{"id":"vidhyamitra:city-day:rishikesh:2048-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2048-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2048-01-04","date_display":"January 4, 2048 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":2048,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469079.770833,"kali_year":5149,"ahargana":1880614.2708,"sun":{"sidereal_longitude":258.4788,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":111.4558,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":212.977,"elapsed_within_tithi_degrees":8.977},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":111.4558,"elapsed_within_degrees":4.7891},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":9.9346},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"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":2048,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469079.770833,"ahargana":1880614.2708,"kali_year":5149,"ayanamsa_lahiri":24.5236,"grahas":{"sun":{"sidereal_longitude":258.806953,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":110.34335299999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false,"latitude":-2.6082},"mars":{"sidereal_longitude":188.86755300000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":274.325053,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":21.104353000000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":222.85395300000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":252.38285300000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":256.0058,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":76.0058,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2048,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469079.770833,"kali_year":5149,"ahargana":1880614.2708,"sun":{"sidereal_longitude":258.4788,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":111.4558,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":212.977,"elapsed_within_tithi_degrees":8.977},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2,"moon_longitude":111.4558,"elapsed_within_degrees":4.7891},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":9.9346},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.608,"elongation":147.023},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.608,"opposition_distance":32.977}},"eclipse_window_40days":[{"offset_days":-18,"type":"solar","occurs":true,"moon_latitude":-1.209,"elongation":1.381},{"offset_days":-3,"type":"lunar","occurs":true,"moon_latitude":0.282,"opposition_distance":2.822}]},"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":10.266633027303605,"dayLengthDisplay":"10 Hours 16 Mins 00 Secs","nightLengthDisplay":"13 Hours 44 Mins 00 Secs","moonriseLocal":"19:46","moonsetLocal":"09:10","rahuKala":{"name":"Rāhu Kāla","start":"09:48","end":"11:05","startHours":9.799233524263201,"endHours":11.082562652676152,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:39","end":"14:56","startHours":13.649220909502054,"endHours":14.932550037915004,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:14","end":"08:31","startHours":7.2325752674373005,"endHours":8.515904395850251,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:58","startHours":9.628122973808143,"endHours":9.970344074718263,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:56","startHours":7.660351643574951,"endHours":7.9341285243030475,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:42","startHours":12.023670680178984,"endHours":12.708112881999224,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.86369086379682,"endHours":6.54813306561706,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:23","end":"07:14","startHours":6.377022515162,"endHours":7.2325752674373005,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:46","startHours":14.076997285639704,"endHours":14.761439487459945,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:18","end":"17:42","startHours":17.299208294740907,"endHours":17.699208294740906,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:30","end":"17:56","startHours":17.499208294740907,"endHours":17.926984670878557,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:15","end":"19:00","startHours":17.249208294740907,"endHours":18.999208294740907,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:42","startHours":24.023670680178984,"endHours":24.708112881999224,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:14","end":"08:31","startHours":7.2325752674373005,"endHours":8.515904395850251,"quality":"inauspicious"},{"name":"Śubha","start":"08:31","end":"09:48","startHours":8.515904395850251,"endHours":9.799233524263201,"quality":"auspicious"},{"name":"Roga","start":"09:48","end":"11:05","startHours":9.799233524263201,"endHours":11.082562652676152,"quality":"inauspicious"},{"name":"Udveg","start":"11:05","end":"12:22","startHours":11.082562652676152,"endHours":12.365891781089104,"quality":"inauspicious"},{"name":"Chala","start":"12:22","end":"13:39","startHours":12.365891781089104,"endHours":13.649220909502054,"quality":"neutral"},{"name":"Labha","start":"13:39","end":"14:56","startHours":13.649220909502054,"endHours":14.932550037915004,"quality":"auspicious"},{"name":"Amṛta","start":"14:56","end":"16:13","startHours":14.932550037915004,"endHours":16.215879166327955,"quality":"auspicious"},{"name":"Kāla","start":"16:13","end":"17:30","startHours":16.215879166327955,"endHours":17.499208294740907,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:30","end":"19:13","startHours":17.499208294740907,"endHours":19.215879166327955,"quality":"auspicious"},{"name":"Amṛta","start":"19:13","end":"20:56","startHours":19.215879166327955,"endHours":20.932550037915007,"quality":"auspicious"},{"name":"Kāla","start":"20:56","end":"22:39","startHours":20.932550037915007,"endHours":22.649220909502056,"quality":"inauspicious"},{"name":"Śubha","start":"22:39","end":"00:22","startHours":22.649220909502056,"endHours":24.365891781089104,"quality":"auspicious"},{"name":"Roga","start":"00:22","end":"02:05","startHours":24.365891781089104,"endHours":26.082562652676152,"quality":"inauspicious"},{"name":"Udveg","start":"02:05","end":"03:48","startHours":26.082562652676152,"endHours":27.7992335242632,"quality":"inauspicious"},{"name":"Chala","start":"03:48","end":"05:31","startHours":27.7992335242632,"endHours":29.515904395850253,"quality":"neutral"},{"name":"Labha","start":"05:31","end":"07:14","startHours":29.515904395850253,"endHours":31.2325752674373,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.2325752674373005,"endHours":8.232575267437301,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.232575267437301,"endHours":9.232575267437301,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.232575267437301,"endHours":10.232575267437301,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.232575267437301,"endHours":11.232575267437301,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.232575267437301,"endHours":12.232575267437301,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.232575267437301,"endHours":13.232575267437301,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.232575267437301,"endHours":14.232575267437301,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.232575267437301,"endHours":15.232575267437301,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.232575267437301,"endHours":16.2325752674373,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.2325752674373,"endHours":17.2325752674373,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.2325752674373,"endHours":18.2325752674373,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.2325752674373,"endHours":19.2325752674373,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.2325752674373,"endHours":20.2325752674373,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.2325752674373,"endHours":21.2325752674373,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.2325752674373,"endHours":22.2325752674373,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.2325752674373,"endHours":23.2325752674373,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.2325752674373,"endHours":24.2325752674373,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.2325752674373,"endHours":25.2325752674373,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.2325752674373,"endHours":26.2325752674373,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.2325752674373,"endHours":27.2325752674373,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.2325752674373,"endHours":28.2325752674373,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.2325752674373,"endHours":29.2325752674373,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.2325752674373,"endHours":30.2325752674373,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.2325752674373,"endHours":31.2325752674373,"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Saumya","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":-22.768952024595965,"eotMinutes":-5.02390686534617,"ayanamsa":24.5236}},"calendars":{"vikram_samvat":2105,"vikram_samvatsara":"Vṛṣa","saka_samvat":1970,"saka_samvatsara":"Vibhava","bengali_samvat":1455,"malayalam_era":1224,"nanakshahi_year":579,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Tṛtīyā · Vikram 2105 Vṛṣa · Śaka 1970 Vibhava"},"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":[]},"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, 2048 CE · Ṛṣikeśa · Vidhyamitra","description":"January 4, 2048 CE for Ṛṣikeśa: Kṛṣṇa Tṛtīyā, sūryodaya 07:14, sūryāsta 17:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2048-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2048-01-04","sa":"https://sa.vidhyamitra.com/city/rishikesh/2048-01-04","hi":"https://hi.vidhyamitra.com/city/rishikesh/2048-01-04","x-default":"https://vidhyamitra.com/city/rishikesh/2048-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T02:37:31.409Z","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":"2026-05-17T02:37:31.409Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T02:37:31.409Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}