{"id":"vidhyamitra:city-day:kolhapur:2020-12-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2020-12-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2020-12-14","date_display":"December 14, 2020 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":2020,"month":12,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459197.770833,"kali_year":5122,"ahargana":1870732.2708,"sun":{"sidereal_longitude":237.9173,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":230.68,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":352.7627,"elapsed_within_tithi_degrees":4.7627},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2,"moon_longitude":230.68,"elapsed_within_degrees":4.0134},"yoga":{"number":9,"name":"Śūla","sum_longitude":108.5974},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2020,"month":12,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459197.770833,"ahargana":1870732.2708,"kali_year":5122,"ayanamsa_lahiri":24.1457,"grahas":{"sun":{"sidereal_longitude":238.36011800000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":229.637918,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false,"latitude":0.6972},"mars":{"sidereal_longitude":356.078418,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":234.641118,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":274.67121799999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":213.52301799999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":275.52411800000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":59.6017,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":239.6017,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2020,"month":12,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459197.770833,"kali_year":5122,"ahargana":1870732.2708,"sun":{"sidereal_longitude":237.9173,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":230.68,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":352.7627,"elapsed_within_tithi_degrees":4.7627},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2,"moon_longitude":230.68,"elapsed_within_degrees":4.0134},"yoga":{"number":9,"name":"Śūla","sum_longitude":108.5974},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.697,"elongation":7.237},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.697,"opposition_distance":172.763}},"eclipse_window_40days":[{"offset_days":16,"type":"lunar","occurs":true,"moon_latitude":1.091,"opposition_distance":1.549}]},"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":"06:54","sunsetLocal":"18:03","solarNoonLocal":"12:28","dayLengthHours":11.140569802984974,"dayLengthDisplay":"11 Hours 08 Mins 26 Secs","nightLengthDisplay":"12 Hours 51 Mins 34 Secs","moonriseLocal":"06:19","moonsetLocal":"17:28","rahuKala":{"name":"Rāhu Kāla","start":"08:18","end":"09:41","startHours":8.295466494313446,"endHours":9.688037719686568,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:05","end":"12:28","startHours":11.08060894505969,"endHours":12.473180170432812,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:52","end":"15:15","startHours":13.865751395805933,"endHours":15.258322621179055,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:52","startHours":9.502361556303484,"endHours":9.873713883069652,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:22","end":"07:40","startHours":7.367085677398031,"endHours":7.664167538810964,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:51","startHours":12.101827843666644,"endHours":12.844532497198976,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:25","end":"06:10","startHours":5.417485961875661,"endHours":6.160190615407993,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:58","end":"06:54","startHours":5.97451445202491,"endHours":6.902895268940324,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:04","startHours":14.32994180426364,"endHours":15.072646457795972,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:51","end":"18:15","startHours":17.843465071925298,"endHours":18.243465071925296,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:03","end":"18:30","startHours":18.043465071925297,"endHours":18.507655480383004,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:48","end":"19:33","startHours":17.793465071925297,"endHours":19.543465071925297,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:51","startHours":24.101827843666648,"endHours":24.844532497198976,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:54","end":"08:18","startHours":6.902895268940324,"endHours":8.295466494313446,"quality":"auspicious"},{"name":"Kāla","start":"08:18","end":"09:41","startHours":8.295466494313446,"endHours":9.688037719686568,"quality":"inauspicious"},{"name":"Śubha","start":"09:41","end":"11:05","startHours":9.688037719686568,"endHours":11.08060894505969,"quality":"auspicious"},{"name":"Roga","start":"11:05","end":"12:28","startHours":11.08060894505969,"endHours":12.473180170432812,"quality":"inauspicious"},{"name":"Udveg","start":"12:28","end":"13:52","startHours":12.473180170432812,"endHours":13.865751395805933,"quality":"inauspicious"},{"name":"Chala","start":"13:52","end":"15:15","startHours":13.865751395805933,"endHours":15.258322621179055,"quality":"neutral"},{"name":"Labha","start":"15:15","end":"16:39","startHours":15.258322621179055,"endHours":16.650893846552176,"quality":"auspicious"},{"name":"Amṛta","start":"16:39","end":"18:03","startHours":16.650893846552176,"endHours":18.043465071925297,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:03","end":"19:39","startHours":18.043465071925297,"endHours":19.650893846552176,"quality":"neutral"},{"name":"Labha","start":"19:39","end":"21:15","startHours":19.650893846552176,"endHours":21.258322621179055,"quality":"auspicious"},{"name":"Amṛta","start":"21:15","end":"22:52","startHours":21.258322621179055,"endHours":22.86575139580593,"quality":"auspicious"},{"name":"Kāla","start":"22:52","end":"00:28","startHours":22.86575139580593,"endHours":24.473180170432812,"quality":"inauspicious"},{"name":"Śubha","start":"00:28","end":"02:05","startHours":24.473180170432812,"endHours":26.080608945059687,"quality":"auspicious"},{"name":"Roga","start":"02:05","end":"03:41","startHours":26.080608945059687,"endHours":27.688037719686566,"quality":"inauspicious"},{"name":"Udveg","start":"03:41","end":"05:18","startHours":27.688037719686566,"endHours":29.295466494313445,"quality":"inauspicious"},{"name":"Chala","start":"05:18","end":"06:54","startHours":29.295466494313445,"endHours":30.902895268940323,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:54","end":"07:54","startHours":6.902895268940324,"endHours":7.902895268940324,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:54","end":"08:54","startHours":7.902895268940324,"endHours":8.902895268940323,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:54","end":"09:54","startHours":8.902895268940323,"endHours":9.902895268940323,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:54","end":"10:54","startHours":9.902895268940323,"endHours":10.902895268940323,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:54","end":"11:54","startHours":10.902895268940323,"endHours":11.902895268940323,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:54","end":"12:54","startHours":11.902895268940323,"endHours":12.902895268940323,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:54","end":"13:54","startHours":12.902895268940323,"endHours":13.902895268940323,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:54","end":"14:54","startHours":13.902895268940323,"endHours":14.902895268940323,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:54","end":"15:54","startHours":14.902895268940323,"endHours":15.902895268940323,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:54","end":"16:54","startHours":15.902895268940323,"endHours":16.902895268940323,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:54","end":"17:54","startHours":16.902895268940323,"endHours":17.902895268940323,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:54","end":"18:54","startHours":17.902895268940323,"endHours":18.902895268940323,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:54","end":"19:54","startHours":18.902895268940323,"endHours":19.902895268940323,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:54","end":"20:54","startHours":19.902895268940323,"endHours":20.902895268940323,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:54","end":"21:54","startHours":20.902895268940323,"endHours":21.902895268940323,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:54","end":"22:54","startHours":21.902895268940323,"endHours":22.902895268940323,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:54","end":"23:54","startHours":22.902895268940323,"endHours":23.902895268940323,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:54","end":"00:54","startHours":23.902895268940323,"endHours":24.902895268940323,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:54","end":"01:54","startHours":24.902895268940323,"endHours":25.902895268940323,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:54","end":"02:54","startHours":25.902895268940323,"endHours":26.902895268940323,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:54","end":"03:54","startHours":26.902895268940323,"endHours":27.902895268940323,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:54","end":"04:54","startHours":27.902895268940323,"endHours":28.902895268940323,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:54","end":"05:54","startHours":28.902895268940323,"endHours":29.902895268940323,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:54","end":"06:54","startHours":29.902895268940323,"endHours":30.902895268940323,"planetary_lord":"Venus"}],"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":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.224510805967217,"eotMinutes":4.63598977403141,"ayanamsa":24.1457}},"calendars":{"vikram_samvat":2077,"vikram_samvatsara":"Pramādī","saka_samvat":1942,"saka_samvatsara":"Śārvarī","bengali_samvat":1427,"malayalam_era":1196,"nanakshahi_year":551,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Amāvasyā · Vikram 2077 Pramādī · Śaka 1942 Śārvarī"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā + Jyeṣṭhā","url":"/day/-3137-10-20","relevance":1}]},"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 14, 2020 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 14, 2020 CE for Kolhāpur, Maharashtra: Kṛṣṇa Amāvasyā, sūryodaya 06:54, sūryāsta 18:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2020-12-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2020-12-14","sa":"https://sa.vidhyamitra.com/city/kolhapur/2020-12-14","hi":"https://hi.vidhyamitra.com/city/kolhapur/2020-12-14","x-default":"https://vidhyamitra.com/city/kolhapur/2020-12-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T04:04:52.779Z","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":"2026-05-15T04:04:52.779Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T04:04:52.779Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}