{"id":"vidhyamitra:city-day:rishikesh:1964-12-19:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1964-12-19","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1964-12-19","date_display":"December 19, 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":12,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438748.770833,"kali_year":5066,"ahargana":1850283.2708,"sun":{"sidereal_longitude":243.5523,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":61.9729,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":178.4205,"elapsed_within_tithi_degrees":10.4205},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":61.9729,"elapsed_within_degrees":8.6395},"yoga":{"number":23,"name":"Śubha","sum_longitude":305.5252},"karana":{"half_tithi_index":29,"name":"Bava"},"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":1964,"month":12,"day":19,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438748.770833,"ahargana":1850283.2708,"kali_year":5066,"ayanamsa_lahiri":23.3636,"grahas":{"sun":{"sidereal_longitude":243.81521999999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":62.804520000000025,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false,"latitude":-0.0875},"mars":{"sidereal_longitude":146.67252000000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":243.85902,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":24.27042,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":216.83911999999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":307.53031999999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":63.0881,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":243.0881,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"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":12,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438748.770833,"kali_year":5066,"ahargana":1850283.2708,"sun":{"sidereal_longitude":243.5523,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":61.9729,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":178.4205,"elapsed_within_tithi_degrees":10.4205},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":61.9729,"elapsed_within_degrees":8.6395},"yoga":{"number":23,"name":"Śubha","sum_longitude":305.5252},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.087,"elongation":178.421},"lunar":{"type":"lunar","occurs":true,"moon_latitude":-0.087,"opposition_distance":1.579}},"eclipse_window_40days":[{"offset_days":-15,"type":"solar","occurs":true,"moon_latitude":1.133,"elongation":1.103},{"offset_days":0,"type":"lunar","occurs":true,"moon_latitude":-0.087,"opposition_distance":1.579},{"offset_days":15,"type":"solar","occurs":true,"moon_latitude":-1.5,"elongation":2.813}]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"07:08","sunsetLocal":"17:21","solarNoonLocal":"12:15","dayLengthHours":10.20753608726799,"dayLengthDisplay":"10 Hours 12 Mins 27 Secs","nightLengthDisplay":"13 Hours 47 Mins 33 Secs","moonriseLocal":"17:10","moonsetLocal":"07:12","rahuKala":{"name":"Rāhu Kāla","start":"09:41","end":"10:58","startHours":9.691602138780858,"endHours":10.967544149689358,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:31","end":"14:48","startHours":13.519428171506355,"endHours":14.795370182414853,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:08","end":"08:25","startHours":7.139718116963862,"endHours":8.41566012787236,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:52","startHours":9.521476537326393,"endHours":9.861727740235326,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:50","startHours":7.565032120600028,"endHours":7.837233082927175,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:35","startHours":11.903234957688925,"endHours":12.58373736350679,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:28","startHours":5.7787133053281305,"endHours":6.459215711145996,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:08","startHours":6.2890901096915295,"endHours":7.139718116963862,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:38","startHours":13.944742175142522,"endHours":14.625244580960388,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:09","end":"17:33","startHours":17.147254204231853,"endHours":17.54725420423185,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:21","end":"17:46","startHours":17.347254204231852,"endHours":17.77256820786802,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:06","end":"18:51","startHours":17.097254204231852,"endHours":18.847254204231852,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:35","startHours":23.903234957688923,"endHours":24.583737363506792,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:08","end":"08:25","startHours":7.139718116963862,"endHours":8.41566012787236,"quality":"inauspicious"},{"name":"Śubha","start":"08:25","end":"09:41","startHours":8.41566012787236,"endHours":9.691602138780858,"quality":"auspicious"},{"name":"Roga","start":"09:41","end":"10:58","startHours":9.691602138780858,"endHours":10.967544149689358,"quality":"inauspicious"},{"name":"Udveg","start":"10:58","end":"12:15","startHours":10.967544149689358,"endHours":12.243486160597858,"quality":"inauspicious"},{"name":"Chala","start":"12:15","end":"13:31","startHours":12.243486160597858,"endHours":13.519428171506355,"quality":"neutral"},{"name":"Labha","start":"13:31","end":"14:48","startHours":13.519428171506355,"endHours":14.795370182414853,"quality":"auspicious"},{"name":"Amṛta","start":"14:48","end":"16:04","startHours":14.795370182414853,"endHours":16.071312193323354,"quality":"auspicious"},{"name":"Kāla","start":"16:04","end":"17:21","startHours":16.071312193323354,"endHours":17.347254204231852,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:21","end":"19:04","startHours":17.347254204231852,"endHours":19.071312193323354,"quality":"auspicious"},{"name":"Amṛta","start":"19:04","end":"20:48","startHours":19.071312193323354,"endHours":20.795370182414857,"quality":"auspicious"},{"name":"Kāla","start":"20:48","end":"22:31","startHours":20.795370182414857,"endHours":22.519428171506355,"quality":"inauspicious"},{"name":"Śubha","start":"22:31","end":"00:15","startHours":22.519428171506355,"endHours":24.243486160597858,"quality":"auspicious"},{"name":"Roga","start":"00:15","end":"01:58","startHours":24.243486160597858,"endHours":25.96754414968936,"quality":"inauspicious"},{"name":"Udveg","start":"01:58","end":"03:41","startHours":25.96754414968936,"endHours":27.69160213878086,"quality":"inauspicious"},{"name":"Chala","start":"03:41","end":"05:25","startHours":27.69160213878086,"endHours":29.41566012787236,"quality":"neutral"},{"name":"Labha","start":"05:25","end":"07:08","startHours":29.41566012787236,"endHours":31.139718116963863,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:08","end":"08:08","startHours":7.139718116963862,"endHours":8.139718116963863,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:08","end":"09:08","startHours":8.139718116963863,"endHours":9.139718116963863,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:08","end":"10:08","startHours":9.139718116963863,"endHours":10.139718116963863,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:08","end":"11:08","startHours":10.139718116963863,"endHours":11.139718116963863,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:08","end":"12:08","startHours":11.139718116963863,"endHours":12.139718116963863,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:08","end":"13:08","startHours":12.139718116963863,"endHours":13.139718116963863,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:08","end":"14:08","startHours":13.139718116963863,"endHours":14.139718116963863,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:08","end":"15:08","startHours":14.139718116963863,"endHours":15.139718116963863,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:08","end":"16:08","startHours":15.139718116963863,"endHours":16.139718116963863,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:08","end":"17:08","startHours":16.139718116963863,"endHours":17.139718116963863,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:08","end":"18:08","startHours":17.139718116963863,"endHours":18.139718116963863,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:08","end":"19:08","startHours":18.139718116963863,"endHours":19.139718116963863,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:08","end":"20:08","startHours":19.139718116963863,"endHours":20.139718116963863,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:08","end":"21:08","startHours":20.139718116963863,"endHours":21.139718116963863,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:08","end":"22:08","startHours":21.139718116963863,"endHours":22.139718116963863,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:08","end":"23:08","startHours":22.139718116963863,"endHours":23.139718116963863,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:08","end":"00:08","startHours":23.139718116963863,"endHours":24.139718116963863,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:08","end":"01:08","startHours":24.139718116963863,"endHours":25.139718116963863,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:08","end":"02:08","startHours":25.139718116963863,"endHours":26.139718116963863,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:08","end":"03:08","startHours":26.139718116963863,"endHours":27.139718116963863,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:08","end":"04:08","startHours":27.139718116963863,"endHours":28.139718116963863,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:08","end":"05:08","startHours":28.139718116963863,"endHours":29.139718116963863,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:08","end":"06:08","startHours":29.139718116963863,"endHours":30.139718116963863,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:08","end":"07:08","startHours":30.139718116963863,"endHours":31.139718116963863,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.406400722253803,"eotMinutes":2.3204303641286352,"ayanamsa":23.3636}},"calendars":{"vikram_samvat":2021,"vikram_samvatsara":"Piṅgala","saka_samvat":1886,"saka_samvatsara":"Krodhi","bengali_samvat":1371,"malayalam_era":1140,"nanakshahi_year":495,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","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":"Mārgaśīrṣa Śukla Pūrṇimā · Vikram 2021 Piṅgala · Śaka 1886 Krodhi"},"festivals":[{"id":"datta-jayanti","name":"Datta Jayantī","name_sanskrit":"दत्त जयन्ती","tradition":"Pan-Hindu","associated_deity":"Dattātreya (Brahmā + Viṣṇu + Śiva combined)","significance":"Birth of Dattātreya from Atri-Anusūyā; tri-mūrti unified avatāra.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":2,"sources":["Mārkaṇḍeya Purāṇa","Bhāgavata 4.1.15"]},{"id":"annapurna-jayanti","name":"Annapūrṇā Jayantī","name_sanskrit":"अन्नपूर्णा जयन्ती","tradition":"Shakta","associated_deity":"Devī Annapūrṇā (Pārvatī as nourishing mother)","significance":"Devī Annapūrṇā's manifestation; food-grain pūjā; Mārgaśīrṣa Pūrṇimā tradition.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3,"sources":["Annapūrṇā-stotra by Śaṅkarācārya"]}],"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 19, 1964 CE · Ṛṣikeśa · Vidhyamitra","description":"December 19, 1964 CE for Ṛṣikeśa: Śukla Pūrṇimā, sūryodaya 07:08, sūryāsta 17:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1964-12-19","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1964-12-19","sa":"https://sa.vidhyamitra.com/city/rishikesh/1964-12-19","hi":"https://hi.vidhyamitra.com/city/rishikesh/1964-12-19","x-default":"https://vidhyamitra.com/city/rishikesh/1964-12-19"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T23:02:54.135Z","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":"2026-05-30T23:02:54.135Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T23:02:54.135Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}