{"id":"vidhyamitra:city-day:mathura:2015-09-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2015-09-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2015-09-01","date_display":"September 1, 2015 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":2015,"month":9,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457266.770833,"kali_year":5117,"ahargana":1868801.2708,"sun":{"sidereal_longitude":133.5167,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":343.0915,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":209.5747,"elapsed_within_tithi_degrees":5.5747},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":343.0915,"elapsed_within_degrees":9.7581},"yoga":{"number":9,"name":"Śūla","sum_longitude":116.6082},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2015,"month":9,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2457266.770833,"ahargana":1868801.2708,"kali_year":5117,"ayanamsa_lahiri":24.0718,"grahas":{"sun":{"sidereal_longitude":134.23899700000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":346.123897,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false,"latitude":-0.0923},"mars":{"sidereal_longitude":110.55479700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":160.88789700000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":129.644097,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":110.54649700000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":214.699797,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":161.9154,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":341.9154,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":2015,"month":9,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2457266.770833,"kali_year":5117,"ahargana":1868801.2708,"sun":{"sidereal_longitude":133.5167,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":343.0915,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":209.5747,"elapsed_within_tithi_degrees":5.5747},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3,"moon_longitude":343.0915,"elapsed_within_degrees":9.7581},"yoga":{"number":9,"name":"Śūla","sum_longitude":116.6082},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.092,"elongation":150.425},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.092,"opposition_distance":29.575}},"eclipse_window_40days":[{"offset_days":12,"type":"solar","occurs":true,"moon_latitude":-1.372,"elongation":1.608}]},"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":"05:57","sunsetLocal":"18:40","solarNoonLocal":"12:19","dayLengthHours":12.718420909453798,"dayLengthDisplay":"12 Hours 43 Mins 06 Secs","nightLengthDisplay":"11 Hours 16 Mins 54 Secs","moonriseLocal":"20:15","moonsetLocal":"08:37","rahuKala":{"name":"Rāhu Kāla","start":"15:30","end":"17:05","startHours":15.493424930512226,"endHours":17.08322754419395,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:08","end":"10:43","startHours":9.134214475785328,"endHours":10.72401708946705,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:19","end":"13:54","startHours":12.313819703148777,"endHours":13.9036223168305,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:21","startHours":8.922240793961096,"endHours":9.346188157609557,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:49","startHours":6.484543452982452,"endHours":6.82370134390122,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:44","startHours":11.889872339500316,"endHours":12.737767066797238,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:16","end":"05:06","startHours":4.258819793828038,"endHours":5.106714521124958,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:54","end":"05:57","startHours":4.894740839300727,"endHours":5.954609248421877,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:17","startHours":14.433556521391075,"endHours":15.281451248687995,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:28","end":"18:52","startHours":18.473030157875677,"endHours":18.873030157875675,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:40","end":"19:12","startHours":18.673030157875676,"endHours":19.20296436243625,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:25","end":"20:10","startHours":18.423030157875676,"endHours":20.173030157875676,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:44","startHours":23.889872339500318,"endHours":24.737767066797236,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:57","end":"07:33","startHours":5.954609248421877,"endHours":7.544411862103602,"quality":"inauspicious"},{"name":"Udveg","start":"07:33","end":"09:08","startHours":7.544411862103602,"endHours":9.134214475785328,"quality":"inauspicious"},{"name":"Chala","start":"09:08","end":"10:43","startHours":9.134214475785328,"endHours":10.72401708946705,"quality":"neutral"},{"name":"Labha","start":"10:43","end":"12:19","startHours":10.72401708946705,"endHours":12.313819703148777,"quality":"auspicious"},{"name":"Amṛta","start":"12:19","end":"13:54","startHours":12.313819703148777,"endHours":13.9036223168305,"quality":"auspicious"},{"name":"Kāla","start":"13:54","end":"15:30","startHours":13.9036223168305,"endHours":15.493424930512226,"quality":"inauspicious"},{"name":"Śubha","start":"15:30","end":"17:05","startHours":15.493424930512226,"endHours":17.08322754419395,"quality":"auspicious"},{"name":"Roga","start":"17:05","end":"18:40","startHours":17.08322754419395,"endHours":18.673030157875676,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:40","end":"20:05","startHours":18.673030157875676,"endHours":20.083227544193953,"quality":"inauspicious"},{"name":"Śubha","start":"20:05","end":"21:30","startHours":20.083227544193953,"endHours":21.493424930512226,"quality":"auspicious"},{"name":"Roga","start":"21:30","end":"22:54","startHours":21.493424930512226,"endHours":22.9036223168305,"quality":"inauspicious"},{"name":"Udveg","start":"22:54","end":"00:19","startHours":22.9036223168305,"endHours":24.313819703148777,"quality":"inauspicious"},{"name":"Chala","start":"00:19","end":"01:43","startHours":24.313819703148777,"endHours":25.724017089467054,"quality":"neutral"},{"name":"Labha","start":"01:43","end":"03:08","startHours":25.724017089467054,"endHours":27.134214475785328,"quality":"auspicious"},{"name":"Amṛta","start":"03:08","end":"04:33","startHours":27.134214475785328,"endHours":28.5444118621036,"quality":"auspicious"},{"name":"Kāla","start":"04:33","end":"05:57","startHours":28.5444118621036,"endHours":29.954609248421878,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:57","end":"06:57","startHours":5.954609248421877,"endHours":6.954609248421877,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:57","end":"07:57","startHours":6.954609248421877,"endHours":7.954609248421877,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:57","end":"08:57","startHours":7.954609248421877,"endHours":8.954609248421878,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:57","end":"09:57","startHours":8.954609248421878,"endHours":9.954609248421878,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:57","end":"10:57","startHours":9.954609248421878,"endHours":10.954609248421878,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:57","end":"11:57","startHours":10.954609248421878,"endHours":11.954609248421878,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:57","end":"12:57","startHours":11.954609248421878,"endHours":12.954609248421878,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:57","end":"13:57","startHours":12.954609248421878,"endHours":13.954609248421878,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:57","end":"14:57","startHours":13.954609248421878,"endHours":14.954609248421878,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:57","end":"15:57","startHours":14.954609248421878,"endHours":15.954609248421878,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:57","end":"16:57","startHours":15.954609248421878,"endHours":16.954609248421878,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:57","end":"17:57","startHours":16.954609248421878,"endHours":17.954609248421878,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:57","end":"18:57","startHours":17.954609248421878,"endHours":18.954609248421878,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:57","end":"19:57","startHours":18.954609248421878,"endHours":19.954609248421878,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:57","end":"20:57","startHours":19.954609248421878,"endHours":20.954609248421878,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:57","end":"21:57","startHours":20.954609248421878,"endHours":21.954609248421878,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:57","end":"22:57","startHours":21.954609248421878,"endHours":22.954609248421878,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:57","end":"23:57","startHours":22.954609248421878,"endHours":23.954609248421878,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:57","end":"00:57","startHours":23.954609248421878,"endHours":24.954609248421878,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:57","end":"01:57","startHours":24.954609248421878,"endHours":25.954609248421878,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:57","end":"02:57","startHours":25.954609248421878,"endHours":26.954609248421878,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:57","end":"03:57","startHours":26.954609248421878,"endHours":27.954609248421878,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:57","end":"04:57","startHours":27.954609248421878,"endHours":28.954609248421878,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:57","end":"05:57","startHours":28.954609248421878,"endHours":29.954609248421878,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Dhvānkṣa","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":8.452570174592687,"eotMinutes":0.47601781107335894,"ayanamsa":24.0718}},"calendars":{"vikram_samvat":2072,"vikram_samvatsara":"Kīlaka","saka_samvat":1937,"saka_samvatsara":"Manmatha","bengali_samvat":1422,"malayalam_era":1191,"nanakshahi_year":546,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Tṛtīyā · Vikram 2072 Kīlaka · Śaka 1937 Manmatha"},"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}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 1, 2015 CE · Mathurā · Vidhyamitra","description":"September 1, 2015 CE for Mathurā: Kṛṣṇa Tṛtīyā, sūryodaya 05:57, sūryāsta 18:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2015-09-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2015-09-01","sa":"https://sa.vidhyamitra.com/city/mathura/2015-09-01","hi":"https://hi.vidhyamitra.com/city/mathura/2015-09-01","x-default":"https://vidhyamitra.com/city/mathura/2015-09-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T00:29:52.684Z","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":"2026-05-15T00:29:52.684Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T00:29:52.684Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}