{"id":"vidhyamitra:city-day:kolhapur:2026-12-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2026-12-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2026-12-16","date_display":"December 16, 2026 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":2026,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461390.770833,"kali_year":5128,"ahargana":1872925.2708,"sun":{"sidereal_longitude":239.4023,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":319.8696,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":80.4674,"elapsed_within_tithi_degrees":8.4674},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":319.8696,"elapsed_within_degrees":13.203},"yoga":{"number":15,"name":"Vajra","sum_longitude":199.2719},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"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":2026,"month":12,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461390.770833,"ahargana":1872925.2708,"kali_year":5128,"ayanamsa_lahiri":24.2296,"grahas":{"sun":{"sidereal_longitude":239.84682999999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":316.13942999999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false,"latitude":1.2741},"mars":{"sidereal_longitude":132.15503,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":230.17832999999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":122.55813,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":194.06782999999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":343.78053,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":303.406,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":123.406,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2026,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461390.770833,"kali_year":5128,"ahargana":1872925.2708,"sun":{"sidereal_longitude":239.4023,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":319.8696,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":80.4674,"elapsed_within_tithi_degrees":8.4674},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":319.8696,"elapsed_within_degrees":13.203},"yoga":{"number":15,"name":"Vajra","sum_longitude":199.2719},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.274,"elongation":80.467},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.274,"opposition_distance":99.533}},"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":11.136855389250586,"dayLengthDisplay":"11 Hours 08 Mins 13 Secs","nightLengthDisplay":"12 Hours 51 Mins 47 Secs","moonriseLocal":"11:41","moonsetLocal":"23:28","rahuKala":{"name":"Rāhu Kāla","start":"12:29","end":"13:53","startHours":12.488498052880459,"endHours":13.88060497653678,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:19","end":"09:42","startHours":8.312177281911488,"endHours":9.704284205567811,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:06","end":"12:29","startHours":11.096391129224134,"endHours":12.488498052880459,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:53","startHours":9.518669949080302,"endHours":9.88989846205532,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:23","end":"07:41","startHours":7.384105999473939,"endHours":7.6810888098539545,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:52","startHours":12.11726953990544,"endHours":12.859726565855478,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:26","end":"06:11","startHours":5.435156306355087,"endHours":6.177613332305126,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:00","end":"06:55","startHours":5.991999075817616,"endHours":6.920070358255165,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:05","startHours":14.344640617755555,"endHours":15.087097643705594,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:51","end":"18:15","startHours":17.856925747505752,"endHours":18.25692574750575,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:03","end":"18:31","startHours":18.05692574750575,"endHours":18.520961388724526,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:48","end":"19:33","startHours":17.80692574750575,"endHours":19.55692574750575,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:52","startHours":24.11726953990544,"endHours":24.85972656585548,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:55","end":"08:19","startHours":6.920070358255165,"endHours":8.312177281911488,"quality":"auspicious"},{"name":"Amṛta","start":"08:19","end":"09:42","startHours":8.312177281911488,"endHours":9.704284205567811,"quality":"auspicious"},{"name":"Kāla","start":"09:42","end":"11:06","startHours":9.704284205567811,"endHours":11.096391129224134,"quality":"inauspicious"},{"name":"Śubha","start":"11:06","end":"12:29","startHours":11.096391129224134,"endHours":12.488498052880459,"quality":"auspicious"},{"name":"Roga","start":"12:29","end":"13:53","startHours":12.488498052880459,"endHours":13.88060497653678,"quality":"inauspicious"},{"name":"Udveg","start":"13:53","end":"15:16","startHours":13.88060497653678,"endHours":15.272711900193105,"quality":"inauspicious"},{"name":"Chala","start":"15:16","end":"16:40","startHours":15.272711900193105,"endHours":16.66481882384943,"quality":"neutral"},{"name":"Labha","start":"16:40","end":"18:03","startHours":16.66481882384943,"endHours":18.05692574750575,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:03","end":"19:40","startHours":18.05692574750575,"endHours":19.664818823849426,"quality":"inauspicious"},{"name":"Chala","start":"19:40","end":"21:16","startHours":19.664818823849426,"endHours":21.272711900193105,"quality":"neutral"},{"name":"Labha","start":"21:16","end":"22:53","startHours":21.272711900193105,"endHours":22.88060497653678,"quality":"auspicious"},{"name":"Amṛta","start":"22:53","end":"00:29","startHours":22.88060497653678,"endHours":24.48849805288046,"quality":"auspicious"},{"name":"Kāla","start":"00:29","end":"02:06","startHours":24.48849805288046,"endHours":26.096391129224134,"quality":"inauspicious"},{"name":"Śubha","start":"02:06","end":"03:42","startHours":26.096391129224134,"endHours":27.70428420556781,"quality":"auspicious"},{"name":"Roga","start":"03:42","end":"05:19","startHours":27.70428420556781,"endHours":29.312177281911488,"quality":"inauspicious"},{"name":"Udveg","start":"05:19","end":"06:55","startHours":29.312177281911488,"endHours":30.920070358255167,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:55","end":"07:55","startHours":6.920070358255165,"endHours":7.920070358255165,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:55","end":"08:55","startHours":7.920070358255165,"endHours":8.920070358255165,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:55","end":"09:55","startHours":8.920070358255165,"endHours":9.920070358255165,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:55","end":"10:55","startHours":9.920070358255165,"endHours":10.920070358255165,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:55","end":"11:55","startHours":10.920070358255165,"endHours":11.920070358255165,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:55","end":"12:55","startHours":11.920070358255165,"endHours":12.920070358255165,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:55","end":"13:55","startHours":12.920070358255165,"endHours":13.920070358255165,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:55","end":"14:55","startHours":13.920070358255165,"endHours":14.920070358255165,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:55","end":"15:55","startHours":14.920070358255165,"endHours":15.920070358255165,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:55","end":"16:55","startHours":15.920070358255165,"endHours":16.920070358255167,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:55","end":"17:55","startHours":16.920070358255167,"endHours":17.920070358255167,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:55","end":"18:55","startHours":17.920070358255167,"endHours":18.920070358255167,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:55","end":"19:55","startHours":18.920070358255167,"endHours":19.920070358255167,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:55","end":"20:55","startHours":19.920070358255167,"endHours":20.920070358255167,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:55","end":"21:55","startHours":20.920070358255167,"endHours":21.920070358255167,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:55","end":"22:55","startHours":21.920070358255167,"endHours":22.920070358255167,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:55","end":"23:55","startHours":22.920070358255167,"endHours":23.920070358255167,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:55","end":"00:55","startHours":23.920070358255167,"endHours":24.920070358255167,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:55","end":"01:55","startHours":24.920070358255167,"endHours":25.920070358255167,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:55","end":"02:55","startHours":25.920070358255167,"endHours":26.920070358255167,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:55","end":"03:55","startHours":26.920070358255167,"endHours":27.920070358255167,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:55","end":"04:55","startHours":27.920070358255167,"endHours":28.920070358255167,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:55","end":"05:55","startHours":28.920070358255167,"endHours":29.920070358255167,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:55","end":"06:55","startHours":29.920070358255167,"endHours":30.920070358255167,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.30394549179428,"eotMinutes":3.716916827172506,"ayanamsa":24.2296}},"calendars":{"vikram_samvat":2083,"vikram_samvatsara":"Siddhārthī","saka_samvat":1948,"saka_samvatsara":"Parābhava","bengali_samvat":1433,"malayalam_era":1202,"nanakshahi_year":557,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Saptamī · Vikram 2083 Siddhārthī · Śaka 1948 Parābhava"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5}],"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 16, 2026 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 16, 2026 CE for Kolhāpur, Maharashtra: Śukla Saptamī, sūryodaya 06:55, sūryāsta 18:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2026-12-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2026-12-16","sa":"https://sa.vidhyamitra.com/city/kolhapur/2026-12-16","hi":"https://hi.vidhyamitra.com/city/kolhapur/2026-12-16","x-default":"https://vidhyamitra.com/city/kolhapur/2026-12-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T00:46:28.846Z","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":"2026-05-15T00:46:28.846Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T00:46:28.846Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}