{"id":"vidhyamitra:city-day:kolhapur:2163-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2163-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2163-12-20","date_display":"December 20, 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":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511432.770833,"kali_year":5265,"ahargana":1922967.2708,"sun":{"sidereal_longitude":240.9933,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":169.1994,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":288.2061,"elapsed_within_tithi_degrees":0.2061},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.1994,"elapsed_within_degrees":9.1994},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":50.1927},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"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":2163,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511432.770833,"ahargana":1922967.2708,"kali_year":5265,"ayanamsa_lahiri":26.1435,"grahas":{"sun":{"sidereal_longitude":241.74805700000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":166.49555699999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false,"latitude":-0.2149},"mars":{"sidereal_longitude":17.11715700000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":220.35945700000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":291.94755699999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"venus":{"sidereal_longitude":280.279457,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":231.36005699999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":171.94,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":351.94,"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":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511432.770833,"kali_year":5265,"ahargana":1922967.2708,"sun":{"sidereal_longitude":240.9933,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":169.1994,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":288.2061,"elapsed_within_tithi_degrees":0.2061},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.1994,"elapsed_within_degrees":9.1994},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":50.1927},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.215,"elongation":71.794},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.215,"opposition_distance":108.206}},"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":11.131435424914462,"dayLengthDisplay":"11 Hours 07 Mins 53 Secs","nightLengthDisplay":"12 Hours 52 Mins 07 Secs","moonriseLocal":"01:34","moonsetLocal":"13:27","rahuKala":{"name":"Rāhu Kāla","start":"15:18","end":"16:42","startHours":15.302440230854137,"endHours":16.693869658968445,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:44","end":"11:08","startHours":9.736722518396906,"endHours":11.128151946511213,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:31","end":"13:55","startHours":12.51958137462552,"endHours":13.91101080273983,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:33","end":"09:55","startHours":9.551198594648332,"endHours":9.92224644214548,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:25","end":"07:43","startHours":7.417673471539726,"endHours":7.714511749537445,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:53","startHours":12.148533527128372,"endHours":12.89062922212267,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:28","end":"06:13","startHours":5.469672272179695,"endHours":6.2117679671739925,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:02","end":"06:57","startHours":6.026244043425418,"endHours":6.95386366216829,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:07","startHours":14.374820612111264,"endHours":15.116916307105562,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:53","end":"18:17","startHours":17.885299087082753,"endHours":18.285299087082752,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:05","end":"18:33","startHours":18.085299087082753,"endHours":18.54910889645419,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:50","end":"19:35","startHours":17.835299087082753,"endHours":19.585299087082753,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:53","startHours":24.14853352712837,"endHours":24.89062922212267,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:57","end":"08:21","startHours":6.95386366216829,"endHours":8.345293090282597,"quality":"inauspicious"},{"name":"Udveg","start":"08:21","end":"09:44","startHours":8.345293090282597,"endHours":9.736722518396906,"quality":"inauspicious"},{"name":"Chala","start":"09:44","end":"11:08","startHours":9.736722518396906,"endHours":11.128151946511213,"quality":"neutral"},{"name":"Labha","start":"11:08","end":"12:31","startHours":11.128151946511213,"endHours":12.51958137462552,"quality":"auspicious"},{"name":"Amṛta","start":"12:31","end":"13:55","startHours":12.51958137462552,"endHours":13.91101080273983,"quality":"auspicious"},{"name":"Kāla","start":"13:55","end":"15:18","startHours":13.91101080273983,"endHours":15.302440230854137,"quality":"inauspicious"},{"name":"Śubha","start":"15:18","end":"16:42","startHours":15.302440230854137,"endHours":16.693869658968445,"quality":"auspicious"},{"name":"Roga","start":"16:42","end":"18:05","startHours":16.693869658968445,"endHours":18.085299087082753,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:05","end":"19:42","startHours":18.085299087082753,"endHours":19.693869658968445,"quality":"inauspicious"},{"name":"Śubha","start":"19:42","end":"21:18","startHours":19.693869658968445,"endHours":21.30244023085414,"quality":"auspicious"},{"name":"Roga","start":"21:18","end":"22:55","startHours":21.30244023085414,"endHours":22.91101080273983,"quality":"inauspicious"},{"name":"Udveg","start":"22:55","end":"00:31","startHours":22.91101080273983,"endHours":24.51958137462552,"quality":"inauspicious"},{"name":"Chala","start":"00:31","end":"02:08","startHours":24.51958137462552,"endHours":26.128151946511213,"quality":"neutral"},{"name":"Labha","start":"02:08","end":"03:44","startHours":26.128151946511213,"endHours":27.736722518396906,"quality":"auspicious"},{"name":"Amṛta","start":"03:44","end":"05:21","startHours":27.736722518396906,"endHours":29.345293090282595,"quality":"auspicious"},{"name":"Kāla","start":"05:21","end":"06:57","startHours":29.345293090282595,"endHours":30.95386366216829,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:57","end":"07:57","startHours":6.95386366216829,"endHours":7.95386366216829,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:57","end":"08:57","startHours":7.95386366216829,"endHours":8.95386366216829,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:57","end":"09:57","startHours":8.95386366216829,"endHours":9.95386366216829,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:57","end":"10:57","startHours":9.95386366216829,"endHours":10.95386366216829,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:57","end":"11:57","startHours":10.95386366216829,"endHours":11.95386366216829,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:57","end":"12:57","startHours":11.95386366216829,"endHours":12.95386366216829,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:57","end":"13:57","startHours":12.95386366216829,"endHours":13.95386366216829,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:57","end":"14:57","startHours":13.95386366216829,"endHours":14.95386366216829,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:57","end":"15:57","startHours":14.95386366216829,"endHours":15.95386366216829,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:57","end":"16:57","startHours":15.95386366216829,"endHours":16.95386366216829,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:57","end":"17:57","startHours":16.95386366216829,"endHours":17.95386366216829,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:57","end":"18:57","startHours":17.95386366216829,"endHours":18.95386366216829,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:57","end":"19:57","startHours":18.95386366216829,"endHours":19.95386366216829,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:57","end":"20:57","startHours":19.95386366216829,"endHours":20.95386366216829,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:57","end":"21:57","startHours":20.95386366216829,"endHours":21.95386366216829,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:57","end":"22:57","startHours":21.95386366216829,"endHours":22.95386366216829,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:57","end":"23:57","startHours":22.95386366216829,"endHours":23.95386366216829,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:57","end":"00:57","startHours":23.95386366216829,"endHours":24.95386366216829,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:57","end":"01:57","startHours":24.95386366216829,"endHours":25.95386366216829,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:57","end":"02:57","startHours":25.95386366216829,"endHours":26.95386366216829,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:57","end":"03:57","startHours":26.95386366216829,"endHours":27.95386366216829,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:57","end":"04:57","startHours":27.95386366216829,"endHours":28.95386366216829,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:57","end":"05:57","startHours":28.95386366216829,"endHours":29.95386366216829,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:57","end":"06:57","startHours":29.95386366216829,"endHours":30.95386366216829,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.41968570132287,"eotMinutes":1.851917522468745,"ayanamsa":26.1435}},"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":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Daśamī · Vikram 2220 Dhātṛ · Śaka 2085 Rudhirodgāri"},"festivals":[],"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, 2163 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 20, 2163 CE for Kolhāpur, Maharashtra: Kṛṣṇa Daśamī, sūryodaya 06:57, sūryāsta 18:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2163-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2163-12-20","sa":"https://sa.vidhyamitra.com/city/kolhapur/2163-12-20","hi":"https://hi.vidhyamitra.com/city/kolhapur/2163-12-20","x-default":"https://vidhyamitra.com/city/kolhapur/2163-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T19:51:11.951Z","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":"2026-05-31T19:51:11.951Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T19:51:11.951Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}