{"id":"vidhyamitra:city-day:rishikesh:1941-12-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1941-12-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1941-12-16","date_display":"December 16, 1941 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":1941,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2430344.770833,"kali_year":5043,"ahargana":1841879.2708,"sun":{"sidereal_longitude":240.4226,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":208.8103,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.3877,"elapsed_within_tithi_degrees":4.3877},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":208.8103,"elapsed_within_degrees":8.8103},"yoga":{"number":7,"name":"Sukarma","sum_longitude":89.2329},"karana":{"half_tithi_index":54,"name":"Gara"},"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":1941,"month":12,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2430344.770833,"ahargana":1841879.2708,"kali_year":5043,"ayanamsa_lahiri":23.0422,"grahas":{"sun":{"sidereal_longitude":240.65771500000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":206.743515,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false,"latitude":3.9132},"mars":{"sidereal_longitude":356.093915,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":238.103615,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":52.935315,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":286.3303149999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":30.26711499999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":148.3725,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":328.3725,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":1941,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2430344.770833,"kali_year":5043,"ahargana":1841879.2708,"sun":{"sidereal_longitude":240.4226,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":208.8103,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.3877,"elapsed_within_tithi_degrees":4.3877},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":208.8103,"elapsed_within_degrees":8.8103},"yoga":{"number":7,"name":"Sukarma","sum_longitude":89.2329},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.913,"elongation":31.612},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.913,"opposition_distance":148.388}},"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":"07:07","sunsetLocal":"17:20","solarNoonLocal":"12:13","dayLengthHours":10.218693757734805,"dayLengthDisplay":"10 Hours 13 Mins 07 Secs","nightLengthDisplay":"13 Hours 46 Mins 53 Secs","moonriseLocal":"04:37","moonsetLocal":"15:18","rahuKala":{"name":"Rāhu Kāla","start":"14:46","end":"16:03","startHours":14.774884825647494,"endHours":16.052221545364343,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:40","end":"10:57","startHours":9.665537946780091,"endHours":10.942874666496941,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:13","end":"13:30","startHours":12.22021138621379,"endHours":13.497548105930642,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:50","startHours":9.495226384151177,"endHours":9.835849509409003,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:49","startHours":7.536643413918672,"endHours":7.809141914124934,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:34","startHours":11.879588260955964,"endHours":12.560834511471617,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:26","startHours":5.748372006315082,"endHours":6.429618256830736,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:07","startHours":6.259306694201822,"endHours":7.110864507346389,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:36","startHours":13.923327012502927,"endHours":14.604573263018581,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:08","end":"17:32","startHours":17.129558265081194,"endHours":17.529558265081192,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:20","end":"17:45","startHours":17.329558265081193,"endHours":17.755337171653476,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:05","end":"18:50","startHours":17.079558265081193,"endHours":18.829558265081193,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:34","startHours":23.879588260955963,"endHours":24.56083451147162,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:07","end":"08:23","startHours":7.110864507346389,"endHours":8.38820122706324,"quality":"inauspicious"},{"name":"Udveg","start":"08:23","end":"09:40","startHours":8.38820122706324,"endHours":9.665537946780091,"quality":"inauspicious"},{"name":"Chala","start":"09:40","end":"10:57","startHours":9.665537946780091,"endHours":10.942874666496941,"quality":"neutral"},{"name":"Labha","start":"10:57","end":"12:13","startHours":10.942874666496941,"endHours":12.22021138621379,"quality":"auspicious"},{"name":"Amṛta","start":"12:13","end":"13:30","startHours":12.22021138621379,"endHours":13.497548105930642,"quality":"auspicious"},{"name":"Kāla","start":"13:30","end":"14:46","startHours":13.497548105930642,"endHours":14.774884825647494,"quality":"inauspicious"},{"name":"Śubha","start":"14:46","end":"16:03","startHours":14.774884825647494,"endHours":16.052221545364343,"quality":"auspicious"},{"name":"Roga","start":"16:03","end":"17:20","startHours":16.052221545364343,"endHours":17.329558265081193,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:20","end":"19:03","startHours":17.329558265081193,"endHours":19.052221545364343,"quality":"inauspicious"},{"name":"Śubha","start":"19:03","end":"20:46","startHours":19.052221545364343,"endHours":20.77488482564749,"quality":"auspicious"},{"name":"Roga","start":"20:46","end":"22:30","startHours":20.77488482564749,"endHours":22.49754810593064,"quality":"inauspicious"},{"name":"Udveg","start":"22:30","end":"00:13","startHours":22.49754810593064,"endHours":24.22021138621379,"quality":"inauspicious"},{"name":"Chala","start":"00:13","end":"01:57","startHours":24.22021138621379,"endHours":25.94287466649694,"quality":"neutral"},{"name":"Labha","start":"01:57","end":"03:40","startHours":25.94287466649694,"endHours":27.66553794678009,"quality":"auspicious"},{"name":"Amṛta","start":"03:40","end":"05:23","startHours":27.66553794678009,"endHours":29.388201227063238,"quality":"auspicious"},{"name":"Kāla","start":"05:23","end":"07:07","startHours":29.388201227063238,"endHours":31.11086450734639,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.110864507346389,"endHours":8.110864507346388,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.110864507346388,"endHours":9.110864507346388,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.110864507346388,"endHours":10.110864507346388,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.110864507346388,"endHours":11.110864507346388,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.110864507346388,"endHours":12.110864507346388,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.110864507346388,"endHours":13.110864507346388,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.110864507346388,"endHours":14.110864507346388,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.110864507346388,"endHours":15.110864507346388,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.110864507346388,"endHours":16.11086450734639,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.11086450734639,"endHours":17.11086450734639,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.11086450734639,"endHours":18.11086450734639,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.11086450734639,"endHours":19.11086450734639,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.11086450734639,"endHours":20.11086450734639,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.11086450734639,"endHours":21.11086450734639,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.11086450734639,"endHours":22.11086450734639,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.11086450734639,"endHours":23.11086450734639,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.11086450734639,"endHours":24.11086450734639,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.11086450734639,"endHours":25.11086450734639,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.11086450734639,"endHours":26.11086450734639,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.11086450734639,"endHours":27.11086450734639,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.11086450734639,"endHours":28.11086450734639,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.11086450734639,"endHours":29.11086450734639,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.11086450734639,"endHours":30.11086450734639,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.11086450734639,"endHours":31.11086450734639,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"North","anandadiYoga":{"name":"Mātaṇga","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":-23.286586368075266,"eotMinutes":3.716916827172506,"ayanamsa":23.0422}},"calendars":{"vikram_samvat":1998,"vikram_samvatsara":"Jaya","saka_samvat":1863,"saka_samvatsara":"Vṛṣa","bengali_samvat":1348,"malayalam_era":1117,"nanakshahi_year":472,"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 Trayodaśī · Vikram 1998 Jaya · Śaka 1863 Vṛṣa"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","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 16, 1941 CE · Ṛṣikeśa · Vidhyamitra","description":"December 16, 1941 CE for Ṛṣikeśa: Kṛṣṇa Trayodaśī, sūryodaya 07:07, sūryāsta 17:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1941-12-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1941-12-16","sa":"https://sa.vidhyamitra.com/city/rishikesh/1941-12-16","hi":"https://hi.vidhyamitra.com/city/rishikesh/1941-12-16","x-default":"https://vidhyamitra.com/city/rishikesh/1941-12-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T02:39:44.818Z","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":"2026-05-31T02:39:44.818Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T02:39:44.818Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}