{"id":"vidhyamitra:city-day:kolhapur:2187-12-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2187-12-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2187-12-03","date_display":"December 3, 2187 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":2187,"month":12,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2520181.770833,"kali_year":5289,"ahargana":1931716.2708,"sun":{"sidereal_longitude":223.3719,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":260.1735,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":36.8015,"elapsed_within_tithi_degrees":0.8015},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":260.1735,"elapsed_within_degrees":6.8402},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":123.5454},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":2187,"month":12,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2520181.770833,"ahargana":1931716.2708,"kali_year":5289,"ayanamsa_lahiri":26.4781,"grahas":{"sun":{"sidereal_longitude":224.32968099999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":259.45958100000007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false,"latitude":-0.9191},"mars":{"sidereal_longitude":264.800981,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":240.07558100000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":296.79848100000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":260.814381,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":172.53298100000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":68.3759,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":248.3759,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2187,"month":12,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2520181.770833,"kali_year":5289,"ahargana":1931716.2708,"sun":{"sidereal_longitude":223.3719,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":260.1735,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":36.8015,"elapsed_within_tithi_degrees":0.8015},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":260.1735,"elapsed_within_degrees":6.8402},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":123.5454},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.919,"elongation":36.802},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.919,"opposition_distance":143.198}},"eclipse_window_40days":[{"offset_days":13,"type":"lunar","occurs":true,"moon_latitude":-0.699,"opposition_distance":2.066}]},"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":"06:48","sunsetLocal":"17:59","solarNoonLocal":"12:24","dayLengthHours":11.194391830883053,"dayLengthDisplay":"11 Hours 11 Mins 40 Secs","nightLengthDisplay":"12 Hours 48 Mins 20 Secs","moonriseLocal":"09:10","moonsetLocal":"20:18","rahuKala":{"name":"Rāhu Kāla","start":"08:12","end":"09:36","startHours":8.196569281241223,"endHours":9.595868260101604,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:00","end":"12:24","startHours":10.995167238961987,"endHours":12.394466217822366,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:48","end":"15:12","startHours":13.793765196682749,"endHours":15.193064175543132,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:25","end":"09:47","startHours":9.409295062920219,"endHours":9.782441457282989,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:16","end":"07:34","startHours":7.263703295334301,"endHours":7.562220410824516,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:46","startHours":12.0213198234596,"endHours":12.767612612185136,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:18","end":"06:03","startHours":5.304684724929767,"endHours":6.050977513655304,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:52","end":"06:48","startHours":5.8644043164739195,"endHours":6.7972703023808405,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"15:00","startHours":14.26019818963621,"endHours":15.006490978361747,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:47","end":"18:11","startHours":17.791662133263895,"endHours":18.191662133263893,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:59","end":"18:27","startHours":17.991662133263894,"endHours":18.458095126217355,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:44","end":"19:29","startHours":17.741662133263894,"endHours":19.491662133263894,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:46","startHours":24.0213198234596,"endHours":24.76761261218514,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:48","end":"08:12","startHours":6.7972703023808405,"endHours":8.196569281241223,"quality":"auspicious"},{"name":"Kāla","start":"08:12","end":"09:36","startHours":8.196569281241223,"endHours":9.595868260101604,"quality":"inauspicious"},{"name":"Śubha","start":"09:36","end":"11:00","startHours":9.595868260101604,"endHours":10.995167238961987,"quality":"auspicious"},{"name":"Roga","start":"11:00","end":"12:24","startHours":10.995167238961987,"endHours":12.394466217822366,"quality":"inauspicious"},{"name":"Udveg","start":"12:24","end":"13:48","startHours":12.394466217822366,"endHours":13.793765196682749,"quality":"inauspicious"},{"name":"Chala","start":"13:48","end":"15:12","startHours":13.793765196682749,"endHours":15.193064175543132,"quality":"neutral"},{"name":"Labha","start":"15:12","end":"16:36","startHours":15.193064175543132,"endHours":16.59236315440351,"quality":"auspicious"},{"name":"Amṛta","start":"16:36","end":"17:59","startHours":16.59236315440351,"endHours":17.991662133263894,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:59","end":"19:36","startHours":17.991662133263894,"endHours":19.59236315440351,"quality":"neutral"},{"name":"Labha","start":"19:36","end":"21:12","startHours":19.59236315440351,"endHours":21.19306417554313,"quality":"auspicious"},{"name":"Amṛta","start":"21:12","end":"22:48","startHours":21.19306417554313,"endHours":22.79376519668275,"quality":"auspicious"},{"name":"Kāla","start":"22:48","end":"00:24","startHours":22.79376519668275,"endHours":24.39446621782237,"quality":"inauspicious"},{"name":"Śubha","start":"00:24","end":"02:00","startHours":24.39446621782237,"endHours":25.995167238961987,"quality":"auspicious"},{"name":"Roga","start":"02:00","end":"03:36","startHours":25.995167238961987,"endHours":27.595868260101604,"quality":"inauspicious"},{"name":"Udveg","start":"03:36","end":"05:12","startHours":27.595868260101604,"endHours":29.196569281241224,"quality":"inauspicious"},{"name":"Chala","start":"05:12","end":"06:48","startHours":29.196569281241224,"endHours":30.79727030238084,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:48","end":"07:48","startHours":6.7972703023808405,"endHours":7.7972703023808405,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:48","end":"08:48","startHours":7.7972703023808405,"endHours":8.797270302380841,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:48","end":"09:48","startHours":8.797270302380841,"endHours":9.797270302380841,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:48","end":"10:48","startHours":9.797270302380841,"endHours":10.797270302380841,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:48","end":"11:48","startHours":10.797270302380841,"endHours":11.797270302380841,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:48","end":"12:48","startHours":11.797270302380841,"endHours":12.797270302380841,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:48","end":"13:48","startHours":12.797270302380841,"endHours":13.797270302380841,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:48","end":"14:48","startHours":13.797270302380841,"endHours":14.797270302380841,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:48","end":"15:48","startHours":14.797270302380841,"endHours":15.797270302380841,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:48","end":"16:48","startHours":15.797270302380841,"endHours":16.79727030238084,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:48","end":"17:48","startHours":16.79727030238084,"endHours":17.79727030238084,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:48","end":"18:48","startHours":17.79727030238084,"endHours":18.79727030238084,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:48","end":"19:48","startHours":18.79727030238084,"endHours":19.79727030238084,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:48","end":"20:48","startHours":19.79727030238084,"endHours":20.79727030238084,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:48","end":"21:48","startHours":20.79727030238084,"endHours":21.79727030238084,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:48","end":"22:48","startHours":21.79727030238084,"endHours":22.79727030238084,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:48","end":"23:48","startHours":22.79727030238084,"endHours":23.79727030238084,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:48","end":"00:48","startHours":23.79727030238084,"endHours":24.79727030238084,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:48","end":"01:48","startHours":24.79727030238084,"endHours":25.79727030238084,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:48","end":"02:48","startHours":25.79727030238084,"endHours":26.79727030238084,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:48","end":"03:48","startHours":26.79727030238084,"endHours":27.79727030238084,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:48","end":"04:48","startHours":27.79727030238084,"endHours":28.79727030238084,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:48","end":"05:48","startHours":28.79727030238084,"endHours":29.79727030238084,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:48","end":"06:48","startHours":29.79727030238084,"endHours":30.79727030238084,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.063064245693567,"eotMinutes":9.35882693065794,"ayanamsa":26.4781}},"calendars":{"vikram_samvat":2244,"vikram_samvatsara":"Śārvarī","saka_samvat":2109,"saka_samvatsara":"Sarvajit","bengali_samvat":1594,"malayalam_era":1363,"nanakshahi_year":718,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Caturthī · Vikram 2244 Śārvarī · Śaka 2109 Sarvajit"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":[]},"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 3, 2187 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 3, 2187 CE for Kolhāpur, Maharashtra: Śukla Caturthī, sūryodaya 06:48, sūryāsta 17:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2187-12-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2187-12-03","sa":"https://sa.vidhyamitra.com/city/kolhapur/2187-12-03","hi":"https://hi.vidhyamitra.com/city/kolhapur/2187-12-03","x-default":"https://vidhyamitra.com/city/kolhapur/2187-12-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T06:17:20.403Z","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":"2026-05-31T06:17:20.403Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T06:17:20.403Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}