{"id":"vidhyamitra:city-day:rishikesh:1914-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1914-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1914-12-20","date_display":"December 20, 1914 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":1914,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2420486.770833,"kali_year":5016,"ahargana":1832021.2708,"sun":{"sidereal_longitude":244.5155,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":283.2198,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.7043,"elapsed_within_tithi_degrees":2.7043},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":283.2198,"elapsed_within_degrees":3.2198},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":167.7352},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1914,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2420486.770833,"ahargana":1832021.2708,"kali_year":5016,"ayanamsa_lahiri":22.6651,"grahas":{"sun":{"sidereal_longitude":244.65216299999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":283.74976300000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false,"latitude":-2.0746},"mars":{"sidereal_longitude":246.92796299999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":236.49736299999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":298.25696300000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":215.488963,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":67.102663,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":310.6968,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":130.6968,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"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":1914,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2420486.770833,"kali_year":5016,"ahargana":1832021.2708,"sun":{"sidereal_longitude":244.5155,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":283.2198,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.7043,"elapsed_within_tithi_degrees":2.7043},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":283.2198,"elapsed_within_degrees":3.2198},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":167.7352},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.075,"elongation":38.704},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.075,"opposition_distance":141.296}},"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":"07:09","sunsetLocal":"17:21","solarNoonLocal":"12:15","dayLengthHours":10.207267525165044,"dayLengthDisplay":"10 Hours 12 Mins 26 Secs","nightLengthDisplay":"13 Hours 47 Mins 34 Secs","moonriseLocal":"09:34","moonsetLocal":"20:09","rahuKala":{"name":"Rāhu Kāla","start":"16:05","end":"17:21","startHours":16.079020029895748,"endHours":17.354928470541378,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:15","end":"13:32","startHours":12.251294707958856,"endHours":13.527203148604485,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:48","end":"16:05","startHours":14.803111589250115,"endHours":16.079020029895748,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:32","end":"09:52","startHours":9.529356701248176,"endHours":9.869598952087012,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:51","startHours":7.572963758924876,"endHours":7.845157559595944,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:35","startHours":11.911052457120022,"endHours":12.59153695879769,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:28","startHours":5.786691942020994,"endHours":6.467176443698663,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:09","startHours":6.297055318279246,"endHours":7.147660945376333,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:38","startHours":13.95250596215303,"endHours":14.6329904638307,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:09","end":"17:33","startHours":17.15492847054138,"endHours":17.554928470541377,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:21","end":"17:47","startHours":17.354928470541378,"endHours":17.780231284089922,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:06","end":"18:51","startHours":17.104928470541378,"endHours":18.854928470541378,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:35","startHours":23.91105245712002,"endHours":24.59153695879769,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:09","end":"08:25","startHours":7.147660945376333,"endHours":8.423569386021963,"quality":"inauspicious"},{"name":"Chala","start":"08:25","end":"09:42","startHours":8.423569386021963,"endHours":9.699477826667593,"quality":"neutral"},{"name":"Labha","start":"09:42","end":"10:59","startHours":9.699477826667593,"endHours":10.975386267313224,"quality":"auspicious"},{"name":"Amṛta","start":"10:59","end":"12:15","startHours":10.975386267313224,"endHours":12.251294707958856,"quality":"auspicious"},{"name":"Kāla","start":"12:15","end":"13:32","startHours":12.251294707958856,"endHours":13.527203148604485,"quality":"inauspicious"},{"name":"Śubha","start":"13:32","end":"14:48","startHours":13.527203148604485,"endHours":14.803111589250115,"quality":"auspicious"},{"name":"Roga","start":"14:48","end":"16:05","startHours":14.803111589250115,"endHours":16.079020029895748,"quality":"inauspicious"},{"name":"Udveg","start":"16:05","end":"17:21","startHours":16.079020029895748,"endHours":17.354928470541378,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:21","end":"19:05","startHours":17.354928470541378,"endHours":19.079020029895748,"quality":"auspicious"},{"name":"Roga","start":"19:05","end":"20:48","startHours":19.079020029895748,"endHours":20.803111589250115,"quality":"inauspicious"},{"name":"Udveg","start":"20:48","end":"22:32","startHours":20.803111589250115,"endHours":22.527203148604485,"quality":"inauspicious"},{"name":"Chala","start":"22:32","end":"00:15","startHours":22.527203148604485,"endHours":24.251294707958856,"quality":"neutral"},{"name":"Labha","start":"00:15","end":"01:59","startHours":24.251294707958856,"endHours":25.975386267313226,"quality":"auspicious"},{"name":"Amṛta","start":"01:59","end":"03:42","startHours":25.975386267313226,"endHours":27.699477826667597,"quality":"auspicious"},{"name":"Kāla","start":"03:42","end":"05:25","startHours":27.699477826667597,"endHours":29.423569386021963,"quality":"inauspicious"},{"name":"Śubha","start":"05:25","end":"07:09","startHours":29.423569386021963,"endHours":31.147660945376334,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.147660945376333,"endHours":8.147660945376334,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.147660945376334,"endHours":9.147660945376334,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.147660945376334,"endHours":10.147660945376334,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.147660945376334,"endHours":11.147660945376334,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.147660945376334,"endHours":12.147660945376334,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.147660945376334,"endHours":13.147660945376334,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.147660945376334,"endHours":14.147660945376334,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.147660945376334,"endHours":15.147660945376334,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.147660945376334,"endHours":16.147660945376334,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.147660945376334,"endHours":17.147660945376334,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.147660945376334,"endHours":18.147660945376334,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.147660945376334,"endHours":19.147660945376334,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.147660945376334,"endHours":20.147660945376334,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.147660945376334,"endHours":21.147660945376334,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.147660945376334,"endHours":22.147660945376334,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.147660945376334,"endHours":23.147660945376334,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.147660945376334,"endHours":24.147660945376334,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.147660945376334,"endHours":25.147660945376334,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.147660945376334,"endHours":26.147660945376334,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.147660945376334,"endHours":27.147660945376334,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.147660945376334,"endHours":28.147660945376334,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.147660945376334,"endHours":29.147660945376334,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.147660945376334,"endHours":30.147660945376334,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.147660945376334,"endHours":31.147660945376334,"planetary_lord":"Jupiter"}],"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":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.40928152371411,"eotMinutes":1.851917522468745,"ayanamsa":22.6651}},"calendars":{"vikram_samvat":1971,"vikram_samvatsara":"Prabhava","saka_samvat":1836,"saka_samvatsara":"Ānanda","bengali_samvat":1321,"malayalam_era":1090,"nanakshahi_year":445,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","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 Śukla Caturthī · Vikram 1971 Prabhava · Śaka 1836 Ānanda"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 December 20, 1914 CE · Ṛṣikeśa · Vidhyamitra","description":"December 20, 1914 CE for Ṛṣikeśa: Śukla Caturthī, sūryodaya 07:09, sūryāsta 17:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1914-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1914-12-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/1914-12-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/1914-12-20","x-default":"https://vidhyamitra.com/city/rishikesh/1914-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T06:43:31.337Z","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":"2026-06-01T06:43:31.337Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T06:43:31.337Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}