{"id":"vidhyamitra:city-day:rishikesh:2020-01-22:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2020-01-22","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2020-01-22","date_display":"January 22, 2020 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":2020,"month":1,"day":22,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458870.770833,"kali_year":5121,"ahargana":1870405.2708,"sun":{"sidereal_longitude":277.2192,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":243.7107,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":326.4915,"elapsed_within_tithi_degrees":2.4915},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":243.7107,"elapsed_within_degrees":3.7107},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":160.9299},"karana":{"half_tithi_index":54,"name":"Gara"},"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":2020,"month":1,"day":22,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458870.770833,"ahargana":1870405.2708,"kali_year":5121,"ayanamsa_lahiri":24.1332,"grahas":{"sun":{"sidereal_longitude":277.32711199999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":243.70831199999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false,"latitude":1.0279},"mars":{"sidereal_longitude":228.21921199999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":284.590012,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":257.35521199999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":315.57801199999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":269.70131200000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":76.9277,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":256.9277,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"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":2020,"month":1,"day":22,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458870.770833,"kali_year":5121,"ahargana":1870405.2708,"sun":{"sidereal_longitude":277.2192,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":243.7107,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":326.4915,"elapsed_within_tithi_degrees":2.4915},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":243.7107,"elapsed_within_degrees":3.7107},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":160.9299},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.028,"elongation":33.508},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.028,"opposition_distance":146.492}},"eclipse_window_40days":[{"offset_days":-11,"type":"lunar","occurs":true,"moon_latitude":0.783,"opposition_distance":1.611}]},"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":"17:44","solarNoonLocal":"12:28","dayLengthHours":10.531113735162343,"dayLengthDisplay":"10 Hours 31 Mins 52 Secs","nightLengthDisplay":"13 Hours 28 Mins 08 Secs","moonriseLocal":"05:09","moonsetLocal":"15:19","rahuKala":{"name":"Rāhu Kāla","start":"12:28","end":"13:47","startHours":12.474428388472322,"endHours":13.790817605367614,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:32","end":"09:50","startHours":8.525260737786443,"endHours":9.841649954681737,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:09","end":"12:28","startHours":11.15803917157703,"endHours":12.474428388472322,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.66613139242903,"endHours":10.017168516934442,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:56","startHours":7.6476679265229155,"endHours":7.928497626127244,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:50","startHours":12.12339126396691,"endHours":12.825465512977734,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:48","end":"06:30","startHours":5.8047230228695055,"endHours":6.506797271880328,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:20","end":"07:13","startHours":6.331278709627623,"endHours":7.208871520891151,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"14:56","startHours":14.229614010999379,"endHours":14.931688260010201,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:32","end":"17:56","startHours":17.539985256053495,"endHours":17.939985256053493,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:44","end":"18:11","startHours":17.739985256053494,"endHours":18.178781661685257,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:29","end":"19:14","startHours":17.489985256053494,"endHours":19.239985256053494,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:50","startHours":24.123391263966912,"endHours":24.825465512977733,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:13","end":"08:32","startHours":7.208871520891151,"endHours":8.525260737786443,"quality":"auspicious"},{"name":"Amṛta","start":"08:32","end":"09:50","startHours":8.525260737786443,"endHours":9.841649954681737,"quality":"auspicious"},{"name":"Kāla","start":"09:50","end":"11:09","startHours":9.841649954681737,"endHours":11.15803917157703,"quality":"inauspicious"},{"name":"Śubha","start":"11:09","end":"12:28","startHours":11.15803917157703,"endHours":12.474428388472322,"quality":"auspicious"},{"name":"Roga","start":"12:28","end":"13:47","startHours":12.474428388472322,"endHours":13.790817605367614,"quality":"inauspicious"},{"name":"Udveg","start":"13:47","end":"15:06","startHours":13.790817605367614,"endHours":15.107206822262908,"quality":"inauspicious"},{"name":"Chala","start":"15:06","end":"16:25","startHours":15.107206822262908,"endHours":16.423596039158202,"quality":"neutral"},{"name":"Labha","start":"16:25","end":"17:44","startHours":16.423596039158202,"endHours":17.739985256053494,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:44","end":"19:25","startHours":17.739985256053494,"endHours":19.423596039158202,"quality":"inauspicious"},{"name":"Chala","start":"19:25","end":"21:06","startHours":19.423596039158202,"endHours":21.10720682226291,"quality":"neutral"},{"name":"Labha","start":"21:06","end":"22:47","startHours":21.10720682226291,"endHours":22.790817605367614,"quality":"auspicious"},{"name":"Amṛta","start":"22:47","end":"00:28","startHours":22.790817605367614,"endHours":24.474428388472322,"quality":"auspicious"},{"name":"Kāla","start":"00:28","end":"02:09","startHours":24.474428388472322,"endHours":26.15803917157703,"quality":"inauspicious"},{"name":"Śubha","start":"02:09","end":"03:50","startHours":26.15803917157703,"endHours":27.841649954681735,"quality":"auspicious"},{"name":"Roga","start":"03:50","end":"05:32","startHours":27.841649954681735,"endHours":29.525260737786443,"quality":"inauspicious"},{"name":"Udveg","start":"05:32","end":"07:13","startHours":29.525260737786443,"endHours":31.20887152089115,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.208871520891151,"endHours":8.208871520891151,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.208871520891151,"endHours":9.208871520891151,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.208871520891151,"endHours":10.208871520891151,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.208871520891151,"endHours":11.208871520891151,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.208871520891151,"endHours":12.208871520891151,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.208871520891151,"endHours":13.208871520891151,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.208871520891151,"endHours":14.208871520891151,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.208871520891151,"endHours":15.208871520891151,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.208871520891151,"endHours":16.20887152089115,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.20887152089115,"endHours":17.20887152089115,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.20887152089115,"endHours":18.20887152089115,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.20887152089115,"endHours":19.20887152089115,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.20887152089115,"endHours":20.20887152089115,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.20887152089115,"endHours":21.20887152089115,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.20887152089115,"endHours":22.20887152089115,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.20887152089115,"endHours":23.20887152089115,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.20887152089115,"endHours":24.20887152089115,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.20887152089115,"endHours":25.20887152089115,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.20887152089115,"endHours":26.20887152089115,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.20887152089115,"endHours":27.20887152089115,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.20887152089115,"endHours":28.20887152089115,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.20887152089115,"endHours":29.20887152089115,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.20887152089115,"endHours":30.20887152089115,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.20887152089115,"endHours":31.20887152089115,"planetary_lord":"Sun"}],"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","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhūmra","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":-19.83219403504628,"eotMinutes":-11.536103308339323,"ayanamsa":24.1332}},"calendars":{"vikram_samvat":2077,"vikram_samvatsara":"Pramādī","saka_samvat":1942,"saka_samvatsara":"Śārvarī","bengali_samvat":1427,"malayalam_era":1196,"nanakshahi_year":551,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Trayodaśī · Vikram 2077 Pramādī · Śaka 1942 Śārvarī"},"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},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":[]},"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 22, 2020 CE · Ṛṣikeśa · Vidhyamitra","description":"January 22, 2020 CE for Ṛṣikeśa: Kṛṣṇa Trayodaśī, sūryodaya 07:13, sūryāsta 17:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2020-01-22","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2020-01-22","sa":"https://sa.vidhyamitra.com/city/rishikesh/2020-01-22","hi":"https://hi.vidhyamitra.com/city/rishikesh/2020-01-22","x-default":"https://vidhyamitra.com/city/rishikesh/2020-01-22"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T06:34:46.107Z","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":"2026-05-15T06:34:46.107Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T06:34:46.107Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}