{"id":"vidhyamitra:city-day:kolhapur:2103-01-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2103-01-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2103-01-21","date_display":"January 21, 2103 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":2103,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489184.770833,"kali_year":5204,"ahargana":1900719.2708,"sun":{"sidereal_longitude":274.6787,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":69.7349,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.0562,"elapsed_within_tithi_degrees":11.0562},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":69.7349,"elapsed_within_degrees":3.0682},"yoga":{"number":26,"name":"Indra","sum_longitude":344.4136},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2103,"month":1,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489184.770833,"ahargana":1900719.2708,"kali_year":5204,"ayanamsa_lahiri":25.2926,"grahas":{"sun":{"sidereal_longitude":275.00029400000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":70.534494,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false,"latitude":1.612},"mars":{"sidereal_longitude":256.446594,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":251.68419400000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":255.259594,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":300.92189399999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":213.58719399999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":270.7461,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":90.7461,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"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":2103,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489184.770833,"kali_year":5204,"ahargana":1900719.2708,"sun":{"sidereal_longitude":274.6787,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":69.7349,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.0562,"elapsed_within_tithi_degrees":11.0562},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":69.7349,"elapsed_within_degrees":3.0682},"yoga":{"number":26,"name":"Indra","sum_longitude":344.4136},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.612,"elongation":155.056},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.612,"opposition_distance":24.944}},"eclipse_window_40days":[{"offset_days":-12,"type":"solar","occurs":true,"moon_latitude":-0.501,"elongation":2.631},{"offset_days":2,"type":"lunar","occurs":true,"moon_latitude":-0.361,"opposition_distance":1.481}]},"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":"07:06","sunsetLocal":"18:23","solarNoonLocal":"12:44","dayLengthHours":11.284069594611687,"dayLengthDisplay":"11 Hours 17 Mins 03 Secs","nightLengthDisplay":"12 Hours 42 Mins 57 Secs","moonriseLocal":"16:34","moonsetLocal":"05:39","rahuKala":{"name":"Rāhu Kāla","start":"16:58","end":"18:23","startHours":16.96956828546492,"endHours":18.38007698479138,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:44","end":"14:09","startHours":12.738042187485537,"endHours":14.148550886811996,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:34","end":"16:58","startHours":15.559059586138458,"endHours":16.96956828546492,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:44","end":"10:06","startHours":9.728956962255754,"endHours":10.105092615409475,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:52","startHours":7.566176956621847,"endHours":7.8670854791448255,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:22","end":"13:07","startHours":12.361906534331814,"endHours":13.11417784063926,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:35","end":"06:21","startHours":5.591464777564802,"endHours":6.343736083872248,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:06","startHours":6.155668257295386,"endHours":7.096007390179693,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:22","startHours":14.61872045325415,"endHours":15.370991759561596,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:11","end":"18:35","startHours":18.18007698479138,"endHours":18.58007698479138,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:23","end":"18:51","startHours":18.38007698479138,"endHours":18.850246551233532,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:08","end":"19:53","startHours":18.13007698479138,"endHours":19.88007698479138,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:22","end":"01:07","startHours":24.361906534331812,"endHours":25.11417784063926,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:06","end":"08:30","startHours":7.096007390179693,"endHours":8.506516089506153,"quality":"inauspicious"},{"name":"Chala","start":"08:30","end":"09:55","startHours":8.506516089506153,"endHours":9.917024788832615,"quality":"neutral"},{"name":"Labha","start":"09:55","end":"11:20","startHours":9.917024788832615,"endHours":11.327533488159077,"quality":"auspicious"},{"name":"Amṛta","start":"11:20","end":"12:44","startHours":11.327533488159077,"endHours":12.738042187485537,"quality":"auspicious"},{"name":"Kāla","start":"12:44","end":"14:09","startHours":12.738042187485537,"endHours":14.148550886811996,"quality":"inauspicious"},{"name":"Śubha","start":"14:09","end":"15:34","startHours":14.148550886811996,"endHours":15.559059586138458,"quality":"auspicious"},{"name":"Roga","start":"15:34","end":"16:58","startHours":15.559059586138458,"endHours":16.96956828546492,"quality":"inauspicious"},{"name":"Udveg","start":"16:58","end":"18:23","startHours":16.96956828546492,"endHours":18.38007698479138,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:23","end":"19:58","startHours":18.38007698479138,"endHours":19.96956828546492,"quality":"auspicious"},{"name":"Roga","start":"19:58","end":"21:34","startHours":19.96956828546492,"endHours":21.55905958613846,"quality":"inauspicious"},{"name":"Udveg","start":"21:34","end":"23:09","startHours":21.55905958613846,"endHours":23.148550886811996,"quality":"inauspicious"},{"name":"Chala","start":"23:09","end":"00:44","startHours":23.148550886811996,"endHours":24.738042187485537,"quality":"neutral"},{"name":"Labha","start":"00:44","end":"02:20","startHours":24.738042187485537,"endHours":26.327533488159077,"quality":"auspicious"},{"name":"Amṛta","start":"02:20","end":"03:55","startHours":26.327533488159077,"endHours":27.917024788832613,"quality":"auspicious"},{"name":"Kāla","start":"03:55","end":"05:30","startHours":27.917024788832613,"endHours":29.506516089506153,"quality":"inauspicious"},{"name":"Śubha","start":"05:30","end":"07:06","startHours":29.506516089506153,"endHours":31.096007390179693,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:06","end":"08:06","startHours":7.096007390179693,"endHours":8.096007390179693,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:06","end":"09:06","startHours":8.096007390179693,"endHours":9.096007390179693,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:06","end":"10:06","startHours":9.096007390179693,"endHours":10.096007390179693,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:06","end":"11:06","startHours":10.096007390179693,"endHours":11.096007390179693,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:06","end":"12:06","startHours":11.096007390179693,"endHours":12.096007390179693,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:06","end":"13:06","startHours":12.096007390179693,"endHours":13.096007390179693,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:06","end":"14:06","startHours":13.096007390179693,"endHours":14.096007390179693,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:06","end":"15:06","startHours":14.096007390179693,"endHours":15.096007390179693,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:06","end":"16:06","startHours":15.096007390179693,"endHours":16.096007390179693,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:06","end":"17:06","startHours":16.096007390179693,"endHours":17.096007390179693,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:06","end":"18:06","startHours":17.096007390179693,"endHours":18.096007390179693,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:06","end":"19:06","startHours":18.096007390179693,"endHours":19.096007390179693,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:06","end":"20:06","startHours":19.096007390179693,"endHours":20.096007390179693,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:06","end":"21:06","startHours":20.096007390179693,"endHours":21.096007390179693,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:06","end":"22:06","startHours":21.096007390179693,"endHours":22.096007390179693,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:06","end":"23:06","startHours":22.096007390179693,"endHours":23.096007390179693,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:06","end":"00:06","startHours":23.096007390179693,"endHours":24.096007390179693,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:06","end":"01:06","startHours":24.096007390179693,"endHours":25.096007390179693,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:06","end":"02:06","startHours":25.096007390179693,"endHours":26.096007390179693,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:06","end":"03:06","startHours":26.096007390179693,"endHours":27.096007390179693,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:06","end":"04:06","startHours":27.096007390179693,"endHours":28.096007390179693,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:06","end":"05:06","startHours":28.096007390179693,"endHours":29.096007390179693,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:06","end":"06:06","startHours":29.096007390179693,"endHours":30.096007390179693,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:06","end":"07:06","startHours":30.096007390179693,"endHours":31.096007390179693,"planetary_lord":"Jupiter"}],"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":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"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":-20.08570117262851,"eotMinutes":-11.255731249132124,"ayanamsa":25.2926}},"calendars":{"vikram_samvat":2160,"vikram_samvatsara":"Dhātṛ","saka_samvat":2025,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1510,"malayalam_era":1279,"nanakshahi_year":634,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Trayodaśī · Vikram 2160 Dhātṛ · Śaka 2025 Rudhirodgāri"},"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 21, 2103 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"January 21, 2103 CE for Kolhāpur, Maharashtra: Śukla Trayodaśī, sūryodaya 07:06, sūryāsta 18:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2103-01-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2103-01-21","sa":"https://sa.vidhyamitra.com/city/kolhapur/2103-01-21","hi":"https://hi.vidhyamitra.com/city/kolhapur/2103-01-21","x-default":"https://vidhyamitra.com/city/kolhapur/2103-01-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T07:30:52.285Z","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":"2026-05-21T07:30:52.285Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T07:30:52.285Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}