{"id":"vidhyamitra:city-day:mathura:-3192-09-22:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3192-09-22","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3192-09-22","date_display":"September 22, 3193 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":-3192,"month":9,"day":22,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":555444.770833,"kali_year":-90,"ahargana":-33020.7292,"sun":{"sidereal_longitude":213.0364,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":143.9792,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":290.9428,"elapsed_within_tithi_degrees":2.9428},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":143.9792,"elapsed_within_degrees":10.6459},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":357.0156},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":-3192,"month":9,"day":22,"hour":6,"minute":30,"calendar":"julian"},"julian_day":555444.770833,"ahargana":-33020.7292,"kali_year":-90,"ayanamsa_lahiri":-48.6657,"grahas":{"sun":{"sidereal_longitude":213.0364,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":143.9792,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false,"latitude":1.1167},"mars":{"sidereal_longitude":298.1903,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":218.4673,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":147.5194,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":249.6516,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":320.5601,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":129.5971,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":309.5971,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":-3192,"month":9,"day":22,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":555444.770833,"kali_year":-90,"ahargana":-33020.7292,"sun":{"sidereal_longitude":213.0364,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":143.9792,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":290.9428,"elapsed_within_tithi_degrees":2.9428},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":143.9792,"elapsed_within_degrees":10.6459},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":357.0156},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.117,"elongation":69.057},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.117,"opposition_distance":110.943}},"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":"05:55","sunsetLocal":"18:28","solarNoonLocal":"12:11","dayLengthHours":12.554877549884758,"dayLengthDisplay":"12 Hours 33 Mins 18 Secs","nightLengthDisplay":"11 Hours 26 Mins 42 Secs","moonriseLocal":"00:40","moonsetLocal":"14:30","rahuKala":{"name":"Rāhu Kāla","start":"12:11","end":"13:45","startHours":12.187158272681362,"endHours":13.756517966416958,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:29","end":"09:03","startHours":7.479079191474579,"endHours":9.048438885210174,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:37","end":"12:11","startHours":10.617798578945768,"endHours":12.187158272681362,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:15","startHours":8.839190926045427,"endHours":9.25768684437492,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:26","end":"06:46","startHours":6.432839395650849,"endHours":6.767636130314443,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:36","startHours":11.76866235435187,"endHours":12.605654191010855,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:14","end":"05:04","startHours":4.235735824421017,"endHours":5.07272766108,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:52","end":"05:55","startHours":4.863479701915255,"endHours":5.909719497738984,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:07","startHours":14.279637864328823,"endHours":15.116629700987806,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:16","end":"18:40","startHours":18.26459704762374,"endHours":18.66459704762374,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:28","end":"18:59","startHours":18.46459704762374,"endHours":18.987716945535606,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:13","end":"19:58","startHours":18.21459704762374,"endHours":19.96459704762374,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:36","startHours":23.76866235435187,"endHours":24.605654191010853,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:55","end":"07:29","startHours":5.909719497738984,"endHours":7.479079191474579,"quality":"auspicious"},{"name":"Amṛta","start":"07:29","end":"09:03","startHours":7.479079191474579,"endHours":9.048438885210174,"quality":"auspicious"},{"name":"Kāla","start":"09:03","end":"10:37","startHours":9.048438885210174,"endHours":10.617798578945768,"quality":"inauspicious"},{"name":"Śubha","start":"10:37","end":"12:11","startHours":10.617798578945768,"endHours":12.187158272681362,"quality":"auspicious"},{"name":"Roga","start":"12:11","end":"13:45","startHours":12.187158272681362,"endHours":13.756517966416958,"quality":"inauspicious"},{"name":"Udveg","start":"13:45","end":"15:20","startHours":13.756517966416958,"endHours":15.325877660152553,"quality":"inauspicious"},{"name":"Chala","start":"15:20","end":"16:54","startHours":15.325877660152553,"endHours":16.895237353888145,"quality":"neutral"},{"name":"Labha","start":"16:54","end":"18:28","startHours":16.895237353888145,"endHours":18.46459704762374,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:28","end":"19:54","startHours":18.46459704762374,"endHours":19.895237353888145,"quality":"inauspicious"},{"name":"Chala","start":"19:54","end":"21:20","startHours":19.895237353888145,"endHours":21.32587766015255,"quality":"neutral"},{"name":"Labha","start":"21:20","end":"22:45","startHours":21.32587766015255,"endHours":22.756517966416958,"quality":"auspicious"},{"name":"Amṛta","start":"22:45","end":"00:11","startHours":22.756517966416958,"endHours":24.187158272681362,"quality":"auspicious"},{"name":"Kāla","start":"00:11","end":"01:37","startHours":24.187158272681362,"endHours":25.617798578945767,"quality":"inauspicious"},{"name":"Śubha","start":"01:37","end":"03:03","startHours":25.617798578945767,"endHours":27.048438885210174,"quality":"auspicious"},{"name":"Roga","start":"03:03","end":"04:29","startHours":27.048438885210174,"endHours":28.47907919147458,"quality":"inauspicious"},{"name":"Udveg","start":"04:29","end":"05:55","startHours":28.47907919147458,"endHours":29.909719497738983,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:55","end":"06:55","startHours":5.909719497738984,"endHours":6.909719497738984,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:55","end":"07:55","startHours":6.909719497738984,"endHours":7.909719497738984,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:55","end":"08:55","startHours":7.909719497738984,"endHours":8.909719497738983,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:55","end":"09:55","startHours":8.909719497738983,"endHours":9.909719497738983,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:55","end":"10:55","startHours":9.909719497738983,"endHours":10.909719497738983,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:55","end":"11:55","startHours":10.909719497738983,"endHours":11.909719497738983,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:55","end":"12:55","startHours":11.909719497738983,"endHours":12.909719497738983,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:55","end":"13:55","startHours":12.909719497738983,"endHours":13.909719497738983,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:55","end":"14:55","startHours":13.909719497738983,"endHours":14.909719497738983,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:55","end":"15:55","startHours":14.909719497738983,"endHours":15.909719497738983,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:55","end":"16:55","startHours":15.909719497738983,"endHours":16.909719497738983,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:55","end":"17:55","startHours":16.909719497738983,"endHours":17.909719497738983,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:55","end":"18:55","startHours":17.909719497738983,"endHours":18.909719497738983,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:55","end":"19:55","startHours":18.909719497738983,"endHours":19.909719497738983,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:55","end":"20:55","startHours":19.909719497738983,"endHours":20.909719497738983,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:55","end":"21:55","startHours":20.909719497738983,"endHours":21.909719497738983,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:55","end":"22:55","startHours":21.909719497738983,"endHours":22.909719497738983,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:55","end":"23:55","startHours":22.909719497738983,"endHours":23.909719497738983,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:55","end":"00:55","startHours":23.909719497738983,"endHours":24.909719497738983,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:55","end":"01:55","startHours":24.909719497738983,"endHours":25.909719497738983,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:55","end":"02:55","startHours":25.909719497738983,"endHours":26.909719497738983,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:55","end":"03:55","startHours":26.909719497738983,"endHours":27.909719497738983,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:55","end":"04:55","startHours":27.909719497738983,"endHours":28.909719497738983,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:55","end":"05:55","startHours":28.909719497738983,"endHours":29.909719497738983,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Gada","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":6.151283614431959,"eotMinutes":8.075703639118354,"ayanamsa":-48.6657}},"calendars":{"vikram_samvat":-3135,"saka_samvat":-3270,"bengali_samvat":-3785,"malayalam_era":-4016,"nanakshahi_year":-4661,"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 Daśamī · Vikram -3135 undefined · Śaka -3270 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 22, 3193 BCE · Mathurā · Vidhyamitra","description":"September 22, 3193 BCE for Mathurā: Kṛṣṇa Daśamī, sūryodaya 05:55, sūryāsta 18:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3192-09-22","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3192-09-22","sa":"https://sa.vidhyamitra.com/city/mathura/-3192-09-22","hi":"https://hi.vidhyamitra.com/city/mathura/-3192-09-22","x-default":"https://vidhyamitra.com/city/mathura/-3192-09-22"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T20:37:43.751Z","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":"2026-08-10T20:37:43.751Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T20:37:43.751Z","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"}}}