{"id":"vidhyamitra:city-day:rishikesh:2114-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2114-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2114-12-13","date_display":"December 13, 2114 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":2114,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493528.770833,"kali_year":5216,"ahargana":1905063.2708,"sun":{"sidereal_longitude":234.5103,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":64.6266,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":190.1163,"elapsed_within_tithi_degrees":10.1163},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":64.6266,"elapsed_within_degrees":11.2933},"yoga":{"number":23,"name":"Śubha","sum_longitude":299.1369},"karana":{"half_tithi_index":31,"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":2114,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493528.770833,"ahargana":1905063.2708,"kali_year":5216,"ayanamsa_lahiri":25.4587,"grahas":{"sun":{"sidereal_longitude":235.20412199999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":66.28982200000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false,"latitude":1.8321},"mars":{"sidereal_longitude":340.299722,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":250.56062199999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":249.040522,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"venus":{"sidereal_longitude":186.84122200000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":338.518322,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":40.5801,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":220.5801,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2114,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493528.770833,"kali_year":5216,"ahargana":1905063.2708,"sun":{"sidereal_longitude":234.5103,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":64.6266,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":190.1163,"elapsed_within_tithi_degrees":10.1163},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":64.6266,"elapsed_within_degrees":11.2933},"yoga":{"number":23,"name":"Śubha","sum_longitude":299.1369},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.832,"elongation":169.884},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.832,"opposition_distance":10.116}},"eclipse_window_40days":[{"offset_days":-16,"type":"solar","occurs":true,"moon_latitude":0.434,"elongation":2.277}]},"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":10.2352974330445,"dayLengthDisplay":"10 Hours 14 Mins 07 Secs","nightLengthDisplay":"13 Hours 45 Mins 53 Secs","moonriseLocal":"17:55","moonsetLocal":"07:57","rahuKala":{"name":"Rāhu Kāla","start":"13:29","end":"14:45","startHours":13.476728008306928,"endHours":14.75614018743749,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:05","end":"08:22","startHours":7.079667112654114,"endHours":8.359079291784678,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:38","end":"10:55","startHours":9.63849147091524,"endHours":10.917903650045801,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:49","startHours":9.467903180364498,"endHours":9.80907976146598,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:30","end":"07:47","startHours":7.506137839030968,"endHours":7.779079103912155,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:32","startHours":11.85613924807488,"endHours":12.538492410277849,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:24","startHours":5.714960788248181,"endHours":6.397313950451148,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:05","startHours":6.2267256599004055,"endHours":7.079667112654114,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:54","end":"14:35","startHours":13.90319873468378,"endHours":14.585551896886747,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:07","end":"17:31","startHours":17.114964545698616,"endHours":17.514964545698614,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:19","end":"17:44","startHours":17.314964545698615,"endHours":17.74143527207547,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:04","end":"18:49","startHours":17.064964545698615,"endHours":18.814964545698615,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:32","startHours":23.856139248074882,"endHours":24.538492410277847,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:05","end":"08:22","startHours":7.079667112654114,"endHours":8.359079291784678,"quality":"auspicious"},{"name":"Roga","start":"08:22","end":"09:38","startHours":8.359079291784678,"endHours":9.63849147091524,"quality":"inauspicious"},{"name":"Udveg","start":"09:38","end":"10:55","startHours":9.63849147091524,"endHours":10.917903650045801,"quality":"inauspicious"},{"name":"Chala","start":"10:55","end":"12:12","startHours":10.917903650045801,"endHours":12.197315829176365,"quality":"neutral"},{"name":"Labha","start":"12:12","end":"13:29","startHours":12.197315829176365,"endHours":13.476728008306928,"quality":"auspicious"},{"name":"Amṛta","start":"13:29","end":"14:45","startHours":13.476728008306928,"endHours":14.75614018743749,"quality":"auspicious"},{"name":"Kāla","start":"14:45","end":"16:02","startHours":14.75614018743749,"endHours":16.03555236656805,"quality":"inauspicious"},{"name":"Śubha","start":"16:02","end":"17:19","startHours":16.03555236656805,"endHours":17.314964545698615,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:19","end":"19:02","startHours":17.314964545698615,"endHours":19.03555236656805,"quality":"auspicious"},{"name":"Kāla","start":"19:02","end":"20:45","startHours":19.03555236656805,"endHours":20.756140187437488,"quality":"inauspicious"},{"name":"Śubha","start":"20:45","end":"22:29","startHours":20.756140187437488,"endHours":22.476728008306928,"quality":"auspicious"},{"name":"Roga","start":"22:29","end":"00:12","startHours":22.476728008306928,"endHours":24.197315829176365,"quality":"inauspicious"},{"name":"Udveg","start":"00:12","end":"01:55","startHours":24.197315829176365,"endHours":25.9179036500458,"quality":"inauspicious"},{"name":"Chala","start":"01:55","end":"03:38","startHours":25.9179036500458,"endHours":27.63849147091524,"quality":"neutral"},{"name":"Labha","start":"03:38","end":"05:22","startHours":27.63849147091524,"endHours":29.359079291784678,"quality":"auspicious"},{"name":"Amṛta","start":"05:22","end":"07:05","startHours":29.359079291784678,"endHours":31.079667112654114,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.079667112654114,"endHours":8.079667112654114,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.079667112654114,"endHours":9.079667112654114,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.079667112654114,"endHours":10.079667112654114,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.079667112654114,"endHours":11.079667112654114,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.079667112654114,"endHours":12.079667112654114,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.079667112654114,"endHours":13.079667112654114,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.079667112654114,"endHours":14.079667112654114,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.079667112654114,"endHours":15.079667112654114,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.079667112654114,"endHours":16.079667112654114,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.079667112654114,"endHours":17.079667112654114,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.079667112654114,"endHours":18.079667112654114,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.079667112654114,"endHours":19.079667112654114,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.079667112654114,"endHours":20.079667112654114,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.079667112654114,"endHours":21.079667112654114,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.079667112654114,"endHours":22.079667112654114,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.079667112654114,"endHours":23.079667112654114,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.079667112654114,"endHours":24.079667112654114,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.079667112654114,"endHours":25.079667112654114,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.079667112654114,"endHours":26.079667112654114,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.079667112654114,"endHours":27.079667112654114,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.079667112654114,"endHours":28.079667112654114,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.079667112654114,"endHours":29.079667112654114,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.079667112654114,"endHours":30.079667112654114,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.079667112654114,"endHours":31.079667112654114,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.107826789993617,"eotMinutes":5.090650249418121,"ayanamsa":25.4587}},"calendars":{"vikram_samvat":2171,"vikram_samvatsara":"Sarvajit","saka_samvat":2036,"saka_samvatsara":"Bhāva","bengali_samvat":1521,"malayalam_era":1290,"nanakshahi_year":645,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Pratipada · Vikram 2171 Sarvajit · Śaka 2036 Bhāva"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5}],"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 13, 2114 CE · Ṛṣikeśa · Vidhyamitra","description":"December 13, 2114 CE for Ṛṣikeśa: Kṛṣṇa Pratipada, sūryodaya 07:05, sūryāsta 17:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2114-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2114-12-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2114-12-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2114-12-13","x-default":"https://vidhyamitra.com/city/rishikesh/2114-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T13:17:52.633Z","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":"2026-05-22T13:17:52.633Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T13:17:52.633Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}