{"id":"vidhyamitra:city-day:rishikesh:2121-01-28:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2121-01-28","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-01-28","date_display":"January 28, 2121 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":2121,"month":1,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495766.770833,"kali_year":5222,"ahargana":1907301.2708,"sun":{"sidereal_longitude":282.2049,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":37.267,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":115.0621,"elapsed_within_tithi_degrees":7.0621},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":37.267,"elapsed_within_degrees":10.6003},"yoga":{"number":24,"name":"Śukla","sum_longitude":319.4719},"karana":{"half_tithi_index":19,"name":"Gara"},"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":2121,"month":1,"day":28,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495766.770833,"ahargana":1907301.2708,"kali_year":5222,"ayanamsa_lahiri":25.5443,"grahas":{"sun":{"sidereal_longitude":282.51191399999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"moon":{"sidereal_longitude":40.05651399999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":4.0687},"mars":{"sidereal_longitude":118.15801399999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":262.624414,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":85.84221400000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"venus":{"sidereal_longitude":314.804114,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":61.139114000000006,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":282.0001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":102.0001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"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":2121,"month":1,"day":28,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495766.770833,"kali_year":5222,"ahargana":1907301.2708,"sun":{"sidereal_longitude":282.2049,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":37.267,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":115.0621,"elapsed_within_tithi_degrees":7.0621},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4,"moon_longitude":37.267,"elapsed_within_degrees":10.6003},"yoga":{"number":24,"name":"Śukla","sum_longitude":319.4719},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.069,"elongation":115.062},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.069,"opposition_distance":64.938}},"eclipse_window_40days":[{"offset_days":-9,"type":"solar","occurs":true,"moon_latitude":-0.923,"elongation":2.346}]},"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":"07:10","sunsetLocal":"17:50","solarNoonLocal":"12:30","dayLengthHours":10.668854752376854,"dayLengthDisplay":"10 Hours 40 Mins 08 Secs","nightLengthDisplay":"13 Hours 19 Mins 52 Secs","moonriseLocal":"13:25","moonsetLocal":"03:15","rahuKala":{"name":"Rāhu Kāla","start":"15:10","end":"16:30","startHours":15.165617555341976,"endHours":16.49922439938908,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:50","end":"11:10","startHours":9.831190179153548,"endHours":11.164797023200656,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:30","end":"13:50","startHours":12.498403867247763,"endHours":13.832010711294869,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.653375933280602,"endHours":10.009004425026497,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.6085121057417044,"endHours":7.893014899138421,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:51","startHours":12.142775375501868,"endHours":12.854032358993658,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:27","startHours":5.741462524075755,"endHours":6.452719507567545,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:10","startHours":6.274905261694597,"endHours":7.163976491059335,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"14:59","startHours":14.276546325977238,"endHours":14.987803309469028,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.63283124343619,"endHours":18.03283124343619,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:17","startHours":17.83283124343619,"endHours":18.277366858118558,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.58283124343619,"endHours":19.33283124343619,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:51","startHours":24.142775375501866,"endHours":24.85403235899366,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:10","end":"08:30","startHours":7.163976491059335,"endHours":8.497583335106443,"quality":"inauspicious"},{"name":"Udveg","start":"08:30","end":"09:50","startHours":8.497583335106443,"endHours":9.831190179153548,"quality":"inauspicious"},{"name":"Chala","start":"09:50","end":"11:10","startHours":9.831190179153548,"endHours":11.164797023200656,"quality":"neutral"},{"name":"Labha","start":"11:10","end":"12:30","startHours":11.164797023200656,"endHours":12.498403867247763,"quality":"auspicious"},{"name":"Amṛta","start":"12:30","end":"13:50","startHours":12.498403867247763,"endHours":13.832010711294869,"quality":"auspicious"},{"name":"Kāla","start":"13:50","end":"15:10","startHours":13.832010711294869,"endHours":15.165617555341976,"quality":"inauspicious"},{"name":"Śubha","start":"15:10","end":"16:30","startHours":15.165617555341976,"endHours":16.49922439938908,"quality":"auspicious"},{"name":"Roga","start":"16:30","end":"17:50","startHours":16.49922439938908,"endHours":17.83283124343619,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:50","end":"19:30","startHours":17.83283124343619,"endHours":19.49922439938908,"quality":"inauspicious"},{"name":"Śubha","start":"19:30","end":"21:10","startHours":19.49922439938908,"endHours":21.165617555341974,"quality":"auspicious"},{"name":"Roga","start":"21:10","end":"22:50","startHours":21.165617555341974,"endHours":22.83201071129487,"quality":"inauspicious"},{"name":"Udveg","start":"22:50","end":"00:30","startHours":22.83201071129487,"endHours":24.498403867247763,"quality":"inauspicious"},{"name":"Chala","start":"00:30","end":"02:10","startHours":24.498403867247763,"endHours":26.164797023200656,"quality":"neutral"},{"name":"Labha","start":"02:10","end":"03:50","startHours":26.164797023200656,"endHours":27.83119017915355,"quality":"auspicious"},{"name":"Amṛta","start":"03:50","end":"05:30","startHours":27.83119017915355,"endHours":29.49758333510644,"quality":"auspicious"},{"name":"Kāla","start":"05:30","end":"07:10","startHours":29.49758333510644,"endHours":31.163976491059337,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.163976491059335,"endHours":8.163976491059335,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.163976491059335,"endHours":9.163976491059335,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.163976491059335,"endHours":10.163976491059335,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.163976491059335,"endHours":11.163976491059335,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.163976491059335,"endHours":12.163976491059335,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.163976491059335,"endHours":13.163976491059335,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.163976491059335,"endHours":14.163976491059335,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.163976491059335,"endHours":15.163976491059335,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.163976491059335,"endHours":16.163976491059337,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.163976491059337,"endHours":17.163976491059337,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.163976491059337,"endHours":18.163976491059337,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.163976491059337,"endHours":19.163976491059337,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.163976491059337,"endHours":20.163976491059337,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.163976491059337,"endHours":21.163976491059337,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.163976491059337,"endHours":22.163976491059337,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.163976491059337,"endHours":23.163976491059337,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.163976491059337,"endHours":24.163976491059337,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.163976491059337,"endHours":25.163976491059337,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.163976491059337,"endHours":26.163976491059337,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.163976491059337,"endHours":27.163976491059337,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.163976491059337,"endHours":28.163976491059337,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.163976491059337,"endHours":29.163976491059337,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.163976491059337,"endHours":30.163976491059337,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.163976491059337,"endHours":31.163976491059337,"planetary_lord":"Saturn"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Chatra","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":-18.25079961446054,"eotMinutes":-12.974632034865841,"ayanamsa":25.5443}},"calendars":{"vikram_samvat":2178,"vikram_samvatsara":"Jaya","saka_samvat":2043,"saka_samvatsara":"Vṛṣa","bengali_samvat":1528,"malayalam_era":1297,"nanakshahi_year":652,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Daśamī · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"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":"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 Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 28, 2121 CE · Ṛṣikeśa · Vidhyamitra","description":"January 28, 2121 CE for Ṛṣikeśa: Śukla Daśamī, sūryodaya 07:10, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2121-01-28","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2121-01-28","sa":"https://sa.vidhyamitra.com/city/rishikesh/2121-01-28","hi":"https://hi.vidhyamitra.com/city/rishikesh/2121-01-28","x-default":"https://vidhyamitra.com/city/rishikesh/2121-01-28"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T08:34:23.991Z","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":"2026-05-22T08:34:23.992Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T08:34:23.992Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}