{"id":"vidhyamitra:city-day:mathura:2012-10-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2012-10-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2012-10-05","date_display":"October 5, 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":10,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456205.770833,"kali_year":5114,"ahargana":1867740.2708,"sun":{"sidereal_longitude":167.3991,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":45.2466,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":237.8475,"elapsed_within_tithi_degrees":9.8475},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":45.2466,"elapsed_within_degrees":5.2466},"yoga":{"number":16,"name":"Siddhi","sum_longitude":212.6457},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":10,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456205.770833,"ahargana":1867740.2708,"kali_year":5114,"ayanamsa_lahiri":24.0313,"grahas":{"sun":{"sidereal_longitude":168.17473500000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":42.45163500000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":-0.5568},"mars":{"sidereal_longitude":214.34903499999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":185.10863500000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":52.00333499999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":127.84603500000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":185.60373500000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":218.1323,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":38.1323,"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":10,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456205.770833,"kali_year":5114,"ahargana":1867740.2708,"sun":{"sidereal_longitude":167.3991,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":45.2466,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":237.8475,"elapsed_within_tithi_degrees":9.8475},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":45.2466,"elapsed_within_degrees":5.2466},"yoga":{"number":16,"name":"Siddhi","sum_longitude":212.6457},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.557,"elongation":122.152},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.557,"opposition_distance":57.848}},"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":"06:13","sunsetLocal":"18:01","solarNoonLocal":"12:07","dayLengthHours":11.790121009973607,"dayLengthDisplay":"11 Hours 47 Mins 24 Secs","nightLengthDisplay":"12 Hours 12 Mins 36 Secs","moonriseLocal":"20:54","moonsetLocal":"10:34","rahuKala":{"name":"Rāhu Kāla","start":"10:38","end":"12:07","startHours":10.641450202747151,"endHours":12.115215328993852,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:04","end":"16:32","startHours":15.062745581487253,"endHours":16.536510707733953,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:42","end":"09:10","startHours":7.693919950253749,"endHours":9.16768507650045,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:22","startHours":8.971183059667556,"endHours":9.364187093333342,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:43","end":"07:02","startHours":6.711409866089281,"endHours":7.0258130930219105,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:43","end":"12:30","startHours":11.722211295328064,"endHours":12.508219362659636,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:39","end":"05:26","startHours":4.6481386893439,"endHours":5.4341467566754735,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:14","end":"06:13","startHours":5.2376447398425805,"endHours":6.2201548240070474,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:52","startHours":14.080235497322786,"endHours":14.86624356465436,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:49","end":"18:13","startHours":17.810275833980654,"endHours":18.210275833980653,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:01","end":"18:30","startHours":18.010275833980653,"endHours":18.501530876062887,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:46","end":"19:31","startHours":17.760275833980653,"endHours":19.510275833980653,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:43","end":"00:30","startHours":23.722211295328062,"endHours":24.508219362659634,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:13","end":"07:42","startHours":6.2201548240070474,"endHours":7.693919950253749,"quality":"neutral"},{"name":"Labha","start":"07:42","end":"09:10","startHours":7.693919950253749,"endHours":9.16768507650045,"quality":"auspicious"},{"name":"Amṛta","start":"09:10","end":"10:38","startHours":9.16768507650045,"endHours":10.641450202747151,"quality":"auspicious"},{"name":"Kāla","start":"10:38","end":"12:07","startHours":10.641450202747151,"endHours":12.115215328993852,"quality":"inauspicious"},{"name":"Śubha","start":"12:07","end":"13:35","startHours":12.115215328993852,"endHours":13.588980455240552,"quality":"auspicious"},{"name":"Roga","start":"13:35","end":"15:04","startHours":13.588980455240552,"endHours":15.062745581487253,"quality":"inauspicious"},{"name":"Udveg","start":"15:04","end":"16:32","startHours":15.062745581487253,"endHours":16.536510707733953,"quality":"inauspicious"},{"name":"Chala","start":"16:32","end":"18:01","startHours":16.536510707733953,"endHours":18.010275833980653,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:01","end":"19:32","startHours":18.010275833980653,"endHours":19.536510707733953,"quality":"inauspicious"},{"name":"Udveg","start":"19:32","end":"21:04","startHours":19.536510707733953,"endHours":21.062745581487253,"quality":"inauspicious"},{"name":"Chala","start":"21:04","end":"22:35","startHours":21.062745581487253,"endHours":22.588980455240552,"quality":"neutral"},{"name":"Labha","start":"22:35","end":"00:07","startHours":22.588980455240552,"endHours":24.11521532899385,"quality":"auspicious"},{"name":"Amṛta","start":"00:07","end":"01:38","startHours":24.11521532899385,"endHours":25.64145020274715,"quality":"auspicious"},{"name":"Kāla","start":"01:38","end":"03:10","startHours":25.64145020274715,"endHours":27.167685076500447,"quality":"inauspicious"},{"name":"Śubha","start":"03:10","end":"04:42","startHours":27.167685076500447,"endHours":28.693919950253747,"quality":"auspicious"},{"name":"Roga","start":"04:42","end":"06:13","startHours":28.693919950253747,"endHours":30.220154824007047,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:13","end":"07:13","startHours":6.2201548240070474,"endHours":7.2201548240070474,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:13","end":"08:13","startHours":7.2201548240070474,"endHours":8.220154824007047,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:13","end":"09:13","startHours":8.220154824007047,"endHours":9.220154824007047,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:13","end":"10:13","startHours":9.220154824007047,"endHours":10.220154824007047,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:13","end":"11:13","startHours":10.220154824007047,"endHours":11.220154824007047,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:13","end":"12:13","startHours":11.220154824007047,"endHours":12.220154824007047,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:13","end":"13:13","startHours":12.220154824007047,"endHours":13.220154824007047,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:13","end":"14:13","startHours":13.220154824007047,"endHours":14.220154824007047,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:13","end":"15:13","startHours":14.220154824007047,"endHours":15.220154824007047,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:13","end":"16:13","startHours":15.220154824007047,"endHours":16.220154824007047,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:13","end":"17:13","startHours":16.220154824007047,"endHours":17.220154824007047,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:13","end":"18:13","startHours":17.220154824007047,"endHours":18.220154824007047,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:13","end":"19:13","startHours":18.220154824007047,"endHours":19.220154824007047,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:13","end":"20:13","startHours":19.220154824007047,"endHours":20.220154824007047,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:13","end":"21:13","startHours":20.220154824007047,"endHours":21.220154824007047,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:13","end":"22:13","startHours":21.220154824007047,"endHours":22.220154824007047,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:13","end":"23:13","startHours":22.220154824007047,"endHours":23.220154824007047,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:13","end":"00:13","startHours":23.220154824007047,"endHours":24.220154824007047,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:13","end":"01:13","startHours":24.220154824007047,"endHours":25.220154824007047,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:13","end":"02:13","startHours":25.220154824007047,"endHours":26.220154824007047,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:13","end":"03:13","startHours":26.220154824007047,"endHours":27.220154824007047,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:13","end":"04:13","startHours":27.220154824007047,"endHours":28.220154824007047,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:13","end":"05:13","startHours":28.220154824007047,"endHours":29.220154824007047,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:13","end":"06:13","startHours":29.220154824007047,"endHours":30.220154824007047,"planetary_lord":"Mars"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-4.823794858251169,"eotMinutes":12.392280260369008,"ayanamsa":24.0313}},"calendars":{"vikram_samvat":2069,"vikram_samvatsara":"Viśvāvasu","saka_samvat":1934,"saka_samvatsara":"Nandana","bengali_samvat":1419,"malayalam_era":1188,"nanakshahi_year":543,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Pañcamī · Vikram 2069 Viśvāvasu · Śaka 1934 Nandana"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"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 October 5, 2012 CE · Mathurā · Vidhyamitra","description":"October 5, 2012 CE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 06:13, sūryāsta 18:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2012-10-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2012-10-05","sa":"https://sa.vidhyamitra.com/city/mathura/2012-10-05","hi":"https://hi.vidhyamitra.com/city/mathura/2012-10-05","x-default":"https://vidhyamitra.com/city/mathura/2012-10-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:21:21.790Z","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":"2026-05-14T16:21:21.790Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:21:21.790Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}