{"id":"vidhyamitra:city-day:rishikesh:2050-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2050-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-01-04","date_display":"January 4, 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":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469810.770833,"kali_year":5151,"ahargana":1881345.2708,"sun":{"sidereal_longitude":258.9748,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":32.1745,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":133.1997,"elapsed_within_tithi_degrees":1.1997},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":32.1745,"elapsed_within_degrees":5.5079},"yoga":{"number":22,"name":"Sādhya","sum_longitude":291.1493},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469810.770833,"ahargana":1881345.2708,"kali_year":5151,"ayanamsa_lahiri":24.5516,"grahas":{"sun":{"sidereal_longitude":259.303624,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":33.74552399999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false,"latitude":0.3996},"mars":{"sidereal_longitude":204.36062400000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":242.545124,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":96.13192400000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"venus":{"sidereal_longitude":259.855824,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":272.662924,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":217.2739,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":37.2739,"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":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469810.770833,"kali_year":5151,"ahargana":1881345.2708,"sun":{"sidereal_longitude":258.9748,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":32.1745,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":133.1997,"elapsed_within_tithi_degrees":1.1997},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":32.1745,"elapsed_within_degrees":5.5079},"yoga":{"number":22,"name":"Sādhya","sum_longitude":291.1493},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.4,"elongation":133.2},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.4,"opposition_distance":46.8}},"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":"07:14","sunsetLocal":"17:30","solarNoonLocal":"12:22","dayLengthHours":10.271533980889522,"dayLengthDisplay":"10 Hours 16 Mins 18 Secs","nightLengthDisplay":"13 Hours 43 Mins 42 Secs","moonriseLocal":"14:29","moonsetLocal":"04:11","rahuKala":{"name":"Rāhu Kāla","start":"14:56","end":"16:13","startHours":14.933775276311485,"endHours":16.217717023922674,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:48","end":"11:05","startHours":9.798008285866723,"endHours":11.081950033477913,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:22","end":"13:39","startHours":12.365891781089104,"endHours":13.649833528700295,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:58","startHours":9.626816052851897,"endHours":9.969200518881548,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:56","startHours":7.658105373181407,"endHours":7.932012946005127,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:42","startHours":12.023507315059453,"endHours":12.708276247118755,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.86058692652574,"endHours":6.545355858585041,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.374163625570216,"endHours":7.230124790644343,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:46","startHours":14.077814111237357,"endHours":14.762583043296658,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:18","end":"17:42","startHours":17.301658771533866,"endHours":17.701658771533864,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:30","end":"17:56","startHours":17.501658771533865,"endHours":17.92963935407093,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:15","end":"19:00","startHours":17.251658771533865,"endHours":19.001658771533865,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:42","startHours":24.023507315059454,"endHours":24.708276247118754,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:14","end":"08:31","startHours":7.230124790644343,"endHours":8.514066538255534,"quality":"inauspicious"},{"name":"Udveg","start":"08:31","end":"09:48","startHours":8.514066538255534,"endHours":9.798008285866723,"quality":"inauspicious"},{"name":"Chala","start":"09:48","end":"11:05","startHours":9.798008285866723,"endHours":11.081950033477913,"quality":"neutral"},{"name":"Labha","start":"11:05","end":"12:22","startHours":11.081950033477913,"endHours":12.365891781089104,"quality":"auspicious"},{"name":"Amṛta","start":"12:22","end":"13:39","startHours":12.365891781089104,"endHours":13.649833528700295,"quality":"auspicious"},{"name":"Kāla","start":"13:39","end":"14:56","startHours":13.649833528700295,"endHours":14.933775276311485,"quality":"inauspicious"},{"name":"Śubha","start":"14:56","end":"16:13","startHours":14.933775276311485,"endHours":16.217717023922674,"quality":"auspicious"},{"name":"Roga","start":"16:13","end":"17:30","startHours":16.217717023922674,"endHours":17.501658771533865,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:30","end":"19:13","startHours":17.501658771533865,"endHours":19.217717023922674,"quality":"inauspicious"},{"name":"Śubha","start":"19:13","end":"20:56","startHours":19.217717023922674,"endHours":20.933775276311486,"quality":"auspicious"},{"name":"Roga","start":"20:56","end":"22:39","startHours":20.933775276311486,"endHours":22.649833528700295,"quality":"inauspicious"},{"name":"Udveg","start":"22:39","end":"00:22","startHours":22.649833528700295,"endHours":24.365891781089104,"quality":"inauspicious"},{"name":"Chala","start":"00:22","end":"02:05","startHours":24.365891781089104,"endHours":26.081950033477913,"quality":"neutral"},{"name":"Labha","start":"02:05","end":"03:48","startHours":26.081950033477913,"endHours":27.79800828586672,"quality":"auspicious"},{"name":"Amṛta","start":"03:48","end":"05:31","startHours":27.79800828586672,"endHours":29.514066538255534,"quality":"auspicious"},{"name":"Kāla","start":"05:31","end":"07:14","startHours":29.514066538255534,"endHours":31.230124790644343,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.230124790644343,"endHours":8.230124790644343,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.230124790644343,"endHours":9.230124790644343,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.230124790644343,"endHours":10.230124790644343,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.230124790644343,"endHours":11.230124790644343,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.230124790644343,"endHours":12.230124790644343,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.230124790644343,"endHours":13.230124790644343,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.230124790644343,"endHours":14.230124790644343,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.230124790644343,"endHours":15.230124790644343,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.230124790644343,"endHours":16.230124790644343,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.230124790644343,"endHours":17.230124790644343,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.230124790644343,"endHours":18.230124790644343,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.230124790644343,"endHours":19.230124790644343,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.230124790644343,"endHours":20.230124790644343,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.230124790644343,"endHours":21.230124790644343,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.230124790644343,"endHours":22.230124790644343,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.230124790644343,"endHours":23.230124790644343,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.230124790644343,"endHours":24.230124790644343,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.230124790644343,"endHours":25.230124790644343,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.230124790644343,"endHours":26.230124790644343,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.230124790644343,"endHours":27.230124790644343,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.230124790644343,"endHours":28.230124790644343,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.230124790644343,"endHours":29.230124790644343,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.230124790644343,"endHours":30.230124790644343,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.230124790644343,"endHours":31.230124790644343,"planetary_lord":"Saturn"}],"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":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Chatra","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":-22.71577374375791,"eotMinutes":-5.02390686534617,"ayanamsa":24.5516}},"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 Dvādaśī · 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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 January 4, 2050 CE · Ṛṣikeśa · Vidhyamitra","description":"January 4, 2050 CE for Ṛṣikeśa: Śukla Dvādaśī, sūryodaya 07:14, sūryāsta 17:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2050-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2050-01-04","sa":"https://sa.vidhyamitra.com/city/rishikesh/2050-01-04","hi":"https://hi.vidhyamitra.com/city/rishikesh/2050-01-04","x-default":"https://vidhyamitra.com/city/rishikesh/2050-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T09:13:30.018Z","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":"2026-05-17T09:13:30.018Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T09:13:30.018Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}