{"id":"vidhyamitra:city-day:mathura:-3192-10-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3192-10-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3192-10-02","date_display":"October 2, 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":10,"day":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":555454.770833,"kali_year":-90,"ahargana":-33010.7292,"sun":{"sidereal_longitude":223.22,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":284.2796,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":61.0596,"elapsed_within_tithi_degrees":1.0596},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":284.2796,"elapsed_within_degrees":4.2796},"yoga":{"number":12,"name":"Dhruva","sum_longitude":147.4996},"karana":{"half_tithi_index":10,"name":"Kaulava"},"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":10,"day":2,"hour":6,"minute":30,"calendar":"julian"},"julian_day":555454.770833,"ahargana":-33010.7292,"kali_year":-90,"ayanamsa_lahiri":-48.6653,"grahas":{"sun":{"sidereal_longitude":223.22,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":284.2796,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false,"latitude":1.8851},"mars":{"sidereal_longitude":304.9078,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":235.4479,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":148.7875,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":251.2227,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":320.7016,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":129.0673,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":309.0673,"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":10,"day":2,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":555454.770833,"kali_year":-90,"ahargana":-33010.7292,"sun":{"sidereal_longitude":223.22,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":284.2796,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":61.0596,"elapsed_within_tithi_degrees":1.0596},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":284.2796,"elapsed_within_degrees":4.2796},"yoga":{"number":12,"name":"Dhruva","sum_longitude":147.4996},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.885,"elongation":61.06},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.885,"opposition_distance":118.94}},"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":"06:00","sunsetLocal":"18:16","solarNoonLocal":"12:08","dayLengthHours":12.275506656009078,"dayLengthDisplay":"12 Hours 16 Mins 32 Secs","nightLengthDisplay":"11 Hours 43 Mins 28 Secs","moonriseLocal":"10:51","moonsetLocal":"21:33","rahuKala":{"name":"Rāhu Kāla","start":"09:04","end":"10:36","startHours":9.061469337133765,"endHours":10.5959076691349,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:40","end":"15:12","startHours":13.66478433313717,"endHours":15.199222665138304,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:00","end":"07:32","startHours":5.9925926731314965,"endHours":7.527031005132631,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:16","startHours":8.856877559533615,"endHours":9.266061114733917,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:30","end":"06:50","startHours":6.504072117131875,"endHours":6.831418961292117,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:43","end":"12:32","startHours":11.721162445935734,"endHours":12.539529556336339,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:21","end":"05:10","startHours":4.355858452330287,"endHours":5.174225562730891,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:58","end":"06:00","startHours":4.96963378513074,"endHours":5.9925926731314965,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:11","end":"15:00","startHours":14.17626377713755,"endHours":14.994630887538154,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:04","end":"18:28","startHours":18.068099329140576,"endHours":18.468099329140575,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:16","end":"18:47","startHours":18.268099329140576,"endHours":18.779578773140955,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:01","end":"19:46","startHours":18.018099329140576,"endHours":19.768099329140576,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:43","end":"00:32","startHours":23.721162445935732,"endHours":24.53952955633634,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:00","end":"07:32","startHours":5.9925926731314965,"endHours":7.527031005132631,"quality":"inauspicious"},{"name":"Śubha","start":"07:32","end":"09:04","startHours":7.527031005132631,"endHours":9.061469337133765,"quality":"auspicious"},{"name":"Roga","start":"09:04","end":"10:36","startHours":9.061469337133765,"endHours":10.5959076691349,"quality":"inauspicious"},{"name":"Udveg","start":"10:36","end":"12:08","startHours":10.5959076691349,"endHours":12.130346001136036,"quality":"inauspicious"},{"name":"Chala","start":"12:08","end":"13:40","startHours":12.130346001136036,"endHours":13.66478433313717,"quality":"neutral"},{"name":"Labha","start":"13:40","end":"15:12","startHours":13.66478433313717,"endHours":15.199222665138304,"quality":"auspicious"},{"name":"Amṛta","start":"15:12","end":"16:44","startHours":15.199222665138304,"endHours":16.73366099713944,"quality":"auspicious"},{"name":"Kāla","start":"16:44","end":"18:16","startHours":16.73366099713944,"endHours":18.268099329140576,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:16","end":"19:44","startHours":18.268099329140576,"endHours":19.73366099713944,"quality":"auspicious"},{"name":"Amṛta","start":"19:44","end":"21:12","startHours":19.73366099713944,"endHours":21.199222665138308,"quality":"auspicious"},{"name":"Kāla","start":"21:12","end":"22:40","startHours":21.199222665138308,"endHours":22.66478433313717,"quality":"inauspicious"},{"name":"Śubha","start":"22:40","end":"00:08","startHours":22.66478433313717,"endHours":24.130346001136036,"quality":"auspicious"},{"name":"Roga","start":"00:08","end":"01:36","startHours":24.130346001136036,"endHours":25.595907669134903,"quality":"inauspicious"},{"name":"Udveg","start":"01:36","end":"03:04","startHours":25.595907669134903,"endHours":27.061469337133765,"quality":"inauspicious"},{"name":"Chala","start":"03:04","end":"04:32","startHours":27.061469337133765,"endHours":28.52703100513263,"quality":"neutral"},{"name":"Labha","start":"04:32","end":"06:00","startHours":28.52703100513263,"endHours":29.992592673131497,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:00","end":"07:00","startHours":5.9925926731314965,"endHours":6.9925926731314965,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:00","end":"08:00","startHours":6.9925926731314965,"endHours":7.9925926731314965,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:00","end":"09:00","startHours":7.9925926731314965,"endHours":8.992592673131497,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:00","end":"10:00","startHours":8.992592673131497,"endHours":9.992592673131497,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:00","end":"11:00","startHours":9.992592673131497,"endHours":10.992592673131497,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:00","end":"12:00","startHours":10.992592673131497,"endHours":11.992592673131497,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:00","end":"13:00","startHours":11.992592673131497,"endHours":12.992592673131497,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:00","end":"14:00","startHours":12.992592673131497,"endHours":13.992592673131497,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:00","end":"15:00","startHours":13.992592673131497,"endHours":14.992592673131497,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:00","end":"16:00","startHours":14.992592673131497,"endHours":15.992592673131497,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:00","end":"17:00","startHours":15.992592673131497,"endHours":16.992592673131497,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:00","end":"18:00","startHours":16.992592673131497,"endHours":17.992592673131497,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:00","end":"19:00","startHours":17.992592673131497,"endHours":18.992592673131497,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:00","end":"20:00","startHours":18.992592673131497,"endHours":19.992592673131497,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:00","end":"21:00","startHours":19.992592673131497,"endHours":20.992592673131497,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:00","end":"22:00","startHours":20.992592673131497,"endHours":21.992592673131497,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:00","end":"23:00","startHours":21.992592673131497,"endHours":22.992592673131497,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:00","end":"00:00","startHours":22.992592673131497,"endHours":23.992592673131497,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:00","end":"01:00","startHours":23.992592673131497,"endHours":24.992592673131497,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:00","end":"02:00","startHours":24.992592673131497,"endHours":25.992592673131497,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:00","end":"03:00","startHours":25.992592673131497,"endHours":26.992592673131497,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:00","end":"04:00","startHours":26.992592673131497,"endHours":27.992592673131497,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:00","end":"05:00","startHours":27.992592673131497,"endHours":28.992592673131497,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:00","end":"06:00","startHours":28.992592673131497,"endHours":29.992592673131497,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"Kāṇa","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":2.163027482979314,"eotMinutes":11.484439931837855,"ayanamsa":-48.6653}},"calendars":{"vikram_samvat":-3135,"saka_samvat":-3270,"bengali_samvat":-3785,"malayalam_era":-4016,"nanakshahi_year":-4661,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla 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 Śukla Ṣaṣṭhī · Vikram -3135 undefined · Śaka -3270 undefined"},"festivals":[{"id":"skanda-shashthi","name":"Skanda Ṣaṣṭhī","name_sanskrit":"स्कन्द षष्ठी","tradition":"Shaiva","associated_deity":"Kārttikeya / Skanda / Murugan","significance":"Kārttikeya's victory over Tāraka. Important Shaiva day in Tamil tradition.","vrata":true,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3}],"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":"Dedicated festival walk for Skanda Ṣaṣṭhī is not live yet; 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 October 2, 3193 BCE · Mathurā · Vidhyamitra","description":"October 2, 3193 BCE for Mathurā: Śukla Ṣaṣṭhī, sūryodaya 06:00, sūryāsta 18:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3192-10-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3192-10-02","sa":"https://sa.vidhyamitra.com/city/mathura/-3192-10-02","hi":"https://hi.vidhyamitra.com/city/mathura/-3192-10-02","x-default":"https://vidhyamitra.com/city/mathura/-3192-10-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-10T14:20:52.407Z","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":"2026-09-10T14:20:52.407Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-10T14:20:52.407Z","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"}}}