{"id":"vidhyamitra:city-day:kolhapur:2145-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2145-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2145-12-15","date_display":"December 15, 2145 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":2145,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2504853.770833,"kali_year":5247,"ahargana":1916388.2708,"sun":{"sidereal_longitude":236.5385,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":246.9104,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":10.3719,"elapsed_within_tithi_degrees":10.3719},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":246.9104,"elapsed_within_degrees":6.9104},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":123.4488},"karana":{"half_tithi_index":1,"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":2145,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2504853.770833,"ahargana":1916388.2708,"kali_year":5247,"ayanamsa_lahiri":25.8919,"grahas":{"sun":{"sidereal_longitude":237.28892300000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":248.7236230000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false,"latitude":4.491},"mars":{"sidereal_longitude":198.361223,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":232.14672300000007,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":132.48632299999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":238.90082299999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":358.502023,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":160.5271,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":340.5271,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":2145,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2504853.770833,"kali_year":5247,"ahargana":1916388.2708,"sun":{"sidereal_longitude":236.5385,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":246.9104,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":10.3719,"elapsed_within_tithi_degrees":10.3719},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":246.9104,"elapsed_within_degrees":6.9104},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":123.4488},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.491,"elongation":10.372},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.491,"opposition_distance":169.628}},"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":"06:55","sunsetLocal":"18:03","solarNoonLocal":"12:29","dayLengthHours":11.13886821228003,"dayLengthDisplay":"11 Hours 08 Mins 20 Secs","nightLengthDisplay":"12 Hours 51 Mins 40 Secs","moonriseLocal":"07:42","moonsetLocal":"18:47","rahuKala":{"name":"Rāhu Kāla","start":"12:29","end":"13:52","startHours":12.48081441610713,"endHours":13.873172942642132,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:18","end":"09:42","startHours":8.303738836502117,"endHours":9.696097363037122,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:05","end":"12:29","startHours":11.088455889572124,"endHours":12.48081441610713,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:53","startHours":9.51044955949912,"endHours":9.881745166575122,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:23","end":"07:40","startHours":7.375499818812115,"endHours":7.672536304472915,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:51","startHours":12.109518809031128,"endHours":12.852110023183132,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:26","end":"06:10","startHours":5.42619788166311,"endHours":6.168789095815112,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:59","end":"06:55","startHours":5.983141292277111,"endHours":6.911380309967114,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:05","startHours":14.337292451487134,"endHours":15.079883665639136,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:51","end":"18:15","startHours":17.850248522247146,"endHours":18.250248522247144,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:03","end":"18:31","startHours":18.050248522247145,"endHours":18.514368031092147,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:48","end":"19:33","startHours":17.800248522247145,"endHours":19.550248522247145,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:51","startHours":24.10951880903113,"endHours":24.85211002318313,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:55","end":"08:18","startHours":6.911380309967114,"endHours":8.303738836502117,"quality":"auspicious"},{"name":"Amṛta","start":"08:18","end":"09:42","startHours":8.303738836502117,"endHours":9.696097363037122,"quality":"auspicious"},{"name":"Kāla","start":"09:42","end":"11:05","startHours":9.696097363037122,"endHours":11.088455889572124,"quality":"inauspicious"},{"name":"Śubha","start":"11:05","end":"12:29","startHours":11.088455889572124,"endHours":12.48081441610713,"quality":"auspicious"},{"name":"Roga","start":"12:29","end":"13:52","startHours":12.48081441610713,"endHours":13.873172942642132,"quality":"inauspicious"},{"name":"Udveg","start":"13:52","end":"15:16","startHours":13.873172942642132,"endHours":15.265531469177137,"quality":"inauspicious"},{"name":"Chala","start":"15:16","end":"16:39","startHours":15.265531469177137,"endHours":16.65788999571214,"quality":"neutral"},{"name":"Labha","start":"16:39","end":"18:03","startHours":16.65788999571214,"endHours":18.050248522247145,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:03","end":"19:39","startHours":18.050248522247145,"endHours":19.65788999571214,"quality":"inauspicious"},{"name":"Chala","start":"19:39","end":"21:16","startHours":19.65788999571214,"endHours":21.265531469177137,"quality":"neutral"},{"name":"Labha","start":"21:16","end":"22:52","startHours":21.265531469177137,"endHours":22.873172942642135,"quality":"auspicious"},{"name":"Amṛta","start":"22:52","end":"00:29","startHours":22.873172942642135,"endHours":24.48081441610713,"quality":"auspicious"},{"name":"Kāla","start":"00:29","end":"02:05","startHours":24.48081441610713,"endHours":26.088455889572124,"quality":"inauspicious"},{"name":"Śubha","start":"02:05","end":"03:42","startHours":26.088455889572124,"endHours":27.696097363037122,"quality":"auspicious"},{"name":"Roga","start":"03:42","end":"05:18","startHours":27.696097363037122,"endHours":29.30373883650212,"quality":"inauspicious"},{"name":"Udveg","start":"05:18","end":"06:55","startHours":29.30373883650212,"endHours":30.911380309967114,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:55","end":"07:55","startHours":6.911380309967114,"endHours":7.911380309967114,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:55","end":"08:55","startHours":7.911380309967114,"endHours":8.911380309967114,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:55","end":"09:55","startHours":8.911380309967114,"endHours":9.911380309967114,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:55","end":"10:55","startHours":9.911380309967114,"endHours":10.911380309967114,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:55","end":"11:55","startHours":10.911380309967114,"endHours":11.911380309967114,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:55","end":"12:55","startHours":11.911380309967114,"endHours":12.911380309967114,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:55","end":"13:55","startHours":12.911380309967114,"endHours":13.911380309967114,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:55","end":"14:55","startHours":13.911380309967114,"endHours":14.911380309967114,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:55","end":"15:55","startHours":14.911380309967114,"endHours":15.911380309967114,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:55","end":"16:55","startHours":15.911380309967114,"endHours":16.911380309967114,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:55","end":"17:55","startHours":16.911380309967114,"endHours":17.911380309967114,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:55","end":"18:55","startHours":17.911380309967114,"endHours":18.911380309967114,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:55","end":"19:55","startHours":18.911380309967114,"endHours":19.911380309967114,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:55","end":"20:55","startHours":19.911380309967114,"endHours":20.911380309967114,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:55","end":"21:55","startHours":20.911380309967114,"endHours":21.911380309967114,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:55","end":"22:55","startHours":21.911380309967114,"endHours":22.911380309967114,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:55","end":"23:55","startHours":22.911380309967114,"endHours":23.911380309967114,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:55","end":"00:55","startHours":23.911380309967114,"endHours":24.911380309967114,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:55","end":"01:55","startHours":24.911380309967114,"endHours":25.911380309967114,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:55","end":"02:55","startHours":25.911380309967114,"endHours":26.911380309967114,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:55","end":"03:55","startHours":26.911380309967114,"endHours":27.911380309967114,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:55","end":"04:55","startHours":27.911380309967114,"endHours":28.911380309967114,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:55","end":"05:55","startHours":28.911380309967114,"endHours":29.911380309967114,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:55","end":"06:55","startHours":29.911380309967114,"endHours":30.911380309967114,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","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":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.260911863711108,"eotMinutes":4.177935033572184,"ayanamsa":25.8919}},"calendars":{"vikram_samvat":2202,"vikram_samvatsara":"Kālayukta","saka_samvat":2067,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1552,"malayalam_era":1321,"nanakshahi_year":676,"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 Pratipada · Vikram 2202 Kālayukta · Śaka 2067 Viśvāvasu"},"festivals":[],"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 15, 2145 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 15, 2145 CE for Kolhāpur, Maharashtra: Śukla Pratipada, sūryodaya 06:55, sūryāsta 18:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2145-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2145-12-15","sa":"https://sa.vidhyamitra.com/city/kolhapur/2145-12-15","hi":"https://hi.vidhyamitra.com/city/kolhapur/2145-12-15","x-default":"https://vidhyamitra.com/city/kolhapur/2145-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T03:28:51.582Z","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":"2026-05-31T03:28:51.582Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T03:28:51.582Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}