{"id":"vidhyamitra:city-day:rishikesh:1951-11-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1951-11-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1951-11-20","date_display":"November 20, 1951 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":1951,"month":11,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433970.770833,"kali_year":5053,"ahargana":1845505.2708,"sun":{"sidereal_longitude":213.2553,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":107.0107,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":253.7554,"elapsed_within_tithi_degrees":1.7554},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":107.0107,"elapsed_within_degrees":0.344},"yoga":{"number":25,"name":"Brahma","sum_longitude":320.266},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1951,"month":11,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2433970.770833,"ahargana":1845505.2708,"kali_year":5053,"ayanamsa_lahiri":23.1809,"grahas":{"sun":{"sidereal_longitude":213.720775,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":104.16967499999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false,"latitude":2.1963},"mars":{"sidereal_longitude":155.06757500000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":234.40007500000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":341.871875,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":167.862575,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":168.49997499999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":316.2496,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":136.2496,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":1951,"month":11,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433970.770833,"kali_year":5053,"ahargana":1845505.2708,"sun":{"sidereal_longitude":213.2553,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":107.0107,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":253.7554,"elapsed_within_tithi_degrees":1.7554},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":107.0107,"elapsed_within_degrees":0.344},"yoga":{"number":25,"name":"Brahma","sum_longitude":320.266},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.196,"elongation":106.245},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.196,"opposition_distance":73.755}},"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":"06:46","sunsetLocal":"17:20","solarNoonLocal":"12:03","dayLengthHours":10.563560478216974,"dayLengthDisplay":"10 Hours 33 Mins 49 Secs","nightLengthDisplay":"13 Hours 26 Mins 11 Secs","moonriseLocal":"21:58","moonsetLocal":"11:32","rahuKala":{"name":"Rāhu Kāla","start":"14:42","end":"16:01","startHours":14.694703264557761,"endHours":16.015148324334884,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:25","end":"10:44","startHours":9.412923025449274,"endHours":10.733368085226395,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:03","end":"13:22","startHours":12.053813145003517,"endHours":13.374258204780638,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:14","end":"09:35","startHours":9.236863684145657,"endHours":9.58898236675289,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:13","end":"07:30","startHours":7.212181259154071,"endHours":7.493876205239856,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:24","startHours":11.701694462396286,"endHours":12.40593182761075,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:22","end":"06:04","startHours":5.363558175466101,"endHours":6.0677955406805655,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:54","end":"06:46","startHours":5.8917361993769495,"endHours":6.77203290589503,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:49","end":"14:31","startHours":13.81440655803968,"endHours":14.518643923254146,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:08","end":"17:32","startHours":17.135593384112006,"endHours":17.535593384112005,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:20","end":"17:47","startHours":17.335593384112006,"endHours":17.775741737371046,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:05","end":"18:50","startHours":17.085593384112006,"endHours":18.835593384112006,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:24","startHours":23.701694462396283,"endHours":24.40593182761075,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:46","end":"08:06","startHours":6.77203290589503,"endHours":8.092477965672153,"quality":"inauspicious"},{"name":"Udveg","start":"08:06","end":"09:25","startHours":8.092477965672153,"endHours":9.412923025449274,"quality":"inauspicious"},{"name":"Chala","start":"09:25","end":"10:44","startHours":9.412923025449274,"endHours":10.733368085226395,"quality":"neutral"},{"name":"Labha","start":"10:44","end":"12:03","startHours":10.733368085226395,"endHours":12.053813145003517,"quality":"auspicious"},{"name":"Amṛta","start":"12:03","end":"13:22","startHours":12.053813145003517,"endHours":13.374258204780638,"quality":"auspicious"},{"name":"Kāla","start":"13:22","end":"14:42","startHours":13.374258204780638,"endHours":14.694703264557761,"quality":"inauspicious"},{"name":"Śubha","start":"14:42","end":"16:01","startHours":14.694703264557761,"endHours":16.015148324334884,"quality":"auspicious"},{"name":"Roga","start":"16:01","end":"17:20","startHours":16.015148324334884,"endHours":17.335593384112006,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:20","end":"19:01","startHours":17.335593384112006,"endHours":19.015148324334884,"quality":"inauspicious"},{"name":"Śubha","start":"19:01","end":"20:42","startHours":19.015148324334884,"endHours":20.694703264557763,"quality":"auspicious"},{"name":"Roga","start":"20:42","end":"22:22","startHours":20.694703264557763,"endHours":22.374258204780638,"quality":"inauspicious"},{"name":"Udveg","start":"22:22","end":"00:03","startHours":22.374258204780638,"endHours":24.053813145003517,"quality":"inauspicious"},{"name":"Chala","start":"00:03","end":"01:44","startHours":24.053813145003517,"endHours":25.733368085226395,"quality":"neutral"},{"name":"Labha","start":"01:44","end":"03:25","startHours":25.733368085226395,"endHours":27.412923025449274,"quality":"auspicious"},{"name":"Amṛta","start":"03:25","end":"05:06","startHours":27.412923025449274,"endHours":29.092477965672153,"quality":"auspicious"},{"name":"Kāla","start":"05:06","end":"06:46","startHours":29.092477965672153,"endHours":30.77203290589503,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:46","end":"07:46","startHours":6.77203290589503,"endHours":7.77203290589503,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:46","end":"08:46","startHours":7.77203290589503,"endHours":8.772032905895031,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:46","end":"09:46","startHours":8.772032905895031,"endHours":9.772032905895031,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:46","end":"10:46","startHours":9.772032905895031,"endHours":10.772032905895031,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:46","end":"11:46","startHours":10.772032905895031,"endHours":11.772032905895031,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:46","end":"12:46","startHours":11.772032905895031,"endHours":12.772032905895031,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:46","end":"13:46","startHours":12.772032905895031,"endHours":13.772032905895031,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:46","end":"14:46","startHours":13.772032905895031,"endHours":14.772032905895031,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:46","end":"15:46","startHours":14.772032905895031,"endHours":15.772032905895031,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:46","end":"16:46","startHours":15.772032905895031,"endHours":16.77203290589503,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:46","end":"17:46","startHours":16.77203290589503,"endHours":17.77203290589503,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:46","end":"18:46","startHours":17.77203290589503,"endHours":18.77203290589503,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:46","end":"19:46","startHours":18.77203290589503,"endHours":19.77203290589503,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:46","end":"20:46","startHours":19.77203290589503,"endHours":20.77203290589503,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:46","end":"21:46","startHours":20.77203290589503,"endHours":21.77203290589503,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:46","end":"22:46","startHours":21.77203290589503,"endHours":22.77203290589503,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:46","end":"23:46","startHours":22.77203290589503,"endHours":23.77203290589503,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:46","end":"00:46","startHours":23.77203290589503,"endHours":24.77203290589503,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:46","end":"01:46","startHours":24.77203290589503,"endHours":25.77203290589503,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:46","end":"02:46","startHours":25.77203290589503,"endHours":26.77203290589503,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:46","end":"03:46","startHours":26.77203290589503,"endHours":27.77203290589503,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:46","end":"04:46","startHours":27.77203290589503,"endHours":28.77203290589503,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:46","end":"05:46","startHours":28.77203290589503,"endHours":29.77203290589503,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:46","end":"06:46","startHours":29.77203290589503,"endHours":30.77203290589503,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-19.462770185488996,"eotMinutes":13.700811299788931,"ayanamsa":23.1809}},"calendars":{"vikram_samvat":2008,"vikram_samvatsara":"Krodhi","saka_samvat":1873,"saka_samvatsara":"Khara","bengali_samvat":1358,"malayalam_era":1127,"nanakshahi_year":482,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Saptamī · Vikram 2008 Krodhi · Śaka 1873 Khara"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"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 November 20, 1951 CE · Ṛṣikeśa · Vidhyamitra","description":"November 20, 1951 CE for Ṛṣikeśa: Kṛṣṇa Saptamī, sūryodaya 06:46, sūryāsta 17:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1951-11-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1951-11-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/1951-11-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/1951-11-20","x-default":"https://vidhyamitra.com/city/rishikesh/1951-11-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T11:41:06.209Z","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":"2026-06-02T11:41:06.209Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T11:41:06.209Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}