{"id":"vidhyamitra:city-day:rishikesh:2119-12-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2119-12-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2119-12-14","date_display":"December 14, 2119 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":2119,"month":12,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495355.770833,"kali_year":5221,"ahargana":1906890.2708,"sun":{"sidereal_longitude":235.2341,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":21.4571,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":146.223,"elapsed_within_tithi_degrees":2.223},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":21.4571,"elapsed_within_degrees":8.1238},"yoga":{"number":20,"name":"Śiva","sum_longitude":256.6912},"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":2119,"month":12,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495355.770833,"ahargana":1906890.2708,"kali_year":5221,"ayanamsa_lahiri":25.5286,"grahas":{"sun":{"sidereal_longitude":235.93441699999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":22.938617000000022,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":4.3962},"mars":{"sidereal_longitude":236.570517,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":233.95151699999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":53.85891700000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":199.15661699999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":49.22321699999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":303.7769,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":123.7769,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"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":2119,"month":12,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495355.770833,"kali_year":5221,"ahargana":1906890.2708,"sun":{"sidereal_longitude":235.2341,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":21.4571,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":146.223,"elapsed_within_tithi_degrees":2.223},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":21.4571,"elapsed_within_degrees":8.1238},"yoga":{"number":20,"name":"Śiva","sum_longitude":256.6912},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.396,"elongation":146.223},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.396,"opposition_distance":33.777}},"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":"07:05","sunsetLocal":"17:19","solarNoonLocal":"12:12","dayLengthHours":10.230308973503476,"dayLengthDisplay":"10 Hours 13 Mins 49 Secs","nightLengthDisplay":"13 Hours 46 Mins 11 Secs","moonriseLocal":"15:16","moonsetLocal":"04:45","rahuKala":{"name":"Rāhu Kāla","start":"13:29","end":"14:46","startHours":13.483682125454077,"endHours":14.762470747142011,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:05","end":"08:22","startHours":7.089739017014405,"endHours":8.36852763870234,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:39","end":"10:56","startHours":9.647316260390273,"endHours":10.926104882078208,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:29","end":"09:49","startHours":9.476811110831882,"endHours":9.817821409948666,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:31","end":"07:47","startHours":7.516001890910383,"endHours":7.788810130203809,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:33","startHours":11.863883204649362,"endHours":12.545903802882926,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:24","startHours":5.725697820547275,"endHours":6.407718418780839,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:05","startHours":6.2372132692224485,"endHours":7.089739017014405,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:36","startHours":13.909944999350056,"endHours":14.591965597583622,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.120047990517882,"endHours":17.52004799051788,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:45","startHours":17.32004799051788,"endHours":17.74631086441386,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.07004799051788,"endHours":18.82004799051788,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:33","startHours":23.863883204649362,"endHours":24.545903802882926,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:05","end":"08:22","startHours":7.089739017014405,"endHours":8.36852763870234,"quality":"auspicious"},{"name":"Roga","start":"08:22","end":"09:39","startHours":8.36852763870234,"endHours":9.647316260390273,"quality":"inauspicious"},{"name":"Udveg","start":"09:39","end":"10:56","startHours":9.647316260390273,"endHours":10.926104882078208,"quality":"inauspicious"},{"name":"Chala","start":"10:56","end":"12:12","startHours":10.926104882078208,"endHours":12.204893503766144,"quality":"neutral"},{"name":"Labha","start":"12:12","end":"13:29","startHours":12.204893503766144,"endHours":13.483682125454077,"quality":"auspicious"},{"name":"Amṛta","start":"13:29","end":"14:46","startHours":13.483682125454077,"endHours":14.762470747142011,"quality":"auspicious"},{"name":"Kāla","start":"14:46","end":"16:02","startHours":14.762470747142011,"endHours":16.041259368829948,"quality":"inauspicious"},{"name":"Śubha","start":"16:02","end":"17:19","startHours":16.041259368829948,"endHours":17.32004799051788,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:19","end":"19:02","startHours":17.32004799051788,"endHours":19.041259368829948,"quality":"auspicious"},{"name":"Kāla","start":"19:02","end":"20:46","startHours":19.041259368829948,"endHours":20.76247074714201,"quality":"inauspicious"},{"name":"Śubha","start":"20:46","end":"22:29","startHours":20.76247074714201,"endHours":22.483682125454077,"quality":"auspicious"},{"name":"Roga","start":"22:29","end":"00:12","startHours":22.483682125454077,"endHours":24.204893503766144,"quality":"inauspicious"},{"name":"Udveg","start":"00:12","end":"01:56","startHours":24.204893503766144,"endHours":25.92610488207821,"quality":"inauspicious"},{"name":"Chala","start":"01:56","end":"03:39","startHours":25.92610488207821,"endHours":27.647316260390276,"quality":"neutral"},{"name":"Labha","start":"03:39","end":"05:22","startHours":27.647316260390276,"endHours":29.36852763870234,"quality":"auspicious"},{"name":"Amṛta","start":"05:22","end":"07:05","startHours":29.36852763870234,"endHours":31.089739017014406,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.089739017014405,"endHours":8.089739017014406,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.089739017014406,"endHours":9.089739017014406,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.089739017014406,"endHours":10.089739017014406,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.089739017014406,"endHours":11.089739017014406,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.089739017014406,"endHours":12.089739017014406,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.089739017014406,"endHours":13.089739017014406,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.089739017014406,"endHours":14.089739017014406,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.089739017014406,"endHours":15.089739017014406,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.089739017014406,"endHours":16.089739017014406,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.089739017014406,"endHours":17.089739017014406,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.089739017014406,"endHours":18.089739017014406,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.089739017014406,"endHours":19.089739017014406,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.089739017014406,"endHours":20.089739017014406,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.089739017014406,"endHours":21.089739017014406,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.089739017014406,"endHours":22.089739017014406,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.089739017014406,"endHours":23.089739017014406,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.089739017014406,"endHours":24.089739017014406,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.089739017014406,"endHours":25.089739017014406,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.089739017014406,"endHours":26.089739017014406,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.089739017014406,"endHours":27.089739017014406,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.089739017014406,"endHours":28.089739017014406,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.089739017014406,"endHours":29.089739017014406,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.089739017014406,"endHours":30.089739017014406,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.089739017014406,"endHours":31.089739017014406,"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":-23.161592160356,"eotMinutes":4.63598977403141,"ayanamsa":25.5286}},"calendars":{"vikram_samvat":2176,"vikram_samvatsara":"Nandana","saka_samvat":2041,"saka_samvatsara":"Pramāthi","bengali_samvat":1526,"malayalam_era":1295,"nanakshahi_year":650,"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 2176 Nandana · Śaka 2041 Pramāthi"},"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 14, 2119 CE · Ṛṣikeśa · Vidhyamitra","description":"December 14, 2119 CE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 07:05, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2119-12-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2119-12-14","sa":"https://sa.vidhyamitra.com/city/rishikesh/2119-12-14","hi":"https://hi.vidhyamitra.com/city/rishikesh/2119-12-14","x-default":"https://vidhyamitra.com/city/rishikesh/2119-12-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T18:30:23.299Z","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":"2026-06-02T18:30:23.299Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T18:30:23.299Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}