{"id":"vidhyamitra:city-day:kolhapur:2033-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2033-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2033-12-20","date_display":"December 20, 2033 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":2033,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463951.770833,"kali_year":5135,"ahargana":1875486.2708,"sun":{"sidereal_longitude":243.702,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":222.7456,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":339.0436,"elapsed_within_tithi_degrees":3.0436},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":222.7456,"elapsed_within_degrees":9.4123},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":106.4477},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2033,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463951.770833,"ahargana":1875486.2708,"kali_year":5135,"ayanamsa_lahiri":24.3275,"grahas":{"sun":{"sidereal_longitude":244.12598000000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":224.08238000000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false,"latitude":3.6865},"mars":{"sidereal_longitude":318.33768,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":241.62238000000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":307.7858799999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":240.04718000000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":84.73658,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":167.7119,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":347.7119,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"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":2033,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463951.770833,"kali_year":5135,"ahargana":1875486.2708,"sun":{"sidereal_longitude":243.702,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":222.7456,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":339.0436,"elapsed_within_tithi_degrees":3.0436},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":222.7456,"elapsed_within_degrees":9.4123},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":106.4477},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.686,"elongation":20.956},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.686,"opposition_distance":159.044}},"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":11.131071353087087,"dayLengthDisplay":"11 Hours 07 Mins 52 Secs","nightLengthDisplay":"12 Hours 52 Mins 08 Secs","moonriseLocal":"05:36","moonsetLocal":"16:46","rahuKala":{"name":"Rāhu Kāla","start":"15:18","end":"16:42","startHours":15.302349212897292,"endHours":16.693733132033177,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:44","end":"11:08","startHours":9.736813536353749,"endHours":11.128197455489634,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:31","end":"13:55","startHours":12.51958137462552,"endHours":13.910965293761407,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:33","end":"09:55","startHours":9.551295680468964,"endHours":9.922331392238533,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:25","end":"07:43","startHours":7.417840337793939,"endHours":7.714668907209594,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:53","startHours":12.14854566285595,"endHours":12.89061708639509,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:28","end":"06:13","startHours":5.469902851003699,"endHours":6.211974274542838,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:02","end":"06:57","startHours":6.026456418658053,"endHours":6.954045698081977,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:07","startHours":14.374759933473367,"endHours":15.116831357012506,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:53","end":"18:17","startHours":17.885117051169065,"endHours":18.285117051169063,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:05","end":"18:33","startHours":18.085117051169064,"endHours":18.548911690881027,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:50","end":"19:35","startHours":17.835117051169064,"endHours":19.585117051169064,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:53","startHours":24.148545662855952,"endHours":24.89061708639509,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:57","end":"08:21","startHours":6.954045698081977,"endHours":8.345429617217864,"quality":"inauspicious"},{"name":"Udveg","start":"08:21","end":"09:44","startHours":8.345429617217864,"endHours":9.736813536353749,"quality":"inauspicious"},{"name":"Chala","start":"09:44","end":"11:08","startHours":9.736813536353749,"endHours":11.128197455489634,"quality":"neutral"},{"name":"Labha","start":"11:08","end":"12:31","startHours":11.128197455489634,"endHours":12.51958137462552,"quality":"auspicious"},{"name":"Amṛta","start":"12:31","end":"13:55","startHours":12.51958137462552,"endHours":13.910965293761407,"quality":"auspicious"},{"name":"Kāla","start":"13:55","end":"15:18","startHours":13.910965293761407,"endHours":15.302349212897292,"quality":"inauspicious"},{"name":"Śubha","start":"15:18","end":"16:42","startHours":15.302349212897292,"endHours":16.693733132033177,"quality":"auspicious"},{"name":"Roga","start":"16:42","end":"18:05","startHours":16.693733132033177,"endHours":18.085117051169064,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:05","end":"19:42","startHours":18.085117051169064,"endHours":19.693733132033177,"quality":"inauspicious"},{"name":"Śubha","start":"19:42","end":"21:18","startHours":19.693733132033177,"endHours":21.30234921289729,"quality":"auspicious"},{"name":"Roga","start":"21:18","end":"22:55","startHours":21.30234921289729,"endHours":22.910965293761407,"quality":"inauspicious"},{"name":"Udveg","start":"22:55","end":"00:31","startHours":22.910965293761407,"endHours":24.51958137462552,"quality":"inauspicious"},{"name":"Chala","start":"00:31","end":"02:08","startHours":24.51958137462552,"endHours":26.128197455489634,"quality":"neutral"},{"name":"Labha","start":"02:08","end":"03:44","startHours":26.128197455489634,"endHours":27.73681353635375,"quality":"auspicious"},{"name":"Amṛta","start":"03:44","end":"05:21","startHours":27.73681353635375,"endHours":29.345429617217864,"quality":"auspicious"},{"name":"Kāla","start":"05:21","end":"06:57","startHours":29.345429617217864,"endHours":30.954045698081977,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:57","end":"07:57","startHours":6.954045698081977,"endHours":7.954045698081977,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:57","end":"08:57","startHours":7.954045698081977,"endHours":8.954045698081977,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:57","end":"09:57","startHours":8.954045698081977,"endHours":9.954045698081977,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:57","end":"10:57","startHours":9.954045698081977,"endHours":10.954045698081977,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:57","end":"11:57","startHours":10.954045698081977,"endHours":11.954045698081977,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:57","end":"12:57","startHours":11.954045698081977,"endHours":12.954045698081977,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:57","end":"13:57","startHours":12.954045698081977,"endHours":13.954045698081977,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:57","end":"14:57","startHours":13.954045698081977,"endHours":14.954045698081977,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:57","end":"15:57","startHours":14.954045698081977,"endHours":15.954045698081977,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:57","end":"16:57","startHours":15.954045698081977,"endHours":16.954045698081977,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:57","end":"17:57","startHours":16.954045698081977,"endHours":17.954045698081977,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:57","end":"18:57","startHours":17.954045698081977,"endHours":18.954045698081977,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:57","end":"19:57","startHours":18.954045698081977,"endHours":19.954045698081977,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:57","end":"20:57","startHours":19.954045698081977,"endHours":20.954045698081977,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:57","end":"21:57","startHours":20.954045698081977,"endHours":21.954045698081977,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:57","end":"22:57","startHours":21.954045698081977,"endHours":22.954045698081977,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:57","end":"23:57","startHours":22.954045698081977,"endHours":23.954045698081977,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:57","end":"00:57","startHours":23.954045698081977,"endHours":24.954045698081977,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:57","end":"01:57","startHours":24.954045698081977,"endHours":25.954045698081977,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:57","end":"02:57","startHours":25.954045698081977,"endHours":26.954045698081977,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:57","end":"03:57","startHours":26.954045698081977,"endHours":27.954045698081977,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:57","end":"04:57","startHours":27.954045698081977,"endHours":28.954045698081977,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:57","end":"05:57","startHours":28.954045698081977,"endHours":29.954045698081977,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:57","end":"06:57","startHours":29.954045698081977,"endHours":30.954045698081977,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"North","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"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":-23.427453064200602,"eotMinutes":1.851917522468745,"ayanamsa":24.3275}},"calendars":{"vikram_samvat":2090,"vikram_samvatsara":"Akṣaya","saka_samvat":1955,"saka_samvatsara":"Pramādī","bengali_samvat":1440,"malayalam_era":1209,"nanakshahi_year":564,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Caturdaśī · Vikram 2090 Akṣaya · Śaka 1955 Pramādī"},"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},{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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, 2033 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 20, 2033 CE for Kolhāpur, Maharashtra: Kṛṣṇa Caturdaśī, sūryodaya 06:57, sūryāsta 18:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2033-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2033-12-20","sa":"https://sa.vidhyamitra.com/city/kolhapur/2033-12-20","hi":"https://hi.vidhyamitra.com/city/kolhapur/2033-12-20","x-default":"https://vidhyamitra.com/city/kolhapur/2033-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T10:25:23.804Z","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":"2026-05-15T10:25:23.804Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T10:25:23.804Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}