{"id":"vidhyamitra:city-day:mathura:-3226-10-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3226-10-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3226-10-12","date_display":"October 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":10,"day":12,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":543045.770833,"kali_year":-124,"ahargana":-45419.7292,"sun":{"sidereal_longitude":233.2395,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":209.8021,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":336.5627,"elapsed_within_tithi_degrees":0.5627},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":209.8021,"elapsed_within_degrees":9.8021},"yoga":{"number":7,"name":"Sukarma","sum_longitude":83.0416},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":10,"day":12,"hour":6,"minute":30,"calendar":"julian"},"julian_day":543045.770833,"ahargana":-45419.7292,"kali_year":-124,"ayanamsa_lahiri":-49.1399,"grahas":{"sun":{"sidereal_longitude":233.2395,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":209.8021,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false,"latitude":2.6909},"mars":{"sidereal_longitude":287.2649,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":236.7536,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":190.347,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":265.3653,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":271.436,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":66.5558,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":246.5558,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"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":10,"day":12,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":543045.770833,"kali_year":-124,"ahargana":-45419.7292,"sun":{"sidereal_longitude":233.2395,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":209.8021,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":336.5627,"elapsed_within_tithi_degrees":0.5627},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":209.8021,"elapsed_within_degrees":9.8021},"yoga":{"number":7,"name":"Sukarma","sum_longitude":83.0416},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.691,"elongation":23.437},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.691,"opposition_distance":156.563}},"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":"06:05","sunsetLocal":"18:05","solarNoonLocal":"12:05","dayLengthHours":12.012165255290258,"dayLengthDisplay":"12 Hours 00 Mins 44 Secs","nightLengthDisplay":"11 Hours 59 Mins 16 Secs","moonriseLocal":"04:13","moonsetLocal":"16:50","rahuKala":{"name":"Rāhu Kāla","start":"07:35","end":"09:05","startHours":7.580200247779819,"endHours":9.081720904691101,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:35","end":"12:05","startHours":10.583241561602385,"endHours":12.084762218513667,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:35","end":"15:05","startHours":13.58628287542495,"endHours":15.087803532336231,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:17","startHours":8.881518150436264,"endHours":9.281923658945939,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:35","end":"06:54","startHours":6.579186476505631,"endHours":6.899510883313372,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:29","startHours":11.684356710003993,"endHours":12.485167727023342,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:29","end":"05:17","startHours":4.477057556829836,"endHours":5.277868573849187,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:05","end":"06:05","startHours":5.077665819594349,"endHours":6.078679590868537,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:53","startHours":14.086789761062043,"endHours":14.887600778081394,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:53","end":"18:17","startHours":17.890844846158796,"endHours":18.290844846158794,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:05","end":"18:35","startHours":18.090844846158795,"endHours":18.59135173179589,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:50","end":"19:35","startHours":17.840844846158795,"endHours":19.590844846158795,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:29","startHours":23.684356710003993,"endHours":24.48516772702334,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:05","end":"07:35","startHours":6.078679590868537,"endHours":7.580200247779819,"quality":"auspicious"},{"name":"Kāla","start":"07:35","end":"09:05","startHours":7.580200247779819,"endHours":9.081720904691101,"quality":"inauspicious"},{"name":"Śubha","start":"09:05","end":"10:35","startHours":9.081720904691101,"endHours":10.583241561602385,"quality":"auspicious"},{"name":"Roga","start":"10:35","end":"12:05","startHours":10.583241561602385,"endHours":12.084762218513667,"quality":"inauspicious"},{"name":"Udveg","start":"12:05","end":"13:35","startHours":12.084762218513667,"endHours":13.58628287542495,"quality":"inauspicious"},{"name":"Chala","start":"13:35","end":"15:05","startHours":13.58628287542495,"endHours":15.087803532336231,"quality":"neutral"},{"name":"Labha","start":"15:05","end":"16:35","startHours":15.087803532336231,"endHours":16.589324189247513,"quality":"auspicious"},{"name":"Amṛta","start":"16:35","end":"18:05","startHours":16.589324189247513,"endHours":18.090844846158795,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:05","end":"19:35","startHours":18.090844846158795,"endHours":19.589324189247513,"quality":"neutral"},{"name":"Labha","start":"19:35","end":"21:05","startHours":19.589324189247513,"endHours":21.08780353233623,"quality":"auspicious"},{"name":"Amṛta","start":"21:05","end":"22:35","startHours":21.08780353233623,"endHours":22.58628287542495,"quality":"auspicious"},{"name":"Kāla","start":"22:35","end":"00:05","startHours":22.58628287542495,"endHours":24.084762218513667,"quality":"inauspicious"},{"name":"Śubha","start":"00:05","end":"01:35","startHours":24.084762218513667,"endHours":25.583241561602385,"quality":"auspicious"},{"name":"Roga","start":"01:35","end":"03:05","startHours":25.583241561602385,"endHours":27.081720904691103,"quality":"inauspicious"},{"name":"Udveg","start":"03:05","end":"04:35","startHours":27.081720904691103,"endHours":28.58020024777982,"quality":"inauspicious"},{"name":"Chala","start":"04:35","end":"06:05","startHours":28.58020024777982,"endHours":30.07867959086854,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:05","end":"07:05","startHours":6.078679590868537,"endHours":7.078679590868537,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:05","end":"08:05","startHours":7.078679590868537,"endHours":8.078679590868537,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:05","end":"09:05","startHours":8.078679590868537,"endHours":9.078679590868537,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:05","end":"10:05","startHours":9.078679590868537,"endHours":10.078679590868537,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:05","end":"11:05","startHours":10.078679590868537,"endHours":11.078679590868537,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:05","end":"12:05","startHours":11.078679590868537,"endHours":12.078679590868537,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:05","end":"13:05","startHours":12.078679590868537,"endHours":13.078679590868537,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:05","end":"14:05","startHours":13.078679590868537,"endHours":14.078679590868537,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:05","end":"15:05","startHours":14.078679590868537,"endHours":15.078679590868537,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:05","end":"16:05","startHours":15.078679590868537,"endHours":16.07867959086854,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:05","end":"17:05","startHours":16.07867959086854,"endHours":17.07867959086854,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:05","end":"18:05","startHours":17.07867959086854,"endHours":18.07867959086854,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:05","end":"19:05","startHours":18.07867959086854,"endHours":19.07867959086854,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:05","end":"20:05","startHours":19.07867959086854,"endHours":20.07867959086854,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:05","end":"21:05","startHours":20.07867959086854,"endHours":21.07867959086854,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:05","end":"22:05","startHours":21.07867959086854,"endHours":22.07867959086854,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:05","end":"23:05","startHours":22.07867959086854,"endHours":23.07867959086854,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:05","end":"00:05","startHours":23.07867959086854,"endHours":24.07867959086854,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:05","end":"01:05","startHours":24.07867959086854,"endHours":25.07867959086854,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:05","end":"02:05","startHours":25.07867959086854,"endHours":26.07867959086854,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:05","end":"03:05","startHours":26.07867959086854,"endHours":27.07867959086854,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:05","end":"04:05","startHours":27.07867959086854,"endHours":28.07867959086854,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:05","end":"05:05","startHours":28.07867959086854,"endHours":29.07867959086854,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:05","end":"06:05","startHours":29.07867959086854,"endHours":30.07867959086854,"planetary_lord":"Venus"}],"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","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-1.629372667214546,"eotMinutes":14.219466889179907,"ayanamsa":-49.1399}},"calendars":{"vikram_samvat":-3169,"saka_samvat":-3304,"bengali_samvat":-3819,"malayalam_era":-4050,"nanakshahi_year":-4695,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Caturdaśī · Vikram -3169 undefined · Śaka -3304 undefined"},"festivals":[{"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Dedicated festival walk for Māsika Śivarātri is not live yet; Somavāra (Monday) — 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 October 12, 3227 BCE · Mathurā · Vidhyamitra","description":"October 12, 3227 BCE for Mathurā: Kṛṣṇa Caturdaśī, sūryodaya 06:05, sūryāsta 18:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3226-10-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3226-10-12","sa":"https://sa.vidhyamitra.com/city/mathura/-3226-10-12","hi":"https://hi.vidhyamitra.com/city/mathura/-3226-10-12","x-default":"https://vidhyamitra.com/city/mathura/-3226-10-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-13T11:21:47.500Z","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":"2026-08-13T11:21:47.500Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-13T11:21:47.500Z","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"}}}