{"id":"vidhyamitra:city-day:kolhapur:2163-12-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2163-12-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2163-12-14","date_display":"December 14, 2163 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":2163,"month":12,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511426.770833,"kali_year":5265,"ahargana":1922961.2708,"sun":{"sidereal_longitude":234.8392,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":94.8906,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":220.0513,"elapsed_within_tithi_degrees":4.0513},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":94.8906,"elapsed_within_degrees":1.5572},"yoga":{"number":25,"name":"Brahma","sum_longitude":329.7298},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2163,"month":12,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511426.770833,"ahargana":1922961.2708,"kali_year":5265,"ayanamsa_lahiri":26.1433,"grahas":{"sun":{"sidereal_longitude":235.64678600000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":92.19718599999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":-4.3908},"mars":{"sidereal_longitude":17.220686,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":212.71458600000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":290.838086,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"venus":{"sidereal_longitude":273.0991859999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":230.653686,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":172.2579,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":352.2579,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"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":2163,"month":12,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511426.770833,"kali_year":5265,"ahargana":1922961.2708,"sun":{"sidereal_longitude":234.8392,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":94.8906,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":220.0513,"elapsed_within_tithi_degrees":4.0513},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":94.8906,"elapsed_within_degrees":1.5572},"yoga":{"number":25,"name":"Brahma","sum_longitude":329.7298},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.391,"elongation":139.949},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.391,"opposition_distance":40.051}},"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":"06:54","sunsetLocal":"18:03","solarNoonLocal":"12:28","dayLengthHours":11.142546579512487,"dayLengthDisplay":"11 Hours 08 Mins 33 Secs","nightLengthDisplay":"12 Hours 51 Mins 27 Secs","moonriseLocal":"20:26","moonsetLocal":"09:23","rahuKala":{"name":"Rāhu Kāla","start":"12:28","end":"13:52","startHours":12.473180170432812,"endHours":13.86599849287187,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:18","end":"09:41","startHours":8.294725203115629,"endHours":9.68754352555469,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:05","end":"12:28","startHours":11.08036184799375,"endHours":12.473180170432812,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:52","startHours":9.501834415896148,"endHours":9.87325263521323,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:22","end":"07:40","startHours":7.366179654822921,"endHours":7.663314230276588,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:51","startHours":12.101761951115728,"endHours":12.844598389749892,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:25","end":"06:10","startHours":5.416234003408236,"endHours":6.159070442042402,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:58","end":"06:54","startHours":5.973361332383861,"endHours":6.9019068806765675,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:04","startHours":14.330271267018226,"endHours":15.073107705652392,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:51","end":"18:15","startHours":17.844453460189055,"endHours":18.244453460189053,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:03","end":"18:31","startHours":18.044453460189054,"endHours":18.50872623433541,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:48","end":"19:33","startHours":17.794453460189054,"endHours":19.544453460189054,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:51","startHours":24.10176195111573,"endHours":24.844598389749894,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:54","end":"08:18","startHours":6.9019068806765675,"endHours":8.294725203115629,"quality":"auspicious"},{"name":"Amṛta","start":"08:18","end":"09:41","startHours":8.294725203115629,"endHours":9.68754352555469,"quality":"auspicious"},{"name":"Kāla","start":"09:41","end":"11:05","startHours":9.68754352555469,"endHours":11.08036184799375,"quality":"inauspicious"},{"name":"Śubha","start":"11:05","end":"12:28","startHours":11.08036184799375,"endHours":12.473180170432812,"quality":"auspicious"},{"name":"Roga","start":"12:28","end":"13:52","startHours":12.473180170432812,"endHours":13.86599849287187,"quality":"inauspicious"},{"name":"Udveg","start":"13:52","end":"15:16","startHours":13.86599849287187,"endHours":15.258816815310933,"quality":"inauspicious"},{"name":"Chala","start":"15:16","end":"16:39","startHours":15.258816815310933,"endHours":16.651635137749995,"quality":"neutral"},{"name":"Labha","start":"16:39","end":"18:03","startHours":16.651635137749995,"endHours":18.044453460189054,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:03","end":"19:39","startHours":18.044453460189054,"endHours":19.65163513774999,"quality":"inauspicious"},{"name":"Chala","start":"19:39","end":"21:16","startHours":19.65163513774999,"endHours":21.258816815310933,"quality":"neutral"},{"name":"Labha","start":"21:16","end":"22:52","startHours":21.258816815310933,"endHours":22.86599849287187,"quality":"auspicious"},{"name":"Amṛta","start":"22:52","end":"00:28","startHours":22.86599849287187,"endHours":24.473180170432812,"quality":"auspicious"},{"name":"Kāla","start":"00:28","end":"02:05","startHours":24.473180170432812,"endHours":26.08036184799375,"quality":"inauspicious"},{"name":"Śubha","start":"02:05","end":"03:41","startHours":26.08036184799375,"endHours":27.687543525554688,"quality":"auspicious"},{"name":"Roga","start":"03:41","end":"05:18","startHours":27.687543525554688,"endHours":29.294725203115625,"quality":"inauspicious"},{"name":"Udveg","start":"05:18","end":"06:54","startHours":29.294725203115625,"endHours":30.901906880676567,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:54","end":"07:54","startHours":6.9019068806765675,"endHours":7.9019068806765675,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:54","end":"08:54","startHours":7.9019068806765675,"endHours":8.901906880676567,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:54","end":"09:54","startHours":8.901906880676567,"endHours":9.901906880676567,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:54","end":"10:54","startHours":9.901906880676567,"endHours":10.901906880676567,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:54","end":"11:54","startHours":10.901906880676567,"endHours":11.901906880676567,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:54","end":"12:54","startHours":11.901906880676567,"endHours":12.901906880676567,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:54","end":"13:54","startHours":12.901906880676567,"endHours":13.901906880676567,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:54","end":"14:54","startHours":13.901906880676567,"endHours":14.901906880676567,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:54","end":"15:54","startHours":14.901906880676567,"endHours":15.901906880676567,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:54","end":"16:54","startHours":15.901906880676567,"endHours":16.901906880676567,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:54","end":"17:54","startHours":16.901906880676567,"endHours":17.901906880676567,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:54","end":"18:54","startHours":17.901906880676567,"endHours":18.901906880676567,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:54","end":"19:54","startHours":18.901906880676567,"endHours":19.901906880676567,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:54","end":"20:54","startHours":19.901906880676567,"endHours":20.901906880676567,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:54","end":"21:54","startHours":20.901906880676567,"endHours":21.901906880676567,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:54","end":"22:54","startHours":21.901906880676567,"endHours":22.901906880676567,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:54","end":"23:54","startHours":22.901906880676567,"endHours":23.901906880676567,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:54","end":"00:54","startHours":23.901906880676567,"endHours":24.901906880676567,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:54","end":"01:54","startHours":24.901906880676567,"endHours":25.901906880676567,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:54","end":"02:54","startHours":25.901906880676567,"endHours":26.901906880676567,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:54","end":"03:54","startHours":26.901906880676567,"endHours":27.901906880676567,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:54","end":"04:54","startHours":27.901906880676567,"endHours":28.901906880676567,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:54","end":"05:54","startHours":28.901906880676567,"endHours":29.901906880676567,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:54","end":"06:54","startHours":29.901906880676567,"endHours":30.901906880676567,"planetary_lord":"Sun"}],"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","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Śubha","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":-23.18219816488793,"eotMinutes":4.63598977403141,"ayanamsa":26.1433}},"calendars":{"vikram_samvat":2220,"vikram_samvatsara":"Dhātṛ","saka_samvat":2085,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1570,"malayalam_era":1339,"nanakshahi_year":694,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Pauṣa Kṛṣṇa Caturthī · Vikram 2220 Dhātṛ · Śaka 2085 Rudhirodgāri"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 14, 2163 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 14, 2163 CE for Kolhāpur, Maharashtra: Kṛṣṇa Caturthī, sūryodaya 06:54, sūryāsta 18:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2163-12-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2163-12-14","sa":"https://sa.vidhyamitra.com/city/kolhapur/2163-12-14","hi":"https://hi.vidhyamitra.com/city/kolhapur/2163-12-14","x-default":"https://vidhyamitra.com/city/kolhapur/2163-12-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T02:54:23.503Z","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":"2026-06-02T02:54:23.503Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T02:54:23.503Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}