{"id":"vidhyamitra:city-day:rishikesh:1964-04-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1964-04-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1964-04-20","date_display":"April 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":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438505.770833,"kali_year":5066,"ahargana":1850040.2708,"sun":{"sidereal_longitude":6.8315,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":105.6011,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":98.7696,"elapsed_within_tithi_degrees":2.7696},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":105.6011,"elapsed_within_degrees":12.2678},"yoga":{"number":9,"name":"Śūla","sum_longitude":112.4326},"karana":{"half_tithi_index":16,"name":"Bālava"},"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":4,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438505.770833,"ahargana":1850040.2708,"kali_year":5066,"ayanamsa_lahiri":23.3543,"grahas":{"sun":{"sidereal_longitude":6.640305000000012,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":107.57510500000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false,"latitude":2.2236},"mars":{"sidereal_longitude":353.801305,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":18.421505000000025,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":9.263205000000028,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":52.55200500000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":309.907905,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":75.9634,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":255.9634,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438505.770833,"kali_year":5066,"ahargana":1850040.2708,"sun":{"sidereal_longitude":6.8315,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":105.6011,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":98.7696,"elapsed_within_tithi_degrees":2.7696},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":105.6011,"elapsed_within_degrees":12.2678},"yoga":{"number":9,"name":"Śūla","sum_longitude":112.4326},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.224,"elongation":98.77},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.224,"opposition_distance":81.23}},"eclipse_window_40days":[]},"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":"05:45","sunsetLocal":"18:47","solarNoonLocal":"12:16","dayLengthHours":13.032095568076265,"dayLengthDisplay":"13 Hours 01 Mins 56 Secs","nightLengthDisplay":"10 Hours 58 Mins 04 Secs","moonriseLocal":"12:15","moonsetLocal":"01:45","rahuKala":{"name":"Rāhu Kāla","start":"07:23","end":"09:00","startHours":7.3789947708773855,"endHours":9.008006716886918,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:38","end":"12:16","startHours":10.637018662896452,"endHours":12.266030608905986,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:54","end":"15:31","startHours":13.89504255491552,"endHours":15.52405450092505,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:14","startHours":8.790805124085647,"endHours":9.22520830968819,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:18","end":"06:38","startHours":6.29298680687103,"endHours":6.640509355353064,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:42","startHours":11.831627423303443,"endHours":12.700433794508529,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:01","end":"04:53","startHours":4.012370082457684,"endHours":4.881176453662768,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:40","end":"05:45","startHours":4.663974860861497,"endHours":5.749982824867852,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:18","startHours":14.438046536918694,"endHours":15.306852908123778,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:35","end":"18:59","startHours":18.58207839294412,"endHours":18.982078392944118,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:47","end":"19:20","startHours":18.78207839294412,"endHours":19.325082374947296,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:32","end":"20:17","startHours":18.53207839294412,"endHours":20.28207839294412,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:42","startHours":23.831627423303445,"endHours":24.700433794508527,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:45","end":"07:23","startHours":5.749982824867852,"endHours":7.3789947708773855,"quality":"auspicious"},{"name":"Kāla","start":"07:23","end":"09:00","startHours":7.3789947708773855,"endHours":9.008006716886918,"quality":"inauspicious"},{"name":"Śubha","start":"09:00","end":"10:38","startHours":9.008006716886918,"endHours":10.637018662896452,"quality":"auspicious"},{"name":"Roga","start":"10:38","end":"12:16","startHours":10.637018662896452,"endHours":12.266030608905986,"quality":"inauspicious"},{"name":"Udveg","start":"12:16","end":"13:54","startHours":12.266030608905986,"endHours":13.89504255491552,"quality":"inauspicious"},{"name":"Chala","start":"13:54","end":"15:31","startHours":13.89504255491552,"endHours":15.52405450092505,"quality":"neutral"},{"name":"Labha","start":"15:31","end":"17:09","startHours":15.52405450092505,"endHours":17.153066446934584,"quality":"auspicious"},{"name":"Amṛta","start":"17:09","end":"18:47","startHours":17.153066446934584,"endHours":18.78207839294412,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:47","end":"20:09","startHours":18.78207839294412,"endHours":20.153066446934584,"quality":"neutral"},{"name":"Labha","start":"20:09","end":"21:31","startHours":20.153066446934584,"endHours":21.524054500925054,"quality":"auspicious"},{"name":"Amṛta","start":"21:31","end":"22:54","startHours":21.524054500925054,"endHours":22.89504255491552,"quality":"auspicious"},{"name":"Kāla","start":"22:54","end":"00:16","startHours":22.89504255491552,"endHours":24.266030608905986,"quality":"inauspicious"},{"name":"Śubha","start":"00:16","end":"01:38","startHours":24.266030608905986,"endHours":25.637018662896452,"quality":"auspicious"},{"name":"Roga","start":"01:38","end":"03:00","startHours":25.637018662896452,"endHours":27.008006716886918,"quality":"inauspicious"},{"name":"Udveg","start":"03:00","end":"04:23","startHours":27.008006716886918,"endHours":28.378994770877387,"quality":"inauspicious"},{"name":"Chala","start":"04:23","end":"05:45","startHours":28.378994770877387,"endHours":29.749982824867853,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:45","end":"06:45","startHours":5.749982824867852,"endHours":6.749982824867852,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:45","end":"07:45","startHours":6.749982824867852,"endHours":7.749982824867852,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:45","end":"08:45","startHours":7.749982824867852,"endHours":8.749982824867853,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:45","end":"09:45","startHours":8.749982824867853,"endHours":9.749982824867853,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:45","end":"10:45","startHours":9.749982824867853,"endHours":10.749982824867853,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:45","end":"11:45","startHours":10.749982824867853,"endHours":11.749982824867853,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:45","end":"12:45","startHours":11.749982824867853,"endHours":12.749982824867853,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:45","end":"13:45","startHours":12.749982824867853,"endHours":13.749982824867853,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:45","end":"14:45","startHours":13.749982824867853,"endHours":14.749982824867853,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:45","end":"15:45","startHours":14.749982824867853,"endHours":15.749982824867853,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:45","end":"16:45","startHours":15.749982824867853,"endHours":16.749982824867853,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:45","end":"17:45","startHours":16.749982824867853,"endHours":17.749982824867853,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:45","end":"18:45","startHours":17.749982824867853,"endHours":18.749982824867853,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:45","end":"19:45","startHours":18.749982824867853,"endHours":19.749982824867853,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:45","end":"20:45","startHours":19.749982824867853,"endHours":20.749982824867853,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:45","end":"21:45","startHours":20.749982824867853,"endHours":21.749982824867853,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:45","end":"22:45","startHours":21.749982824867853,"endHours":22.749982824867853,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:45","end":"23:45","startHours":22.749982824867853,"endHours":23.749982824867853,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:45","end":"00:45","startHours":23.749982824867853,"endHours":24.749982824867853,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:45","end":"01:45","startHours":24.749982824867853,"endHours":25.749982824867853,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:45","end":"02:45","startHours":25.749982824867853,"endHours":26.749982824867853,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:45","end":"03:45","startHours":26.749982824867853,"endHours":27.749982824867853,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:45","end":"04:45","startHours":27.749982824867853,"endHours":28.749982824867853,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:45","end":"05:45","startHours":28.749982824867853,"endHours":29.749982824867853,"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":11.468770910892836,"eotMinutes":0.9677634656409275,"ayanamsa":23.3543}},"calendars":{"vikram_samvat":2021,"vikram_samvatsara":"Piṅgala","saka_samvat":1886,"saka_samvatsara":"Krodhi","bengali_samvat":1371,"malayalam_era":1140,"nanakshahi_year":495,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Navamī · Vikram 2021 Piṅgala · Śaka 1886 Krodhi"},"festivals":[{"id":"rama-navami","name":"Rāma Navamī","name_sanskrit":"राम नवमी","tradition":"Vaishnava","associated_deity":"Rāma (18th avatāra of Krishna)","deity_avatara_index":18,"significance":"Bhagavān Rāma's birth at Ayodhyā. Sūryavaṃśa's most exalted moment.","vrata":true,"primary_observance":"Madhyāhna (noon) abhiṣekam in Ayodhyā tradition","detection":{"tithi_number":9,"tithi_paksha":"Śukla","lunar_month":"Caitra"},"precedence":1,"related_chart":"rama","historical_anchor":{"event":"Bhagavān Rāma's birth at Ayodhyā","date_julian":"-1626101-04-03","location":"Ayodhyā"},"sources":["Vālmīki Rāmāyaṇa, Bāla-Kāṇḍa 1.18"]}],"todays_walk":{"walk":{"id":"rama-navami-walk","name":"Rāma Navamī Walk","name_sanskrit":"राम नवमी यात्रा","type":"festival","description":"Vālmīki Bāla-Kāṇḍa selections + BG 4.7-8 (avatāra principle).","step_count":9,"url":"/walk/rama-navami-walk"},"reason":"Today is Rāma Navamī — its dedicated 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":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga April 20, 1964 CE · Ṛṣikeśa · Vidhyamitra","description":"April 20, 1964 CE for Ṛṣikeśa: Śukla Navamī, sūryodaya 05:45, sūryāsta 18:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1964-04-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1964-04-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/1964-04-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/1964-04-20","x-default":"https://vidhyamitra.com/city/rishikesh/1964-04-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T19:32:26.276Z","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":"2026-05-31T19:32:26.276Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T19:32:26.276Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}