{"id":"vidhyamitra:city-day:mathura:1964-09-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1964-09-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1964-09-01","date_display":"September 1, 1964 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":1964,"month":9,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438639.770833,"kali_year":5066,"ahargana":1850174.2708,"sun":{"sidereal_longitude":134.6702,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":67.9715,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":293.3013,"elapsed_within_tithi_degrees":5.3013},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":67.9715,"elapsed_within_degrees":1.3048},"yoga":{"number":16,"name":"Siddhi","sum_longitude":202.6417},"karana":{"half_tithi_index":48,"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":1964,"month":9,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438639.770833,"ahargana":1850174.2708,"kali_year":5066,"ayanamsa_lahiri":23.3594,"grahas":{"sun":{"sidereal_longitude":135.272785,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":67.08388500000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":-0.07},"mars":{"sidereal_longitude":88.23318499999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":138.29938499999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":33.16548499999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":89.89198499999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":308.4809849999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":68.8635,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":248.8635,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":1964,"month":9,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438639.770833,"kali_year":5066,"ahargana":1850174.2708,"sun":{"sidereal_longitude":134.6702,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":67.9715,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":293.3013,"elapsed_within_tithi_degrees":5.3013},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":67.9715,"elapsed_within_degrees":1.3048},"yoga":{"number":16,"name":"Siddhi","sum_longitude":202.6417},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.07,"elongation":66.699},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.07,"opposition_distance":113.301}},"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":12.709822722030276,"dayLengthDisplay":"12 Hours 42 Mins 35 Secs","nightLengthDisplay":"11 Hours 17 Mins 25 Secs","moonriseLocal":"00:51","moonsetLocal":"14:41","rahuKala":{"name":"Rāhu Kāla","start":"15:29","end":"17:05","startHours":15.491275383656346,"endHours":17.08000322391013,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:08","end":"10:44","startHours":9.136364022641207,"endHours":10.725091862894992,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:19","end":"13:54","startHours":12.313819703148777,"endHours":13.90254754340256,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:21","startHours":8.924533643940702,"endHours":9.348194401341711,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:50","startHours":6.4884842888849,"endHours":6.827412894805708,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:44","startHours":11.890158945747768,"endHours":12.737480460549786,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:16","end":"05:07","startHours":4.264265312529601,"endHours":5.111586827331619,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:54","end":"05:58","startHours":4.8997564486311145,"endHours":5.958908342133638,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:17","startHours":14.432123490153822,"endHours":15.279445004955841,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:28","end":"18:52","startHours":18.468731064163915,"endHours":18.868731064163914,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:40","end":"19:12","startHours":18.668731064163914,"endHours":19.198307010915176,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:25","end":"20:10","startHours":18.418731064163914,"endHours":20.168731064163914,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:44","startHours":23.890158945747768,"endHours":24.737480460549786,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:58","end":"07:33","startHours":5.958908342133638,"endHours":7.547636182387422,"quality":"inauspicious"},{"name":"Udveg","start":"07:33","end":"09:08","startHours":7.547636182387422,"endHours":9.136364022641207,"quality":"inauspicious"},{"name":"Chala","start":"09:08","end":"10:44","startHours":9.136364022641207,"endHours":10.725091862894992,"quality":"neutral"},{"name":"Labha","start":"10:44","end":"12:19","startHours":10.725091862894992,"endHours":12.313819703148777,"quality":"auspicious"},{"name":"Amṛta","start":"12:19","end":"13:54","startHours":12.313819703148777,"endHours":13.90254754340256,"quality":"auspicious"},{"name":"Kāla","start":"13:54","end":"15:29","startHours":13.90254754340256,"endHours":15.491275383656346,"quality":"inauspicious"},{"name":"Śubha","start":"15:29","end":"17:05","startHours":15.491275383656346,"endHours":17.08000322391013,"quality":"auspicious"},{"name":"Roga","start":"17:05","end":"18:40","startHours":17.08000322391013,"endHours":18.668731064163914,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:40","end":"20:05","startHours":18.668731064163914,"endHours":20.08000322391013,"quality":"inauspicious"},{"name":"Śubha","start":"20:05","end":"21:29","startHours":20.08000322391013,"endHours":21.491275383656344,"quality":"auspicious"},{"name":"Roga","start":"21:29","end":"22:54","startHours":21.491275383656344,"endHours":22.902547543402562,"quality":"inauspicious"},{"name":"Udveg","start":"22:54","end":"00:19","startHours":22.902547543402562,"endHours":24.313819703148777,"quality":"inauspicious"},{"name":"Chala","start":"00:19","end":"01:44","startHours":24.313819703148777,"endHours":25.725091862894992,"quality":"neutral"},{"name":"Labha","start":"01:44","end":"03:08","startHours":25.725091862894992,"endHours":27.136364022641207,"quality":"auspicious"},{"name":"Amṛta","start":"03:08","end":"04:33","startHours":27.136364022641207,"endHours":28.54763618238742,"quality":"auspicious"},{"name":"Kāla","start":"04:33","end":"05:58","startHours":28.54763618238742,"endHours":29.95890834213364,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:58","end":"06:58","startHours":5.958908342133638,"endHours":6.958908342133638,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:58","end":"07:58","startHours":6.958908342133638,"endHours":7.958908342133638,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:58","end":"08:58","startHours":7.958908342133638,"endHours":8.958908342133638,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:58","end":"09:58","startHours":8.958908342133638,"endHours":9.958908342133638,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:58","end":"10:58","startHours":9.958908342133638,"endHours":10.958908342133638,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:58","end":"11:58","startHours":10.958908342133638,"endHours":11.958908342133638,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:58","end":"12:58","startHours":11.958908342133638,"endHours":12.958908342133638,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:58","end":"13:58","startHours":12.958908342133638,"endHours":13.958908342133638,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:58","end":"14:58","startHours":13.958908342133638,"endHours":14.958908342133638,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:58","end":"15:58","startHours":14.958908342133638,"endHours":15.958908342133638,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:58","end":"16:58","startHours":15.958908342133638,"endHours":16.95890834213364,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:58","end":"17:58","startHours":16.95890834213364,"endHours":17.95890834213364,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:58","end":"18:58","startHours":17.95890834213364,"endHours":18.95890834213364,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:58","end":"19:58","startHours":18.95890834213364,"endHours":19.95890834213364,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:58","end":"20:58","startHours":19.95890834213364,"endHours":20.95890834213364,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:58","end":"21:58","startHours":20.95890834213364,"endHours":21.95890834213364,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:58","end":"22:58","startHours":21.95890834213364,"endHours":22.95890834213364,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:58","end":"23:58","startHours":22.95890834213364,"endHours":23.95890834213364,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:58","end":"00:58","startHours":23.95890834213364,"endHours":24.95890834213364,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:58","end":"01:58","startHours":24.95890834213364,"endHours":25.95890834213364,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:58","end":"02:58","startHours":25.95890834213364,"endHours":26.95890834213364,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:58","end":"03:58","startHours":26.95890834213364,"endHours":27.95890834213364,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:58","end":"04:58","startHours":27.95890834213364,"endHours":28.95890834213364,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:58","end":"05:58","startHours":28.95890834213364,"endHours":29.95890834213364,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Padma","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":8.332374555738218,"eotMinutes":0.47601781107335894,"ayanamsa":23.3594}},"calendars":{"vikram_samvat":2021,"vikram_samvatsara":"Piṅgala","saka_samvat":1886,"saka_samvatsara":"Krodhi","bengali_samvat":1371,"malayalam_era":1140,"nanakshahi_year":495,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Daśamī · Vikram 2021 Piṅgala · Śaka 1886 Krodhi"},"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, 1964 CE · Mathurā · Vidhyamitra","description":"September 1, 1964 CE for Mathurā: Kṛṣṇa Daśamī, sūryodaya 05:58, sūryāsta 18:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1964-09-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1964-09-01","sa":"https://sa.vidhyamitra.com/city/mathura/1964-09-01","hi":"https://hi.vidhyamitra.com/city/mathura/1964-09-01","x-default":"https://vidhyamitra.com/city/mathura/1964-09-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:37:42.488Z","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":"2026-05-14T14:37:42.488Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:37:42.488Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}