{"id":"vidhyamitra:city-day:rishikesh:2050-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2050-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-01-01","date_display":"January 1, 2050 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":2050,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469807.770833,"kali_year":5151,"ahargana":1881342.2708,"sun":{"sidereal_longitude":255.8904,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":351.5208,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":95.6304,"elapsed_within_tithi_degrees":11.6304},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":351.5208,"elapsed_within_degrees":4.8541},"yoga":{"number":19,"name":"Parigha","sum_longitude":247.4112},"karana":{"half_tithi_index":15,"name":"Bava"},"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":2050,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469807.770833,"ahargana":1881342.2708,"kali_year":5151,"ayanamsa_lahiri":24.5515,"grahas":{"sun":{"sidereal_longitude":256.246138,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":354.628238,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false,"latitude":3.2306},"mars":{"sidereal_longitude":202.45413800000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":244.67543799999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":96.49503800000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"venus":{"sidereal_longitude":256.081638,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":272.314338,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":217.4328,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":37.4328,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2050,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469807.770833,"kali_year":5151,"ahargana":1881342.2708,"sun":{"sidereal_longitude":255.8904,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":351.5208,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":95.6304,"elapsed_within_tithi_degrees":11.6304},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":351.5208,"elapsed_within_degrees":4.8541},"yoga":{"number":19,"name":"Parigha","sum_longitude":247.4112},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.231,"elongation":95.63},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.231,"opposition_distance":84.37}},"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":"07:13","sunsetLocal":"17:28","solarNoonLocal":"12:21","dayLengthHours":10.245521396402891,"dayLengthDisplay":"10 Hours 14 Mins 44 Secs","nightLengthDisplay":"13 Hours 45 Mins 16 Secs","moonriseLocal":"12:34","moonsetLocal":"01:14","rahuKala":{"name":"Rāhu Kāla","start":"09:47","end":"11:04","startHours":9.782532622955879,"endHours":11.063222797506238,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:37","end":"14:54","startHours":13.624603146606962,"endHours":14.905293321157323,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:13","end":"08:30","startHours":7.2211522738551555,"endHours":8.501842448405517,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:57","startHours":9.61177393301583,"endHours":9.953291312895926,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:55","startHours":7.648048998705276,"endHours":7.921262902609353,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:41","startHours":12.002395592176503,"endHours":12.685430351936697,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:32","startHours":5.85508275433477,"endHours":6.538117514094963,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:13","startHours":6.367358824154914,"endHours":7.2211522738551555,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:03","end":"14:44","startHours":14.051499871457082,"endHours":14.734534631217276,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:16","end":"17:40","startHours":17.266673670258047,"endHours":17.666673670258046,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:28","end":"17:54","startHours":17.466673670258047,"endHours":17.893570395108167,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:13","end":"18:58","startHours":17.216673670258047,"endHours":18.966673670258047,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:41","startHours":24.002395592176505,"endHours":24.685430351936695,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:13","end":"08:30","startHours":7.2211522738551555,"endHours":8.501842448405517,"quality":"inauspicious"},{"name":"Śubha","start":"08:30","end":"09:47","startHours":8.501842448405517,"endHours":9.782532622955879,"quality":"auspicious"},{"name":"Roga","start":"09:47","end":"11:04","startHours":9.782532622955879,"endHours":11.063222797506238,"quality":"inauspicious"},{"name":"Udveg","start":"11:04","end":"12:21","startHours":11.063222797506238,"endHours":12.3439129720566,"quality":"inauspicious"},{"name":"Chala","start":"12:21","end":"13:37","startHours":12.3439129720566,"endHours":13.624603146606962,"quality":"neutral"},{"name":"Labha","start":"13:37","end":"14:54","startHours":13.624603146606962,"endHours":14.905293321157323,"quality":"auspicious"},{"name":"Amṛta","start":"14:54","end":"16:11","startHours":14.905293321157323,"endHours":16.185983495707685,"quality":"auspicious"},{"name":"Kāla","start":"16:11","end":"17:28","startHours":16.185983495707685,"endHours":17.466673670258047,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:28","end":"19:11","startHours":17.466673670258047,"endHours":19.185983495707685,"quality":"auspicious"},{"name":"Amṛta","start":"19:11","end":"20:54","startHours":19.185983495707685,"endHours":20.905293321157323,"quality":"auspicious"},{"name":"Kāla","start":"20:54","end":"22:37","startHours":20.905293321157323,"endHours":22.62460314660696,"quality":"inauspicious"},{"name":"Śubha","start":"22:37","end":"00:21","startHours":22.62460314660696,"endHours":24.3439129720566,"quality":"auspicious"},{"name":"Roga","start":"00:21","end":"02:04","startHours":24.3439129720566,"endHours":26.063222797506242,"quality":"inauspicious"},{"name":"Udveg","start":"02:04","end":"03:47","startHours":26.063222797506242,"endHours":27.782532622955877,"quality":"inauspicious"},{"name":"Chala","start":"03:47","end":"05:30","startHours":27.782532622955877,"endHours":29.50184244840552,"quality":"neutral"},{"name":"Labha","start":"05:30","end":"07:13","startHours":29.50184244840552,"endHours":31.221152273855154,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.2211522738551555,"endHours":8.221152273855155,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.221152273855155,"endHours":9.221152273855155,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.221152273855155,"endHours":10.221152273855155,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.221152273855155,"endHours":11.221152273855155,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.221152273855155,"endHours":12.221152273855155,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.221152273855155,"endHours":13.221152273855155,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.221152273855155,"endHours":14.221152273855155,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.221152273855155,"endHours":15.221152273855155,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.221152273855155,"endHours":16.221152273855154,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.221152273855154,"endHours":17.221152273855154,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.221152273855154,"endHours":18.221152273855154,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.221152273855154,"endHours":19.221152273855154,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.221152273855154,"endHours":20.221152273855154,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.221152273855154,"endHours":21.221152273855154,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.221152273855154,"endHours":22.221152273855154,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.221152273855154,"endHours":23.221152273855154,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.221152273855154,"endHours":24.221152273855154,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.221152273855154,"endHours":25.221152273855154,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.221152273855154,"endHours":26.221152273855154,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.221152273855154,"endHours":27.221152273855154,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.221152273855154,"endHours":28.221152273855154,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.221152273855154,"endHours":29.221152273855154,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.221152273855154,"endHours":30.221152273855154,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.221152273855154,"endHours":31.221152273855154,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"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":-22.99747723997615,"eotMinutes":-3.705178323396069,"ayanamsa":24.5515}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Aṣṭamī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"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":"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":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","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 January 1, 2050 CE · Ṛṣikeśa · Vidhyamitra","description":"January 1, 2050 CE for Ṛṣikeśa: Śukla Aṣṭamī, sūryodaya 07:13, sūryāsta 17:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2050-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2050-01-01","sa":"https://sa.vidhyamitra.com/city/rishikesh/2050-01-01","hi":"https://hi.vidhyamitra.com/city/rishikesh/2050-01-01","x-default":"https://vidhyamitra.com/city/rishikesh/2050-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T08:00:18.898Z","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":"2026-05-16T08:00:18.898Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T08:00:18.898Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}