{"id":"vidhyamitra:city-day:rishikesh:1940-12-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/1940-12-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1940-12-12","date_display":"December 12, 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":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2429975.770833,"kali_year":5042,"ahargana":1841510.2708,"sun":{"sidereal_longitude":236.5847,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":23.8646,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":147.2799,"elapsed_within_tithi_degrees":3.2799},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":23.8646,"elapsed_within_degrees":10.5313},"yoga":{"number":20,"name":"Śiva","sum_longitude":260.4493},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2429975.770833,"ahargana":1841510.2708,"kali_year":5042,"ayanamsa_lahiri":23.0281,"grahas":{"sun":{"sidereal_longitude":236.850013,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":25.22511300000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":-2.6395},"mars":{"sidereal_longitude":201.90371299999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":221.32971299999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":13.925712999999973,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":206.93661299999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":15.99181299999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":167.9239,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":347.9239,"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":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2429975.770833,"kali_year":5042,"ahargana":1841510.2708,"sun":{"sidereal_longitude":236.5847,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":23.8646,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":147.2799,"elapsed_within_tithi_degrees":3.2799},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":23.8646,"elapsed_within_degrees":10.5313},"yoga":{"number":20,"name":"Śiva","sum_longitude":260.4493},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.639,"elongation":147.28},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.639,"opposition_distance":32.72}},"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":"07:04","sunsetLocal":"17:19","solarNoonLocal":"12:11","dayLengthHours":10.240611811569915,"dayLengthDisplay":"10 Hours 14 Mins 26 Secs","nightLengthDisplay":"13 Hours 45 Mins 34 Secs","moonriseLocal":"15:21","moonsetLocal":"04:49","rahuKala":{"name":"Rāhu Kāla","start":"13:28","end":"14:45","startHours":13.469878325427688,"endHours":14.749954801873928,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:04","end":"08:21","startHours":7.069495943196491,"endHours":8.349572419642731,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:38","end":"10:55","startHours":9.62964889608897,"endHours":10.90972537253521,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:48","startHours":9.458972032562805,"endHours":9.800325759615134,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:30","end":"07:46","startHours":7.496188102011905,"endHours":7.769271083653769,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:32","startHours":11.848448121929117,"endHours":12.531155576033779,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:23","startHours":5.704081034987169,"endHours":6.38678848909183,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:04","startHours":6.216111625565665,"endHours":7.069495943196491,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:35","startHours":13.896570484243101,"endHours":14.579277938347762,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.110107754766407,"endHours":17.510107754766405,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:44","startHours":17.310107754766406,"endHours":17.73679991358182,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.060107754766406,"endHours":18.810107754766406,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:32","startHours":23.848448121929117,"endHours":24.531155576033775,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:04","end":"08:21","startHours":7.069495943196491,"endHours":8.349572419642731,"quality":"auspicious"},{"name":"Roga","start":"08:21","end":"09:38","startHours":8.349572419642731,"endHours":9.62964889608897,"quality":"inauspicious"},{"name":"Udveg","start":"09:38","end":"10:55","startHours":9.62964889608897,"endHours":10.90972537253521,"quality":"inauspicious"},{"name":"Chala","start":"10:55","end":"12:11","startHours":10.90972537253521,"endHours":12.18980184898145,"quality":"neutral"},{"name":"Labha","start":"12:11","end":"13:28","startHours":12.18980184898145,"endHours":13.469878325427688,"quality":"auspicious"},{"name":"Amṛta","start":"13:28","end":"14:45","startHours":13.469878325427688,"endHours":14.749954801873928,"quality":"auspicious"},{"name":"Kāla","start":"14:45","end":"16:02","startHours":14.749954801873928,"endHours":16.030031278320166,"quality":"inauspicious"},{"name":"Śubha","start":"16:02","end":"17:19","startHours":16.030031278320166,"endHours":17.310107754766406,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:19","end":"19:02","startHours":17.310107754766406,"endHours":19.030031278320166,"quality":"auspicious"},{"name":"Kāla","start":"19:02","end":"20:45","startHours":19.030031278320166,"endHours":20.749954801873926,"quality":"inauspicious"},{"name":"Śubha","start":"20:45","end":"22:28","startHours":20.749954801873926,"endHours":22.469878325427686,"quality":"auspicious"},{"name":"Roga","start":"22:28","end":"00:11","startHours":22.469878325427686,"endHours":24.18980184898145,"quality":"inauspicious"},{"name":"Udveg","start":"00:11","end":"01:55","startHours":24.18980184898145,"endHours":25.90972537253521,"quality":"inauspicious"},{"name":"Chala","start":"01:55","end":"03:38","startHours":25.90972537253521,"endHours":27.62964889608897,"quality":"neutral"},{"name":"Labha","start":"03:38","end":"05:21","startHours":27.62964889608897,"endHours":29.349572419642733,"quality":"auspicious"},{"name":"Amṛta","start":"05:21","end":"07:04","startHours":29.349572419642733,"endHours":31.069495943196493,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:04","end":"08:04","startHours":7.069495943196491,"endHours":8.069495943196491,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:04","end":"09:04","startHours":8.069495943196491,"endHours":9.069495943196491,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:04","end":"10:04","startHours":9.069495943196491,"endHours":10.069495943196491,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:04","end":"11:04","startHours":10.069495943196491,"endHours":11.069495943196491,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:04","end":"12:04","startHours":11.069495943196491,"endHours":12.069495943196491,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:04","end":"13:04","startHours":12.069495943196491,"endHours":13.069495943196491,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:04","end":"14:04","startHours":13.069495943196491,"endHours":14.069495943196491,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:04","end":"15:04","startHours":14.069495943196491,"endHours":15.069495943196491,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:04","end":"16:04","startHours":15.069495943196491,"endHours":16.069495943196493,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:04","end":"17:04","startHours":16.069495943196493,"endHours":17.069495943196493,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:04","end":"18:04","startHours":17.069495943196493,"endHours":18.069495943196493,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:04","end":"19:04","startHours":18.069495943196493,"endHours":19.069495943196493,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:04","end":"20:04","startHours":19.069495943196493,"endHours":20.069495943196493,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:04","end":"21:04","startHours":20.069495943196493,"endHours":21.069495943196493,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:04","end":"22:04","startHours":21.069495943196493,"endHours":22.069495943196493,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:04","end":"23:04","startHours":22.069495943196493,"endHours":23.069495943196493,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:04","end":"00:04","startHours":23.069495943196493,"endHours":24.069495943196493,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:04","end":"01:04","startHours":24.069495943196493,"endHours":25.069495943196493,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:04","end":"02:04","startHours":25.069495943196493,"endHours":26.069495943196493,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:04","end":"03:04","startHours":26.069495943196493,"endHours":27.069495943196493,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:04","end":"04:04","startHours":27.069495943196493,"endHours":28.069495943196493,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:04","end":"05:04","startHours":28.069495943196493,"endHours":29.069495943196493,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:04","end":"06:04","startHours":29.069495943196493,"endHours":30.069495943196493,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:04","end":"07:04","startHours":30.069495943196493,"endHours":31.069495943196493,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.050493681266577,"eotMinutes":5.541489061113115,"ayanamsa":23.0281}},"calendars":{"vikram_samvat":1997,"vikram_samvatsara":"Vijaya","saka_samvat":1862,"saka_samvatsara":"Vikrama","bengali_samvat":1347,"malayalam_era":1116,"nanakshahi_year":471,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","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 Śukla Trayodaśī · Vikram 1997 Vijaya · Śaka 1862 Vikrama"},"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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 12, 1940 CE · Ṛṣikeśa · Vidhyamitra","description":"December 12, 1940 CE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 07:04, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/1940-12-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/1940-12-12","sa":"https://sa.vidhyamitra.com/city/rishikesh/1940-12-12","hi":"https://hi.vidhyamitra.com/city/rishikesh/1940-12-12","x-default":"https://vidhyamitra.com/city/rishikesh/1940-12-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T17:49:27.924Z","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":"2026-05-31T17:49:27.924Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T17:49:27.924Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}