{"id":"vidhyamitra:city-day:mathura:2012-09-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2012-09-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2012-09-06","date_display":"September 6, 2012 CE","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":2012,"month":9,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456176.770833,"kali_year":5114,"ahargana":1867711.2708,"sun":{"sidereal_longitude":139.0922,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":24.2575,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":245.1653,"elapsed_within_tithi_degrees":5.1653},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":24.2575,"elapsed_within_degrees":10.9242},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":163.3497},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2012,"month":9,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456176.770833,"ahargana":1867711.2708,"kali_year":5114,"ayanamsa_lahiri":24.0301,"grahas":{"sun":{"sidereal_longitude":139.826643,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":22.567943000000014,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":1.1947},"mars":{"sidereal_longitude":194.52064299999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":135.422143,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":50.720843,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":95.148843,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":182.43694299999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":219.6688,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":39.6688,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"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":2012,"month":9,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456176.770833,"kali_year":5114,"ahargana":1867711.2708,"sun":{"sidereal_longitude":139.0922,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":24.2575,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":245.1653,"elapsed_within_tithi_degrees":5.1653},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":24.2575,"elapsed_within_degrees":10.9242},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":163.3497},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.195,"elongation":114.835},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.195,"opposition_distance":65.165}},"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":"18:34","solarNoonLocal":"12:17","dayLengthHours":12.568851182707654,"dayLengthDisplay":"12 Hours 34 Mins 08 Secs","nightLengthDisplay":"11 Hours 25 Mins 52 Secs","moonriseLocal":"21:49","moonsetLocal":"11:07","rahuKala":{"name":"Rāhu Kāla","start":"13:51","end":"15:26","startHours":13.856176269254448,"endHours":15.427282667092904,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:00","end":"07:34","startHours":6.000644280062164,"endHours":7.571750677900621,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:09","end":"10:43","startHours":9.142857075739077,"endHours":10.713963473577534,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.93337622269395,"endHours":9.352337928784205,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:31","end":"06:52","startHours":6.524346412674983,"endHours":6.859515777547187,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:42","startHours":11.866108165325736,"endHours":12.704031577506248,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:19","end":"05:10","startHours":4.324797455701144,"endHours":5.162720867881654,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:57","end":"06:00","startHours":4.953240014836526,"endHours":6.000644280062164,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:13","startHours":14.379878401867266,"endHours":15.217801814047776,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:22","end":"18:46","startHours":18.36949546276982,"endHours":18.769495462769818,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:34","end":"19:06","startHours":18.56949546276982,"endHours":19.093197595382637,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:19","end":"20:04","startHours":18.31949546276982,"endHours":20.06949546276982,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:42","startHours":23.866108165325738,"endHours":24.704031577506246,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:00","end":"07:34","startHours":6.000644280062164,"endHours":7.571750677900621,"quality":"auspicious"},{"name":"Roga","start":"07:34","end":"09:09","startHours":7.571750677900621,"endHours":9.142857075739077,"quality":"inauspicious"},{"name":"Udveg","start":"09:09","end":"10:43","startHours":9.142857075739077,"endHours":10.713963473577534,"quality":"inauspicious"},{"name":"Chala","start":"10:43","end":"12:17","startHours":10.713963473577534,"endHours":12.285069871415992,"quality":"neutral"},{"name":"Labha","start":"12:17","end":"13:51","startHours":12.285069871415992,"endHours":13.856176269254448,"quality":"auspicious"},{"name":"Amṛta","start":"13:51","end":"15:26","startHours":13.856176269254448,"endHours":15.427282667092904,"quality":"auspicious"},{"name":"Kāla","start":"15:26","end":"17:00","startHours":15.427282667092904,"endHours":16.998389064931363,"quality":"inauspicious"},{"name":"Śubha","start":"17:00","end":"18:34","startHours":16.998389064931363,"endHours":18.56949546276982,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:34","end":"20:00","startHours":18.56949546276982,"endHours":19.998389064931363,"quality":"auspicious"},{"name":"Kāla","start":"20:00","end":"21:26","startHours":19.998389064931363,"endHours":21.427282667092904,"quality":"inauspicious"},{"name":"Śubha","start":"21:26","end":"22:51","startHours":21.427282667092904,"endHours":22.856176269254448,"quality":"auspicious"},{"name":"Roga","start":"22:51","end":"00:17","startHours":22.856176269254448,"endHours":24.285069871415992,"quality":"inauspicious"},{"name":"Udveg","start":"00:17","end":"01:43","startHours":24.285069871415992,"endHours":25.713963473577536,"quality":"inauspicious"},{"name":"Chala","start":"01:43","end":"03:09","startHours":25.713963473577536,"endHours":27.14285707573908,"quality":"neutral"},{"name":"Labha","start":"03:09","end":"04:34","startHours":27.14285707573908,"endHours":28.57175067790062,"quality":"auspicious"},{"name":"Amṛta","start":"04:34","end":"06:00","startHours":28.57175067790062,"endHours":30.000644280062165,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:00","end":"07:00","startHours":6.000644280062164,"endHours":7.000644280062164,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:00","end":"08:00","startHours":7.000644280062164,"endHours":8.000644280062165,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:00","end":"09:00","startHours":8.000644280062165,"endHours":9.000644280062165,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:00","end":"10:00","startHours":9.000644280062165,"endHours":10.000644280062165,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:00","end":"11:00","startHours":10.000644280062165,"endHours":11.000644280062165,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:00","end":"12:00","startHours":11.000644280062165,"endHours":12.000644280062165,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:00","end":"13:00","startHours":12.000644280062165,"endHours":13.000644280062165,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:00","end":"14:00","startHours":13.000644280062165,"endHours":14.000644280062165,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:00","end":"15:00","startHours":14.000644280062165,"endHours":15.000644280062165,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:00","end":"16:00","startHours":15.000644280062165,"endHours":16.000644280062165,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:00","end":"17:00","startHours":16.000644280062165,"endHours":17.000644280062165,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:00","end":"18:00","startHours":17.000644280062165,"endHours":18.000644280062165,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:00","end":"19:00","startHours":18.000644280062165,"endHours":19.000644280062165,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:00","end":"20:00","startHours":19.000644280062165,"endHours":20.000644280062165,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:00","end":"21:00","startHours":20.000644280062165,"endHours":21.000644280062165,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:00","end":"22:00","startHours":21.000644280062165,"endHours":22.000644280062165,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:00","end":"23:00","startHours":22.000644280062165,"endHours":23.000644280062165,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:00","end":"00:00","startHours":23.000644280062165,"endHours":24.000644280062165,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:00","end":"01:00","startHours":24.000644280062165,"endHours":25.000644280062165,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:00","end":"02:00","startHours":25.000644280062165,"endHours":26.000644280062165,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:00","end":"03:00","startHours":26.000644280062165,"endHours":27.000644280062165,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:00","end":"04:00","startHours":27.000644280062165,"endHours":28.000644280062165,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:00","end":"05:00","startHours":28.000644280062165,"endHours":29.000644280062165,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:00","end":"06:00","startHours":29.000644280062165,"endHours":30.000644280062165,"planetary_lord":"Moon"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":6.349068734148212,"eotMinutes":2.2010077150405363,"ayanamsa":24.0301}},"calendars":{"vikram_samvat":2069,"vikram_samvatsara":"Viśvāvasu","saka_samvat":1934,"saka_samvatsara":"Nandana","bengali_samvat":1419,"malayalam_era":1188,"nanakshahi_year":543,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Ṣaṣṭhī · Vikram 2069 Viśvāvasu · Śaka 1934 Nandana"},"festivals":[{"id":"balarama-jayanti","name":"Balarāma Jayantī (Hala-Ṣaṣṭhī)","name_sanskrit":"बलराम जयन्ती","tradition":"Vaishnava","associated_deity":"Balarāma (Krishna's elder brother; ādi-śeṣa)","significance":"Birth of Bala-deva, Krishna's elder brother and Saṅkarṣaṇa.","vrata":true,"detection":{"tithi_number":21,"tithi_paksha":"Kṛṣṇa","lunar_month":"Bhādrapada"},"precedence":3,"sources":["Bhāgavata 10.2-3"]},{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"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 6, 2012 CE · Mathurā · Vidhyamitra","description":"September 6, 2012 CE for Mathurā: Kṛṣṇa Ṣaṣṭhī, sūryodaya 06:00, sūryāsta 18:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2012-09-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2012-09-06","sa":"https://sa.vidhyamitra.com/city/mathura/2012-09-06","hi":"https://hi.vidhyamitra.com/city/mathura/2012-09-06","x-default":"https://vidhyamitra.com/city/mathura/2012-09-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:23:48.405Z","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":"2026-05-14T16:23:48.405Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:23:48.405Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}