{"id":"vidhyamitra:city-day:mathura:-3192-09-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3192-09-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3192-09-04","date_display":"September 4, 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":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":555426.770833,"kali_year":-90,"ahargana":-33038.7292,"sun":{"sidereal_longitude":194.8452,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":274.3403,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":79.4951,"elapsed_within_tithi_degrees":7.4951},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":274.3403,"elapsed_within_degrees":7.6736},"yoga":{"number":9,"name":"Śūla","sum_longitude":109.1856},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"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":-3192,"month":9,"day":4,"hour":6,"minute":30,"calendar":"julian"},"julian_day":555426.770833,"ahargana":-33038.7292,"kali_year":-90,"ayanamsa_lahiri":-48.6664,"grahas":{"sun":{"sidereal_longitude":194.8452,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":274.3403,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false,"latitude":2.6566},"mars":{"sidereal_longitude":286.4922,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":187.5198,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":144.7553,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":239.5387,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":320.7556,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":130.5509,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":310.5509,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":-3192,"month":9,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":555426.770833,"kali_year":-90,"ahargana":-33038.7292,"sun":{"sidereal_longitude":194.8452,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":274.3403,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":79.4951,"elapsed_within_tithi_degrees":7.4951},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":274.3403,"elapsed_within_degrees":7.6736},"yoga":{"number":9,"name":"Śūla","sum_longitude":109.1856},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.657,"elongation":79.495},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.657,"opposition_distance":100.505}},"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":"05:47","sunsetLocal":"18:49","solarNoonLocal":"12:18","dayLengthHours":13.034038542477091,"dayLengthDisplay":"13 Hours 02 Mins 03 Secs","nightLengthDisplay":"10 Hours 57 Mins 57 Secs","moonriseLocal":"12:09","moonsetLocal":"23:03","rahuKala":{"name":"Rāhu Kāla","start":"09:02","end":"10:40","startHours":9.038279762759792,"endHours":10.667534580569427,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:56","end":"15:33","startHours":13.9260442161887,"endHours":15.555299033998338,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:47","end":"07:25","startHours":5.779770127140519,"endHours":7.409024944950155,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:15","startHours":8.82104578705184,"endHours":9.255513738467743,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:19","end":"06:40","startHours":6.322855066410398,"endHours":6.67042942754312,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:44","startHours":11.862321446963163,"endHours":12.731257349794967,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:03","end":"04:55","startHours":4.041898321476906,"endHours":4.910834224308712,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:42","end":"05:47","startHours":4.693600248600761,"endHours":5.779770127140519,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:20","startHours":14.469129155458578,"endHours":15.338065058290384,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:37","end":"19:01","startHours":18.61380866961761,"endHours":19.01380866961761,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:49","end":"19:21","startHours":18.81380866961761,"endHours":19.35689360888749,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:34","end":"20:19","startHours":18.56380866961761,"endHours":20.31380866961761,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:44","startHours":23.86232144696316,"endHours":24.73125734979497,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:47","end":"07:25","startHours":5.779770127140519,"endHours":7.409024944950155,"quality":"inauspicious"},{"name":"Śubha","start":"07:25","end":"09:02","startHours":7.409024944950155,"endHours":9.038279762759792,"quality":"auspicious"},{"name":"Roga","start":"09:02","end":"10:40","startHours":9.038279762759792,"endHours":10.667534580569427,"quality":"inauspicious"},{"name":"Udveg","start":"10:40","end":"12:18","startHours":10.667534580569427,"endHours":12.296789398379065,"quality":"inauspicious"},{"name":"Chala","start":"12:18","end":"13:56","startHours":12.296789398379065,"endHours":13.9260442161887,"quality":"neutral"},{"name":"Labha","start":"13:56","end":"15:33","startHours":13.9260442161887,"endHours":15.555299033998338,"quality":"auspicious"},{"name":"Amṛta","start":"15:33","end":"17:11","startHours":15.555299033998338,"endHours":17.184553851807973,"quality":"auspicious"},{"name":"Kāla","start":"17:11","end":"18:49","startHours":17.184553851807973,"endHours":18.81380866961761,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:49","end":"20:11","startHours":18.81380866961761,"endHours":20.184553851807976,"quality":"auspicious"},{"name":"Amṛta","start":"20:11","end":"21:33","startHours":20.184553851807976,"endHours":21.555299033998338,"quality":"auspicious"},{"name":"Kāla","start":"21:33","end":"22:56","startHours":21.555299033998338,"endHours":22.9260442161887,"quality":"inauspicious"},{"name":"Śubha","start":"22:56","end":"00:18","startHours":22.9260442161887,"endHours":24.296789398379065,"quality":"auspicious"},{"name":"Roga","start":"00:18","end":"01:40","startHours":24.296789398379065,"endHours":25.66753458056943,"quality":"inauspicious"},{"name":"Udveg","start":"01:40","end":"03:02","startHours":25.66753458056943,"endHours":27.038279762759792,"quality":"inauspicious"},{"name":"Chala","start":"03:02","end":"04:25","startHours":27.038279762759792,"endHours":28.409024944950154,"quality":"neutral"},{"name":"Labha","start":"04:25","end":"05:47","startHours":28.409024944950154,"endHours":29.77977012714052,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:47","end":"06:47","startHours":5.779770127140519,"endHours":6.779770127140519,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:47","end":"07:47","startHours":6.779770127140519,"endHours":7.779770127140519,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:47","end":"08:47","startHours":7.779770127140519,"endHours":8.77977012714052,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:47","end":"09:47","startHours":8.77977012714052,"endHours":9.77977012714052,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:47","end":"10:47","startHours":9.77977012714052,"endHours":10.77977012714052,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:47","end":"11:47","startHours":10.77977012714052,"endHours":11.77977012714052,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:47","end":"12:47","startHours":11.77977012714052,"endHours":12.77977012714052,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:47","end":"13:47","startHours":12.77977012714052,"endHours":13.77977012714052,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:47","end":"14:47","startHours":13.77977012714052,"endHours":14.77977012714052,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:47","end":"15:47","startHours":14.77977012714052,"endHours":15.77977012714052,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:47","end":"16:47","startHours":15.77977012714052,"endHours":16.77977012714052,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:47","end":"17:47","startHours":16.77977012714052,"endHours":17.77977012714052,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:47","end":"18:47","startHours":17.77977012714052,"endHours":18.77977012714052,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:47","end":"19:47","startHours":18.77977012714052,"endHours":19.77977012714052,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:47","end":"20:47","startHours":19.77977012714052,"endHours":20.77977012714052,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:47","end":"21:47","startHours":20.77977012714052,"endHours":21.77977012714052,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:47","end":"22:47","startHours":21.77977012714052,"endHours":22.77977012714052,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:47","end":"23:47","startHours":22.77977012714052,"endHours":23.77977012714052,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:47","end":"00:47","startHours":23.77977012714052,"endHours":24.77977012714052,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:47","end":"01:47","startHours":24.77977012714052,"endHours":25.77977012714052,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:47","end":"02:47","startHours":25.77977012714052,"endHours":26.77977012714052,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:47","end":"03:47","startHours":26.77977012714052,"endHours":27.77977012714052,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:47","end":"04:47","startHours":27.77977012714052,"endHours":28.77977012714052,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:47","end":"05:47","startHours":28.77977012714052,"endHours":29.77977012714052,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Mṛtyu","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":12.790047139032326,"eotMinutes":1.4978360972560227,"ayanamsa":-48.6664}},"calendars":{"vikram_samvat":-3135,"saka_samvat":-3270,"bengali_samvat":-3785,"malayalam_era":-4016,"nanakshahi_year":-4661,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla 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 Śukla Saptamī · Vikram -3135 undefined · Śaka -3270 undefined"},"festivals":[],"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":"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 4, 3193 BCE · Mathurā · Vidhyamitra","description":"September 4, 3193 BCE for Mathurā: Śukla Saptamī, sūryodaya 05:47, sūryāsta 18:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3192-09-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3192-09-04","sa":"https://sa.vidhyamitra.com/city/mathura/-3192-09-04","hi":"https://hi.vidhyamitra.com/city/mathura/-3192-09-04","x-default":"https://vidhyamitra.com/city/mathura/-3192-09-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T01:03:43.169Z","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":"2026-09-08T01:03:43.169Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T01:03:43.169Z","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":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}