{"id":"vidhyamitra:city-day:kolhapur:2176-12-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2176-12-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2176-12-21","date_display":"December 21, 2176 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":2176,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2516182.770833,"kali_year":5278,"ahargana":1927717.2708,"sun":{"sidereal_longitude":242.673,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":125.6533,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":242.9803,"elapsed_within_tithi_degrees":2.9803},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":125.6533,"elapsed_within_degrees":5.6533},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":8.3263},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2176,"month":12,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2516182.770833,"ahargana":1927717.2708,"kali_year":5278,"ayanamsa_lahiri":26.3252,"grahas":{"sun":{"sidereal_longitude":243.44397200000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":129.41357200000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":-1.928},"mars":{"sidereal_longitude":327.27137199999993,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":221.331272,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":326.172272,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":285.406072,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":19.76897200000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":280.2622,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":100.2622,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2176,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2516182.770833,"kali_year":5278,"ahargana":1927717.2708,"sun":{"sidereal_longitude":242.673,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":125.6533,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":242.9803,"elapsed_within_tithi_degrees":2.9803},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":125.6533,"elapsed_within_degrees":5.6533},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":8.3263},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.928,"elongation":117.02},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.928,"opposition_distance":62.98}},"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":11.130656701051647,"dayLengthDisplay":"11 Hours 07 Mins 50 Secs","nightLengthDisplay":"12 Hours 52 Mins 10 Secs","moonriseLocal":"22:42","moonsetLocal":"11:09","rahuKala":{"name":"Rāhu Kāla","start":"09:45","end":"11:08","startHours":9.744738667954719,"endHours":11.136070755586175,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:55","end":"15:19","startHours":13.918734930849087,"endHours":15.310067018480542,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:58","end":"08:21","startHours":6.962074492691807,"endHours":8.353406580323263,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:34","end":"09:56","startHours":9.559227722937191,"endHours":9.930249612972247,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:26","end":"07:43","startHours":7.425851855235625,"endHours":7.722669367263669,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:54","startHours":12.156380953182575,"endHours":12.898424733252684,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:29","end":"06:13","startHours":5.4779869325515875,"endHours":6.220030712621697,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:02","end":"06:58","startHours":6.03451976760417,"endHours":6.962074492691807,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:07","startHours":14.382512293392905,"endHours":15.124556073463015,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:54","end":"18:18","startHours":17.892731193743455,"endHours":18.292731193743453,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:06","end":"18:33","startHours":18.092731193743454,"endHours":18.556508556287273,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:51","end":"19:36","startHours":17.842731193743454,"endHours":19.592731193743454,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:54","startHours":24.156380953182573,"endHours":24.898424733252686,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:58","end":"08:21","startHours":6.962074492691807,"endHours":8.353406580323263,"quality":"inauspicious"},{"name":"Śubha","start":"08:21","end":"09:45","startHours":8.353406580323263,"endHours":9.744738667954719,"quality":"auspicious"},{"name":"Roga","start":"09:45","end":"11:08","startHours":9.744738667954719,"endHours":11.136070755586175,"quality":"inauspicious"},{"name":"Udveg","start":"11:08","end":"12:32","startHours":11.136070755586175,"endHours":12.52740284321763,"quality":"inauspicious"},{"name":"Chala","start":"12:32","end":"13:55","startHours":12.52740284321763,"endHours":13.918734930849087,"quality":"neutral"},{"name":"Labha","start":"13:55","end":"15:19","startHours":13.918734930849087,"endHours":15.310067018480542,"quality":"auspicious"},{"name":"Amṛta","start":"15:19","end":"16:42","startHours":15.310067018480542,"endHours":16.701399106112,"quality":"auspicious"},{"name":"Kāla","start":"16:42","end":"18:06","startHours":16.701399106112,"endHours":18.092731193743454,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:06","end":"19:42","startHours":18.092731193743454,"endHours":19.701399106112,"quality":"auspicious"},{"name":"Amṛta","start":"19:42","end":"21:19","startHours":19.701399106112,"endHours":21.31006701848054,"quality":"auspicious"},{"name":"Kāla","start":"21:19","end":"22:55","startHours":21.31006701848054,"endHours":22.918734930849087,"quality":"inauspicious"},{"name":"Śubha","start":"22:55","end":"00:32","startHours":22.918734930849087,"endHours":24.52740284321763,"quality":"auspicious"},{"name":"Roga","start":"00:32","end":"02:08","startHours":24.52740284321763,"endHours":26.136070755586175,"quality":"inauspicious"},{"name":"Udveg","start":"02:08","end":"03:45","startHours":26.136070755586175,"endHours":27.74473866795472,"quality":"inauspicious"},{"name":"Chala","start":"03:45","end":"05:21","startHours":27.74473866795472,"endHours":29.353406580323263,"quality":"neutral"},{"name":"Labha","start":"05:21","end":"06:58","startHours":29.353406580323263,"endHours":30.962074492691805,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:58","end":"07:58","startHours":6.962074492691807,"endHours":7.962074492691807,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:58","end":"08:58","startHours":7.962074492691807,"endHours":8.962074492691807,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:58","end":"09:58","startHours":8.962074492691807,"endHours":9.962074492691807,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:58","end":"10:58","startHours":9.962074492691807,"endHours":10.962074492691807,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:58","end":"11:58","startHours":10.962074492691807,"endHours":11.962074492691807,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:58","end":"12:58","startHours":11.962074492691807,"endHours":12.962074492691807,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:58","end":"13:58","startHours":12.962074492691807,"endHours":13.962074492691807,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:58","end":"14:58","startHours":13.962074492691807,"endHours":14.962074492691807,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:58","end":"15:58","startHours":14.962074492691807,"endHours":15.962074492691807,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:58","end":"16:58","startHours":15.962074492691807,"endHours":16.962074492691805,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:58","end":"17:58","startHours":16.962074492691805,"endHours":17.962074492691805,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:58","end":"18:58","startHours":17.962074492691805,"endHours":18.962074492691805,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:58","end":"19:58","startHours":18.962074492691805,"endHours":19.962074492691805,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:58","end":"20:58","startHours":19.962074492691805,"endHours":20.962074492691805,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:58","end":"21:58","startHours":20.962074492691805,"endHours":21.962074492691805,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:58","end":"22:58","startHours":21.962074492691805,"endHours":22.962074492691805,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:58","end":"23:58","startHours":22.962074492691805,"endHours":23.962074492691805,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:58","end":"00:58","startHours":23.962074492691805,"endHours":24.962074492691805,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:58","end":"01:58","startHours":24.962074492691805,"endHours":25.962074492691805,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:58","end":"02:58","startHours":25.962074492691805,"endHours":26.962074492691805,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:58","end":"03:58","startHours":26.962074492691805,"endHours":27.962074492691805,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:58","end":"04:58","startHours":27.962074492691805,"endHours":28.962074492691805,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:58","end":"05:58","startHours":28.962074492691805,"endHours":29.962074492691805,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:58","end":"06:58","startHours":29.962074492691805,"endHours":30.962074492691805,"planetary_lord":"Mercury"}],"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","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.436298438438314,"eotMinutes":1.382629406942221,"ayanamsa":26.3252}},"calendars":{"vikram_samvat":2233,"vikram_samvatsara":"Virodhi","saka_samvat":2098,"saka_samvatsara":"Dhātṛ","bengali_samvat":1583,"malayalam_era":1352,"nanakshahi_year":707,"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 Ṣaṣṭhī · Vikram 2233 Virodhi · Śaka 2098 Dhātṛ"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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, 2176 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 21, 2176 CE for Kolhāpur, Maharashtra: Kṛṣṇa Ṣaṣṭhī, sūryodaya 06:58, sūryāsta 18:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2176-12-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2176-12-21","sa":"https://sa.vidhyamitra.com/city/kolhapur/2176-12-21","hi":"https://hi.vidhyamitra.com/city/kolhapur/2176-12-21","x-default":"https://vidhyamitra.com/city/kolhapur/2176-12-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:46:09.400Z","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":"2026-05-31T16:46:09.400Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:46:09.400Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}