{"id":"vidhyamitra:city-day:mathura:2030-09-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2030-09-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2030-09-01","date_display":"September 1, 2030 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":2030,"month":9,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462745.770833,"kali_year":5132,"ahargana":1874280.2708,"sun":{"sidereal_longitude":133.6311,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":171.9493,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.3182,"elapsed_within_tithi_degrees":2.3182},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":171.9493,"elapsed_within_degrees":11.9493},"yoga":{"number":23,"name":"Śubha","sum_longitude":305.5804},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":2030,"month":9,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2462745.770833,"ahargana":1874280.2708,"kali_year":5132,"ayanamsa_lahiri":24.2814,"grahas":{"sun":{"sidereal_longitude":134.39085899999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":173.58305900000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false,"latitude":-3.8828},"mars":{"sidereal_longitude":105.58455900000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":129.96875899999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":206.82985899999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":120.88855899999999,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":44.19415900000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":231.6116,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":51.6116,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":2030,"month":9,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462745.770833,"kali_year":5132,"ahargana":1874280.2708,"sun":{"sidereal_longitude":133.6311,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":171.9493,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.3182,"elapsed_within_tithi_degrees":2.3182},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":171.9493,"elapsed_within_degrees":11.9493},"yoga":{"number":23,"name":"Śubha","sum_longitude":305.5804},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.883,"elongation":38.318},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.883,"opposition_distance":141.682}},"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":12.708749941907051,"dayLengthDisplay":"12 Hours 42 Mins 31 Secs","nightLengthDisplay":"11 Hours 17 Mins 29 Secs","moonriseLocal":"09:08","moonsetLocal":"20:44","rahuKala":{"name":"Rāhu Kāla","start":"17:05","end":"18:40","startHours":17.07960093136392,"endHours":18.668194674102303,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:19","end":"13:54","startHours":12.313819703148777,"endHours":13.90241344588716,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:29","end":"17:05","startHours":15.49100718862554,"endHours":17.07960093136392,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:21","startHours":8.92481971864023,"endHours":9.3484447167038,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:50","startHours":6.488975979774712,"endHours":6.827875978225567,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:44","startHours":11.890194705085209,"endHours":12.737444701212345,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:16","end":"05:07","startHours":4.264944739940978,"endHours":5.112194736068115,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:54","end":"05:58","startHours":4.900382237036331,"endHours":5.9594447321952515,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:17","startHours":14.431944693466619,"endHours":15.279194689593755,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:28","end":"18:52","startHours":18.468194674102303,"endHours":18.868194674102302,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:40","end":"19:12","startHours":18.668194674102303,"endHours":19.197725921681762,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:25","end":"20:10","startHours":18.418194674102303,"endHours":20.168194674102303,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:44","startHours":23.890194705085207,"endHours":24.737444701212347,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:58","end":"07:33","startHours":5.9594447321952515,"endHours":7.548038474933633,"quality":"inauspicious"},{"name":"Chala","start":"07:33","end":"09:08","startHours":7.548038474933633,"endHours":9.136632217672014,"quality":"neutral"},{"name":"Labha","start":"09:08","end":"10:44","startHours":9.136632217672014,"endHours":10.725225960410395,"quality":"auspicious"},{"name":"Amṛta","start":"10:44","end":"12:19","startHours":10.725225960410395,"endHours":12.313819703148777,"quality":"auspicious"},{"name":"Kāla","start":"12:19","end":"13:54","startHours":12.313819703148777,"endHours":13.90241344588716,"quality":"inauspicious"},{"name":"Śubha","start":"13:54","end":"15:29","startHours":13.90241344588716,"endHours":15.49100718862554,"quality":"auspicious"},{"name":"Roga","start":"15:29","end":"17:05","startHours":15.49100718862554,"endHours":17.07960093136392,"quality":"inauspicious"},{"name":"Udveg","start":"17:05","end":"18:40","startHours":17.07960093136392,"endHours":18.668194674102303,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:40","end":"20:05","startHours":18.668194674102303,"endHours":20.07960093136392,"quality":"auspicious"},{"name":"Roga","start":"20:05","end":"21:29","startHours":20.07960093136392,"endHours":21.491007188625538,"quality":"inauspicious"},{"name":"Udveg","start":"21:29","end":"22:54","startHours":21.491007188625538,"endHours":22.90241344588716,"quality":"inauspicious"},{"name":"Chala","start":"22:54","end":"00:19","startHours":22.90241344588716,"endHours":24.313819703148777,"quality":"neutral"},{"name":"Labha","start":"00:19","end":"01:44","startHours":24.313819703148777,"endHours":25.725225960410395,"quality":"auspicious"},{"name":"Amṛta","start":"01:44","end":"03:08","startHours":25.725225960410395,"endHours":27.136632217672016,"quality":"auspicious"},{"name":"Kāla","start":"03:08","end":"04:33","startHours":27.136632217672016,"endHours":28.548038474933634,"quality":"inauspicious"},{"name":"Śubha","start":"04:33","end":"05:58","startHours":28.548038474933634,"endHours":29.95944473219525,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:58","end":"06:58","startHours":5.9594447321952515,"endHours":6.9594447321952515,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:58","end":"07:58","startHours":6.9594447321952515,"endHours":7.9594447321952515,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:58","end":"08:58","startHours":7.9594447321952515,"endHours":8.959444732195252,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:58","end":"09:58","startHours":8.959444732195252,"endHours":9.959444732195252,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:58","end":"10:58","startHours":9.959444732195252,"endHours":10.959444732195252,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:58","end":"11:58","startHours":10.959444732195252,"endHours":11.959444732195252,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:58","end":"12:58","startHours":11.959444732195252,"endHours":12.959444732195252,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:58","end":"13:58","startHours":12.959444732195252,"endHours":13.959444732195252,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:58","end":"14:58","startHours":13.959444732195252,"endHours":14.959444732195252,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:58","end":"15:58","startHours":14.959444732195252,"endHours":15.959444732195252,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:58","end":"16:58","startHours":15.959444732195252,"endHours":16.95944473219525,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:58","end":"17:58","startHours":16.95944473219525,"endHours":17.95944473219525,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:58","end":"18:58","startHours":17.95944473219525,"endHours":18.95944473219525,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:58","end":"19:58","startHours":18.95944473219525,"endHours":19.95944473219525,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:58","end":"20:58","startHours":19.95944473219525,"endHours":20.95944473219525,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:58","end":"21:58","startHours":20.95944473219525,"endHours":21.95944473219525,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:58","end":"22:58","startHours":21.95944473219525,"endHours":22.95944473219525,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:58","end":"23:58","startHours":22.95944473219525,"endHours":23.95944473219525,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:58","end":"00:58","startHours":23.95944473219525,"endHours":24.95944473219525,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:58","end":"01:58","startHours":24.95944473219525,"endHours":25.95944473219525,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:58","end":"02:58","startHours":25.95944473219525,"endHours":26.95944473219525,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:58","end":"03:58","startHours":26.95944473219525,"endHours":27.95944473219525,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:58","end":"04:58","startHours":27.95944473219525,"endHours":28.95944473219525,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:58","end":"05:58","startHours":28.95944473219525,"endHours":29.95944473219525,"planetary_lord":"Jupiter"}],"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"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":8.317371325012456,"eotMinutes":0.47601781107335894,"ayanamsa":24.2814}},"calendars":{"vikram_samvat":2087,"vikram_samvatsara":"Rudhirodgāri","saka_samvat":1952,"saka_samvatsara":"Sādhāraṇa","bengali_samvat":1437,"malayalam_era":1206,"nanakshahi_year":561,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Caturthī · Vikram 2087 Rudhirodgāri · Śaka 1952 Sādhāraṇa"},"festivals":[{"id":"ganesha-chaturthi","name":"Gaṇeśa Caturthī","name_sanskrit":"गणेश चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Gaṇeśa's birth day; 11-day festival in Maharashtra.","vrata":false,"detection":{"tithi_number":4,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":1},{"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":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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 1, 2030 CE · Mathurā · Vidhyamitra","description":"September 1, 2030 CE for Mathurā: Śukla Caturthī, sūryodaya 05:58, sūryāsta 18:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2030-09-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2030-09-01","sa":"https://sa.vidhyamitra.com/city/mathura/2030-09-01","hi":"https://hi.vidhyamitra.com/city/mathura/2030-09-01","x-default":"https://vidhyamitra.com/city/mathura/2030-09-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:34:39.058Z","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":"2026-05-14T18:34:39.058Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T18:34:39.058Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}