{"id":"vidhyamitra:city-day:mathura:-3226-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3226-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3226-09-13","date_display":"September 13, 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":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":543016.770833,"kali_year":-124,"ahargana":-45448.7292,"sun":{"sidereal_longitude":203.712,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":185.8997,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":342.1877,"elapsed_within_tithi_degrees":6.1877},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":185.8997,"elapsed_within_degrees":12.5664},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":29.6117},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":13,"hour":6,"minute":30,"calendar":"julian"},"julian_day":543016.770833,"ahargana":-45448.7292,"kali_year":-124,"ayanamsa_lahiri":-49.1411,"grahas":{"sun":{"sidereal_longitude":203.712,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":185.8997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":3.9795},"mars":{"sidereal_longitude":265.7528,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":188.6364,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":184.5403,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":229.2871,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":268.9205,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":68.0924,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":248.0924,"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":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":543016.770833,"kali_year":-124,"ahargana":-45448.7292,"sun":{"sidereal_longitude":203.712,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":185.8997,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":342.1877,"elapsed_within_tithi_degrees":6.1877},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":185.8997,"elapsed_within_degrees":12.5664},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":29.6117},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.979,"elongation":17.812},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.979,"opposition_distance":162.188}},"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":"18:39","solarNoonLocal":"12:15","dayLengthHours":12.817712659432864,"dayLengthDisplay":"12 Hours 49 Mins 04 Secs","nightLengthDisplay":"11 Hours 10 Mins 56 Secs","moonriseLocal":"04:27","moonsetLocal":"17:40","rahuKala":{"name":"Rāhu Kāla","start":"17:03","end":"18:39","startHours":17.049164398456224,"endHours":18.65137848088533,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:15","end":"13:51","startHours":12.242522151168899,"endHours":13.844736233598006,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:27","end":"17:03","startHours":15.446950316027117,"endHours":17.049164398456224,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:15","startHours":8.824465441986803,"endHours":9.251722530634565,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:43","startHours":6.367737182262171,"endHours":6.7095428531803805,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:40","startHours":11.815265062521137,"endHours":12.66977923981666,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:07","end":"04:59","startHours":4.124637466861419,"endHours":4.979151644156944,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:46","end":"05:50","startHours":4.765523099833063,"endHours":5.833665821452468,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:14","startHours":14.37880759440771,"endHours":15.233321771703235,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:27","end":"18:51","startHours":18.45137848088533,"endHours":18.85137848088533,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:39","end":"19:11","startHours":18.65137848088533,"endHours":19.185449841695032,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:24","end":"20:09","startHours":18.40137848088533,"endHours":20.15137848088533,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:40","startHours":23.815265062521135,"endHours":24.669779239816663,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:50","end":"07:26","startHours":5.833665821452468,"endHours":7.435879903881576,"quality":"inauspicious"},{"name":"Chala","start":"07:26","end":"09:02","startHours":7.435879903881576,"endHours":9.038093986310685,"quality":"neutral"},{"name":"Labha","start":"09:02","end":"10:38","startHours":9.038093986310685,"endHours":10.640308068739792,"quality":"auspicious"},{"name":"Amṛta","start":"10:38","end":"12:15","startHours":10.640308068739792,"endHours":12.242522151168899,"quality":"auspicious"},{"name":"Kāla","start":"12:15","end":"13:51","startHours":12.242522151168899,"endHours":13.844736233598006,"quality":"inauspicious"},{"name":"Śubha","start":"13:51","end":"15:27","startHours":13.844736233598006,"endHours":15.446950316027117,"quality":"auspicious"},{"name":"Roga","start":"15:27","end":"17:03","startHours":15.446950316027117,"endHours":17.049164398456224,"quality":"inauspicious"},{"name":"Udveg","start":"17:03","end":"18:39","startHours":17.049164398456224,"endHours":18.65137848088533,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:39","end":"20:03","startHours":18.65137848088533,"endHours":20.049164398456224,"quality":"auspicious"},{"name":"Roga","start":"20:03","end":"21:27","startHours":20.049164398456224,"endHours":21.446950316027113,"quality":"inauspicious"},{"name":"Udveg","start":"21:27","end":"22:51","startHours":21.446950316027113,"endHours":22.844736233598006,"quality":"inauspicious"},{"name":"Chala","start":"22:51","end":"00:15","startHours":22.844736233598006,"endHours":24.2425221511689,"quality":"neutral"},{"name":"Labha","start":"00:15","end":"01:38","startHours":24.2425221511689,"endHours":25.64030806873979,"quality":"auspicious"},{"name":"Amṛta","start":"01:38","end":"03:02","startHours":25.64030806873979,"endHours":27.038093986310685,"quality":"auspicious"},{"name":"Kāla","start":"03:02","end":"04:26","startHours":27.038093986310685,"endHours":28.435879903881574,"quality":"inauspicious"},{"name":"Śubha","start":"04:26","end":"05:50","startHours":28.435879903881574,"endHours":29.833665821452467,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.833665821452468,"endHours":6.833665821452468,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.833665821452468,"endHours":7.833665821452468,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.833665821452468,"endHours":8.833665821452467,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.833665821452467,"endHours":9.833665821452467,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.833665821452467,"endHours":10.833665821452467,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.833665821452467,"endHours":11.833665821452467,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.833665821452467,"endHours":12.833665821452467,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.833665821452467,"endHours":13.833665821452467,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.833665821452467,"endHours":14.833665821452467,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.833665821452467,"endHours":15.833665821452467,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.833665821452467,"endHours":16.833665821452467,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.833665821452467,"endHours":17.833665821452467,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.833665821452467,"endHours":18.833665821452467,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.833665821452467,"endHours":19.833665821452467,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.833665821452467,"endHours":20.833665821452467,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.833665821452467,"endHours":21.833665821452467,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.833665821452467,"endHours":22.833665821452467,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.833665821452467,"endHours":23.833665821452467,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.833665821452467,"endHours":24.833665821452467,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.833665821452467,"endHours":25.833665821452467,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.833665821452467,"endHours":26.833665821452467,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.833665821452467,"endHours":27.833665821452467,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.833665821452467,"endHours":28.833665821452467,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.833665821452467,"endHours":29.833665821452467,"planetary_lord":"Jupiter"}],"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":"West (Paścim)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":9.833398741330962,"eotMinutes":4.753870929866006,"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 Caturdaśī · Vikram -3169 undefined · Śaka -3304 undefined"},"festivals":[{"id":"naraka-chaturdashi","name":"Naraka Caturdaśī (Choṭī Diwālī)","name_sanskrit":"नरक चतुर्दशी","tradition":"Vaishnava","associated_deity":"Krishna (Narakāsura-vadha)","significance":"Krishna slew Narakāsura, freeing 16,000 captive princesses. Day 2 of Diwali.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":2,"sources":["Bhāgavata 10.59"]},{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Dedicated festival walk for Naraka Caturdaśī (Choṭī Diwālī) · Māsika Śivarātri is not live yet; Ravivāra (Sunday) — 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 13, 3227 BCE · Mathurā · Vidhyamitra","description":"September 13, 3227 BCE for Mathurā: Kṛṣṇa Caturdaśī, sūryodaya 05:50, sūryāsta 18:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3226-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3226-09-13","sa":"https://sa.vidhyamitra.com/city/mathura/-3226-09-13","hi":"https://hi.vidhyamitra.com/city/mathura/-3226-09-13","x-default":"https://vidhyamitra.com/city/mathura/-3226-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T13:57:11.455Z","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":"2026-08-10T13:57:11.455Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T13:57:11.455Z","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"}}}