{"id":"vidhyamitra:city-day:mathura:1964-08-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1964-08-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1964-08-16","date_display":"August 16, 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":8,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438623.770833,"kali_year":5066,"ahargana":1850158.2708,"sun":{"sidereal_longitude":119.3079,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":218.1626,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":98.8547,"elapsed_within_tithi_degrees":2.8547},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":218.1626,"elapsed_within_degrees":4.8293},"yoga":{"number":26,"name":"Indra","sum_longitude":337.4705},"karana":{"half_tithi_index":16,"name":"Bālava"},"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":1964,"month":8,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438623.770833,"ahargana":1850158.2708,"kali_year":5066,"ayanamsa_lahiri":23.3588,"grahas":{"sun":{"sidereal_longitude":119.843096,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":219.72319600000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false,"latitude":2.3527},"mars":{"sidereal_longitude":77.92239599999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":144.67069600000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":32.065495999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":75.214696,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":309.68459600000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":69.7112,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":249.7112,"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":8,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438623.770833,"kali_year":5066,"ahargana":1850158.2708,"sun":{"sidereal_longitude":119.3079,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":218.1626,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":98.8547,"elapsed_within_tithi_degrees":2.8547},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":218.1626,"elapsed_within_degrees":4.8293},"yoga":{"number":26,"name":"Indra","sum_longitude":337.4705},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.353,"elongation":98.855},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.353,"opposition_distance":81.145}},"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":"05:50","sunsetLocal":"18:57","solarNoonLocal":"12:23","dayLengthHours":13.108012042148838,"dayLengthDisplay":"13 Hours 06 Mins 29 Secs","nightLengthDisplay":"10 Hours 53 Mins 31 Secs","moonriseLocal":"13:45","moonsetLocal":"00:20","rahuKala":{"name":"Rāhu Kāla","start":"17:18","end":"18:57","startHours":17.30342210909135,"endHours":18.941923614359958,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:23","end":"14:02","startHours":12.38791759328554,"endHours":14.026419098554143,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:40","end":"17:18","startHours":15.664920603822749,"endHours":17.30342210909135,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.892447715379182,"endHours":9.329381450117477,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:23","end":"06:44","startHours":6.380078740633988,"endHours":6.729625728424624,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:49","startHours":11.950983858547245,"endHours":12.824851328023835,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:05","end":"04:58","startHours":4.086176633257941,"endHours":4.960044102734531,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:44","end":"05:50","startHours":4.741577235365384,"endHours":5.83391157221112,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:27","startHours":14.572586266977012,"endHours":15.446453736453602,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:45","end":"19:09","startHours":18.74192361435996,"endHours":19.141923614359957,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:57","end":"19:29","startHours":18.941923614359958,"endHours":19.488090782782827,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:42","end":"20:27","startHours":18.691923614359958,"endHours":20.441923614359958,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:49","startHours":23.950983858547247,"endHours":24.824851328023833,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:50","end":"07:28","startHours":5.83391157221112,"endHours":7.472413077479724,"quality":"inauspicious"},{"name":"Chala","start":"07:28","end":"09:07","startHours":7.472413077479724,"endHours":9.110914582748329,"quality":"neutral"},{"name":"Labha","start":"09:07","end":"10:45","startHours":9.110914582748329,"endHours":10.749416088016934,"quality":"auspicious"},{"name":"Amṛta","start":"10:45","end":"12:23","startHours":10.749416088016934,"endHours":12.38791759328554,"quality":"auspicious"},{"name":"Kāla","start":"12:23","end":"14:02","startHours":12.38791759328554,"endHours":14.026419098554143,"quality":"inauspicious"},{"name":"Śubha","start":"14:02","end":"15:40","startHours":14.026419098554143,"endHours":15.664920603822749,"quality":"auspicious"},{"name":"Roga","start":"15:40","end":"17:18","startHours":15.664920603822749,"endHours":17.30342210909135,"quality":"inauspicious"},{"name":"Udveg","start":"17:18","end":"18:57","startHours":17.30342210909135,"endHours":18.941923614359958,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:57","end":"20:18","startHours":18.941923614359958,"endHours":20.303422109091354,"quality":"auspicious"},{"name":"Roga","start":"20:18","end":"21:40","startHours":20.303422109091354,"endHours":21.664920603822747,"quality":"inauspicious"},{"name":"Udveg","start":"21:40","end":"23:02","startHours":21.664920603822747,"endHours":23.026419098554143,"quality":"inauspicious"},{"name":"Chala","start":"23:02","end":"00:23","startHours":23.026419098554143,"endHours":24.38791759328554,"quality":"neutral"},{"name":"Labha","start":"00:23","end":"01:45","startHours":24.38791759328554,"endHours":25.749416088016936,"quality":"auspicious"},{"name":"Amṛta","start":"01:45","end":"03:07","startHours":25.749416088016936,"endHours":27.11091458274833,"quality":"auspicious"},{"name":"Kāla","start":"03:07","end":"04:28","startHours":27.11091458274833,"endHours":28.472413077479725,"quality":"inauspicious"},{"name":"Śubha","start":"04:28","end":"05:50","startHours":28.472413077479725,"endHours":29.83391157221112,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.83391157221112,"endHours":6.83391157221112,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.83391157221112,"endHours":7.83391157221112,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.83391157221112,"endHours":8.83391157221112,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.83391157221112,"endHours":9.83391157221112,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.83391157221112,"endHours":10.83391157221112,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.83391157221112,"endHours":11.83391157221112,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.83391157221112,"endHours":12.83391157221112,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.83391157221112,"endHours":13.83391157221112,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.83391157221112,"endHours":14.83391157221112,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.83391157221112,"endHours":15.83391157221112,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.83391157221112,"endHours":16.83391157221112,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.83391157221112,"endHours":17.83391157221112,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.83391157221112,"endHours":18.83391157221112,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.83391157221112,"endHours":19.83391157221112,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.83391157221112,"endHours":20.83391157221112,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.83391157221112,"endHours":21.83391157221112,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.83391157221112,"endHours":22.83391157221112,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.83391157221112,"endHours":23.83391157221112,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.83391157221112,"endHours":24.83391157221112,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.83391157221112,"endHours":25.83391157221112,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.83391157221112,"endHours":26.83391157221112,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.83391157221112,"endHours":27.83391157221112,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.83391157221112,"endHours":28.83391157221112,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.83391157221112,"endHours":29.83391157221112,"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":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":13.782721864771565,"eotMinutes":-3.969855597132357,"ayanamsa":23.3588}},"calendars":{"vikram_samvat":2021,"vikram_samvatsara":"Piṅgala","saka_samvat":1886,"saka_samvatsara":"Krodhi","bengali_samvat":1371,"malayalam_era":1140,"nanakshahi_year":495,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Navamī · Vikram 2021 Piṅgala · Śaka 1886 Krodhi"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"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":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","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 August 16, 1964 CE · Mathurā · Vidhyamitra","description":"August 16, 1964 CE for Mathurā: Śukla Navamī, sūryodaya 05:50, sūryāsta 18:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1964-08-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1964-08-16","sa":"https://sa.vidhyamitra.com/city/mathura/1964-08-16","hi":"https://hi.vidhyamitra.com/city/mathura/1964-08-16","x-default":"https://vidhyamitra.com/city/mathura/1964-08-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:57:20.218Z","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":"2026-05-14T14:57:20.218Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:57:20.218Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}