{"id":"vidhyamitra:city-day:kolhapur:2121-01-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/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":"kolhapur","name":"Kolhāpur, Maharashtra","lat":16.705,"lon":74.2433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"kolhapur","name":"Kolhāpur, Maharashtra","lat":16.705,"lon":74.2433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"sunriseLocal":"07:05","sunsetLocal":"18:21","solarNoonLocal":"12:43","dayLengthHours":11.252750424154364,"dayLengthDisplay":"11 Hours 15 Mins 10 Secs","nightLengthDisplay":"12 Hours 44 Mins 50 Secs","moonriseLocal":"05:16","moonsetLocal":"16:22","rahuKala":{"name":"Rāhu Kāla","start":"11:19","end":"12:43","startHours":11.310954342749184,"endHours":12.717548145768479,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:32","end":"16:56","startHours":15.53073575180707,"endHours":16.937329554826366,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:30","end":"09:54","startHours":8.497766736710592,"endHours":9.904360539729888,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:43","end":"10:06","startHours":9.716814699327315,"endHours":10.09190638013246,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:52","startHours":7.560037534697729,"endHours":7.860110879341845,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:21","end":"13:06","startHours":12.342456464963334,"endHours":13.092639826573624,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:35","end":"06:20","startHours":5.590806210470715,"endHours":6.340989572081006,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:05","startHours":6.153443731678434,"endHours":7.091172933691297,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:21","startHours":14.593006549794207,"endHours":15.3431899114045,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:09","end":"18:33","startHours":18.14392335784566,"endHours":18.54392335784566,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:21","end":"18:49","startHours":18.34392335784566,"endHours":18.81278795885209,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:06","end":"19:51","startHours":18.09392335784566,"endHours":19.84392335784566,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:21","end":"01:06","startHours":24.342456464963334,"endHours":25.092639826573624,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:05","end":"08:30","startHours":7.091172933691297,"endHours":8.497766736710592,"quality":"neutral"},{"name":"Labha","start":"08:30","end":"09:54","startHours":8.497766736710592,"endHours":9.904360539729888,"quality":"auspicious"},{"name":"Amṛta","start":"09:54","end":"11:19","startHours":9.904360539729888,"endHours":11.310954342749184,"quality":"auspicious"},{"name":"Kāla","start":"11:19","end":"12:43","startHours":11.310954342749184,"endHours":12.717548145768479,"quality":"inauspicious"},{"name":"Śubha","start":"12:43","end":"14:07","startHours":12.717548145768479,"endHours":14.124141948787774,"quality":"auspicious"},{"name":"Roga","start":"14:07","end":"15:32","startHours":14.124141948787774,"endHours":15.53073575180707,"quality":"inauspicious"},{"name":"Udveg","start":"15:32","end":"16:56","startHours":15.53073575180707,"endHours":16.937329554826366,"quality":"inauspicious"},{"name":"Chala","start":"16:56","end":"18:21","startHours":16.937329554826366,"endHours":18.34392335784566,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:21","end":"19:56","startHours":18.34392335784566,"endHours":19.937329554826366,"quality":"inauspicious"},{"name":"Udveg","start":"19:56","end":"21:32","startHours":19.937329554826366,"endHours":21.53073575180707,"quality":"inauspicious"},{"name":"Chala","start":"21:32","end":"23:07","startHours":21.53073575180707,"endHours":23.124141948787774,"quality":"neutral"},{"name":"Labha","start":"23:07","end":"00:43","startHours":23.124141948787774,"endHours":24.71754814576848,"quality":"auspicious"},{"name":"Amṛta","start":"00:43","end":"02:19","startHours":24.71754814576848,"endHours":26.310954342749184,"quality":"auspicious"},{"name":"Kāla","start":"02:19","end":"03:54","startHours":26.310954342749184,"endHours":27.904360539729886,"quality":"inauspicious"},{"name":"Śubha","start":"03:54","end":"05:30","startHours":27.904360539729886,"endHours":29.49776673671059,"quality":"auspicious"},{"name":"Roga","start":"05:30","end":"07:05","startHours":29.49776673671059,"endHours":31.091172933691297,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.091172933691297,"endHours":8.091172933691297,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.091172933691297,"endHours":9.091172933691297,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.091172933691297,"endHours":10.091172933691297,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.091172933691297,"endHours":11.091172933691297,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.091172933691297,"endHours":12.091172933691297,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.091172933691297,"endHours":13.091172933691297,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.091172933691297,"endHours":14.091172933691297,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.091172933691297,"endHours":15.091172933691297,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.091172933691297,"endHours":16.091172933691297,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.091172933691297,"endHours":17.091172933691297,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.091172933691297,"endHours":18.091172933691297,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.091172933691297,"endHours":19.091172933691297,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.091172933691297,"endHours":20.091172933691297,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.091172933691297,"endHours":21.091172933691297,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.091172933691297,"endHours":22.091172933691297,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.091172933691297,"endHours":23.091172933691297,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.091172933691297,"endHours":24.091172933691297,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.091172933691297,"endHours":25.091172933691297,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.091172933691297,"endHours":26.091172933691297,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.091172933691297,"endHours":27.091172933691297,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.091172933691297,"endHours":28.091172933691297,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.091172933691297,"endHours":29.091172933691297,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.091172933691297,"endHours":30.091172933691297,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.091172933691297,"endHours":31.091172933691297,"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"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","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","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Trayodaśī · 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},{"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":"kolhapur"},"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 · Kolhāpur, Maharashtra · Vidhyamitra","description":"January 17, 2121 CE for Kolhāpur, Maharashtra: Kṛṣṇa Trayodaśī, sūryodaya 07:05, sūryāsta 18:21.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2121-01-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2121-01-17","sa":"https://sa.vidhyamitra.com/city/kolhapur/2121-01-17","hi":"https://hi.vidhyamitra.com/city/kolhapur/2121-01-17","x-default":"https://vidhyamitra.com/city/kolhapur/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":"2026-05-22T07:56:06.128Z","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":"2026-05-22T07:56:06.128Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T07:56:06.128Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}