{"id":"vidhyamitra:city-day:rishikesh:2113-01-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2113-01-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2113-01-31","date_display":"January 31, 2113 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":2113,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492847.770833,"kali_year":5214,"ahargana":1904382.2708,"sun":{"sidereal_longitude":285.3468,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":97.0901,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":171.7433,"elapsed_within_tithi_degrees":3.7433},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":97.0901,"elapsed_within_degrees":3.7567},"yoga":{"number":2,"name":"Prīti","sum_longitude":22.4369},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"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":2113,"month":1,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2492847.770833,"ahargana":1904382.2708,"kali_year":5214,"ayanamsa_lahiri":25.4327,"grahas":{"sun":{"sidereal_longitude":285.612341,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":95.954341,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false,"latitude":1.5692},"mars":{"sidereal_longitude":347.163841,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":301.2468409999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":208.32234100000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":317.5248409999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":318.32724099999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":76.6628,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":256.6628,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"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":2113,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492847.770833,"kali_year":5214,"ahargana":1904382.2708,"sun":{"sidereal_longitude":285.3468,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":97.0901,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":171.7433,"elapsed_within_tithi_degrees":3.7433},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":97.0901,"elapsed_within_degrees":3.7567},"yoga":{"number":2,"name":"Prīti","sum_longitude":22.4369},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.569,"elongation":171.743},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.569,"opposition_distance":8.257}},"eclipse_window_40days":[{"offset_days":-13,"type":"solar","occurs":true,"moon_latitude":-1.304,"elongation":2.19}]},"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":"07:08","sunsetLocal":"17:53","solarNoonLocal":"12:30","dayLengthHours":10.737032529404736,"dayLengthDisplay":"10 Hours 44 Mins 13 Secs","nightLengthDisplay":"13 Hours 15 Mins 47 Secs","moonriseLocal":"17:01","moonsetLocal":"06:43","rahuKala":{"name":"Rāhu Kāla","start":"15:12","end":"16:32","startHours":15.19191127471522,"endHours":16.53404034089081,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:49","end":"11:10","startHours":9.823395010012852,"endHours":11.165524076188444,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:30","end":"13:51","startHours":12.507653142364035,"endHours":13.849782208539628,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.644444467856106,"endHours":10.002345552169597,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:52","startHours":7.586513233053531,"endHours":7.872834100504324,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:52","startHours":12.149752058050543,"endHours":12.865554226677526,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:25","startHours":5.707532540407703,"endHours":6.423334709034685,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:08","startHours":6.244384166877939,"endHours":7.1391368776616675,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:01","startHours":14.297158563931493,"endHours":15.012960732558476,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:41","end":"18:05","startHours":17.676169407066403,"endHours":18.076169407066402,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:53","end":"18:19","startHours":17.876169407066403,"endHours":18.323545762458266,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:38","end":"19:23","startHours":17.626169407066403,"endHours":19.376169407066403,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:52","startHours":24.149752058050545,"endHours":24.865554226677524,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:08","end":"08:29","startHours":7.1391368776616675,"endHours":8.48126594383726,"quality":"inauspicious"},{"name":"Udveg","start":"08:29","end":"09:49","startHours":8.48126594383726,"endHours":9.823395010012852,"quality":"inauspicious"},{"name":"Chala","start":"09:49","end":"11:10","startHours":9.823395010012852,"endHours":11.165524076188444,"quality":"neutral"},{"name":"Labha","start":"11:10","end":"12:30","startHours":11.165524076188444,"endHours":12.507653142364035,"quality":"auspicious"},{"name":"Amṛta","start":"12:30","end":"13:51","startHours":12.507653142364035,"endHours":13.849782208539628,"quality":"auspicious"},{"name":"Kāla","start":"13:51","end":"15:12","startHours":13.849782208539628,"endHours":15.19191127471522,"quality":"inauspicious"},{"name":"Śubha","start":"15:12","end":"16:32","startHours":15.19191127471522,"endHours":16.53404034089081,"quality":"auspicious"},{"name":"Roga","start":"16:32","end":"17:53","startHours":16.53404034089081,"endHours":17.876169407066403,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:53","end":"19:32","startHours":17.876169407066403,"endHours":19.53404034089081,"quality":"inauspicious"},{"name":"Śubha","start":"19:32","end":"21:12","startHours":19.53404034089081,"endHours":21.191911274715217,"quality":"auspicious"},{"name":"Roga","start":"21:12","end":"22:51","startHours":21.191911274715217,"endHours":22.849782208539626,"quality":"inauspicious"},{"name":"Udveg","start":"22:51","end":"00:30","startHours":22.849782208539626,"endHours":24.507653142364035,"quality":"inauspicious"},{"name":"Chala","start":"00:30","end":"02:10","startHours":24.507653142364035,"endHours":26.165524076188444,"quality":"neutral"},{"name":"Labha","start":"02:10","end":"03:49","startHours":26.165524076188444,"endHours":27.823395010012852,"quality":"auspicious"},{"name":"Amṛta","start":"03:49","end":"05:29","startHours":27.823395010012852,"endHours":29.481265943837258,"quality":"auspicious"},{"name":"Kāla","start":"05:29","end":"07:08","startHours":29.481265943837258,"endHours":31.139136877661667,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:08","end":"08:08","startHours":7.1391368776616675,"endHours":8.139136877661667,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:08","end":"09:08","startHours":8.139136877661667,"endHours":9.139136877661667,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:08","end":"10:08","startHours":9.139136877661667,"endHours":10.139136877661667,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:08","end":"11:08","startHours":10.139136877661667,"endHours":11.139136877661667,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:08","end":"12:08","startHours":11.139136877661667,"endHours":12.139136877661667,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:08","end":"13:08","startHours":12.139136877661667,"endHours":13.139136877661667,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:08","end":"14:08","startHours":13.139136877661667,"endHours":14.139136877661667,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:08","end":"15:08","startHours":14.139136877661667,"endHours":15.139136877661667,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:08","end":"16:08","startHours":15.139136877661667,"endHours":16.139136877661667,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:08","end":"17:08","startHours":16.139136877661667,"endHours":17.139136877661667,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:08","end":"18:08","startHours":17.139136877661667,"endHours":18.139136877661667,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:08","end":"19:08","startHours":18.139136877661667,"endHours":19.139136877661667,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:08","end":"20:08","startHours":19.139136877661667,"endHours":20.139136877661667,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:08","end":"21:08","startHours":20.139136877661667,"endHours":21.139136877661667,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:08","end":"22:08","startHours":21.139136877661667,"endHours":22.139136877661667,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:08","end":"23:08","startHours":22.139136877661667,"endHours":23.139136877661667,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:08","end":"00:08","startHours":23.139136877661667,"endHours":24.139136877661667,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:08","end":"01:08","startHours":24.139136877661667,"endHours":25.139136877661667,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:08","end":"02:08","startHours":25.139136877661667,"endHours":26.139136877661667,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:08","end":"03:08","startHours":26.139136877661667,"endHours":27.139136877661667,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:08","end":"04:08","startHours":27.139136877661667,"endHours":28.139136877661667,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:08","end":"05:08","startHours":28.139136877661667,"endHours":29.139136877661667,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:08","end":"06:08","startHours":29.139136877661667,"endHours":30.139136877661667,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:08","end":"07:08","startHours":30.139136877661667,"endHours":31.139136877661667,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Utpāta","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":-17.455637939474144,"eotMinutes":-13.52958854184206,"ayanamsa":25.4327}},"calendars":{"vikram_samvat":2170,"vikram_samvatsara":"Vyaya","saka_samvat":2035,"saka_samvatsara":"Śrīmukha","bengali_samvat":1520,"malayalam_era":1289,"nanakshahi_year":644,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Pūrṇimā · Vikram 2170 Vyaya · Śaka 2035 Śrīmukha"},"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":"magha-purnima","name":"Māghī Pūrṇimā","name_sanskrit":"माघी पूर्णिमा","tradition":"Pan-Hindu","significance":"Sacred snāna at Prayāga; Māgha-snāna culmination.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":2},{"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":"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 Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","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 31, 2113 CE · Ṛṣikeśa · Vidhyamitra","description":"January 31, 2113 CE for Ṛṣikeśa: Śukla Pūrṇimā, sūryodaya 07:08, sūryāsta 17:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2113-01-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2113-01-31","sa":"https://sa.vidhyamitra.com/city/rishikesh/2113-01-31","hi":"https://hi.vidhyamitra.com/city/rishikesh/2113-01-31","x-default":"https://vidhyamitra.com/city/rishikesh/2113-01-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T10:32:40.765Z","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":"2026-05-21T10:32:40.765Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T10:32:40.765Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}