{"id":"vidhyamitra:city-day:mathura:-3226-10-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3226-10-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3226-10-02","date_display":"October 2, 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":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":543035.770833,"kali_year":-124,"ahargana":-45429.7292,"sun":{"sidereal_longitude":223.0135,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":82.562,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":219.5485,"elapsed_within_tithi_degrees":3.5485},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":82.562,"elapsed_within_degrees":2.562},"yoga":{"number":23,"name":"Śubha","sum_longitude":305.5755},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2,"hour":6,"minute":30,"calendar":"julian"},"julian_day":543035.770833,"ahargana":-45429.7292,"kali_year":-124,"ayanamsa_lahiri":-49.1403,"grahas":{"sun":{"sidereal_longitude":223.0135,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":82.562,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false,"latitude":1.1996},"mars":{"sidereal_longitude":279.7986,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":219.3909,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":188.4388,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":252.962,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":270.472,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":67.0857,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":247.0857,"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":10,"day":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":543035.770833,"kali_year":-124,"ahargana":-45429.7292,"sun":{"sidereal_longitude":223.0135,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":82.562,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":219.5485,"elapsed_within_tithi_degrees":3.5485},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":82.562,"elapsed_within_degrees":2.562},"yoga":{"number":23,"name":"Śubha","sum_longitude":305.5755},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.2,"elongation":140.452},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.2,"opposition_distance":39.548}},"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":"05:59","sunsetLocal":"18:17","solarNoonLocal":"12:08","dayLengthHours":12.294300277190821,"dayLengthDisplay":"12 Hours 17 Mins 39 Secs","nightLengthDisplay":"11 Hours 42 Mins 21 Secs","moonriseLocal":"20:16","moonsetLocal":"09:16","rahuKala":{"name":"Rāhu Kāla","start":"10:36","end":"12:08","startHours":10.593558466487185,"endHours":12.130346001136036,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:12","end":"16:44","startHours":15.203921070433744,"endHours":16.740708605082595,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:31","end":"09:03","startHours":7.519983397189479,"endHours":9.056770931838333,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:16","startHours":8.851865927218485,"endHours":9.261675936458179,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:30","end":"06:49","startHours":6.495458374090244,"endHours":6.823306381481999,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:43","end":"12:32","startHours":11.720535991896343,"endHours":12.54015601037573,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:21","end":"05:10","startHours":4.343955825581851,"endHours":5.1635758440612385,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:58","end":"05:59","startHours":4.958670839441392,"endHours":5.983195862540627,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:11","end":"15:00","startHours":14.179396047334507,"endHours":14.999016065813894,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:05","end":"18:29","startHours":18.077496139731448,"endHours":18.477496139731446,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:17","end":"18:47","startHours":18.277496139731447,"endHours":18.789758651281065,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:02","end":"19:47","startHours":18.027496139731447,"endHours":19.777496139731447,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:43","end":"00:32","startHours":23.72053599189634,"endHours":24.540156010375732,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:59","end":"07:31","startHours":5.983195862540627,"endHours":7.519983397189479,"quality":"neutral"},{"name":"Labha","start":"07:31","end":"09:03","startHours":7.519983397189479,"endHours":9.056770931838333,"quality":"auspicious"},{"name":"Amṛta","start":"09:03","end":"10:36","startHours":9.056770931838333,"endHours":10.593558466487185,"quality":"auspicious"},{"name":"Kāla","start":"10:36","end":"12:08","startHours":10.593558466487185,"endHours":12.130346001136036,"quality":"inauspicious"},{"name":"Śubha","start":"12:08","end":"13:40","startHours":12.130346001136036,"endHours":13.66713353578489,"quality":"auspicious"},{"name":"Roga","start":"13:40","end":"15:12","startHours":13.66713353578489,"endHours":15.203921070433744,"quality":"inauspicious"},{"name":"Udveg","start":"15:12","end":"16:44","startHours":15.203921070433744,"endHours":16.740708605082595,"quality":"inauspicious"},{"name":"Chala","start":"16:44","end":"18:17","startHours":16.740708605082595,"endHours":18.277496139731447,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:17","end":"19:44","startHours":18.277496139731447,"endHours":19.740708605082595,"quality":"inauspicious"},{"name":"Udveg","start":"19:44","end":"21:12","startHours":19.740708605082595,"endHours":21.203921070433744,"quality":"inauspicious"},{"name":"Chala","start":"21:12","end":"22:40","startHours":21.203921070433744,"endHours":22.667133535784888,"quality":"neutral"},{"name":"Labha","start":"22:40","end":"00:08","startHours":22.667133535784888,"endHours":24.130346001136036,"quality":"auspicious"},{"name":"Amṛta","start":"00:08","end":"01:36","startHours":24.130346001136036,"endHours":25.593558466487185,"quality":"auspicious"},{"name":"Kāla","start":"01:36","end":"03:03","startHours":25.593558466487185,"endHours":27.05677093183833,"quality":"inauspicious"},{"name":"Śubha","start":"03:03","end":"04:31","startHours":27.05677093183833,"endHours":28.519983397189478,"quality":"auspicious"},{"name":"Roga","start":"04:31","end":"05:59","startHours":28.519983397189478,"endHours":29.983195862540626,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:59","end":"06:59","startHours":5.983195862540627,"endHours":6.983195862540627,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:59","end":"07:59","startHours":6.983195862540627,"endHours":7.983195862540627,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:59","end":"08:59","startHours":7.983195862540627,"endHours":8.983195862540626,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:59","end":"09:59","startHours":8.983195862540626,"endHours":9.983195862540626,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:59","end":"10:59","startHours":9.983195862540626,"endHours":10.983195862540626,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:59","end":"11:59","startHours":10.983195862540626,"endHours":11.983195862540626,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:59","end":"12:59","startHours":11.983195862540626,"endHours":12.983195862540626,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:59","end":"13:59","startHours":12.983195862540626,"endHours":13.983195862540626,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:59","end":"14:59","startHours":13.983195862540626,"endHours":14.983195862540626,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:59","end":"15:59","startHours":14.983195862540626,"endHours":15.983195862540626,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:59","end":"16:59","startHours":15.983195862540626,"endHours":16.983195862540626,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:59","end":"17:59","startHours":16.983195862540626,"endHours":17.983195862540626,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:59","end":"18:59","startHours":17.983195862540626,"endHours":18.983195862540626,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:59","end":"19:59","startHours":18.983195862540626,"endHours":19.983195862540626,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:59","end":"20:59","startHours":19.983195862540626,"endHours":20.983195862540626,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:59","end":"21:59","startHours":20.983195862540626,"endHours":21.983195862540626,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:59","end":"22:59","startHours":21.983195862540626,"endHours":22.983195862540626,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:59","end":"23:59","startHours":22.983195862540626,"endHours":23.983195862540626,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:59","end":"00:59","startHours":23.983195862540626,"endHours":24.983195862540626,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:59","end":"01:59","startHours":24.983195862540626,"endHours":25.983195862540626,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:59","end":"02:59","startHours":25.983195862540626,"endHours":26.983195862540626,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:59","end":"03:59","startHours":26.983195862540626,"endHours":27.983195862540626,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:59","end":"04:59","startHours":27.983195862540626,"endHours":28.983195862540626,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:59","end":"05:59","startHours":28.983195862540626,"endHours":29.983195862540626,"planetary_lord":"Mars"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"South-East","anandadiYoga":{"name":"Sushira","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":2.4329169093511918,"eotMinutes":11.484439931837855,"ayanamsa":-49.1403}},"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 Caturthī · Vikram -3169 undefined · Śaka -3304 undefined"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Dedicated festival walk for Saṅkaṣṭī Caturthī is not live yet; Śukravāra (Friday) — 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 2, 3227 BCE · Mathurā · Vidhyamitra","description":"October 2, 3227 BCE for Mathurā: Kṛṣṇa Caturthī, sūryodaya 05:59, sūryāsta 18:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3226-10-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3226-10-02","sa":"https://sa.vidhyamitra.com/city/mathura/-3226-10-02","hi":"https://hi.vidhyamitra.com/city/mathura/-3226-10-02","x-default":"https://vidhyamitra.com/city/mathura/-3226-10-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T23:13:59.548Z","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":"2026-08-11T23:13:59.548Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T23:13:59.548Z","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"}}}