{"id":"vidhyamitra:city-day:mathura:2004-09-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2004-09-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2004-09-12","date_display":"September 12, 2004 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":2004,"month":9,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453260.770833,"kali_year":5106,"ahargana":1864795.2708,"sun":{"sidereal_longitude":144.9722,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":113.8505,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.8783,"elapsed_within_tithi_degrees":4.8783},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":113.8505,"elapsed_within_degrees":7.1839},"yoga":{"number":20,"name":"Śiva","sum_longitude":258.8227},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2004,"month":9,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2453260.770833,"ahargana":1864795.2708,"kali_year":5106,"ayanamsa_lahiri":23.9186,"grahas":{"sun":{"sidereal_longitude":145.70395499999995,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":115.51005499999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false,"latitude":4.4358},"mars":{"sidereal_longitude":146.81215499999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":128.08455500000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":153.49875499999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":101.52545499999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":90.47825499999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":14.1725,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":194.1725,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"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":2004,"month":9,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453260.770833,"kali_year":5106,"ahargana":1864795.2708,"sun":{"sidereal_longitude":144.9722,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":113.8505,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.8783,"elapsed_within_tithi_degrees":4.8783},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":113.8505,"elapsed_within_degrees":7.1839},"yoga":{"number":20,"name":"Śiva","sum_longitude":258.8227},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.436,"elongation":31.122},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.436,"opposition_distance":148.878}},"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":"06:03","sunsetLocal":"18:27","solarNoonLocal":"12:15","dayLengthHours":12.411282212446904,"dayLengthDisplay":"12 Hours 24 Mins 41 Secs","nightLengthDisplay":"11 Hours 35 Mins 19 Secs","moonriseLocal":"03:39","moonsetLocal":"16:49","rahuKala":{"name":"Rāhu Kāla","start":"16:54","end":"18:27","startHours":16.9029255705345,"endHours":18.454335847090363,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:15","end":"13:48","startHours":12.24869474086691,"endHours":13.800105017422773,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:21","end":"16:54","startHours":15.351515293978636,"endHours":16.9029255705345,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.939019484214402,"endHours":9.352728891295966,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:34","end":"06:53","startHours":6.560190393495413,"endHours":6.891157919160664,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:40","startHours":11.834985333785346,"endHours":12.662404147948473,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:23","end":"05:13","startHours":4.388216006317204,"endHours":5.215634820480331,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:01","end":"06:03","startHours":5.008780116939549,"endHours":6.043053634643458,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:09","startHours":14.317241776274729,"endHours":15.144660590437857,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:15","end":"18:39","startHours":18.254335847090363,"endHours":18.654335847090362,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:27","end":"18:58","startHours":18.454335847090363,"endHours":18.971472605942317,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:12","end":"19:57","startHours":18.204335847090363,"endHours":19.954335847090363,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:40","startHours":23.834985333785347,"endHours":24.66240414794847,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:03","end":"07:36","startHours":6.043053634643458,"endHours":7.5944639111993215,"quality":"inauspicious"},{"name":"Chala","start":"07:36","end":"09:09","startHours":7.5944639111993215,"endHours":9.145874187755185,"quality":"neutral"},{"name":"Labha","start":"09:09","end":"10:42","startHours":9.145874187755185,"endHours":10.697284464311046,"quality":"auspicious"},{"name":"Amṛta","start":"10:42","end":"12:15","startHours":10.697284464311046,"endHours":12.24869474086691,"quality":"auspicious"},{"name":"Kāla","start":"12:15","end":"13:48","startHours":12.24869474086691,"endHours":13.800105017422773,"quality":"inauspicious"},{"name":"Śubha","start":"13:48","end":"15:21","startHours":13.800105017422773,"endHours":15.351515293978636,"quality":"auspicious"},{"name":"Roga","start":"15:21","end":"16:54","startHours":15.351515293978636,"endHours":16.9029255705345,"quality":"inauspicious"},{"name":"Udveg","start":"16:54","end":"18:27","startHours":16.9029255705345,"endHours":18.454335847090363,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:27","end":"19:54","startHours":18.454335847090363,"endHours":19.9029255705345,"quality":"auspicious"},{"name":"Roga","start":"19:54","end":"21:21","startHours":19.9029255705345,"endHours":21.351515293978636,"quality":"inauspicious"},{"name":"Udveg","start":"21:21","end":"22:48","startHours":21.351515293978636,"endHours":22.800105017422773,"quality":"inauspicious"},{"name":"Chala","start":"22:48","end":"00:15","startHours":22.800105017422773,"endHours":24.24869474086691,"quality":"neutral"},{"name":"Labha","start":"00:15","end":"01:42","startHours":24.24869474086691,"endHours":25.697284464311046,"quality":"auspicious"},{"name":"Amṛta","start":"01:42","end":"03:09","startHours":25.697284464311046,"endHours":27.145874187755183,"quality":"auspicious"},{"name":"Kāla","start":"03:09","end":"04:36","startHours":27.145874187755183,"endHours":28.59446391119932,"quality":"inauspicious"},{"name":"Śubha","start":"04:36","end":"06:03","startHours":28.59446391119932,"endHours":30.043053634643456,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:03","end":"07:03","startHours":6.043053634643458,"endHours":7.043053634643458,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:03","end":"08:03","startHours":7.043053634643458,"endHours":8.043053634643458,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:03","end":"09:03","startHours":8.043053634643458,"endHours":9.043053634643458,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:03","end":"10:03","startHours":9.043053634643458,"endHours":10.043053634643458,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:03","end":"11:03","startHours":10.043053634643458,"endHours":11.043053634643458,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:03","end":"12:03","startHours":11.043053634643458,"endHours":12.043053634643458,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:03","end":"13:03","startHours":12.043053634643458,"endHours":13.043053634643458,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:03","end":"14:03","startHours":13.043053634643458,"endHours":14.043053634643458,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:03","end":"15:03","startHours":14.043053634643458,"endHours":15.043053634643458,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:03","end":"16:03","startHours":15.043053634643458,"endHours":16.043053634643456,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:03","end":"17:03","startHours":16.043053634643456,"endHours":17.043053634643456,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:03","end":"18:03","startHours":17.043053634643456,"endHours":18.043053634643456,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:03","end":"19:03","startHours":18.043053634643456,"endHours":19.043053634643456,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:03","end":"20:03","startHours":19.043053634643456,"endHours":20.043053634643456,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:03","end":"21:03","startHours":20.043053634643456,"endHours":21.043053634643456,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:03","end":"22:03","startHours":21.043053634643456,"endHours":22.043053634643456,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:03","end":"23:03","startHours":22.043053634643456,"endHours":23.043053634643456,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:03","end":"00:03","startHours":23.043053634643456,"endHours":24.043053634643456,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:03","end":"01:03","startHours":24.043053634643456,"endHours":25.043053634643456,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:03","end":"02:03","startHours":25.043053634643456,"endHours":26.043053634643456,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:03","end":"03:03","startHours":26.043053634643456,"endHours":27.043053634643456,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:03","end":"04:03","startHours":27.043053634643456,"endHours":28.043053634643456,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:03","end":"05:03","startHours":28.043053634643456,"endHours":29.043053634643456,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:03","end":"06:03","startHours":29.043053634643456,"endHours":30.043053634643456,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Vajra","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":4.108436971231087,"eotMinutes":4.383515547985428,"ayanamsa":23.9186}},"calendars":{"vikram_samvat":2061,"vikram_samvatsara":"Hemalambī","saka_samvat":1926,"saka_samvatsara":"Tāraṇa","bengali_samvat":1411,"malayalam_era":1180,"nanakshahi_year":535,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Trayodaśī · Vikram 2061 Hemalambī · Śaka 1926 Tāraṇa"},"festivals":[{"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},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 12, 2004 CE · Mathurā · Vidhyamitra","description":"September 12, 2004 CE for Mathurā: Kṛṣṇa Trayodaśī, sūryodaya 06:03, sūryāsta 18:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2004-09-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2004-09-12","sa":"https://sa.vidhyamitra.com/city/mathura/2004-09-12","hi":"https://hi.vidhyamitra.com/city/mathura/2004-09-12","x-default":"https://vidhyamitra.com/city/mathura/2004-09-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:07:02.599Z","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":"2026-05-14T17:07:02.599Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:07:02.599Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}