{"id":"vidhyamitra:city-day:vrindavan:1964-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1964-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1964-01-03","date_display":"January 3, 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":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438397.770833,"kali_year":5065,"ahargana":1849932.2708,"sun":{"sidereal_longitude":258.2069,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":124.8387,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":226.6319,"elapsed_within_tithi_degrees":10.6319},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":124.8387,"elapsed_within_degrees":4.8387},"yoga":{"number":2,"name":"Prīti","sum_longitude":23.0456},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438397.770833,"ahargana":1849932.2708,"kali_year":5065,"ayanamsa_lahiri":23.3502,"grahas":{"sun":{"sidereal_longitude":258.340331,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":125.72083099999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false,"latitude":3.0761},"mars":{"sidereal_longitude":269.165831,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":262.48633100000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":348.292931,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":289.85783100000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":297.9527310000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":81.6858,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":261.6858,"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":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438397.770833,"kali_year":5065,"ahargana":1849932.2708,"sun":{"sidereal_longitude":258.2069,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":124.8387,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":226.6319,"elapsed_within_tithi_degrees":10.6319},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":124.8387,"elapsed_within_degrees":4.8387},"yoga":{"number":2,"name":"Prīti","sum_longitude":23.0456},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.076,"elongation":133.368},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.076,"opposition_distance":46.632}},"eclipse_window_40days":[{"offset_days":12,"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":"07:11","sunsetLocal":"17:37","solarNoonLocal":"12:24","dayLengthHours":10.438816170632435,"dayLengthDisplay":"10 Hours 26 Mins 20 Secs","nightLengthDisplay":"13 Hours 33 Mins 40 Secs","moonriseLocal":"21:06","moonsetLocal":"10:01","rahuKala":{"name":"Rāhu Kāla","start":"11:06","end":"12:24","startHours":11.094351659181914,"endHours":12.399203680510968,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:01","end":"16:19","startHours":15.008907723169077,"endHours":16.31375974449813,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:29","end":"09:47","startHours":8.484647616523805,"endHours":9.78949963785286,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.61551936834232,"endHours":9.9634799073634,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.6147462689711025,"endHours":7.893114700187968,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.051243141489888,"endHours":12.74716421953205,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.787953439110426,"endHours":6.4838745171525884,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:11","startHours":6.309894247642048,"endHours":7.179795595194751,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:50","startHours":14.139006375616376,"endHours":14.834927453658539,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.418611765827187,"endHours":17.818611765827185,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.618611765827186,"endHours":18.05356243960354,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.368611765827186,"endHours":19.118611765827186,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.051243141489888,"endHours":24.74716421953205,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:11","end":"08:29","startHours":7.179795595194751,"endHours":8.484647616523805,"quality":"neutral"},{"name":"Labha","start":"08:29","end":"09:47","startHours":8.484647616523805,"endHours":9.78949963785286,"quality":"auspicious"},{"name":"Amṛta","start":"09:47","end":"11:06","startHours":9.78949963785286,"endHours":11.094351659181914,"quality":"auspicious"},{"name":"Kāla","start":"11:06","end":"12:24","startHours":11.094351659181914,"endHours":12.399203680510968,"quality":"inauspicious"},{"name":"Śubha","start":"12:24","end":"13:42","startHours":12.399203680510968,"endHours":13.704055701840023,"quality":"auspicious"},{"name":"Roga","start":"13:42","end":"15:01","startHours":13.704055701840023,"endHours":15.008907723169077,"quality":"inauspicious"},{"name":"Udveg","start":"15:01","end":"16:19","startHours":15.008907723169077,"endHours":16.31375974449813,"quality":"inauspicious"},{"name":"Chala","start":"16:19","end":"17:37","startHours":16.31375974449813,"endHours":17.618611765827186,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:37","end":"19:19","startHours":17.618611765827186,"endHours":19.31375974449813,"quality":"inauspicious"},{"name":"Udveg","start":"19:19","end":"21:01","startHours":19.31375974449813,"endHours":21.008907723169077,"quality":"inauspicious"},{"name":"Chala","start":"21:01","end":"22:42","startHours":21.008907723169077,"endHours":22.704055701840023,"quality":"neutral"},{"name":"Labha","start":"22:42","end":"00:24","startHours":22.704055701840023,"endHours":24.39920368051097,"quality":"auspicious"},{"name":"Amṛta","start":"00:24","end":"02:06","startHours":24.39920368051097,"endHours":26.094351659181914,"quality":"auspicious"},{"name":"Kāla","start":"02:06","end":"03:47","startHours":26.094351659181914,"endHours":27.78949963785286,"quality":"inauspicious"},{"name":"Śubha","start":"03:47","end":"05:29","startHours":27.78949963785286,"endHours":29.484647616523805,"quality":"auspicious"},{"name":"Roga","start":"05:29","end":"07:11","startHours":29.484647616523805,"endHours":31.17979559519475,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.179795595194751,"endHours":8.17979559519475,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.17979559519475,"endHours":9.17979559519475,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.17979559519475,"endHours":10.17979559519475,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.17979559519475,"endHours":11.17979559519475,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.17979559519475,"endHours":12.17979559519475,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.17979559519475,"endHours":13.17979559519475,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.17979559519475,"endHours":14.17979559519475,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.17979559519475,"endHours":15.17979559519475,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.17979559519475,"endHours":16.17979559519475,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.17979559519475,"endHours":17.17979559519475,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.17979559519475,"endHours":18.17979559519475,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.17979559519475,"endHours":19.17979559519475,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.17979559519475,"endHours":20.17979559519475,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.17979559519475,"endHours":21.17979559519475,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.17979559519475,"endHours":22.17979559519475,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.17979559519475,"endHours":23.17979559519475,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.17979559519475,"endHours":24.17979559519475,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.17979559519475,"endHours":25.17979559519475,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.17979559519475,"endHours":26.17979559519475,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.17979559519475,"endHours":27.17979559519475,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.17979559519475,"endHours":28.17979559519475,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.17979559519475,"endHours":29.17979559519475,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.17979559519475,"endHours":30.17979559519475,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.17979559519475,"endHours":31.17979559519475,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"South-East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.9222731811282,"eotMinutes":-4.589420830658165,"ayanamsa":23.3502}},"calendars":{"vikram_samvat":2021,"vikram_samvatsara":"Piṅgala","saka_samvat":1886,"saka_samvatsara":"Krodhi","bengali_samvat":1371,"malayalam_era":1140,"nanakshahi_year":495,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Caturthī · Vikram 2021 Piṅgala · Śaka 1886 Krodhi"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 3, 1964 CE · Vṛndāvana · Vidhyamitra","description":"January 3, 1964 CE for Vṛndāvana: Kṛṣṇa Caturthī, sūryodaya 07:11, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1964-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1964-01-03","sa":"https://sa.vidhyamitra.com/city/vrindavan/1964-01-03","hi":"https://hi.vidhyamitra.com/city/vrindavan/1964-01-03","x-default":"https://vidhyamitra.com/city/vrindavan/1964-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T18:20:24.696Z","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":"2026-05-31T18:20:24.696Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T18:20:24.696Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}