{"id":"vidhyamitra:city-day:rishikesh:2112-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2112-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2112-01-01","date_display":"January 1, 2112 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":2112,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492451.770833,"kali_year":5213,"ahargana":1903986.2708,"sun":{"sidereal_longitude":253.7901,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":270.1446,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":16.3545,"elapsed_within_tithi_degrees":4.3545},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":270.1446,"elapsed_within_degrees":3.4779},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":163.9347},"karana":{"half_tithi_index":2,"name":"Bālava"},"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":2112,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2492451.770833,"ahargana":1903986.2708,"kali_year":5213,"ayanamsa_lahiri":25.4175,"grahas":{"sun":{"sidereal_longitude":254.30997100000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":272.962771,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":0.5868},"mars":{"sidereal_longitude":192.151571,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":245.70237099999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":178.02327100000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":220.935071,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":304.24277099999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":97.6447,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":277.6447,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2112,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492451.770833,"kali_year":5213,"ahargana":1903986.2708,"sun":{"sidereal_longitude":253.7901,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":270.1446,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":16.3545,"elapsed_within_tithi_degrees":4.3545},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":270.1446,"elapsed_within_degrees":3.4779},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":163.9347},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.587,"elongation":16.354},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.587,"opposition_distance":163.646}},"eclipse_window_40days":[{"offset_days":13,"type":"lunar","occurs":true,"moon_latitude":-0.653,"opposition_distance":1.452}]},"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":"07:13","sunsetLocal":"17:28","solarNoonLocal":"12:21","dayLengthHours":10.237888540737643,"dayLengthDisplay":"10 Hours 14 Mins 16 Secs","nightLengthDisplay":"13 Hours 45 Mins 44 Secs","moonriseLocal":"08:22","moonsetLocal":"18:48","rahuKala":{"name":"Rāhu Kāla","start":"11:04","end":"12:21","startHours":11.064176904464393,"endHours":12.3439129720566,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:54","end":"16:11","startHours":14.90338510724101,"endHours":16.183121174833214,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:30","end":"09:47","startHours":8.504704769279982,"endHours":9.78444083687219,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:57","startHours":9.613809361193228,"endHours":9.955072312551149,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:55","startHours":7.651547390885179,"endHours":7.924557751971516,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:41","startHours":12.00265002069868,"endHours":12.685175923414521,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.859916896256092,"endHours":6.542442798971935,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:13","startHours":6.371811323292974,"endHours":7.224968701687778,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:03","end":"14:44","startHours":14.050227728846206,"endHours":14.73275363156205,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:16","end":"17:40","startHours":17.262857242425422,"endHours":17.66285724242542,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:28","end":"17:53","startHours":17.46285724242542,"endHours":17.889435931622824,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:13","end":"18:58","startHours":17.21285724242542,"endHours":18.96285724242542,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:41","startHours":24.002650020698677,"endHours":24.685175923414523,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:13","end":"08:30","startHours":7.224968701687778,"endHours":8.504704769279982,"quality":"neutral"},{"name":"Labha","start":"08:30","end":"09:47","startHours":8.504704769279982,"endHours":9.78444083687219,"quality":"auspicious"},{"name":"Amṛta","start":"09:47","end":"11:04","startHours":9.78444083687219,"endHours":11.064176904464393,"quality":"auspicious"},{"name":"Kāla","start":"11:04","end":"12:21","startHours":11.064176904464393,"endHours":12.3439129720566,"quality":"inauspicious"},{"name":"Śubha","start":"12:21","end":"13:37","startHours":12.3439129720566,"endHours":13.623649039648804,"quality":"auspicious"},{"name":"Roga","start":"13:37","end":"14:54","startHours":13.623649039648804,"endHours":14.90338510724101,"quality":"inauspicious"},{"name":"Udveg","start":"14:54","end":"16:11","startHours":14.90338510724101,"endHours":16.183121174833214,"quality":"inauspicious"},{"name":"Chala","start":"16:11","end":"17:28","startHours":16.183121174833214,"endHours":17.46285724242542,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:28","end":"19:11","startHours":17.46285724242542,"endHours":19.183121174833218,"quality":"inauspicious"},{"name":"Udveg","start":"19:11","end":"20:54","startHours":19.183121174833218,"endHours":20.90338510724101,"quality":"inauspicious"},{"name":"Chala","start":"20:54","end":"22:37","startHours":20.90338510724101,"endHours":22.623649039648804,"quality":"neutral"},{"name":"Labha","start":"22:37","end":"00:21","startHours":22.623649039648804,"endHours":24.3439129720566,"quality":"auspicious"},{"name":"Amṛta","start":"00:21","end":"02:04","startHours":24.3439129720566,"endHours":26.064176904464397,"quality":"auspicious"},{"name":"Kāla","start":"02:04","end":"03:47","startHours":26.064176904464397,"endHours":27.78444083687219,"quality":"inauspicious"},{"name":"Śubha","start":"03:47","end":"05:30","startHours":27.78444083687219,"endHours":29.504704769279982,"quality":"auspicious"},{"name":"Roga","start":"05:30","end":"07:13","startHours":29.504704769279982,"endHours":31.22496870168778,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.224968701687778,"endHours":8.224968701687779,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.224968701687779,"endHours":9.224968701687779,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.224968701687779,"endHours":10.224968701687779,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.224968701687779,"endHours":11.224968701687779,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.224968701687779,"endHours":12.224968701687779,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.224968701687779,"endHours":13.224968701687779,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.224968701687779,"endHours":14.224968701687779,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.224968701687779,"endHours":15.224968701687779,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.224968701687779,"endHours":16.22496870168778,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.22496870168778,"endHours":17.22496870168778,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.22496870168778,"endHours":18.22496870168778,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.22496870168778,"endHours":19.22496870168778,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.22496870168778,"endHours":20.22496870168778,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.22496870168778,"endHours":21.22496870168778,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.22496870168778,"endHours":22.22496870168778,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.22496870168778,"endHours":23.22496870168778,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.22496870168778,"endHours":24.22496870168778,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.22496870168778,"endHours":25.22496870168778,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.22496870168778,"endHours":26.22496870168778,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.22496870168778,"endHours":27.22496870168778,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.22496870168778,"endHours":28.22496870168778,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.22496870168778,"endHours":29.22496870168778,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.22496870168778,"endHours":30.22496870168778,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.22496870168778,"endHours":31.22496870168778,"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.079880227759613,"eotMinutes":-3.705178323396069,"ayanamsa":25.4175}},"calendars":{"vikram_samvat":2169,"vikram_samvatsara":"Pārthiva","saka_samvat":2034,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1519,"malayalam_era":1288,"nanakshahi_year":643,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Dvitīyā · Vikram 2169 Pārthiva · Śaka 2034 Aṅgirasa"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"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":[]},"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 January 1, 2112 CE · Ṛṣikeśa · Vidhyamitra","description":"January 1, 2112 CE for Ṛṣikeśa: Śukla Dvitīyā, sūryodaya 07:13, sūryāsta 17:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2112-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2112-01-01","sa":"https://sa.vidhyamitra.com/city/rishikesh/2112-01-01","hi":"https://hi.vidhyamitra.com/city/rishikesh/2112-01-01","x-default":"https://vidhyamitra.com/city/rishikesh/2112-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T13:16:45.784Z","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":"2026-05-21T13:16:45.784Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T13:16:45.784Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}