{"id":"vidhyamitra:city-day:mathura:1964-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1964-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1964-01-20","date_display":"January 20, 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":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438414.770833,"kali_year":5065,"ahargana":1849949.2708,"sun":{"sidereal_longitude":275.6709,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":339.1724,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":63.5015,"elapsed_within_tithi_degrees":3.5015},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":339.1724,"elapsed_within_degrees":5.8391},"yoga":{"number":20,"name":"Śiva","sum_longitude":254.8433},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438414.770833,"ahargana":1849949.2708,"kali_year":5065,"ayanamsa_lahiri":23.3508,"grahas":{"sun":{"sidereal_longitude":275.6607819999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":337.667982,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":-4.4077},"mars":{"sidereal_longitude":282.45648200000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":252.84088199999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":350.305582,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":310.738282,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":299.80068200000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":80.7851,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":260.7851,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438414.770833,"kali_year":5065,"ahargana":1849949.2708,"sun":{"sidereal_longitude":275.6709,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":339.1724,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":63.5015,"elapsed_within_tithi_degrees":3.5015},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":339.1724,"elapsed_within_degrees":5.8391},"yoga":{"number":20,"name":"Śiva","sum_longitude":254.8433},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.408,"elongation":63.502},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.408,"opposition_distance":116.498}},"eclipse_window_40days":[{"offset_days":-5,"type":"solar","occurs":true,"moon_latitude":-0.89,"elongation":1.925}]},"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":"07:11","sunsetLocal":"17:50","solarNoonLocal":"12:30","dayLengthHours":10.651658033327308,"dayLengthDisplay":"10 Hours 39 Mins 06 Secs","nightLengthDisplay":"13 Hours 20 Mins 54 Secs","moonriseLocal":"10:35","moonsetLocal":"22:42","rahuKala":{"name":"Rāhu Kāla","start":"08:31","end":"09:50","startHours":8.510119959789417,"endHours":9.841577213955329,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:10","end":"12:30","startHours":11.173034468121244,"endHours":12.504491722287156,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:50","end":"15:10","startHours":13.835948976453071,"endHours":15.167406230618983,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.664049580066541,"endHours":10.019104847844119,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.622481790345474,"endHours":7.906526004567535,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:52","startHours":12.14943645450958,"endHours":12.859546990064732,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:28","startHours":5.758441634513195,"endHours":6.468552170068349,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:11","startHours":6.2910245361795605,"endHours":7.178662705623503,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"14:59","startHours":14.27976806117504,"endHours":14.989878596730195,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.63032073895081,"endHours":18.03032073895081,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:16","startHours":17.83032073895081,"endHours":18.274139823672783,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.58032073895081,"endHours":19.33032073895081,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:52","startHours":24.14943645450958,"endHours":24.859546990064732,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:11","end":"08:31","startHours":7.178662705623503,"endHours":8.510119959789417,"quality":"auspicious"},{"name":"Kāla","start":"08:31","end":"09:50","startHours":8.510119959789417,"endHours":9.841577213955329,"quality":"inauspicious"},{"name":"Śubha","start":"09:50","end":"11:10","startHours":9.841577213955329,"endHours":11.173034468121244,"quality":"auspicious"},{"name":"Roga","start":"11:10","end":"12:30","startHours":11.173034468121244,"endHours":12.504491722287156,"quality":"inauspicious"},{"name":"Udveg","start":"12:30","end":"13:50","startHours":12.504491722287156,"endHours":13.835948976453071,"quality":"inauspicious"},{"name":"Chala","start":"13:50","end":"15:10","startHours":13.835948976453071,"endHours":15.167406230618983,"quality":"neutral"},{"name":"Labha","start":"15:10","end":"16:30","startHours":15.167406230618983,"endHours":16.4988634847849,"quality":"auspicious"},{"name":"Amṛta","start":"16:30","end":"17:50","startHours":16.4988634847849,"endHours":17.83032073895081,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:50","end":"19:30","startHours":17.83032073895081,"endHours":19.4988634847849,"quality":"neutral"},{"name":"Labha","start":"19:30","end":"21:10","startHours":19.4988634847849,"endHours":21.167406230618983,"quality":"auspicious"},{"name":"Amṛta","start":"21:10","end":"22:50","startHours":21.167406230618983,"endHours":22.835948976453068,"quality":"auspicious"},{"name":"Kāla","start":"22:50","end":"00:30","startHours":22.835948976453068,"endHours":24.504491722287156,"quality":"inauspicious"},{"name":"Śubha","start":"00:30","end":"02:10","startHours":24.504491722287156,"endHours":26.173034468121244,"quality":"auspicious"},{"name":"Roga","start":"02:10","end":"03:50","startHours":26.173034468121244,"endHours":27.84157721395533,"quality":"inauspicious"},{"name":"Udveg","start":"03:50","end":"05:31","startHours":27.84157721395533,"endHours":29.510119959789414,"quality":"inauspicious"},{"name":"Chala","start":"05:31","end":"07:11","startHours":29.510119959789414,"endHours":31.178662705623502,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.178662705623503,"endHours":8.178662705623502,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.178662705623502,"endHours":9.178662705623502,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.178662705623502,"endHours":10.178662705623502,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.178662705623502,"endHours":11.178662705623502,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.178662705623502,"endHours":12.178662705623502,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.178662705623502,"endHours":13.178662705623502,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.178662705623502,"endHours":14.178662705623502,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.178662705623502,"endHours":15.178662705623502,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.178662705623502,"endHours":16.178662705623502,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.178662705623502,"endHours":17.178662705623502,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.178662705623502,"endHours":18.178662705623502,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.178662705623502,"endHours":19.178662705623502,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.178662705623502,"endHours":20.178662705623502,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.178662705623502,"endHours":21.178662705623502,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.178662705623502,"endHours":22.178662705623502,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.178662705623502,"endHours":23.178662705623502,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.178662705623502,"endHours":24.178662705623502,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.178662705623502,"endHours":25.178662705623502,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.178662705623502,"endHours":26.178662705623502,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.178662705623502,"endHours":27.178662705623502,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.178662705623502,"endHours":28.178662705623502,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.178662705623502,"endHours":29.178662705623502,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.178662705623502,"endHours":30.178662705623502,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.178662705623502,"endHours":31.178662705623502,"planetary_lord":"Venus"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-20.354380506140476,"eotMinutes":-10.9643033372293,"ayanamsa":23.3508}},"calendars":{"vikram_samvat":2021,"vikram_samvatsara":"Piṅgala","saka_samvat":1886,"saka_samvatsara":"Krodhi","bengali_samvat":1371,"malayalam_era":1140,"nanakshahi_year":495,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Ṣaṣṭhī · Vikram 2021 Piṅgala · Śaka 1886 Krodhi"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 January 20, 1964 CE · Mathurā · Vidhyamitra","description":"January 20, 1964 CE for Mathurā: Śukla Ṣaṣṭhī, sūryodaya 07:11, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1964-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1964-01-20","sa":"https://sa.vidhyamitra.com/city/mathura/1964-01-20","hi":"https://hi.vidhyamitra.com/city/mathura/1964-01-20","x-default":"https://vidhyamitra.com/city/mathura/1964-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T13:43:59.158Z","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":"2026-05-14T13:43:59.158Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T13:43:59.158Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}