{"id":"vidhyamitra:city-day:rishikesh:2041-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2041-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2041-01-20","date_display":"January 20, 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":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466539.770833,"kali_year":5142,"ahargana":1878074.2708,"sun":{"sidereal_longitude":275.7486,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":128.5815,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":212.8329,"elapsed_within_tithi_degrees":8.8329},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.5815,"elapsed_within_degrees":8.5815},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":44.3301},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466539.770833,"ahargana":1878074.2708,"kali_year":5142,"ayanamsa_lahiri":24.4265,"grahas":{"sun":{"sidereal_longitude":275.91700000000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":125.70330000000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false,"latitude":4.4562},"mars":{"sidereal_longitude":266.6726,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":294.0906,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":185.8741,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":321.6821,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":179.1001,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":30.5872,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":210.5872,"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":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466539.770833,"kali_year":5142,"ahargana":1878074.2708,"sun":{"sidereal_longitude":275.7486,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":128.5815,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":212.8329,"elapsed_within_tithi_degrees":8.8329},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.5815,"elapsed_within_degrees":8.5815},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":44.3301},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.456,"elongation":147.167},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.456,"opposition_distance":32.833}},"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":"17:43","solarNoonLocal":"12:28","dayLengthHours":10.509704605349103,"dayLengthDisplay":"10 Hours 30 Mins 35 Secs","nightLengthDisplay":"13 Hours 29 Mins 25 Secs","moonriseLocal":"19:57","moonsetLocal":"08:57","rahuKala":{"name":"Rāhu Kāla","start":"16:24","end":"17:43","startHours":16.406037615959736,"endHours":17.719750691628374,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:28","end":"13:47","startHours":12.464898388953824,"endHours":13.778611464622461,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:06","end":"16:24","startHours":15.092324540291099,"endHours":16.406037615959736,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.662310494194061,"endHours":10.012633981039032,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:56","startHours":7.647950444835484,"endHours":7.92820923431146,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.114574902108851,"endHours":12.815221875798793,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:49","end":"06:31","startHours":5.808752138899391,"endHours":6.509399112589331,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:20","end":"07:13","startHours":6.334237369166845,"endHours":7.210046086279271,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:55","startHours":14.216515823178673,"endHours":14.917162796868613,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:31","end":"17:55","startHours":17.519750691628374,"endHours":17.919750691628373,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:43","end":"18:09","startHours":17.719750691628374,"endHours":18.157655050184587,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:28","end":"19:13","startHours":17.469750691628374,"endHours":19.219750691628374,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.11457490210885,"endHours":24.81522187579879,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:13","end":"08:31","startHours":7.210046086279271,"endHours":8.52375916194791,"quality":"inauspicious"},{"name":"Chala","start":"08:31","end":"09:50","startHours":8.52375916194791,"endHours":9.837472237616547,"quality":"neutral"},{"name":"Labha","start":"09:50","end":"11:09","startHours":9.837472237616547,"endHours":11.151185313285184,"quality":"auspicious"},{"name":"Amṛta","start":"11:09","end":"12:28","startHours":11.151185313285184,"endHours":12.464898388953824,"quality":"auspicious"},{"name":"Kāla","start":"12:28","end":"13:47","startHours":12.464898388953824,"endHours":13.778611464622461,"quality":"inauspicious"},{"name":"Śubha","start":"13:47","end":"15:06","startHours":13.778611464622461,"endHours":15.092324540291099,"quality":"auspicious"},{"name":"Roga","start":"15:06","end":"16:24","startHours":15.092324540291099,"endHours":16.406037615959736,"quality":"inauspicious"},{"name":"Udveg","start":"16:24","end":"17:43","startHours":16.406037615959736,"endHours":17.719750691628374,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:43","end":"19:24","startHours":17.719750691628374,"endHours":19.406037615959736,"quality":"auspicious"},{"name":"Roga","start":"19:24","end":"21:06","startHours":19.406037615959736,"endHours":21.0923245402911,"quality":"inauspicious"},{"name":"Udveg","start":"21:06","end":"22:47","startHours":21.0923245402911,"endHours":22.778611464622458,"quality":"inauspicious"},{"name":"Chala","start":"22:47","end":"00:28","startHours":22.778611464622458,"endHours":24.46489838895382,"quality":"neutral"},{"name":"Labha","start":"00:28","end":"02:09","startHours":24.46489838895382,"endHours":26.151185313285183,"quality":"auspicious"},{"name":"Amṛta","start":"02:09","end":"03:50","startHours":26.151185313285183,"endHours":27.837472237616545,"quality":"auspicious"},{"name":"Kāla","start":"03:50","end":"05:31","startHours":27.837472237616545,"endHours":29.523759161947908,"quality":"inauspicious"},{"name":"Śubha","start":"05:31","end":"07:13","startHours":29.523759161947908,"endHours":31.21004608627927,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.210046086279271,"endHours":8.21004608627927,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.21004608627927,"endHours":9.21004608627927,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.21004608627927,"endHours":10.21004608627927,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.21004608627927,"endHours":11.21004608627927,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.21004608627927,"endHours":12.21004608627927,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.21004608627927,"endHours":13.21004608627927,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.21004608627927,"endHours":14.21004608627927,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.21004608627927,"endHours":15.21004608627927,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.21004608627927,"endHours":16.21004608627927,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.21004608627927,"endHours":17.21004608627927,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.21004608627927,"endHours":18.21004608627927,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.21004608627927,"endHours":19.21004608627927,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.21004608627927,"endHours":20.21004608627927,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.21004608627927,"endHours":21.21004608627927,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.21004608627927,"endHours":22.21004608627927,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.21004608627927,"endHours":23.21004608627927,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.21004608627927,"endHours":24.21004608627927,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.21004608627927,"endHours":25.21004608627927,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.21004608627927,"endHours":26.21004608627927,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.21004608627927,"endHours":27.21004608627927,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.21004608627927,"endHours":28.21004608627927,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.21004608627927,"endHours":29.21004608627927,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.21004608627927,"endHours":30.21004608627927,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.21004608627927,"endHours":31.21004608627927,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-20.074883094349108,"eotMinutes":-10.9643033372293,"ayanamsa":24.4265}},"calendars":{"vikram_samvat":2098,"vikram_samvatsara":"Bhāva","saka_samvat":1963,"saka_samvatsara":"Durmati","bengali_samvat":1448,"malayalam_era":1217,"nanakshahi_year":572,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Tṛtīyā · Vikram 2098 Bhāva · Śaka 1963 Durmati"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 20, 2041 CE · Ṛṣikeśa · Vidhyamitra","description":"January 20, 2041 CE for Ṛṣikeśa: Kṛṣṇa Tṛtīyā, sūryodaya 07:13, sūryāsta 17:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2041-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2041-01-20","sa":"https://sa.vidhyamitra.com/city/rishikesh/2041-01-20","hi":"https://hi.vidhyamitra.com/city/rishikesh/2041-01-20","x-default":"https://vidhyamitra.com/city/rishikesh/2041-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T08:11:53.002Z","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":"2026-05-17T08:11:53.002Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T08:11:53.002Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}