{"id":"vidhyamitra:city-day:rishikesh:2041-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2041-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2041-01-04","date_display":"January 4, 2041 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":2041,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466523.770833,"kali_year":5142,"ahargana":1878058.2708,"sun":{"sidereal_longitude":259.3128,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":274.8817,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":15.5688,"elapsed_within_tithi_degrees":3.5688},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":274.8817,"elapsed_within_degrees":8.215},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":174.1945},"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":2041,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466523.770833,"ahargana":1878058.2708,"kali_year":5142,"ayanamsa_lahiri":24.4259,"grahas":{"sun":{"sidereal_longitude":259.617611,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":277.30901100000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":-4.0245},"mars":{"sidereal_longitude":254.42731100000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":271.10701100000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":184.27941099999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":306.218111,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":178.52451099999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":31.435,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":211.435,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","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":2041,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466523.770833,"kali_year":5142,"ahargana":1878058.2708,"sun":{"sidereal_longitude":259.3128,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":274.8817,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":15.5688,"elapsed_within_tithi_degrees":3.5688},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":274.8817,"elapsed_within_degrees":8.215},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":174.1945},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.025,"elongation":15.569},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.025,"opposition_distance":164.431}},"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":10.273336408116434,"dayLengthDisplay":"10 Hours 16 Mins 24 Secs","nightLengthDisplay":"13 Hours 43 Mins 36 Secs","moonriseLocal":"08:18","moonsetLocal":"18:48","rahuKala":{"name":"Rāhu Kāla","start":"11:05","end":"12:22","startHours":11.081724730074551,"endHours":12.365891781089104,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:56","end":"16:13","startHours":14.934225883118213,"endHours":16.218392934132766,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:31","end":"09:48","startHours":8.513390628045443,"endHours":9.797557679059997,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:58","startHours":9.626335405591389,"endHours":9.968779952528603,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:56","startHours":7.657279260702406,"endHours":7.931234898252177,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:43","startHours":12.02344723415189,"endHours":12.708336328026318,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:52","end":"06:33","startHours":5.859445389282031,"endHours":6.544334483156459,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.373112209687852,"endHours":7.229223577030888,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:46","startHours":14.078114515775177,"endHours":14.763003609649605,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:18","end":"17:42","startHours":17.302559985147322,"endHours":17.70255998514732,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:30","end":"17:56","startHours":17.50255998514732,"endHours":17.930615668818838,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:15","end":"19:00","startHours":17.25255998514732,"endHours":19.00255998514732,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:43","startHours":24.023447234151888,"endHours":24.70833632802632,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:14","end":"08:31","startHours":7.229223577030888,"endHours":8.513390628045443,"quality":"neutral"},{"name":"Labha","start":"08:31","end":"09:48","startHours":8.513390628045443,"endHours":9.797557679059997,"quality":"auspicious"},{"name":"Amṛta","start":"09:48","end":"11:05","startHours":9.797557679059997,"endHours":11.081724730074551,"quality":"auspicious"},{"name":"Kāla","start":"11:05","end":"12:22","startHours":11.081724730074551,"endHours":12.365891781089104,"quality":"inauspicious"},{"name":"Śubha","start":"12:22","end":"13:39","startHours":12.365891781089104,"endHours":13.65005883210366,"quality":"auspicious"},{"name":"Roga","start":"13:39","end":"14:56","startHours":13.65005883210366,"endHours":14.934225883118213,"quality":"inauspicious"},{"name":"Udveg","start":"14:56","end":"16:13","startHours":14.934225883118213,"endHours":16.218392934132766,"quality":"inauspicious"},{"name":"Chala","start":"16:13","end":"17:30","startHours":16.218392934132766,"endHours":17.50255998514732,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:30","end":"19:13","startHours":17.50255998514732,"endHours":19.21839293413277,"quality":"inauspicious"},{"name":"Udveg","start":"19:13","end":"20:56","startHours":19.21839293413277,"endHours":20.934225883118213,"quality":"inauspicious"},{"name":"Chala","start":"20:56","end":"22:39","startHours":20.934225883118213,"endHours":22.65005883210366,"quality":"neutral"},{"name":"Labha","start":"22:39","end":"00:22","startHours":22.65005883210366,"endHours":24.365891781089104,"quality":"auspicious"},{"name":"Amṛta","start":"00:22","end":"02:05","startHours":24.365891781089104,"endHours":26.08172473007455,"quality":"auspicious"},{"name":"Kāla","start":"02:05","end":"03:48","startHours":26.08172473007455,"endHours":27.79755767906,"quality":"inauspicious"},{"name":"Śubha","start":"03:48","end":"05:31","startHours":27.79755767906,"endHours":29.513390628045443,"quality":"auspicious"},{"name":"Roga","start":"05:31","end":"07:14","startHours":29.513390628045443,"endHours":31.229223577030886,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.229223577030888,"endHours":8.229223577030888,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.229223577030888,"endHours":9.229223577030888,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.229223577030888,"endHours":10.229223577030888,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.229223577030888,"endHours":11.229223577030888,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.229223577030888,"endHours":12.229223577030888,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.229223577030888,"endHours":13.229223577030888,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.229223577030888,"endHours":14.229223577030888,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.229223577030888,"endHours":15.229223577030888,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.229223577030888,"endHours":16.229223577030886,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.229223577030886,"endHours":17.229223577030886,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.229223577030886,"endHours":18.229223577030886,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.229223577030886,"endHours":19.229223577030886,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.229223577030886,"endHours":20.229223577030886,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.229223577030886,"endHours":21.229223577030886,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.229223577030886,"endHours":22.229223577030886,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.229223577030886,"endHours":23.229223577030886,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.229223577030886,"endHours":24.229223577030886,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.229223577030886,"endHours":25.229223577030886,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.229223577030886,"endHours":26.229223577030886,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.229223577030886,"endHours":27.229223577030886,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.229223577030886,"endHours":28.229223577030886,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.229223577030886,"endHours":29.229223577030886,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.229223577030886,"endHours":30.229223577030886,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.229223577030886,"endHours":31.229223577030886,"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":-22.696204283377767,"eotMinutes":-5.02390686534617,"ayanamsa":24.4259}},"calendars":{"vikram_samvat":2098,"vikram_samvatsara":"Bhāva","saka_samvat":1963,"saka_samvatsara":"Durmati","bengali_samvat":1448,"malayalam_era":1217,"nanakshahi_year":572,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Dvitīyā · Vikram 2098 Bhāva · Śaka 1963 Durmati"},"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 4, 2041 CE · Ṛṣikeśa · Vidhyamitra","description":"January 4, 2041 CE for Ṛṣikeśa: Śukla Dvitīyā, sūryodaya 07:14, sūryāsta 17:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2041-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2041-01-04","sa":"https://sa.vidhyamitra.com/city/rishikesh/2041-01-04","hi":"https://hi.vidhyamitra.com/city/rishikesh/2041-01-04","x-default":"https://vidhyamitra.com/city/rishikesh/2041-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T05:42:29.805Z","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":"2026-05-16T05:42:29.805Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T05:42:29.805Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}