{"id":"vidhyamitra:city-day:rishikesh:2020-01-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2020-01-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2020-01-31","date_display":"January 31, 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":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458879.770833,"kali_year":5121,"ahargana":1870414.2708,"sun":{"sidereal_longitude":286.4352,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":357.3238,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":70.8886,"elapsed_within_tithi_degrees":10.8886},"nakshatra":{"number":27,"name":"Revatī","pada":4,"moon_longitude":357.3238,"elapsed_within_degrees":10.6572},"yoga":{"number":22,"name":"Sādhya","sum_longitude":283.7591},"karana":{"half_tithi_index":11,"name":"Taitila"},"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":2020,"month":1,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458879.770833,"ahargana":1870414.2708,"kali_year":5121,"ayanamsa_lahiri":24.1335,"grahas":{"sun":{"sidereal_longitude":286.47696799999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":354.145568,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false,"latitude":-4.4191},"mars":{"sidereal_longitude":234.35326799999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":299.98386800000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":259.34526800000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":326.362068,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":270.754368,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":76.4509,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":256.4509,"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":2020,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458879.770833,"kali_year":5121,"ahargana":1870414.2708,"sun":{"sidereal_longitude":286.4352,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":357.3238,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":70.8886,"elapsed_within_tithi_degrees":10.8886},"nakshatra":{"number":27,"name":"Revatī","pada":4,"moon_longitude":357.3238,"elapsed_within_degrees":10.6572},"yoga":{"number":22,"name":"Sādhya","sum_longitude":283.7591},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.419,"elongation":70.889},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.419,"opposition_distance":109.111}},"eclipse_window_40days":[{"offset_days":-20,"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":"07:09","sunsetLocal":"17:52","solarNoonLocal":"12:30","dayLengthHours":10.726915827772599,"dayLengthDisplay":"10 Hours 43 Mins 37 Secs","nightLengthDisplay":"13 Hours 16 Mins 23 Secs","moonriseLocal":"10:42","moonsetLocal":"23:21","rahuKala":{"name":"Rāhu Kāla","start":"11:10","end":"12:30","startHours":11.166788663892461,"endHours":12.507653142364035,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:11","end":"16:32","startHours":15.189382099307185,"endHours":16.53024657777876,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:29","end":"09:50","startHours":8.485059706949311,"endHours":9.825924185420886,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.647142254958009,"endHours":10.004706115883764,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:53","startHours":7.5911500546349275,"endHours":7.8772011433755305,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:52","startHours":12.150089281438282,"endHours":12.865217003289787,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:26","startHours":5.713939784774723,"endHours":6.42906750662623,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:09","startHours":6.250285576163353,"endHours":7.144195228477736,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:01","startHours":14.295472446992802,"endHours":15.01060016884431,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:40","end":"18:04","startHours":17.671111056250336,"endHours":18.071111056250334,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:52","end":"18:19","startHours":17.871111056250335,"endHours":18.318065882407527,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:37","end":"19:22","startHours":17.621111056250335,"endHours":19.371111056250335,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:52","startHours":24.15008928143828,"endHours":24.86521700328979,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:09","end":"08:29","startHours":7.144195228477736,"endHours":8.485059706949311,"quality":"neutral"},{"name":"Labha","start":"08:29","end":"09:50","startHours":8.485059706949311,"endHours":9.825924185420886,"quality":"auspicious"},{"name":"Amṛta","start":"09:50","end":"11:10","startHours":9.825924185420886,"endHours":11.166788663892461,"quality":"auspicious"},{"name":"Kāla","start":"11:10","end":"12:30","startHours":11.166788663892461,"endHours":12.507653142364035,"quality":"inauspicious"},{"name":"Śubha","start":"12:30","end":"13:51","startHours":12.507653142364035,"endHours":13.848517620835612,"quality":"auspicious"},{"name":"Roga","start":"13:51","end":"15:11","startHours":13.848517620835612,"endHours":15.189382099307185,"quality":"inauspicious"},{"name":"Udveg","start":"15:11","end":"16:32","startHours":15.189382099307185,"endHours":16.53024657777876,"quality":"inauspicious"},{"name":"Chala","start":"16:32","end":"17:52","startHours":16.53024657777876,"endHours":17.871111056250335,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:52","end":"19:32","startHours":17.871111056250335,"endHours":19.53024657777876,"quality":"inauspicious"},{"name":"Udveg","start":"19:32","end":"21:11","startHours":19.53024657777876,"endHours":21.189382099307185,"quality":"inauspicious"},{"name":"Chala","start":"21:11","end":"22:51","startHours":21.189382099307185,"endHours":22.84851762083561,"quality":"neutral"},{"name":"Labha","start":"22:51","end":"00:30","startHours":22.84851762083561,"endHours":24.507653142364035,"quality":"auspicious"},{"name":"Amṛta","start":"00:30","end":"02:10","startHours":24.507653142364035,"endHours":26.16678866389246,"quality":"auspicious"},{"name":"Kāla","start":"02:10","end":"03:50","startHours":26.16678866389246,"endHours":27.825924185420888,"quality":"inauspicious"},{"name":"Śubha","start":"03:50","end":"05:29","startHours":27.825924185420888,"endHours":29.48505970694931,"quality":"auspicious"},{"name":"Roga","start":"05:29","end":"07:09","startHours":29.48505970694931,"endHours":31.144195228477734,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.144195228477736,"endHours":8.144195228477736,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.144195228477736,"endHours":9.144195228477736,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.144195228477736,"endHours":10.144195228477736,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.144195228477736,"endHours":11.144195228477736,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.144195228477736,"endHours":12.144195228477736,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.144195228477736,"endHours":13.144195228477736,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.144195228477736,"endHours":14.144195228477736,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.144195228477736,"endHours":15.144195228477736,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.144195228477736,"endHours":16.144195228477734,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.144195228477734,"endHours":17.144195228477734,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.144195228477734,"endHours":18.144195228477734,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.144195228477734,"endHours":19.144195228477734,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.144195228477734,"endHours":20.144195228477734,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.144195228477734,"endHours":21.144195228477734,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.144195228477734,"endHours":22.144195228477734,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.144195228477734,"endHours":23.144195228477734,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.144195228477734,"endHours":24.144195228477734,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.144195228477734,"endHours":25.144195228477734,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.144195228477734,"endHours":26.144195228477734,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.144195228477734,"endHours":27.144195228477734,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.144195228477734,"endHours":28.144195228477734,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.144195228477734,"endHours":29.144195228477734,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.144195228477734,"endHours":30.144195228477734,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.144195228477734,"endHours":31.144195228477734,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Siddhi","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":-17.5741343877324,"eotMinutes":-13.52958854184206,"ayanamsa":24.1335}},"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 Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Ṣaṣṭhī · 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}],"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 31, 2020 CE · Ṛṣikeśa · Vidhyamitra","description":"January 31, 2020 CE for Ṛṣikeśa: Śukla Ṣaṣṭhī, sūryodaya 07:09, sūryāsta 17:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2020-01-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2020-01-31","sa":"https://sa.vidhyamitra.com/city/rishikesh/2020-01-31","hi":"https://hi.vidhyamitra.com/city/rishikesh/2020-01-31","x-default":"https://vidhyamitra.com/city/rishikesh/2020-01-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T12:45:14.710Z","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":"2026-05-15T12:45:14.710Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T12:45:14.710Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}