{"id":"vidhyamitra:city-day:kolhapur:2003-12-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2003-12-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2003-12-21","date_display":"December 21, 2003 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":2003,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452994.770833,"kali_year":5105,"ahargana":1864529.2708,"sun":{"sidereal_longitude":244.4853,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":213.3638,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.8785,"elapsed_within_tithi_degrees":4.8785},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":213.3638,"elapsed_within_degrees":0.0305},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":97.8492},"karana":{"half_tithi_index":54,"name":"Gara"},"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":2003,"month":12,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452994.770833,"ahargana":1864529.2708,"kali_year":5105,"ayanamsa_lahiri":23.9084,"grahas":{"sun":{"sidereal_longitude":244.83171800000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":211.551918,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false,"latitude":-0.3994},"mars":{"sidereal_longitude":338.606618,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":257.62871800000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":144.72821799999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":275.772918,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":76.62081799999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":28.2665,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":208.2665,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2003,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452994.770833,"kali_year":5105,"ahargana":1864529.2708,"sun":{"sidereal_longitude":244.4853,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":213.3638,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.8785,"elapsed_within_tithi_degrees":4.8785},"nakshatra":{"number":17,"name":"Anurādhā","pada":1,"moon_longitude":213.3638,"elapsed_within_degrees":0.0305},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":97.8492},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.399,"elongation":31.122},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.399,"opposition_distance":148.878}},"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":"06:58","sunsetLocal":"18:06","solarNoonLocal":"12:32","dayLengthHours":11.130928728173004,"dayLengthDisplay":"11 Hours 07 Mins 51 Secs","nightLengthDisplay":"12 Hours 52 Mins 09 Secs","moonriseLocal":"04:40","moonsetLocal":"15:57","rahuKala":{"name":"Rāhu Kāla","start":"16:42","end":"18:06","startHours":16.701501116282504,"endHours":18.09286720730413,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:32","end":"13:55","startHours":12.52740284321763,"endHours":13.918768934239253,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:19","end":"16:42","startHours":15.31013502526088,"endHours":16.701501116282504,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:34","end":"09:56","startHours":9.559155182371494,"endHours":9.93018613997726,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:26","end":"07:43","startHours":7.425727176138335,"endHours":7.722551942222949,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:54","startHours":12.156371885611863,"endHours":12.898433800823396,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:29","end":"06:13","startHours":5.47781464870806,"endHours":6.219876563919593,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:02","end":"06:58","startHours":6.03436108511671,"endHours":6.961938479131127,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:07","startHours":14.382557631246463,"endHours":15.124619546457996,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:54","end":"18:18","startHours":17.892867207304132,"endHours":18.29286720730413,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:06","end":"18:33","startHours":18.09286720730413,"endHours":18.55665590431134,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:51","end":"19:36","startHours":17.84286720730413,"endHours":19.59286720730413,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:54","startHours":24.15637188561186,"endHours":24.898433800823398,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:58","end":"08:21","startHours":6.961938479131127,"endHours":8.353304570152751,"quality":"inauspicious"},{"name":"Chala","start":"08:21","end":"09:45","startHours":8.353304570152751,"endHours":9.744670661174379,"quality":"neutral"},{"name":"Labha","start":"09:45","end":"11:08","startHours":9.744670661174379,"endHours":11.136036752196002,"quality":"auspicious"},{"name":"Amṛta","start":"11:08","end":"12:32","startHours":11.136036752196002,"endHours":12.52740284321763,"quality":"auspicious"},{"name":"Kāla","start":"12:32","end":"13:55","startHours":12.52740284321763,"endHours":13.918768934239253,"quality":"inauspicious"},{"name":"Śubha","start":"13:55","end":"15:19","startHours":13.918768934239253,"endHours":15.31013502526088,"quality":"auspicious"},{"name":"Roga","start":"15:19","end":"16:42","startHours":15.31013502526088,"endHours":16.701501116282504,"quality":"inauspicious"},{"name":"Udveg","start":"16:42","end":"18:06","startHours":16.701501116282504,"endHours":18.09286720730413,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:06","end":"19:42","startHours":18.09286720730413,"endHours":19.701501116282508,"quality":"auspicious"},{"name":"Roga","start":"19:42","end":"21:19","startHours":19.701501116282508,"endHours":21.31013502526088,"quality":"inauspicious"},{"name":"Udveg","start":"21:19","end":"22:55","startHours":21.31013502526088,"endHours":22.918768934239253,"quality":"inauspicious"},{"name":"Chala","start":"22:55","end":"00:32","startHours":22.918768934239253,"endHours":24.52740284321763,"quality":"neutral"},{"name":"Labha","start":"00:32","end":"02:08","startHours":24.52740284321763,"endHours":26.136036752196006,"quality":"auspicious"},{"name":"Amṛta","start":"02:08","end":"03:45","startHours":26.136036752196006,"endHours":27.74467066117438,"quality":"auspicious"},{"name":"Kāla","start":"03:45","end":"05:21","startHours":27.74467066117438,"endHours":29.35330457015275,"quality":"inauspicious"},{"name":"Śubha","start":"05:21","end":"06:58","startHours":29.35330457015275,"endHours":30.961938479131128,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:58","end":"07:58","startHours":6.961938479131127,"endHours":7.961938479131127,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:58","end":"08:58","startHours":7.961938479131127,"endHours":8.961938479131128,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:58","end":"09:58","startHours":8.961938479131128,"endHours":9.961938479131128,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:58","end":"10:58","startHours":9.961938479131128,"endHours":10.961938479131128,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:58","end":"11:58","startHours":10.961938479131128,"endHours":11.961938479131128,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:58","end":"12:58","startHours":11.961938479131128,"endHours":12.961938479131128,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:58","end":"13:58","startHours":12.961938479131128,"endHours":13.961938479131128,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:58","end":"14:58","startHours":13.961938479131128,"endHours":14.961938479131128,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:58","end":"15:58","startHours":14.961938479131128,"endHours":15.961938479131128,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:58","end":"16:58","startHours":15.961938479131128,"endHours":16.961938479131128,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:58","end":"17:58","startHours":16.961938479131128,"endHours":17.961938479131128,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:58","end":"18:58","startHours":17.961938479131128,"endHours":18.961938479131128,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:58","end":"19:58","startHours":18.961938479131128,"endHours":19.961938479131128,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:58","end":"20:58","startHours":19.961938479131128,"endHours":20.961938479131128,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:58","end":"21:58","startHours":20.961938479131128,"endHours":21.961938479131128,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:58","end":"22:58","startHours":21.961938479131128,"endHours":22.961938479131128,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:58","end":"23:58","startHours":22.961938479131128,"endHours":23.961938479131128,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:58","end":"00:58","startHours":23.961938479131128,"endHours":24.961938479131128,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:58","end":"01:58","startHours":24.961938479131128,"endHours":25.961938479131128,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:58","end":"02:58","startHours":25.961938479131128,"endHours":26.961938479131128,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:58","end":"03:58","startHours":26.961938479131128,"endHours":27.961938479131128,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:58","end":"04:58","startHours":27.961938479131128,"endHours":28.961938479131128,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:58","end":"05:58","startHours":28.961938479131128,"endHours":29.961938479131128,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:58","end":"06:58","startHours":29.961938479131128,"endHours":30.961938479131128,"planetary_lord":"Jupiter"}],"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":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","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":-23.430495677161044,"eotMinutes":1.382629406942221,"ayanamsa":23.9084}},"calendars":{"vikram_samvat":2060,"vikram_samvatsara":"Durmukhi","saka_samvat":1925,"saka_samvatsara":"Subhānu","bengali_samvat":1410,"malayalam_era":1179,"nanakshahi_year":534,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Trayodaśī · Vikram 2060 Durmukhi · Śaka 1925 Subhānu"},"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":"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 December 21, 2003 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 21, 2003 CE for Kolhāpur, Maharashtra: Kṛṣṇa Trayodaśī, sūryodaya 06:58, sūryāsta 18:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2003-12-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2003-12-21","sa":"https://sa.vidhyamitra.com/city/kolhapur/2003-12-21","hi":"https://hi.vidhyamitra.com/city/kolhapur/2003-12-21","x-default":"https://vidhyamitra.com/city/kolhapur/2003-12-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T09:45:22.345Z","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":"2026-05-17T09:45:22.346Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T09:45:22.346Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}