{"id":"vidhyamitra:city-day:rishikesh:2109-12-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2109-12-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2109-12-06","date_display":"December 6, 2109 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":2109,"month":12,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491695.770833,"kali_year":5211,"ahargana":1903230.2708,"sun":{"sidereal_longitude":227.6454,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":31.6433,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":163.9979,"elapsed_within_tithi_degrees":7.9979},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":31.6433,"elapsed_within_degrees":4.9766},"yoga":{"number":20,"name":"Śiva","sum_longitude":259.2887},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2109,"month":12,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2491695.770833,"ahargana":1903230.2708,"kali_year":5211,"ayanamsa_lahiri":25.3886,"grahas":{"sun":{"sidereal_longitude":228.38365599999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":32.63325600000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false,"latitude":-4.3241},"mars":{"sidereal_longitude":162.65535599999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":244.64385600000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":120.04735599999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":238.89385600000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":280.38925599999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":137.7013,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":317.7013,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"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":2109,"month":12,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491695.770833,"kali_year":5211,"ahargana":1903230.2708,"sun":{"sidereal_longitude":227.6454,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":31.6433,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":163.9979,"elapsed_within_tithi_degrees":7.9979},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":31.6433,"elapsed_within_degrees":4.9766},"yoga":{"number":20,"name":"Śiva","sum_longitude":259.2887},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.324,"elongation":163.998},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.324,"opposition_distance":16.002}},"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":"07:00","sunsetLocal":"17:18","solarNoonLocal":"12:09","dayLengthHours":10.29591019285818,"dayLengthDisplay":"10 Hours 17 Mins 45 Secs","nightLengthDisplay":"13 Hours 42 Mins 15 Secs","moonriseLocal":"16:15","moonsetLocal":"05:57","rahuKala":{"name":"Rāhu Kāla","start":"10:52","end":"12:09","startHours":10.859456567980203,"endHours":12.146445342087475,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:43","end":"16:00","startHours":14.720422890302022,"endHours":16.007411664409293,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:17","end":"09:34","startHours":8.285479019765658,"endHours":9.572467793872931,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:24","end":"09:45","startHours":9.400869290658628,"endHours":9.744066297087233,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:26","end":"07:42","startHours":7.427486503694143,"endHours":7.702044108837028,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:29","startHours":11.80324833565887,"endHours":12.48964234851608,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:38","end":"06:19","startHours":5.625702219943961,"endHours":6.312096232801173,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:08","end":"07:00","startHours":6.140497729586871,"endHours":6.9984902456583855,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:52","end":"14:33","startHours":13.862430374230506,"endHours":14.548824387087718,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.094400438516566,"endHours":17.494400438516564,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:43","startHours":17.294400438516565,"endHours":17.72339669655232,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.044400438516565,"endHours":18.794400438516565,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:29","startHours":23.803248335658868,"endHours":24.48964234851608,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:00","end":"08:17","startHours":6.9984902456583855,"endHours":8.285479019765658,"quality":"neutral"},{"name":"Labha","start":"08:17","end":"09:34","startHours":8.285479019765658,"endHours":9.572467793872931,"quality":"auspicious"},{"name":"Amṛta","start":"09:34","end":"10:52","startHours":9.572467793872931,"endHours":10.859456567980203,"quality":"auspicious"},{"name":"Kāla","start":"10:52","end":"12:09","startHours":10.859456567980203,"endHours":12.146445342087475,"quality":"inauspicious"},{"name":"Śubha","start":"12:09","end":"13:26","startHours":12.146445342087475,"endHours":13.433434116194748,"quality":"auspicious"},{"name":"Roga","start":"13:26","end":"14:43","startHours":13.433434116194748,"endHours":14.720422890302022,"quality":"inauspicious"},{"name":"Udveg","start":"14:43","end":"16:00","startHours":14.720422890302022,"endHours":16.007411664409293,"quality":"inauspicious"},{"name":"Chala","start":"16:00","end":"17:18","startHours":16.007411664409293,"endHours":17.294400438516565,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:18","end":"19:00","startHours":17.294400438516565,"endHours":19.007411664409293,"quality":"inauspicious"},{"name":"Udveg","start":"19:00","end":"20:43","startHours":19.007411664409293,"endHours":20.720422890302018,"quality":"inauspicious"},{"name":"Chala","start":"20:43","end":"22:26","startHours":20.720422890302018,"endHours":22.433434116194746,"quality":"neutral"},{"name":"Labha","start":"22:26","end":"00:09","startHours":22.433434116194746,"endHours":24.146445342087475,"quality":"auspicious"},{"name":"Amṛta","start":"00:09","end":"01:52","startHours":24.146445342087475,"endHours":25.859456567980203,"quality":"auspicious"},{"name":"Kāla","start":"01:52","end":"03:34","startHours":25.859456567980203,"endHours":27.57246779387293,"quality":"inauspicious"},{"name":"Śubha","start":"03:34","end":"05:17","startHours":27.57246779387293,"endHours":29.285479019765656,"quality":"auspicious"},{"name":"Roga","start":"05:17","end":"07:00","startHours":29.285479019765656,"endHours":30.998490245658385,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:00","end":"08:00","startHours":6.9984902456583855,"endHours":7.9984902456583855,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:00","end":"09:00","startHours":7.9984902456583855,"endHours":8.998490245658385,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:00","end":"10:00","startHours":8.998490245658385,"endHours":9.998490245658385,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:00","end":"11:00","startHours":9.998490245658385,"endHours":10.998490245658385,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:00","end":"12:00","startHours":10.998490245658385,"endHours":11.998490245658385,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:00","end":"13:00","startHours":11.998490245658385,"endHours":12.998490245658385,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:00","end":"14:00","startHours":12.998490245658385,"endHours":13.998490245658385,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:00","end":"15:00","startHours":13.998490245658385,"endHours":14.998490245658385,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:00","end":"16:00","startHours":14.998490245658385,"endHours":15.998490245658385,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:00","end":"17:00","startHours":15.998490245658385,"endHours":16.998490245658385,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:00","end":"18:00","startHours":16.998490245658385,"endHours":17.998490245658385,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:00","end":"19:00","startHours":17.998490245658385,"endHours":18.998490245658385,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:00","end":"20:00","startHours":18.998490245658385,"endHours":19.998490245658385,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:00","end":"21:00","startHours":19.998490245658385,"endHours":20.998490245658385,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:00","end":"22:00","startHours":20.998490245658385,"endHours":21.998490245658385,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:00","end":"23:00","startHours":21.998490245658385,"endHours":22.998490245658385,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:00","end":"00:00","startHours":22.998490245658385,"endHours":23.998490245658385,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:00","end":"01:00","startHours":23.998490245658385,"endHours":24.998490245658385,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:00","end":"02:00","startHours":24.998490245658385,"endHours":25.998490245658385,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:00","end":"03:00","startHours":25.998490245658385,"endHours":26.998490245658385,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:00","end":"04:00","startHours":26.998490245658385,"endHours":27.998490245658385,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:00","end":"05:00","startHours":27.998490245658385,"endHours":28.998490245658385,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:00","end":"06:00","startHours":28.998490245658385,"endHours":29.998490245658385,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:00","end":"07:00","startHours":29.998490245658385,"endHours":30.998490245658385,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"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":-22.450566946392655,"eotMinutes":8.142879474751563,"ayanamsa":25.3886}},"calendars":{"vikram_samvat":2166,"vikram_samvatsara":"Citrabhānu","saka_samvat":2031,"saka_samvatsara":"Śukla","bengali_samvat":1516,"malayalam_era":1285,"nanakshahi_year":640,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Caturdaśī · Vikram 2166 Citrabhānu · Śaka 2031 Śukla"},"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"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 6, 2109 CE · Ṛṣikeśa · Vidhyamitra","description":"December 6, 2109 CE for Ṛṣikeśa: Śukla Caturdaśī, sūryodaya 07:00, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2109-12-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2109-12-06","sa":"https://sa.vidhyamitra.com/city/rishikesh/2109-12-06","hi":"https://hi.vidhyamitra.com/city/rishikesh/2109-12-06","x-default":"https://vidhyamitra.com/city/rishikesh/2109-12-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T08:43:22.565Z","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":"2026-05-21T08:43:22.565Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T08:43:22.565Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}