{"id":"vidhyamitra:city-day:rishikesh:1940-12-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1940-12-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1940-12-16","date_display":"December 16, 1940 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":1940,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2429979.770833,"kali_year":5042,"ahargana":1841514.2708,"sun":{"sidereal_longitude":240.6881,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":75.0706,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":194.3824,"elapsed_within_tithi_degrees":2.3824},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":75.0706,"elapsed_within_degrees":8.4039},"yoga":{"number":24,"name":"Śukla","sum_longitude":315.7587},"karana":{"half_tithi_index":32,"name":"Taitila"},"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":1940,"month":12,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2429979.770833,"ahargana":1841514.2708,"kali_year":5042,"ayanamsa_lahiri":23.0282,"grahas":{"sun":{"sidereal_longitude":240.91876100000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":75.45726100000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":-4.4952},"mars":{"sidereal_longitude":204.56366100000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":227.27126099999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":13.694760999999971,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":211.89096100000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":15.803360999999995,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":167.7119,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":347.7119,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":1940,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2429979.770833,"kali_year":5042,"ahargana":1841514.2708,"sun":{"sidereal_longitude":240.6881,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":75.0706,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":194.3824,"elapsed_within_tithi_degrees":2.3824},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":75.0706,"elapsed_within_degrees":8.4039},"yoga":{"number":24,"name":"Śukla","sum_longitude":315.7587},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.495,"elongation":165.618},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.495,"opposition_distance":14.382}},"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":10.217622914812416,"dayLengthDisplay":"10 Hours 13 Mins 03 Secs","nightLengthDisplay":"13 Hours 46 Mins 57 Secs","moonriseLocal":"18:11","moonsetLocal":"08:12","rahuKala":{"name":"Rāhu Kāla","start":"08:23","end":"09:40","startHours":8.388602793159134,"endHours":9.665805657510687,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:57","end":"12:13","startHours":10.94300852186224,"endHours":12.22021138621379,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:30","end":"14:46","startHours":13.497414250565342,"endHours":14.774617114916895,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:50","startHours":9.495511942263814,"endHours":9.83609937275756,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:49","startHours":7.537134216924766,"endHours":7.809604161319764,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:34","startHours":11.879623955720044,"endHours":12.560798816707537,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:26","startHours":5.749050206832593,"endHours":6.430225067820088,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:07","startHours":6.259931352573214,"endHours":7.111399928807582,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:36","startHours":13.923148538682527,"endHours":14.604323399670022,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:08","end":"17:32","startHours":17.12902284362,"endHours":17.529022843619998,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:20","end":"17:45","startHours":17.32902284362,"endHours":17.754757131737183,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:05","end":"18:50","startHours":17.07902284362,"endHours":18.82902284362,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:34","startHours":23.879623955720042,"endHours":24.56079881670754,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:07","end":"08:23","startHours":7.111399928807582,"endHours":8.388602793159134,"quality":"auspicious"},{"name":"Kāla","start":"08:23","end":"09:40","startHours":8.388602793159134,"endHours":9.665805657510687,"quality":"inauspicious"},{"name":"Śubha","start":"09:40","end":"10:57","startHours":9.665805657510687,"endHours":10.94300852186224,"quality":"auspicious"},{"name":"Roga","start":"10:57","end":"12:13","startHours":10.94300852186224,"endHours":12.22021138621379,"quality":"inauspicious"},{"name":"Udveg","start":"12:13","end":"13:30","startHours":12.22021138621379,"endHours":13.497414250565342,"quality":"inauspicious"},{"name":"Chala","start":"13:30","end":"14:46","startHours":13.497414250565342,"endHours":14.774617114916895,"quality":"neutral"},{"name":"Labha","start":"14:46","end":"16:03","startHours":14.774617114916895,"endHours":16.051819979268448,"quality":"auspicious"},{"name":"Amṛta","start":"16:03","end":"17:20","startHours":16.051819979268448,"endHours":17.32902284362,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:20","end":"19:03","startHours":17.32902284362,"endHours":19.051819979268448,"quality":"neutral"},{"name":"Labha","start":"19:03","end":"20:46","startHours":19.051819979268448,"endHours":20.774617114916893,"quality":"auspicious"},{"name":"Amṛta","start":"20:46","end":"22:30","startHours":20.774617114916893,"endHours":22.497414250565342,"quality":"auspicious"},{"name":"Kāla","start":"22:30","end":"00:13","startHours":22.497414250565342,"endHours":24.22021138621379,"quality":"inauspicious"},{"name":"Śubha","start":"00:13","end":"01:57","startHours":24.22021138621379,"endHours":25.94300852186224,"quality":"auspicious"},{"name":"Roga","start":"01:57","end":"03:40","startHours":25.94300852186224,"endHours":27.66580565751069,"quality":"inauspicious"},{"name":"Udveg","start":"03:40","end":"05:23","startHours":27.66580565751069,"endHours":29.388602793159134,"quality":"inauspicious"},{"name":"Chala","start":"05:23","end":"07:07","startHours":29.388602793159134,"endHours":31.111399928807582,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.111399928807582,"endHours":8.111399928807582,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.111399928807582,"endHours":9.111399928807582,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.111399928807582,"endHours":10.111399928807582,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.111399928807582,"endHours":11.111399928807582,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.111399928807582,"endHours":12.111399928807582,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.111399928807582,"endHours":13.111399928807582,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.111399928807582,"endHours":14.111399928807582,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.111399928807582,"endHours":15.111399928807582,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.111399928807582,"endHours":16.111399928807582,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.111399928807582,"endHours":17.111399928807582,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.111399928807582,"endHours":18.111399928807582,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.111399928807582,"endHours":19.111399928807582,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.111399928807582,"endHours":20.111399928807582,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.111399928807582,"endHours":21.111399928807582,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.111399928807582,"endHours":22.111399928807582,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.111399928807582,"endHours":23.111399928807582,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.111399928807582,"endHours":24.111399928807582,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.111399928807582,"endHours":25.111399928807582,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.111399928807582,"endHours":26.111399928807582,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.111399928807582,"endHours":27.111399928807582,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.111399928807582,"endHours":28.111399928807582,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.111399928807582,"endHours":29.111399928807582,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.111399928807582,"endHours":30.111399928807582,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.111399928807582,"endHours":31.111399928807582,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"North-East","anandadiYoga":{"name":"Mudgara","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":-23.298096290748035,"eotMinutes":3.716916827172506,"ayanamsa":23.0282}},"calendars":{"vikram_samvat":1997,"vikram_samvatsara":"Vijaya","saka_samvat":1862,"saka_samvatsara":"Vikrama","bengali_samvat":1347,"malayalam_era":1116,"nanakshahi_year":471,"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 Dvitīyā · Vikram 1997 Vijaya · Śaka 1862 Vikrama"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 16, 1940 CE · Ṛṣikeśa · Vidhyamitra","description":"December 16, 1940 CE for Ṛṣikeśa: Kṛṣṇa Dvitīyā, sūryodaya 07:07, sūryāsta 17:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1940-12-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1940-12-16","sa":"https://sa.vidhyamitra.com/city/rishikesh/1940-12-16","hi":"https://hi.vidhyamitra.com/city/rishikesh/1940-12-16","x-default":"https://vidhyamitra.com/city/rishikesh/1940-12-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T00:34:53.174Z","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":"2026-05-31T00:34:53.174Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T00:34:53.174Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}