{"id":"vidhyamitra:city-day:ranchi:2121-01-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2121-01-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-01-17","date_display":"January 17, 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":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495755.770833,"kali_year":5222,"ahargana":1907290.2708,"sun":{"sidereal_longitude":270.9243,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":242.6647,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":331.7404,"elapsed_within_tithi_degrees":7.7404},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":242.6647,"elapsed_within_degrees":2.6647},"yoga":{"number":12,"name":"Dhruva","sum_longitude":153.589},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":2121,"month":1,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495755.770833,"ahargana":1907290.2708,"kali_year":5222,"ayanamsa_lahiri":25.5439,"grahas":{"sun":{"sidereal_longitude":271.31833400000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":242.81653400000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false,"latitude":-2.8859},"mars":{"sidereal_longitude":121.34583399999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":273.53703399999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":87.28643399999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"venus":{"sidereal_longitude":310.52803399999993,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":61.788134000000014,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":282.5829,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":102.5829,"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":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495755.770833,"kali_year":5222,"ahargana":1907290.2708,"sun":{"sidereal_longitude":270.9243,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":242.6647,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":331.7404,"elapsed_within_tithi_degrees":7.7404},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":242.6647,"elapsed_within_degrees":2.6647},"yoga":{"number":12,"name":"Dhruva","sum_longitude":153.589},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.886,"elongation":28.26},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.886,"opposition_distance":151.74}},"eclipse_window_40days":[{"offset_days":2,"type":"solar","occurs":true,"moon_latitude":-0.923,"elongation":2.346}]},"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"sunriseLocal":"06:33","sunsetLocal":"17:25","solarNoonLocal":"11:59","dayLengthHours":10.874061702265102,"dayLengthDisplay":"10 Hours 52 Mins 27 Secs","nightLengthDisplay":"13 Hours 07 Mins 33 Secs","moonriseLocal":"04:45","moonsetLocal":"15:24","rahuKala":{"name":"Rāhu Kāla","start":"10:37","end":"11:59","startHours":10.620537099652008,"endHours":11.979794812435145,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:42","end":"16:03","startHours":14.698310238001422,"endHours":16.05756795078456,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:54","end":"09:16","startHours":7.9020216740857325,"endHours":9.261279386868871,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.080045025164452,"endHours":9.442513748573289,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:17","startHours":6.995849865563641,"endHours":7.28582484429071,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:21","startHours":11.617326089026308,"endHours":12.342263535843982,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.092889067667247,"endHours":5.8178265144849215,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:33","startHours":5.636592152780503,"endHours":6.542763961302595,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:48","end":"14:31","startHours":13.79213842947933,"endHours":14.517075876297003,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:13","end":"17:37","startHours":17.216825663567697,"endHours":17.616825663567695,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:25","end":"17:52","startHours":17.416825663567696,"endHours":17.86991156782874,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:10","end":"18:55","startHours":17.166825663567696,"endHours":18.916825663567696,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:21","startHours":23.617326089026307,"endHours":24.342263535843983,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:33","end":"07:54","startHours":6.542763961302595,"endHours":7.9020216740857325,"quality":"neutral"},{"name":"Labha","start":"07:54","end":"09:16","startHours":7.9020216740857325,"endHours":9.261279386868871,"quality":"auspicious"},{"name":"Amṛta","start":"09:16","end":"10:37","startHours":9.261279386868871,"endHours":10.620537099652008,"quality":"auspicious"},{"name":"Kāla","start":"10:37","end":"11:59","startHours":10.620537099652008,"endHours":11.979794812435145,"quality":"inauspicious"},{"name":"Śubha","start":"11:59","end":"13:20","startHours":11.979794812435145,"endHours":13.339052525218284,"quality":"auspicious"},{"name":"Roga","start":"13:20","end":"14:42","startHours":13.339052525218284,"endHours":14.698310238001422,"quality":"inauspicious"},{"name":"Udveg","start":"14:42","end":"16:03","startHours":14.698310238001422,"endHours":16.05756795078456,"quality":"inauspicious"},{"name":"Chala","start":"16:03","end":"17:25","startHours":16.05756795078456,"endHours":17.416825663567696,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:25","end":"19:03","startHours":17.416825663567696,"endHours":19.05756795078456,"quality":"inauspicious"},{"name":"Udveg","start":"19:03","end":"20:42","startHours":19.05756795078456,"endHours":20.69831023800142,"quality":"inauspicious"},{"name":"Chala","start":"20:42","end":"22:20","startHours":20.69831023800142,"endHours":22.339052525218282,"quality":"neutral"},{"name":"Labha","start":"22:20","end":"23:59","startHours":22.339052525218282,"endHours":23.979794812435145,"quality":"auspicious"},{"name":"Amṛta","start":"23:59","end":"01:37","startHours":23.979794812435145,"endHours":25.620537099652008,"quality":"auspicious"},{"name":"Kāla","start":"01:37","end":"03:16","startHours":25.620537099652008,"endHours":27.26127938686887,"quality":"inauspicious"},{"name":"Śubha","start":"03:16","end":"04:54","startHours":27.26127938686887,"endHours":28.90202167408573,"quality":"auspicious"},{"name":"Roga","start":"04:54","end":"06:33","startHours":28.90202167408573,"endHours":30.542763961302594,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:33","end":"07:33","startHours":6.542763961302595,"endHours":7.542763961302595,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:33","end":"08:33","startHours":7.542763961302595,"endHours":8.542763961302594,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:33","end":"09:33","startHours":8.542763961302594,"endHours":9.542763961302594,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:33","end":"10:33","startHours":9.542763961302594,"endHours":10.542763961302594,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:33","end":"11:33","startHours":10.542763961302594,"endHours":11.542763961302594,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:33","end":"12:33","startHours":11.542763961302594,"endHours":12.542763961302594,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:33","end":"13:33","startHours":12.542763961302594,"endHours":13.542763961302594,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:33","end":"14:33","startHours":13.542763961302594,"endHours":14.542763961302594,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:33","end":"15:33","startHours":14.542763961302594,"endHours":15.542763961302594,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:33","end":"16:33","startHours":15.542763961302594,"endHours":16.542763961302594,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:33","end":"17:33","startHours":16.542763961302594,"endHours":17.542763961302594,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:33","end":"18:33","startHours":17.542763961302594,"endHours":18.542763961302594,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:33","end":"19:33","startHours":18.542763961302594,"endHours":19.542763961302594,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:33","end":"20:33","startHours":19.542763961302594,"endHours":20.542763961302594,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:33","end":"21:33","startHours":20.542763961302594,"endHours":21.542763961302594,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:33","end":"22:33","startHours":21.542763961302594,"endHours":22.542763961302594,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:33","end":"23:33","startHours":22.542763961302594,"endHours":23.542763961302594,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:33","end":"00:33","startHours":23.542763961302594,"endHours":24.542763961302594,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:33","end":"01:33","startHours":24.542763961302594,"endHours":25.542763961302594,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:33","end":"02:33","startHours":25.542763961302594,"endHours":26.542763961302594,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:33","end":"03:33","startHours":26.542763961302594,"endHours":27.542763961302594,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:33","end":"04:33","startHours":27.542763961302594,"endHours":28.542763961302594,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:33","end":"05:33","startHours":28.542763961302594,"endHours":29.542763961302594,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:33","end":"06:33","startHours":29.542763961302594,"endHours":30.542763961302594,"planetary_lord":"Mars"}],"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":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.782128670109802,"eotMinutes":-10.026088746108654,"ayanamsa":25.5439}},"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 Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","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":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Trayodaśī · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"festivals":[{"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":"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":"ranchi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 17, 2121 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 17, 2121 CE for Ranchi, Jharkhand: Kṛṣṇa Trayodaśī, sūryodaya 06:33, sūryāsta 17:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2121-01-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2121-01-17","sa":"https://sa.vidhyamitra.com/city/ranchi/2121-01-17","hi":"https://hi.vidhyamitra.com/city/ranchi/2121-01-17","x-default":"https://vidhyamitra.com/city/ranchi/2121-01-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T00:22:27.272Z","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":"2026-06-02T00:22:27.272Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T00:22:27.272Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}