{"id":"vidhyamitra:city-day:mathura:-3226-09-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3226-09-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3226-09-12","date_display":"September 12, 3227 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":-3226,"month":9,"day":12,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":543015.770833,"kali_year":-124,"ahargana":-45449.7292,"sun":{"sidereal_longitude":202.7017,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":172.2702,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":329.5685,"elapsed_within_tithi_degrees":5.5685},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":172.2702,"elapsed_within_degrees":12.2702},"yoga":{"number":2,"name":"Prīti","sum_longitude":14.9719},"karana":{"half_tithi_index":54,"name":"Gara"},"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":-3226,"month":9,"day":12,"hour":6,"minute":30,"calendar":"julian"},"julian_day":543015.770833,"ahargana":-45449.7292,"kali_year":-124,"ayanamsa_lahiri":-49.1411,"grahas":{"sun":{"sidereal_longitude":202.7017,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":172.2702,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":4.3637},"mars":{"sidereal_longitude":265.02,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":187.2306,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":184.3274,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":228.0387,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":268.8506,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":68.1454,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":248.1454,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"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":-3226,"month":9,"day":12,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":543015.770833,"kali_year":-124,"ahargana":-45449.7292,"sun":{"sidereal_longitude":202.7017,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":172.2702,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":329.5685,"elapsed_within_tithi_degrees":5.5685},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":172.2702,"elapsed_within_degrees":12.2702},"yoga":{"number":2,"name":"Prīti","sum_longitude":14.9719},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.364,"elongation":30.431},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.364,"opposition_distance":149.569}},"eclipse_window_40days":[]},"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":"05:50","sunsetLocal":"18:40","solarNoonLocal":"12:15","dayLengthHours":12.844269493048104,"dayLengthDisplay":"12 Hours 50 Mins 39 Secs","nightLengthDisplay":"11 Hours 09 Mins 21 Secs","moonriseLocal":"03:28","moonsetLocal":"16:58","rahuKala":{"name":"Rāhu Kāla","start":"09:02","end":"10:39","startHours":9.037627367604882,"endHours":10.643161054235897,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:51","end":"15:28","startHours":13.854228427497922,"endHours":15.459762114128935,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:50","end":"07:26","startHours":5.8265599943428565,"endHours":7.432093680973869,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:15","startHours":8.823556209387414,"endHours":9.251698525822352,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:42","startHours":6.361737889886528,"endHours":6.704251743034478,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:41","startHours":11.820552424431973,"endHours":12.676837057301846,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:07","end":"04:58","startHours":4.11399072860311,"endHours":4.970275361472983,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:45","end":"05:50","startHours":4.756204203255514,"endHours":5.8265599943428565,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:15","startHours":14.389406323041593,"endHours":15.245690955911467,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:28","end":"18:52","startHours":18.47082948739096,"endHours":18.87082948739096,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:40","end":"19:12","startHours":18.67082948739096,"endHours":19.206007382934633,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:25","end":"20:10","startHours":18.42082948739096,"endHours":20.17082948739096,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:41","startHours":23.820552424431973,"endHours":24.676837057301846,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:50","end":"07:26","startHours":5.8265599943428565,"endHours":7.432093680973869,"quality":"inauspicious"},{"name":"Śubha","start":"07:26","end":"09:02","startHours":7.432093680973869,"endHours":9.037627367604882,"quality":"auspicious"},{"name":"Roga","start":"09:02","end":"10:39","startHours":9.037627367604882,"endHours":10.643161054235897,"quality":"inauspicious"},{"name":"Udveg","start":"10:39","end":"12:15","startHours":10.643161054235897,"endHours":12.24869474086691,"quality":"inauspicious"},{"name":"Chala","start":"12:15","end":"13:51","startHours":12.24869474086691,"endHours":13.854228427497922,"quality":"neutral"},{"name":"Labha","start":"13:51","end":"15:28","startHours":13.854228427497922,"endHours":15.459762114128935,"quality":"auspicious"},{"name":"Amṛta","start":"15:28","end":"17:04","startHours":15.459762114128935,"endHours":17.065295800759948,"quality":"auspicious"},{"name":"Kāla","start":"17:04","end":"18:40","startHours":17.065295800759948,"endHours":18.67082948739096,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:40","end":"20:04","startHours":18.67082948739096,"endHours":20.065295800759948,"quality":"auspicious"},{"name":"Amṛta","start":"20:04","end":"21:28","startHours":20.065295800759948,"endHours":21.459762114128935,"quality":"auspicious"},{"name":"Kāla","start":"21:28","end":"22:51","startHours":21.459762114128935,"endHours":22.854228427497922,"quality":"inauspicious"},{"name":"Śubha","start":"22:51","end":"00:15","startHours":22.854228427497922,"endHours":24.24869474086691,"quality":"auspicious"},{"name":"Roga","start":"00:15","end":"01:39","startHours":24.24869474086691,"endHours":25.643161054235897,"quality":"inauspicious"},{"name":"Udveg","start":"01:39","end":"03:02","startHours":25.643161054235897,"endHours":27.037627367604884,"quality":"inauspicious"},{"name":"Chala","start":"03:02","end":"04:26","startHours":27.037627367604884,"endHours":28.43209368097387,"quality":"neutral"},{"name":"Labha","start":"04:26","end":"05:50","startHours":28.43209368097387,"endHours":29.82655999434286,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.8265599943428565,"endHours":6.8265599943428565,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.8265599943428565,"endHours":7.8265599943428565,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.8265599943428565,"endHours":8.826559994342857,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.826559994342857,"endHours":9.826559994342857,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.826559994342857,"endHours":10.826559994342857,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.826559994342857,"endHours":11.826559994342857,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.826559994342857,"endHours":12.826559994342857,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.826559994342857,"endHours":13.826559994342857,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.826559994342857,"endHours":14.826559994342857,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.826559994342857,"endHours":15.826559994342857,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.826559994342857,"endHours":16.82655999434286,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.82655999434286,"endHours":17.82655999434286,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.82655999434286,"endHours":18.82655999434286,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.82655999434286,"endHours":19.82655999434286,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.82655999434286,"endHours":20.82655999434286,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.82655999434286,"endHours":21.82655999434286,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.82655999434286,"endHours":22.82655999434286,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.82655999434286,"endHours":23.82655999434286,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.82655999434286,"endHours":24.82655999434286,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.82655999434286,"endHours":25.82655999434286,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.82655999434286,"endHours":26.82655999434286,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.82655999434286,"endHours":27.82655999434286,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.82655999434286,"endHours":28.82655999434286,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.82655999434286,"endHours":29.82655999434286,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":10.200351814192883,"eotMinutes":4.383515547985428,"ayanamsa":-49.1411}},"calendars":{"vikram_samvat":-3169,"saka_samvat":-3304,"bengali_samvat":-3819,"malayalam_era":-4050,"nanakshahi_year":-4695,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Trayodaśī · Vikram -3169 undefined · Śaka -3304 undefined"},"festivals":[{"id":"dhanteras","name":"Dhanteras (Dhanvantari Jayantī)","name_sanskrit":"धनतेरस / धन्वन्तरि जयन्ती","tradition":"Pan-Hindu","associated_deity":"Dhanvantari (Āyurveda-deva, avatāra of Viṣṇu)","significance":"Birth of Dhanvantari from samudra-mathana with amṛta-kalaśa. Day 1 of Diwali.","vrata":true,"detection":{"tithi_number":28,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":2,"sources":["Bhāgavata 8.8.32-34"]},{"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":"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":"Dedicated festival walk for Dhanteras (Dhanvantari Jayantī) · Pradoṣa Vrata is not live yet; 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 September 12, 3227 BCE · Mathurā · Vidhyamitra","description":"September 12, 3227 BCE for Mathurā: Kṛṣṇa Trayodaśī, sūryodaya 05:50, sūryāsta 18:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3226-09-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3226-09-12","sa":"https://sa.vidhyamitra.com/city/mathura/-3226-09-12","hi":"https://hi.vidhyamitra.com/city/mathura/-3226-09-12","x-default":"https://vidhyamitra.com/city/mathura/-3226-09-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T14:17:48.671Z","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":"2026-08-10T14:17:48.671Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T14:17:48.671Z","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"}}}