{"id":"vidhyamitra:city-day:rishikesh:2122-01-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2122-01-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2122-01-21","date_display":"January 21, 2122 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":2122,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2496124.770833,"kali_year":5223,"ahargana":1907659.2708,"sun":{"sidereal_longitude":274.7645,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":76.1433,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":161.3788,"elapsed_within_tithi_degrees":5.3788},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":76.1433,"elapsed_within_degrees":9.4766},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":350.9078},"karana":{"half_tithi_index":26,"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":2122,"month":1,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2496124.770833,"ahargana":1907659.2708,"kali_year":5223,"ayanamsa_lahiri":25.558,"grahas":{"sun":{"sidereal_longitude":275.1300349999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":75.370835,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":0.5392},"mars":{"sidereal_longitude":281.29293499999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":249.363835,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":122.508735,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":284.045935,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":76.671535,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":263.0315,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":83.0315,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":2122,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2496124.770833,"kali_year":5223,"ahargana":1907659.2708,"sun":{"sidereal_longitude":274.7645,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":76.1433,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":161.3788,"elapsed_within_tithi_degrees":5.3788},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":76.1433,"elapsed_within_degrees":9.4766},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":350.9078},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.539,"elongation":161.379},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.539,"opposition_distance":18.621}},"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":"17:44","solarNoonLocal":"12:28","dayLengthHours":10.516246336135131,"dayLengthDisplay":"10 Hours 30 Mins 58 Secs","nightLengthDisplay":"13 Hours 29 Mins 02 Secs","moonriseLocal":"16:09","moonsetLocal":"06:09","rahuKala":{"name":"Rāhu Kāla","start":"12:28","end":"13:47","startHours":12.469755520818868,"endHours":13.78428631283576,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:32","end":"09:50","startHours":8.526163144768194,"endHours":9.840693936785087,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:09","end":"12:28","startHours":11.155224728801977,"endHours":12.469755520818868,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.665423164516167,"endHours":10.015964709054005,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:56","startHours":7.6498092834236004,"endHours":7.930242519053871,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.119213976281031,"endHours":12.820297065356705,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:49","end":"06:31","startHours":5.809466174599953,"endHours":6.510549263675628,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:20","end":"07:13","startHours":6.33527849140671,"endHours":7.2116323527513035,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:55","startHours":14.222463243508058,"endHours":14.923546332583733,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:32","end":"17:56","startHours":17.527878688886435,"endHours":17.927878688886434,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:44","end":"18:10","startHours":17.727878688886435,"endHours":18.166055619558733,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:29","end":"19:14","startHours":17.477878688886435,"endHours":19.227878688886435,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.11921397628103,"endHours":24.820297065356705,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:13","end":"08:32","startHours":7.2116323527513035,"endHours":8.526163144768194,"quality":"auspicious"},{"name":"Amṛta","start":"08:32","end":"09:50","startHours":8.526163144768194,"endHours":9.840693936785087,"quality":"auspicious"},{"name":"Kāla","start":"09:50","end":"11:09","startHours":9.840693936785087,"endHours":11.155224728801977,"quality":"inauspicious"},{"name":"Śubha","start":"11:09","end":"12:28","startHours":11.155224728801977,"endHours":12.469755520818868,"quality":"auspicious"},{"name":"Roga","start":"12:28","end":"13:47","startHours":12.469755520818868,"endHours":13.78428631283576,"quality":"inauspicious"},{"name":"Udveg","start":"13:47","end":"15:06","startHours":13.78428631283576,"endHours":15.098817104852651,"quality":"inauspicious"},{"name":"Chala","start":"15:06","end":"16:25","startHours":15.098817104852651,"endHours":16.413347896869546,"quality":"neutral"},{"name":"Labha","start":"16:25","end":"17:44","startHours":16.413347896869546,"endHours":17.727878688886435,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:44","end":"19:25","startHours":17.727878688886435,"endHours":19.413347896869542,"quality":"inauspicious"},{"name":"Chala","start":"19:25","end":"21:06","startHours":19.413347896869542,"endHours":21.098817104852653,"quality":"neutral"},{"name":"Labha","start":"21:06","end":"22:47","startHours":21.098817104852653,"endHours":22.78428631283576,"quality":"auspicious"},{"name":"Amṛta","start":"22:47","end":"00:28","startHours":22.78428631283576,"endHours":24.469755520818868,"quality":"auspicious"},{"name":"Kāla","start":"00:28","end":"02:09","startHours":24.469755520818868,"endHours":26.155224728801976,"quality":"inauspicious"},{"name":"Śubha","start":"02:09","end":"03:50","startHours":26.155224728801976,"endHours":27.840693936785087,"quality":"auspicious"},{"name":"Roga","start":"03:50","end":"05:32","startHours":27.840693936785087,"endHours":29.526163144768194,"quality":"inauspicious"},{"name":"Udveg","start":"05:32","end":"07:13","startHours":29.526163144768194,"endHours":31.2116323527513,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.2116323527513035,"endHours":8.211632352751304,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.211632352751304,"endHours":9.211632352751304,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.211632352751304,"endHours":10.211632352751304,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.211632352751304,"endHours":11.211632352751304,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.211632352751304,"endHours":12.211632352751304,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.211632352751304,"endHours":13.211632352751304,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.211632352751304,"endHours":14.211632352751304,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.211632352751304,"endHours":15.211632352751304,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.211632352751304,"endHours":16.2116323527513,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.2116323527513,"endHours":17.2116323527513,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.2116323527513,"endHours":18.2116323527513,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.2116323527513,"endHours":19.2116323527513,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.2116323527513,"endHours":20.2116323527513,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.2116323527513,"endHours":21.2116323527513,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.2116323527513,"endHours":22.2116323527513,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.2116323527513,"endHours":23.2116323527513,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.2116323527513,"endHours":24.2116323527513,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.2116323527513,"endHours":25.2116323527513,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.2116323527513,"endHours":26.2116323527513,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.2116323527513,"endHours":27.2116323527513,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.2116323527513,"endHours":28.2116323527513,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.2116323527513,"endHours":29.2116323527513,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.2116323527513,"endHours":30.2116323527513,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.2116323527513,"endHours":31.2116323527513,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.00081789725422,"eotMinutes":-11.255731249132124,"ayanamsa":25.558}},"calendars":{"vikram_samvat":2179,"vikram_samvatsara":"Manmatha","saka_samvat":2044,"saka_samvatsara":"Citrabhānu","bengali_samvat":1529,"malayalam_era":1298,"nanakshahi_year":653,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Caturdaśī · Vikram 2179 Manmatha · Śaka 2044 Citrabhānu"},"festivals":[],"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 21, 2122 CE · Ṛṣikeśa · Vidhyamitra","description":"January 21, 2122 CE for Ṛṣikeśa: Śukla Caturdaśī, sūryodaya 07:13, sūryāsta 17:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2122-01-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2122-01-21","sa":"https://sa.vidhyamitra.com/city/rishikesh/2122-01-21","hi":"https://hi.vidhyamitra.com/city/rishikesh/2122-01-21","x-default":"https://vidhyamitra.com/city/rishikesh/2122-01-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:47:20.132Z","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":"2026-05-31T16:47:20.132Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:47:20.132Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}