{"id":"vidhyamitra:city-day:mathura:1966-08-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1966-08-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1966-08-20","date_display":"August 20, 1966 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":1966,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2439357.770833,"kali_year":5068,"ahargana":1850892.2708,"sun":{"sidereal_longitude":122.641,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":169.7072,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":47.0662,"elapsed_within_tithi_degrees":11.0662},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.7072,"elapsed_within_degrees":9.7072},"yoga":{"number":22,"name":"Sādhya","sum_longitude":292.3482},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":1966,"month":8,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2439357.770833,"ahargana":1850892.2708,"kali_year":5068,"ayanamsa_lahiri":23.3869,"grahas":{"sun":{"sidereal_longitude":123.19785200000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":173.19175199999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":2.9572},"mars":{"sidereal_longitude":93.49465199999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":105.67755199999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":90.222152,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"venus":{"sidereal_longitude":102.61695199999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":335.733152,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":30.8204,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":210.8204,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","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":1966,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2439357.770833,"kali_year":5068,"ahargana":1850892.2708,"sun":{"sidereal_longitude":122.641,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":169.7072,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":47.0662,"elapsed_within_tithi_degrees":11.0662},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.7072,"elapsed_within_degrees":9.7072},"yoga":{"number":22,"name":"Sādhya","sum_longitude":292.3482},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.957,"elongation":47.066},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.957,"opposition_distance":132.934}},"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":"05:52","sunsetLocal":"18:53","solarNoonLocal":"12:22","dayLengthHours":13.023824797320465,"dayLengthDisplay":"13 Hours 01 Mins 26 Secs","nightLengthDisplay":"10 Hours 58 Mins 34 Secs","moonriseLocal":"09:53","moonsetLocal":"21:31","rahuKala":{"name":"Rāhu Kāla","start":"09:07","end":"10:45","startHours":9.11663064917872,"endHours":10.74460874884378,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:00","end":"15:38","startHours":14.000564948173896,"endHours":15.628543047838953,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:52","end":"07:29","startHours":5.860674449848605,"endHours":7.488652549513663,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.899566902556714,"endHours":9.333694395800729,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:24","end":"06:45","startHours":6.403333816403625,"endHours":6.750635810998837,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:48","startHours":11.938459355264824,"endHours":12.806714341752853,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:07","end":"05:00","startHours":4.124164476872543,"endHours":4.992419463360574,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:47","end":"05:52","startHours":4.7753557167385665,"endHours":5.860674449848605,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:33","end":"15:25","startHours":14.543224314728914,"endHours":15.411479301216945,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:41","end":"19:05","startHours":18.68449924716907,"endHours":19.08449924716907,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:53","end":"19:26","startHours":18.88449924716907,"endHours":19.42715861372409,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:38","end":"20:23","startHours":18.63449924716907,"endHours":20.38449924716907,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:48","startHours":23.938459355264822,"endHours":24.806714341752855,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:52","end":"07:29","startHours":5.860674449848605,"endHours":7.488652549513663,"quality":"inauspicious"},{"name":"Śubha","start":"07:29","end":"09:07","startHours":7.488652549513663,"endHours":9.11663064917872,"quality":"auspicious"},{"name":"Roga","start":"09:07","end":"10:45","startHours":9.11663064917872,"endHours":10.74460874884378,"quality":"inauspicious"},{"name":"Udveg","start":"10:45","end":"12:22","startHours":10.74460874884378,"endHours":12.372586848508838,"quality":"inauspicious"},{"name":"Chala","start":"12:22","end":"14:00","startHours":12.372586848508838,"endHours":14.000564948173896,"quality":"neutral"},{"name":"Labha","start":"14:00","end":"15:38","startHours":14.000564948173896,"endHours":15.628543047838953,"quality":"auspicious"},{"name":"Amṛta","start":"15:38","end":"17:15","startHours":15.628543047838953,"endHours":17.256521147504014,"quality":"auspicious"},{"name":"Kāla","start":"17:15","end":"18:53","startHours":17.256521147504014,"endHours":18.88449924716907,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:53","end":"20:15","startHours":18.88449924716907,"endHours":20.256521147504014,"quality":"auspicious"},{"name":"Amṛta","start":"20:15","end":"21:38","startHours":20.256521147504014,"endHours":21.628543047838953,"quality":"auspicious"},{"name":"Kāla","start":"21:38","end":"23:00","startHours":21.628543047838953,"endHours":23.000564948173896,"quality":"inauspicious"},{"name":"Śubha","start":"23:00","end":"00:22","startHours":23.000564948173896,"endHours":24.37258684850884,"quality":"auspicious"},{"name":"Roga","start":"00:22","end":"01:45","startHours":24.37258684850884,"endHours":25.74460874884378,"quality":"inauspicious"},{"name":"Udveg","start":"01:45","end":"03:07","startHours":25.74460874884378,"endHours":27.116630649178724,"quality":"inauspicious"},{"name":"Chala","start":"03:07","end":"04:29","startHours":27.116630649178724,"endHours":28.488652549513663,"quality":"neutral"},{"name":"Labha","start":"04:29","end":"05:52","startHours":28.488652549513663,"endHours":29.860674449848606,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:52","end":"06:52","startHours":5.860674449848605,"endHours":6.860674449848605,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:52","end":"07:52","startHours":6.860674449848605,"endHours":7.860674449848605,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:52","end":"08:52","startHours":7.860674449848605,"endHours":8.860674449848606,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:52","end":"09:52","startHours":8.860674449848606,"endHours":9.860674449848606,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:52","end":"10:52","startHours":9.860674449848606,"endHours":10.860674449848606,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:52","end":"11:52","startHours":10.860674449848606,"endHours":11.860674449848606,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:52","end":"12:52","startHours":11.860674449848606,"endHours":12.860674449848606,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:52","end":"13:52","startHours":12.860674449848606,"endHours":13.860674449848606,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:52","end":"14:52","startHours":13.860674449848606,"endHours":14.860674449848606,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:52","end":"15:52","startHours":14.860674449848606,"endHours":15.860674449848606,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:52","end":"16:52","startHours":15.860674449848606,"endHours":16.860674449848606,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:52","end":"17:52","startHours":16.860674449848606,"endHours":17.860674449848606,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:52","end":"18:52","startHours":17.860674449848606,"endHours":18.860674449848606,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:52","end":"19:52","startHours":18.860674449848606,"endHours":19.860674449848606,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:52","end":"20:52","startHours":19.860674449848606,"endHours":20.860674449848606,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:52","end":"21:52","startHours":20.860674449848606,"endHours":21.860674449848606,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:52","end":"22:52","startHours":21.860674449848606,"endHours":22.860674449848606,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:52","end":"23:52","startHours":22.860674449848606,"endHours":23.860674449848606,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:52","end":"00:52","startHours":23.860674449848606,"endHours":24.860674449848606,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:52","end":"01:52","startHours":24.860674449848606,"endHours":25.860674449848606,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:52","end":"02:52","startHours":25.860674449848606,"endHours":26.860674449848606,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:52","end":"03:52","startHours":26.860674449848606,"endHours":27.860674449848606,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:52","end":"04:52","startHours":27.860674449848606,"endHours":28.860674449848606,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:52","end":"05:52","startHours":28.860674449848606,"endHours":29.860674449848606,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":12.652208645754897,"eotMinutes":-3.0500109105302213,"ayanamsa":23.3869}},"calendars":{"vikram_samvat":2023,"vikram_samvatsara":"Siddhārthī","saka_samvat":1888,"saka_samvatsara":"Parābhava","bengali_samvat":1373,"malayalam_era":1142,"nanakshahi_year":497,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Caturthī · Vikram 2023 Siddhārthī · Śaka 1888 Parābhava"},"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 August 20, 1966 CE · Mathurā · Vidhyamitra","description":"August 20, 1966 CE for Mathurā: Śukla Caturthī, sūryodaya 05:52, sūryāsta 18:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1966-08-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1966-08-20","sa":"https://sa.vidhyamitra.com/city/mathura/1966-08-20","hi":"https://hi.vidhyamitra.com/city/mathura/1966-08-20","x-default":"https://vidhyamitra.com/city/mathura/1966-08-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:02:05.611Z","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":"2026-05-14T16:02:05.611Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:02:05.611Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}