{"id":"vidhyamitra:city-day:vrindavan:1964-01-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1964-01-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1964-01-16","date_display":"January 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":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438410.770833,"kali_year":5065,"ahargana":1849945.2708,"sun":{"sidereal_longitude":271.5658,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":285.4806,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":13.9148,"elapsed_within_tithi_degrees":1.9148},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":285.4806,"elapsed_within_degrees":5.4806},"yoga":{"number":15,"name":"Vajra","sum_longitude":197.0465},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438410.770833,"ahargana":1849945.2708,"kali_year":5065,"ayanamsa_lahiri":23.3507,"grahas":{"sun":{"sidereal_longitude":271.587934,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":285.165534,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false,"latitude":-1.8634},"mars":{"sidereal_longitude":279.317534,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":251.55323399999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":349.763534,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":305.84493399999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":299.348934,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":80.997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":260.997,"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":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438410.770833,"kali_year":5065,"ahargana":1849945.2708,"sun":{"sidereal_longitude":271.5658,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":285.4806,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":13.9148,"elapsed_within_tithi_degrees":1.9148},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2,"moon_longitude":285.4806,"elapsed_within_degrees":5.4806},"yoga":{"number":15,"name":"Vajra","sum_longitude":197.0465},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.863,"elongation":13.915},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.863,"opposition_distance":166.085}},"eclipse_window_40days":[{"offset_days":-1,"type":"solar","occurs":true,"moon_latitude":-0.89,"elongation":1.925}]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:12","sunsetLocal":"17:47","solarNoonLocal":"12:29","dayLengthHours":10.584248052238525,"dayLengthDisplay":"10 Hours 35 Mins 03 Secs","nightLengthDisplay":"13 Hours 24 Mins 57 Secs","moonriseLocal":"08:00","moonsetLocal":"18:47","rahuKala":{"name":"Rāhu Kāla","start":"13:48","end":"15:08","startHours":13.807292698892777,"endHours":15.130323705422594,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:12","end":"08:31","startHours":7.1921376662437,"endHours":8.515168672773516,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:50","end":"11:10","startHours":9.838199679303331,"endHours":11.161230685833146,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.661795545099356,"endHours":10.014603813507307,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.633148001753638,"endHours":7.915394616479999,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:50","startHours":12.13145342395501,"endHours":12.837069960770913,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.780904592611897,"endHours":6.486521129427798,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:12","startHours":6.310116995223823,"endHours":7.1921376662437,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:15","end":"14:57","startHours":14.248303034402717,"endHours":14.953919571218618,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:35","end":"17:59","startHours":17.576385718482225,"endHours":17.976385718482224,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:47","end":"18:13","startHours":17.776385718482224,"endHours":18.217396053992164,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:32","end":"19:17","startHours":17.526385718482224,"endHours":19.276385718482224,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:50","startHours":24.131453423955012,"endHours":24.837069960770915,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:12","end":"08:31","startHours":7.1921376662437,"endHours":8.515168672773516,"quality":"auspicious"},{"name":"Roga","start":"08:31","end":"09:50","startHours":8.515168672773516,"endHours":9.838199679303331,"quality":"inauspicious"},{"name":"Udveg","start":"09:50","end":"11:10","startHours":9.838199679303331,"endHours":11.161230685833146,"quality":"inauspicious"},{"name":"Chala","start":"11:10","end":"12:29","startHours":11.161230685833146,"endHours":12.484261692362963,"quality":"neutral"},{"name":"Labha","start":"12:29","end":"13:48","startHours":12.484261692362963,"endHours":13.807292698892777,"quality":"auspicious"},{"name":"Amṛta","start":"13:48","end":"15:08","startHours":13.807292698892777,"endHours":15.130323705422594,"quality":"auspicious"},{"name":"Kāla","start":"15:08","end":"16:27","startHours":15.130323705422594,"endHours":16.45335471195241,"quality":"inauspicious"},{"name":"Śubha","start":"16:27","end":"17:47","startHours":16.45335471195241,"endHours":17.776385718482224,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:47","end":"19:27","startHours":17.776385718482224,"endHours":19.453354711952407,"quality":"auspicious"},{"name":"Kāla","start":"19:27","end":"21:08","startHours":19.453354711952407,"endHours":21.130323705422594,"quality":"inauspicious"},{"name":"Śubha","start":"21:08","end":"22:48","startHours":21.130323705422594,"endHours":22.807292698892777,"quality":"auspicious"},{"name":"Roga","start":"22:48","end":"00:29","startHours":22.807292698892777,"endHours":24.484261692362963,"quality":"inauspicious"},{"name":"Udveg","start":"00:29","end":"02:10","startHours":24.484261692362963,"endHours":26.161230685833146,"quality":"inauspicious"},{"name":"Chala","start":"02:10","end":"03:50","startHours":26.161230685833146,"endHours":27.83819967930333,"quality":"neutral"},{"name":"Labha","start":"03:50","end":"05:31","startHours":27.83819967930333,"endHours":29.515168672773513,"quality":"auspicious"},{"name":"Amṛta","start":"05:31","end":"07:12","startHours":29.515168672773513,"endHours":31.1921376662437,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:12","end":"08:12","startHours":7.1921376662437,"endHours":8.192137666243699,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:12","end":"09:12","startHours":8.192137666243699,"endHours":9.192137666243699,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:12","end":"10:12","startHours":9.192137666243699,"endHours":10.192137666243699,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:12","end":"11:12","startHours":10.192137666243699,"endHours":11.192137666243699,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:12","end":"12:12","startHours":11.192137666243699,"endHours":12.192137666243699,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:12","end":"13:12","startHours":12.192137666243699,"endHours":13.192137666243699,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:12","end":"14:12","startHours":13.192137666243699,"endHours":14.192137666243699,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:12","end":"15:12","startHours":14.192137666243699,"endHours":15.192137666243699,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:12","end":"16:12","startHours":15.192137666243699,"endHours":16.1921376662437,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:12","end":"17:12","startHours":16.1921376662437,"endHours":17.1921376662437,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:12","end":"18:12","startHours":17.1921376662437,"endHours":18.1921376662437,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:12","end":"19:12","startHours":18.1921376662437,"endHours":19.1921376662437,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:12","end":"20:12","startHours":19.1921376662437,"endHours":20.1921376662437,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:12","end":"21:12","startHours":20.1921376662437,"endHours":21.1921376662437,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:12","end":"22:12","startHours":21.1921376662437,"endHours":22.1921376662437,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:12","end":"23:12","startHours":22.1921376662437,"endHours":23.1921376662437,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:12","end":"00:12","startHours":23.1921376662437,"endHours":24.1921376662437,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:12","end":"01:12","startHours":24.1921376662437,"endHours":25.1921376662437,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:12","end":"02:12","startHours":25.1921376662437,"endHours":26.1921376662437,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:12","end":"03:12","startHours":26.1921376662437,"endHours":27.1921376662437,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:12","end":"04:12","startHours":27.1921376662437,"endHours":28.1921376662437,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:12","end":"05:12","startHours":28.1921376662437,"endHours":29.1921376662437,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:12","end":"06:12","startHours":29.1921376662437,"endHours":30.1921376662437,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:12","end":"07:12","startHours":30.1921376662437,"endHours":31.1921376662437,"planetary_lord":"Moon"}],"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","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.139988020247877,"eotMinutes":-9.692901541777706,"ayanamsa":23.3507}},"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","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Dvitīyā · Vikram 2021 Piṅgala · Śaka 1886 Krodhi"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 16, 1964 CE · Vṛndāvana · Vidhyamitra","description":"January 16, 1964 CE for Vṛndāvana: Śukla Dvitīyā, sūryodaya 07:12, sūryāsta 17:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1964-01-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1964-01-16","sa":"https://sa.vidhyamitra.com/city/vrindavan/1964-01-16","hi":"https://hi.vidhyamitra.com/city/vrindavan/1964-01-16","x-default":"https://vidhyamitra.com/city/vrindavan/1964-01-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:16:28.919Z","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":"2026-05-31T16:16:28.919Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:16:28.919Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}