{"id":"vidhyamitra:city-day:mathura:2052-09-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2052-09-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2052-09-01","date_display":"September 1, 2052 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":2052,"month":9,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470781.770833,"kali_year":5154,"ahargana":1882316.2708,"sun":{"sidereal_longitude":133.9273,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":222.4966,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":88.5693,"elapsed_within_tithi_degrees":4.5693},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":222.4966,"elapsed_within_degrees":9.1632},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":356.4239},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"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":2052,"month":9,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470781.770833,"ahargana":1882316.2708,"kali_year":5154,"ayanamsa_lahiri":24.5887,"grahas":{"sun":{"sidereal_longitude":134.74152400000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":221.81062399999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false,"latitude":3.7587},"mars":{"sidereal_longitude":14.71732400000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":133.63642399999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":163.12912400000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":90.368424,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":303.0691240000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":165.8256,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":345.8256,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":2052,"month":9,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470781.770833,"kali_year":5154,"ahargana":1882316.2708,"sun":{"sidereal_longitude":133.9273,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":222.4966,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":88.5693,"elapsed_within_tithi_degrees":4.5693},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":222.4966,"elapsed_within_degrees":9.1632},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":356.4239},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.759,"elongation":88.569},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.759,"opposition_distance":91.431}},"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":"05:58","sunsetLocal":"18:40","solarNoonLocal":"12:19","dayLengthHours":12.69111548135583,"dayLengthDisplay":"12 Hours 41 Mins 28 Secs","nightLengthDisplay":"11 Hours 18 Mins 32 Secs","moonriseLocal":"12:51","moonsetLocal":"23:23","rahuKala":{"name":"Rāhu Kāla","start":"17:04","end":"18:40","startHours":17.072988008657212,"endHours":18.659377443826692,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:19","end":"13:54","startHours":12.313819703148777,"endHours":13.900209138318257,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:29","end":"17:04","startHours":15.486598573487734,"endHours":17.072988008657212,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.929522241453888,"endHours":9.35255942416575,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:30","end":"06:50","startHours":6.497058440860688,"endHours":6.835488187030177,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:44","startHours":11.890782520436916,"endHours":12.736856885860638,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:17","end":"05:07","startHours":4.276113231623418,"endHours":5.12218759704714,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:55","end":"05:58","startHours":4.91066900569121,"endHours":5.968261962470862,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:17","startHours":14.429005616708082,"endHours":15.275079982131803,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:28","end":"18:52","startHours":18.459377443826693,"endHours":18.85937744382669,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:40","end":"19:11","startHours":18.659377443826692,"endHours":19.188173922216517,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:25","end":"20:10","startHours":18.409377443826692,"endHours":20.159377443826692,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:44","startHours":23.890782520436915,"endHours":24.73685688586064,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:58","end":"07:33","startHours":5.968261962470862,"endHours":7.554651397640341,"quality":"inauspicious"},{"name":"Chala","start":"07:33","end":"09:08","startHours":7.554651397640341,"endHours":9.14104083280982,"quality":"neutral"},{"name":"Labha","start":"09:08","end":"10:44","startHours":9.14104083280982,"endHours":10.727430267979297,"quality":"auspicious"},{"name":"Amṛta","start":"10:44","end":"12:19","startHours":10.727430267979297,"endHours":12.313819703148777,"quality":"auspicious"},{"name":"Kāla","start":"12:19","end":"13:54","startHours":12.313819703148777,"endHours":13.900209138318257,"quality":"inauspicious"},{"name":"Śubha","start":"13:54","end":"15:29","startHours":13.900209138318257,"endHours":15.486598573487734,"quality":"auspicious"},{"name":"Roga","start":"15:29","end":"17:04","startHours":15.486598573487734,"endHours":17.072988008657212,"quality":"inauspicious"},{"name":"Udveg","start":"17:04","end":"18:40","startHours":17.072988008657212,"endHours":18.659377443826692,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:40","end":"20:04","startHours":18.659377443826692,"endHours":20.072988008657212,"quality":"auspicious"},{"name":"Roga","start":"20:04","end":"21:29","startHours":20.072988008657212,"endHours":21.486598573487733,"quality":"inauspicious"},{"name":"Udveg","start":"21:29","end":"22:54","startHours":21.486598573487733,"endHours":22.900209138318257,"quality":"inauspicious"},{"name":"Chala","start":"22:54","end":"00:19","startHours":22.900209138318257,"endHours":24.313819703148777,"quality":"neutral"},{"name":"Labha","start":"00:19","end":"01:44","startHours":24.313819703148777,"endHours":25.727430267979297,"quality":"auspicious"},{"name":"Amṛta","start":"01:44","end":"03:08","startHours":25.727430267979297,"endHours":27.14104083280982,"quality":"auspicious"},{"name":"Kāla","start":"03:08","end":"04:33","startHours":27.14104083280982,"endHours":28.55465139764034,"quality":"inauspicious"},{"name":"Śubha","start":"04:33","end":"05:58","startHours":28.55465139764034,"endHours":29.968261962470862,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:58","end":"06:58","startHours":5.968261962470862,"endHours":6.968261962470862,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:58","end":"07:58","startHours":6.968261962470862,"endHours":7.968261962470862,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:58","end":"08:58","startHours":7.968261962470862,"endHours":8.968261962470862,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:58","end":"09:58","startHours":8.968261962470862,"endHours":9.968261962470862,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:58","end":"10:58","startHours":9.968261962470862,"endHours":10.968261962470862,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:58","end":"11:58","startHours":10.968261962470862,"endHours":11.968261962470862,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:58","end":"12:58","startHours":11.968261962470862,"endHours":12.968261962470862,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:58","end":"13:58","startHours":12.968261962470862,"endHours":13.968261962470862,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:58","end":"14:58","startHours":13.968261962470862,"endHours":14.968261962470862,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:58","end":"15:58","startHours":14.968261962470862,"endHours":15.968261962470862,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:58","end":"16:58","startHours":15.968261962470862,"endHours":16.968261962470862,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:58","end":"17:58","startHours":16.968261962470862,"endHours":17.968261962470862,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:58","end":"18:58","startHours":17.968261962470862,"endHours":18.968261962470862,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:58","end":"19:58","startHours":18.968261962470862,"endHours":19.968261962470862,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:58","end":"20:58","startHours":19.968261962470862,"endHours":20.968261962470862,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:58","end":"21:58","startHours":20.968261962470862,"endHours":21.968261962470862,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:58","end":"22:58","startHours":21.968261962470862,"endHours":22.968261962470862,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:58","end":"23:58","startHours":22.968261962470862,"endHours":23.968261962470862,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:58","end":"00:58","startHours":23.968261962470862,"endHours":24.968261962470862,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:58","end":"01:58","startHours":24.968261962470862,"endHours":25.968261962470862,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:58","end":"02:58","startHours":25.968261962470862,"endHours":26.968261962470862,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:58","end":"03:58","startHours":26.968261962470862,"endHours":27.968261962470862,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:58","end":"04:58","startHours":27.968261962470862,"endHours":28.968261962470862,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:58","end":"05:58","startHours":28.968261962470862,"endHours":29.968261962470862,"planetary_lord":"Jupiter"}],"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":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","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":8.070538162016696,"eotMinutes":0.47601781107335894,"ayanamsa":24.5887}},"calendars":{"vikram_samvat":2109,"vikram_samvatsara":"Pārthiva","saka_samvat":1974,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1459,"malayalam_era":1228,"nanakshahi_year":583,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Aṣṭamī · Vikram 2109 Pārthiva · Śaka 1974 Aṅgirasa"},"festivals":[{"id":"radhashtami","name":"Rādhāṣṭamī","name_sanskrit":"राधाष्टमी","tradition":"Vaishnava","associated_deity":"Śrī Rādhā (Krishna's hlādinī-śakti)","significance":"Manifestation of Śrī Rādhā at Barsānā — Krishna's ādi-śakti.","vrata":true,"detection":{"tithi_number":8,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":2,"sources":["Padma Purāṇa","Brahma-Vaivarta Purāṇa"]},{"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":"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":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","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 September 1, 2052 CE · Mathurā · Vidhyamitra","description":"September 1, 2052 CE for Mathurā: Śukla Aṣṭamī, sūryodaya 05:58, sūryāsta 18:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2052-09-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2052-09-01","sa":"https://sa.vidhyamitra.com/city/mathura/2052-09-01","hi":"https://hi.vidhyamitra.com/city/mathura/2052-09-01","x-default":"https://vidhyamitra.com/city/mathura/2052-09-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:02:07.421Z","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":"2026-05-14T17:02:07.421Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:02:07.421Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}