{"id":"vidhyamitra:city-day:mathura:-3184-06-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3184-06-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3184-06-06","date_display":"June 6, 3185 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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3184,"month":6,"day":6,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":558258.770833,"kali_year":-82,"ahargana":-30206.7292,"sun":{"sidereal_longitude":106.9832,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":144.8103,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":37.8272,"elapsed_within_tithi_degrees":1.8272},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":144.8103,"elapsed_within_degrees":11.477},"yoga":{"number":19,"name":"Parigha","sum_longitude":251.7935},"karana":{"half_tithi_index":6,"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":-3184,"month":6,"day":6,"hour":6,"minute":30,"calendar":"julian"},"julian_day":558258.770833,"ahargana":-30206.7292,"kali_year":-82,"ayanamsa_lahiri":-48.5581,"grahas":{"sun":{"sidereal_longitude":106.9832,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":144.8103,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false,"latitude":1.2156},"mars":{"sidereal_longitude":54.2677,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":134.5613,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":24.5157,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":145.3341,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":75.2762,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":340.4979,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":160.4979,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3184,"month":6,"day":6,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":558258.770833,"kali_year":-82,"ahargana":-30206.7292,"sun":{"sidereal_longitude":106.9832,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":144.8103,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":37.8272,"elapsed_within_tithi_degrees":1.8272},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":144.8103,"elapsed_within_degrees":11.477},"yoga":{"number":19,"name":"Parigha","sum_longitude":251.7935},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.216,"elongation":37.827},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.216,"opposition_distance":142.173}},"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":"05:30","sunsetLocal":"19:05","solarNoonLocal":"12:18","dayLengthHours":13.576055353932787,"dayLengthDisplay":"13 Hours 34 Mins 34 Secs","nightLengthDisplay":"10 Hours 25 Mins 26 Secs","moonriseLocal":"07:54","moonsetLocal":"21:44","rahuKala":{"name":"Rāhu Kāla","start":"12:18","end":"14:00","startHours":12.296011283995135,"endHours":13.993018203236733,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:12","end":"08:54","startHours":7.204990526270339,"endHours":8.901997445511938,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:36","end":"12:18","startHours":10.599004364753537,"endHours":12.296011283995135,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:41","end":"09:08","startHours":8.675729856279723,"endHours":9.12826503474415,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:04","end":"06:26","startHours":6.073652580109274,"endHours":6.435680722880814,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:45","startHours":11.843476105530709,"endHours":12.748546462459561,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:42","end":"04:36","startHours":3.6978428931710354,"endHours":4.602913250099888,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:23","end":"05:30","startHours":4.376645660867675,"endHours":5.5079836070287405,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:28","startHours":14.558687176317267,"endHours":15.46375753324612,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:53","end":"19:17","startHours":18.88403896096153,"endHours":19.284038960961528,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:05","end":"19:39","startHours":19.08403896096153,"endHours":19.649707934042063,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:50","end":"20:35","startHours":18.83403896096153,"endHours":20.58403896096153,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:45","startHours":23.84347610553071,"endHours":24.74854646245956,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:30","end":"07:12","startHours":5.5079836070287405,"endHours":7.204990526270339,"quality":"auspicious"},{"name":"Amṛta","start":"07:12","end":"08:54","startHours":7.204990526270339,"endHours":8.901997445511938,"quality":"auspicious"},{"name":"Kāla","start":"08:54","end":"10:36","startHours":8.901997445511938,"endHours":10.599004364753537,"quality":"inauspicious"},{"name":"Śubha","start":"10:36","end":"12:18","startHours":10.599004364753537,"endHours":12.296011283995135,"quality":"auspicious"},{"name":"Roga","start":"12:18","end":"14:00","startHours":12.296011283995135,"endHours":13.993018203236733,"quality":"inauspicious"},{"name":"Udveg","start":"14:00","end":"15:41","startHours":13.993018203236733,"endHours":15.690025122478332,"quality":"inauspicious"},{"name":"Chala","start":"15:41","end":"17:23","startHours":15.690025122478332,"endHours":17.38703204171993,"quality":"neutral"},{"name":"Labha","start":"17:23","end":"19:05","startHours":17.38703204171993,"endHours":19.08403896096153,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:05","end":"20:23","startHours":19.08403896096153,"endHours":20.38703204171993,"quality":"inauspicious"},{"name":"Chala","start":"20:23","end":"21:41","startHours":20.38703204171993,"endHours":21.690025122478332,"quality":"neutral"},{"name":"Labha","start":"21:41","end":"23:00","startHours":21.690025122478332,"endHours":22.993018203236733,"quality":"auspicious"},{"name":"Amṛta","start":"23:00","end":"00:18","startHours":22.993018203236733,"endHours":24.296011283995135,"quality":"auspicious"},{"name":"Kāla","start":"00:18","end":"01:36","startHours":24.296011283995135,"endHours":25.599004364753537,"quality":"inauspicious"},{"name":"Śubha","start":"01:36","end":"02:54","startHours":25.599004364753537,"endHours":26.901997445511938,"quality":"auspicious"},{"name":"Roga","start":"02:54","end":"04:12","startHours":26.901997445511938,"endHours":28.20499052627034,"quality":"inauspicious"},{"name":"Udveg","start":"04:12","end":"05:30","startHours":28.20499052627034,"endHours":29.50798360702874,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:30","end":"06:30","startHours":5.5079836070287405,"endHours":6.5079836070287405,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:30","end":"07:30","startHours":6.5079836070287405,"endHours":7.5079836070287405,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:30","end":"08:30","startHours":7.5079836070287405,"endHours":8.507983607028741,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:30","end":"09:30","startHours":8.507983607028741,"endHours":9.507983607028741,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:30","end":"10:30","startHours":9.507983607028741,"endHours":10.507983607028741,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:30","end":"11:30","startHours":10.507983607028741,"endHours":11.507983607028741,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:30","end":"12:30","startHours":11.507983607028741,"endHours":12.507983607028741,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:30","end":"13:30","startHours":12.507983607028741,"endHours":13.507983607028741,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:30","end":"14:30","startHours":13.507983607028741,"endHours":14.507983607028741,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:30","end":"15:30","startHours":14.507983607028741,"endHours":15.507983607028741,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:30","end":"16:30","startHours":15.507983607028741,"endHours":16.50798360702874,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:30","end":"17:30","startHours":16.50798360702874,"endHours":17.50798360702874,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:30","end":"18:30","startHours":17.50798360702874,"endHours":18.50798360702874,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:30","end":"19:30","startHours":18.50798360702874,"endHours":19.50798360702874,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:30","end":"20:30","startHours":19.50798360702874,"endHours":20.50798360702874,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:30","end":"21:30","startHours":20.50798360702874,"endHours":21.50798360702874,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:30","end":"22:30","startHours":21.50798360702874,"endHours":22.50798360702874,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:30","end":"23:30","startHours":22.50798360702874,"endHours":23.50798360702874,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:30","end":"00:30","startHours":23.50798360702874,"endHours":24.50798360702874,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:30","end":"01:30","startHours":24.50798360702874,"endHours":25.50798360702874,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:30","end":"02:30","startHours":25.50798360702874,"endHours":26.50798360702874,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:30","end":"03:30","startHours":26.50798360702874,"endHours":27.50798360702874,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:30","end":"04:30","startHours":27.50798360702874,"endHours":28.50798360702874,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:30","end":"05:30","startHours":28.50798360702874,"endHours":29.50798360702874,"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"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":19.806868907351564,"eotMinutes":1.544522960291931,"ayanamsa":-48.5581}},"calendars":{"vikram_samvat":-3127,"saka_samvat":-3262,"bengali_samvat":-3777,"malayalam_era":-4008,"nanakshahi_year":-4653,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Caturthī · Vikram -3127 undefined · Śaka -3262 undefined"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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 June 6, 3185 BCE · Mathurā · Vidhyamitra","description":"June 6, 3185 BCE for Mathurā: Śukla Caturthī, sūryodaya 05:30, sūryāsta 19:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3184-06-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3184-06-06","sa":"https://sa.vidhyamitra.com/city/mathura/-3184-06-06","hi":"https://hi.vidhyamitra.com/city/mathura/-3184-06-06","x-default":"https://vidhyamitra.com/city/mathura/-3184-06-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:15:08.705Z","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":"2026-05-14T12:15:08.705Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:15:08.705Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}