"02:15","startHours":25.254172732828636,"endHours":26.254172732828636,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:15","end":"03:15","startHours":26.254172732828636,"endHours":27.254172732828636,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:15","end":"04:15","startHours":27.254172732828636,"endHours":28.254172732828636,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:15","end":"05:15","startHours":28.254172732828636,"endHours":29.254172732828636,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:15","end":"06:15","startHours":29.254172732828636,"endHours":30.254172732828636,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:15","end":"07:15","startHours":30.254172732828636,"endHours":31.254172732828636,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"East","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":-23.03080415326819,"eotMinutes":-8.99752499934842,"ayanamsa":-48.0188}},"calendars":{"vikram_samvat":-3088,"saka_samvat":-3223,"bengali_samvat":-3738,"malayalam_era":-3969,"nanakshahi_year":-4614,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Kṛṣṇa 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 Kṛṣṇa Tṛtīyā · Vikram -3088 undefined · Śaka -3223 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 14, 3146 BCE · Mathurā · Vidhyamitra","description":"January 14, 3146 BCE for Mathurā: Kṛṣṇa Tṛtīyā, sūryodaya 07:15, sūryāsta 17:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3145-01-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3145-01-14","sa":"https://sa.vidhyamitra.com/city/mathura/-3145-01-14","hi":"https://hi.vidhyamitra.com/city/mathura/-3145-01-14","x-default":"https://vidhyamitra.com/city/mathura/-3145-01-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T09:33:57.817Z","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":"2026-09-08T09:33:57.817Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T09:33:57.817Z","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":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}