{"id":"vidhyamitra:city-day:rishikesh:2013-12-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2013-12-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-12-14","date_display":"December 14, 2013 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":2013,"month":12,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456640.770833,"kali_year":5115,"ahargana":1868175.2708,"sun":{"sidereal_longitude":237.7238,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":19.3338,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":141.61,"elapsed_within_tithi_degrees":9.61},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":19.3338,"elapsed_within_degrees":6.0005},"yoga":{"number":20,"name":"Śiva","sum_longitude":257.0576},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2013,"month":12,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456640.770833,"ahargana":1868175.2708,"kali_year":5115,"ayanamsa_lahiri":24.0479,"grahas":{"sun":{"sidereal_longitude":238.152014,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":20.709213999999974,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":-0.3331},"mars":{"sidereal_longitude":158.88471400000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":229.47211399999992,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":83.67371400000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"venus":{"sidereal_longitude":273.56081399999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":204.26471400000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":195.0839,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":15.0839,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2013,"month":12,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456640.770833,"kali_year":5115,"ahargana":1868175.2708,"sun":{"sidereal_longitude":237.7238,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":19.3338,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":141.61,"elapsed_within_tithi_degrees":9.61},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":19.3338,"elapsed_within_degrees":6.0005},"yoga":{"number":20,"name":"Śiva","sum_longitude":257.0576},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.333,"elongation":141.61},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.333,"opposition_distance":38.39}},"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":"07:06","sunsetLocal":"17:19","solarNoonLocal":"12:12","dayLengthHours":10.226102191168453,"dayLengthDisplay":"10 Hours 13 Mins 34 Secs","nightLengthDisplay":"13 Hours 46 Mins 26 Secs","moonriseLocal":"15:01","moonsetLocal":"04:24","rahuKala":{"name":"Rāhu Kāla","start":"09:39","end":"10:56","startHours":9.64836795597403,"endHours":10.926630729870087,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:29","end":"14:46","startHours":13.4831562776622,"endHours":14.761419051558256,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:06","end":"08:22","startHours":7.0918424081819165,"endHours":8.370105182077973,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:29","end":"09:49","startHours":9.477932919454556,"endHours":9.818802992493504,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:31","end":"07:47","startHours":7.517929999480602,"endHours":7.79062605791176,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:33","startHours":11.864023430727196,"endHours":12.545763576805092,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:25","startHours":5.728362116026123,"endHours":6.41010226210402,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:06","startHours":6.239667225584546,"endHours":7.0918424081819165,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:35","startHours":13.909243868960885,"endHours":14.590984015038782,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.11794459935037,"endHours":17.51794459935037,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:45","startHours":17.31794459935037,"endHours":17.744032190649055,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.06794459935037,"endHours":18.81794459935037,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:33","startHours":23.864023430727194,"endHours":24.545763576805093,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:06","end":"08:22","startHours":7.0918424081819165,"endHours":8.370105182077973,"quality":"inauspicious"},{"name":"Śubha","start":"08:22","end":"09:39","startHours":8.370105182077973,"endHours":9.64836795597403,"quality":"auspicious"},{"name":"Roga","start":"09:39","end":"10:56","startHours":9.64836795597403,"endHours":10.926630729870087,"quality":"inauspicious"},{"name":"Udveg","start":"10:56","end":"12:12","startHours":10.926630729870087,"endHours":12.204893503766144,"quality":"inauspicious"},{"name":"Chala","start":"12:12","end":"13:29","startHours":12.204893503766144,"endHours":13.4831562776622,"quality":"neutral"},{"name":"Labha","start":"13:29","end":"14:46","startHours":13.4831562776622,"endHours":14.761419051558256,"quality":"auspicious"},{"name":"Amṛta","start":"14:46","end":"16:02","startHours":14.761419051558256,"endHours":16.039681825454313,"quality":"auspicious"},{"name":"Kāla","start":"16:02","end":"17:19","startHours":16.039681825454313,"endHours":17.31794459935037,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:19","end":"19:02","startHours":17.31794459935037,"endHours":19.039681825454313,"quality":"auspicious"},{"name":"Amṛta","start":"19:02","end":"20:46","startHours":19.039681825454313,"endHours":20.761419051558256,"quality":"auspicious"},{"name":"Kāla","start":"20:46","end":"22:29","startHours":20.761419051558256,"endHours":22.4831562776622,"quality":"inauspicious"},{"name":"Śubha","start":"22:29","end":"00:12","startHours":22.4831562776622,"endHours":24.204893503766144,"quality":"auspicious"},{"name":"Roga","start":"00:12","end":"01:56","startHours":24.204893503766144,"endHours":25.926630729870084,"quality":"inauspicious"},{"name":"Udveg","start":"01:56","end":"03:39","startHours":25.926630729870084,"endHours":27.64836795597403,"quality":"inauspicious"},{"name":"Chala","start":"03:39","end":"05:22","startHours":27.64836795597403,"endHours":29.37010518207797,"quality":"neutral"},{"name":"Labha","start":"05:22","end":"07:06","startHours":29.37010518207797,"endHours":31.09184240818192,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.0918424081819165,"endHours":8.091842408181916,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.091842408181916,"endHours":9.091842408181916,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.091842408181916,"endHours":10.091842408181916,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.091842408181916,"endHours":11.091842408181916,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.091842408181916,"endHours":12.091842408181916,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.091842408181916,"endHours":13.091842408181916,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.091842408181916,"endHours":14.091842408181916,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.091842408181916,"endHours":15.091842408181916,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.091842408181916,"endHours":16.09184240818192,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.09184240818192,"endHours":17.09184240818192,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.09184240818192,"endHours":18.09184240818192,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.09184240818192,"endHours":19.09184240818192,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.09184240818192,"endHours":20.09184240818192,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.09184240818192,"endHours":21.09184240818192,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.09184240818192,"endHours":22.09184240818192,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.09184240818192,"endHours":23.09184240818192,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.09184240818192,"endHours":24.09184240818192,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.09184240818192,"endHours":25.09184240818192,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.09184240818192,"endHours":26.09184240818192,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.09184240818192,"endHours":27.09184240818192,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.09184240818192,"endHours":28.09184240818192,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.09184240818192,"endHours":29.09184240818192,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.09184240818192,"endHours":30.09184240818192,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.09184240818192,"endHours":31.09184240818192,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.206893757234596,"eotMinutes":4.63598977403141,"ayanamsa":24.0479}},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"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 Dvādaśī · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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, 2013 CE · Ṛṣikeśa · Vidhyamitra","description":"December 14, 2013 CE for Ṛṣikeśa: Śukla Dvādaśī, sūryodaya 07:06, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2013-12-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2013-12-14","sa":"https://sa.vidhyamitra.com/city/rishikesh/2013-12-14","hi":"https://hi.vidhyamitra.com/city/rishikesh/2013-12-14","x-default":"https://vidhyamitra.com/city/rishikesh/2013-12-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T04:06:56.486Z","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":"2026-05-31T04:06:56.486Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T04:06:56.486Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}