{"id":"vidhyamitra:city-day:rishikesh:2052-01-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2052-01-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2052-01-31","date_display":"January 31, 2052 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":2052,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470567.770833,"kali_year":5153,"ahargana":1882102.2708,"sun":{"sidereal_longitude":286.1487,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":276.0285,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":349.8798,"elapsed_within_tithi_degrees":1.8798},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":276.0285,"elapsed_within_degrees":9.3618},"yoga":{"number":16,"name":"Siddhi","sum_longitude":202.1772},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2052,"month":1,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470567.770833,"ahargana":1882102.2708,"kali_year":5153,"ayanamsa_lahiri":24.5805,"grahas":{"sun":{"sidereal_longitude":286.266801,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":277.287601,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":4.4461},"mars":{"sidereal_longitude":237.24200100000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":287.592401,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":160.56350099999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":true},"venus":{"sidereal_longitude":327.45490100000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":296.4222010000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":177.1644,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":357.1644,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":2052,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470567.770833,"kali_year":5153,"ahargana":1882102.2708,"sun":{"sidereal_longitude":286.1487,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":276.0285,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":349.8798,"elapsed_within_tithi_degrees":1.8798},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":276.0285,"elapsed_within_degrees":9.3618},"yoga":{"number":16,"name":"Siddhi","sum_longitude":202.1772},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.446,"elongation":10.12},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.446,"opposition_distance":169.88}},"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":"07:08","sunsetLocal":"17:52","solarNoonLocal":"12:30","dayLengthHours":10.732420866462256,"dayLengthDisplay":"10 Hours 43 Mins 57 Secs","nightLengthDisplay":"13 Hours 16 Mins 03 Secs","moonriseLocal":"06:40","moonsetLocal":"17:09","rahuKala":{"name":"Rāhu Kāla","start":"12:30","end":"13:51","startHours":12.507653142364035,"endHours":13.849205750671816,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:29","end":"09:49","startHours":8.482995317440688,"endHours":9.824547925748469,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:10","end":"12:30","startHours":11.166100534056252,"endHours":12.507653142364035,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.645674244640766,"endHours":10.003421606856174,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:52","startHours":7.588626911902167,"endHours":7.874824801674493,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:52","startHours":12.149905780148627,"endHours":12.865400504579442,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:26","startHours":5.710453260271271,"endHours":6.425947984702089,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:08","startHours":6.247074303594385,"endHours":7.141442709132906,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:01","startHours":14.296389953441077,"endHours":15.011884677871894,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:40","end":"18:04","startHours":17.673863575595163,"endHours":18.073863575595162,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:52","end":"18:19","startHours":17.873863575595163,"endHours":18.321047778364424,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:37","end":"19:22","startHours":17.623863575595163,"endHours":19.373863575595163,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:52","startHours":24.149905780148625,"endHours":24.865400504579444,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:08","end":"08:29","startHours":7.141442709132906,"endHours":8.482995317440688,"quality":"auspicious"},{"name":"Amṛta","start":"08:29","end":"09:49","startHours":8.482995317440688,"endHours":9.824547925748469,"quality":"auspicious"},{"name":"Kāla","start":"09:49","end":"11:10","startHours":9.824547925748469,"endHours":11.166100534056252,"quality":"inauspicious"},{"name":"Śubha","start":"11:10","end":"12:30","startHours":11.166100534056252,"endHours":12.507653142364035,"quality":"auspicious"},{"name":"Roga","start":"12:30","end":"13:51","startHours":12.507653142364035,"endHours":13.849205750671816,"quality":"inauspicious"},{"name":"Udveg","start":"13:51","end":"15:11","startHours":13.849205750671816,"endHours":15.190758358979597,"quality":"inauspicious"},{"name":"Chala","start":"15:11","end":"16:32","startHours":15.190758358979597,"endHours":16.53231096728738,"quality":"neutral"},{"name":"Labha","start":"16:32","end":"17:52","startHours":16.53231096728738,"endHours":17.873863575595163,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:52","end":"19:32","startHours":17.873863575595163,"endHours":19.53231096728738,"quality":"inauspicious"},{"name":"Chala","start":"19:32","end":"21:11","startHours":19.53231096728738,"endHours":21.1907583589796,"quality":"neutral"},{"name":"Labha","start":"21:11","end":"22:51","startHours":21.1907583589796,"endHours":22.849205750671818,"quality":"auspicious"},{"name":"Amṛta","start":"22:51","end":"00:30","startHours":22.849205750671818,"endHours":24.507653142364035,"quality":"auspicious"},{"name":"Kāla","start":"00:30","end":"02:10","startHours":24.507653142364035,"endHours":26.166100534056252,"quality":"inauspicious"},{"name":"Śubha","start":"02:10","end":"03:49","startHours":26.166100534056252,"endHours":27.82454792574847,"quality":"auspicious"},{"name":"Roga","start":"03:49","end":"05:29","startHours":27.82454792574847,"endHours":29.48299531744069,"quality":"inauspicious"},{"name":"Udveg","start":"05:29","end":"07:08","startHours":29.48299531744069,"endHours":31.141442709132907,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:08","end":"08:08","startHours":7.141442709132906,"endHours":8.141442709132907,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:08","end":"09:08","startHours":8.141442709132907,"endHours":9.141442709132907,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:08","end":"10:08","startHours":9.141442709132907,"endHours":10.141442709132907,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:08","end":"11:08","startHours":10.141442709132907,"endHours":11.141442709132907,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:08","end":"12:08","startHours":11.141442709132907,"endHours":12.141442709132907,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:08","end":"13:08","startHours":12.141442709132907,"endHours":13.141442709132907,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:08","end":"14:08","startHours":13.141442709132907,"endHours":14.141442709132907,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:08","end":"15:08","startHours":14.141442709132907,"endHours":15.141442709132907,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:08","end":"16:08","startHours":15.141442709132907,"endHours":16.141442709132907,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:08","end":"17:08","startHours":16.141442709132907,"endHours":17.141442709132907,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:08","end":"18:08","startHours":17.141442709132907,"endHours":18.141442709132907,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:08","end":"19:08","startHours":18.141442709132907,"endHours":19.141442709132907,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:08","end":"20:08","startHours":19.141442709132907,"endHours":20.141442709132907,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:08","end":"21:08","startHours":20.141442709132907,"endHours":21.141442709132907,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:08","end":"22:08","startHours":21.141442709132907,"endHours":22.141442709132907,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:08","end":"23:08","startHours":22.141442709132907,"endHours":23.141442709132907,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:08","end":"00:08","startHours":23.141442709132907,"endHours":24.141442709132907,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:08","end":"01:08","startHours":24.141442709132907,"endHours":25.141442709132907,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:08","end":"02:08","startHours":25.141442709132907,"endHours":26.141442709132907,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:08","end":"03:08","startHours":26.141442709132907,"endHours":27.141442709132907,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:08","end":"04:08","startHours":27.141442709132907,"endHours":28.141442709132907,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:08","end":"05:08","startHours":28.141442709132907,"endHours":29.141442709132907,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:08","end":"06:08","startHours":29.141442709132907,"endHours":30.141442709132907,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:08","end":"07:08","startHours":30.141442709132907,"endHours":31.141442709132907,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"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":-17.509675724728577,"eotMinutes":-13.52958854184206,"ayanamsa":24.5805}},"calendars":{"vikram_samvat":2109,"vikram_samvatsara":"Pārthiva","saka_samvat":1974,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1459,"malayalam_era":1228,"nanakshahi_year":583,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Amāvasyā · Vikram 2109 Pārthiva · Śaka 1974 Aṅgirasa"},"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","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, 2052 CE · Ṛṣikeśa · Vidhyamitra","description":"January 31, 2052 CE for Ṛṣikeśa: Kṛṣṇa Amāvasyā, sūryodaya 07:08, sūryāsta 17:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2052-01-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2052-01-31","sa":"https://sa.vidhyamitra.com/city/rishikesh/2052-01-31","hi":"https://hi.vidhyamitra.com/city/rishikesh/2052-01-31","x-default":"https://vidhyamitra.com/city/rishikesh/2052-01-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T11:05:28.099Z","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":"2026-05-17T11:05:28.099Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T11:05:28.099Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}