{"id":"vidhyamitra:city-day:kolhapur:2091-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2091-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2091-12-20","date_display":"December 20, 2091 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":2091,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485135.770833,"kali_year":5193,"ahargana":1896670.2708,"sun":{"sidereal_longitude":242.6671,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":356.1812,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":113.5141,"elapsed_within_tithi_degrees":5.5141},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":356.1812,"elapsed_within_degrees":9.5145},"yoga":{"number":18,"name":"Varīyān","sum_longitude":238.8483},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2091,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2485135.770833,"ahargana":1896670.2708,"kali_year":5193,"ayanamsa_lahiri":25.1377,"grahas":{"sun":{"sidereal_longitude":243.237396,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":358.612496,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false,"latitude":-3.4908},"mars":{"sidereal_longitude":269.75199599999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":226.32549599999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":270.08079599999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":278.61389600000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":70.805296,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":125.2816,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":305.2816,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":2091,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485135.770833,"kali_year":5193,"ahargana":1896670.2708,"sun":{"sidereal_longitude":242.6671,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":356.1812,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":113.5141,"elapsed_within_tithi_degrees":5.5141},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":356.1812,"elapsed_within_degrees":9.5145},"yoga":{"number":18,"name":"Varīyān","sum_longitude":238.8483},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.491,"elongation":113.514},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.491,"opposition_distance":66.486}},"eclipse_window_40days":[]},"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":"06:57","sunsetLocal":"18:05","solarNoonLocal":"12:31","dayLengthHours":11.131115425046247,"dayLengthDisplay":"11 Hours 07 Mins 52 Secs","nightLengthDisplay":"12 Hours 52 Mins 08 Secs","moonriseLocal":"13:59","moonsetLocal":"02:26","rahuKala":{"name":"Rāhu Kāla","start":"13:55","end":"15:18","startHours":13.910970802756303,"endHours":15.302360230887082,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:57","end":"08:21","startHours":6.954023662102398,"endHours":8.34541309023318,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:44","end":"11:08","startHours":9.736802518363959,"endHours":11.128191946494741,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:33","end":"09:55","startHours":9.551283927946521,"endHours":9.922321108781397,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:25","end":"07:43","startHours":7.417820138145991,"endHours":7.714649882813891,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:53","startHours":12.148544193790645,"endHours":12.890618555460396,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:28","end":"06:13","startHours":5.469874938762898,"endHours":6.211949300432648,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:02","end":"06:57","startHours":6.026430710015211,"endHours":6.954023662102398,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:07","startHours":14.374767278799895,"endHours":15.116841640469644,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:53","end":"18:17","startHours":17.885139087148644,"endHours":18.285139087148643,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:05","end":"18:33","startHours":18.085139087148644,"endHours":18.548935563192238,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:50","end":"19:35","startHours":17.835139087148644,"endHours":19.585139087148644,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:53","startHours":24.148544193790645,"endHours":24.890618555460396,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:57","end":"08:21","startHours":6.954023662102398,"endHours":8.34541309023318,"quality":"auspicious"},{"name":"Roga","start":"08:21","end":"09:44","startHours":8.34541309023318,"endHours":9.736802518363959,"quality":"inauspicious"},{"name":"Udveg","start":"09:44","end":"11:08","startHours":9.736802518363959,"endHours":11.128191946494741,"quality":"inauspicious"},{"name":"Chala","start":"11:08","end":"12:31","startHours":11.128191946494741,"endHours":12.51958137462552,"quality":"neutral"},{"name":"Labha","start":"12:31","end":"13:55","startHours":12.51958137462552,"endHours":13.910970802756303,"quality":"auspicious"},{"name":"Amṛta","start":"13:55","end":"15:18","startHours":13.910970802756303,"endHours":15.302360230887082,"quality":"auspicious"},{"name":"Kāla","start":"15:18","end":"16:42","startHours":15.302360230887082,"endHours":16.693749659017865,"quality":"inauspicious"},{"name":"Śubha","start":"16:42","end":"18:05","startHours":16.693749659017865,"endHours":18.085139087148644,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:05","end":"19:42","startHours":18.085139087148644,"endHours":19.69374965901786,"quality":"auspicious"},{"name":"Kāla","start":"19:42","end":"21:18","startHours":19.69374965901786,"endHours":21.302360230887082,"quality":"inauspicious"},{"name":"Śubha","start":"21:18","end":"22:55","startHours":21.302360230887082,"endHours":22.910970802756303,"quality":"auspicious"},{"name":"Roga","start":"22:55","end":"00:31","startHours":22.910970802756303,"endHours":24.51958137462552,"quality":"inauspicious"},{"name":"Udveg","start":"00:31","end":"02:08","startHours":24.51958137462552,"endHours":26.128191946494738,"quality":"inauspicious"},{"name":"Chala","start":"02:08","end":"03:44","startHours":26.128191946494738,"endHours":27.73680251836396,"quality":"neutral"},{"name":"Labha","start":"03:44","end":"05:21","startHours":27.73680251836396,"endHours":29.34541309023318,"quality":"auspicious"},{"name":"Amṛta","start":"05:21","end":"06:57","startHours":29.34541309023318,"endHours":30.954023662102397,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:57","end":"07:57","startHours":6.954023662102398,"endHours":7.954023662102398,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:57","end":"08:57","startHours":7.954023662102398,"endHours":8.954023662102397,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:57","end":"09:57","startHours":8.954023662102397,"endHours":9.954023662102397,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:57","end":"10:57","startHours":9.954023662102397,"endHours":10.954023662102397,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:57","end":"11:57","startHours":10.954023662102397,"endHours":11.954023662102397,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:57","end":"12:57","startHours":11.954023662102397,"endHours":12.954023662102397,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:57","end":"13:57","startHours":12.954023662102397,"endHours":13.954023662102397,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:57","end":"14:57","startHours":13.954023662102397,"endHours":14.954023662102397,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:57","end":"15:57","startHours":14.954023662102397,"endHours":15.954023662102397,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:57","end":"16:57","startHours":15.954023662102397,"endHours":16.954023662102397,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:57","end":"17:57","startHours":16.954023662102397,"endHours":17.954023662102397,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:57","end":"18:57","startHours":17.954023662102397,"endHours":18.954023662102397,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:57","end":"19:57","startHours":18.954023662102397,"endHours":19.954023662102397,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:57","end":"20:57","startHours":19.954023662102397,"endHours":20.954023662102397,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:57","end":"21:57","startHours":20.954023662102397,"endHours":21.954023662102397,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:57","end":"22:57","startHours":21.954023662102397,"endHours":22.954023662102397,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:57","end":"23:57","startHours":22.954023662102397,"endHours":23.954023662102397,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:57","end":"00:57","startHours":23.954023662102397,"endHours":24.954023662102397,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:57","end":"01:57","startHours":24.954023662102397,"endHours":25.954023662102397,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:57","end":"02:57","startHours":25.954023662102397,"endHours":26.954023662102397,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:57","end":"03:57","startHours":26.954023662102397,"endHours":27.954023662102397,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:57","end":"04:57","startHours":27.954023662102397,"endHours":28.954023662102397,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:57","end":"05:57","startHours":28.954023662102397,"endHours":29.954023662102397,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:57","end":"06:57","startHours":29.954023662102397,"endHours":30.954023662102397,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.4265128503491,"eotMinutes":1.851917522468745,"ayanamsa":25.1377}},"calendars":{"vikram_samvat":2148,"vikram_samvatsara":"Raktākṣī","saka_samvat":2013,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1498,"malayalam_era":1267,"nanakshahi_year":622,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Daśamī · Vikram 2148 Raktākṣī · Śaka 2013 Virodhakṛt"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 December 20, 2091 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 20, 2091 CE for Kolhāpur, Maharashtra: Śukla Daśamī, sūryodaya 06:57, sūryāsta 18:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2091-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2091-12-20","sa":"https://sa.vidhyamitra.com/city/kolhapur/2091-12-20","hi":"https://hi.vidhyamitra.com/city/kolhapur/2091-12-20","x-default":"https://vidhyamitra.com/city/kolhapur/2091-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T06:40:01.626Z","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":"2026-05-20T06:40:01.626Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-20T06:40:01.626Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}