{"id":"vidhyamitra:city-day:kolhapur:2167-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2167-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2167-12-15","date_display":"December 15, 2167 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":2167,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512888.770833,"kali_year":5269,"ahargana":1924423.2708,"sun":{"sidereal_longitude":235.8283,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":276.9521,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":41.1238,"elapsed_within_tithi_degrees":5.1238},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":276.9521,"elapsed_within_degrees":10.2855},"yoga":{"number":12,"name":"Dhruva","sum_longitude":152.7805},"karana":{"half_tithi_index":6,"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":2167,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512888.770833,"ahargana":1924423.2708,"kali_year":5269,"ayanamsa_lahiri":26.1992,"grahas":{"sun":{"sidereal_longitude":236.63762699999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":274.4018269999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false,"latitude":-0.1693},"mars":{"sidereal_longitude":115.99722700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":254.59962700000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":74.58402699999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":202.65112699999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":271.1119269999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":94.7941,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":274.7941,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2167,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512888.770833,"kali_year":5269,"ahargana":1924423.2708,"sun":{"sidereal_longitude":235.8283,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":276.9521,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":41.1238,"elapsed_within_tithi_degrees":5.1238},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4,"moon_longitude":276.9521,"elapsed_within_degrees":10.2855},"yoga":{"number":12,"name":"Dhruva","sum_longitude":152.7805},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.169,"elongation":41.124},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.169,"opposition_distance":138.876}},"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":11.139715600368476,"dayLengthDisplay":"11 Hours 08 Mins 23 Secs","nightLengthDisplay":"12 Hours 51 Mins 37 Secs","moonriseLocal":"09:22","moonsetLocal":"20:37","rahuKala":{"name":"Rāhu Kāla","start":"15:16","end":"16:39","startHours":15.265743316199249,"endHours":16.658207766245308,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:42","end":"11:05","startHours":9.69588551601501,"endHours":11.08834996606107,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:29","end":"13:52","startHours":12.48081441610713,"endHours":13.87327886615319,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:53","startHours":9.510223589342203,"endHours":9.88154744268782,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:23","end":"07:40","startHours":7.375111432604912,"endHours":7.672170515281405,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:51","startHours":12.109490562761513,"endHours":12.852138269452746,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:26","end":"06:10","startHours":5.42566120254043,"endHours":6.168308909231661,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:59","end":"06:55","startHours":5.982646982558853,"endHours":6.910956615922893,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:05","startHours":14.33743368283521,"endHours":15.080081389526441,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:51","end":"18:15","startHours":17.85067221629137,"endHours":18.250672216291367,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:03","end":"18:31","startHours":18.050672216291368,"endHours":18.514827032973386,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:48","end":"19:33","startHours":17.800672216291368,"endHours":19.550672216291368,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:51","startHours":24.109490562761515,"endHours":24.852138269452745,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:55","end":"08:18","startHours":6.910956615922893,"endHours":8.303421065968951,"quality":"inauspicious"},{"name":"Udveg","start":"08:18","end":"09:42","startHours":8.303421065968951,"endHours":9.69588551601501,"quality":"inauspicious"},{"name":"Chala","start":"09:42","end":"11:05","startHours":9.69588551601501,"endHours":11.08834996606107,"quality":"neutral"},{"name":"Labha","start":"11:05","end":"12:29","startHours":11.08834996606107,"endHours":12.48081441610713,"quality":"auspicious"},{"name":"Amṛta","start":"12:29","end":"13:52","startHours":12.48081441610713,"endHours":13.87327886615319,"quality":"auspicious"},{"name":"Kāla","start":"13:52","end":"15:16","startHours":13.87327886615319,"endHours":15.265743316199249,"quality":"inauspicious"},{"name":"Śubha","start":"15:16","end":"16:39","startHours":15.265743316199249,"endHours":16.658207766245308,"quality":"auspicious"},{"name":"Roga","start":"16:39","end":"18:03","startHours":16.658207766245308,"endHours":18.050672216291368,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:03","end":"19:39","startHours":18.050672216291368,"endHours":19.658207766245308,"quality":"inauspicious"},{"name":"Śubha","start":"19:39","end":"21:16","startHours":19.658207766245308,"endHours":21.26574331619925,"quality":"auspicious"},{"name":"Roga","start":"21:16","end":"22:52","startHours":21.26574331619925,"endHours":22.87327886615319,"quality":"inauspicious"},{"name":"Udveg","start":"22:52","end":"00:29","startHours":22.87327886615319,"endHours":24.48081441610713,"quality":"inauspicious"},{"name":"Chala","start":"00:29","end":"02:05","startHours":24.48081441610713,"endHours":26.08834996606107,"quality":"neutral"},{"name":"Labha","start":"02:05","end":"03:42","startHours":26.08834996606107,"endHours":27.69588551601501,"quality":"auspicious"},{"name":"Amṛta","start":"03:42","end":"05:18","startHours":27.69588551601501,"endHours":29.30342106596895,"quality":"auspicious"},{"name":"Kāla","start":"05:18","end":"06:55","startHours":29.30342106596895,"endHours":30.910956615922892,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:55","end":"07:55","startHours":6.910956615922893,"endHours":7.910956615922893,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:55","end":"08:55","startHours":7.910956615922893,"endHours":8.910956615922892,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:55","end":"09:55","startHours":8.910956615922892,"endHours":9.910956615922892,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:55","end":"10:55","startHours":9.910956615922892,"endHours":10.910956615922892,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:55","end":"11:55","startHours":10.910956615922892,"endHours":11.910956615922892,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:55","end":"12:55","startHours":11.910956615922892,"endHours":12.910956615922892,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:55","end":"13:55","startHours":12.910956615922892,"endHours":13.910956615922892,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:55","end":"14:55","startHours":13.910956615922892,"endHours":14.910956615922892,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:55","end":"15:55","startHours":14.910956615922892,"endHours":15.910956615922892,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:55","end":"16:55","startHours":15.910956615922892,"endHours":16.910956615922892,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:55","end":"17:55","startHours":16.910956615922892,"endHours":17.910956615922892,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:55","end":"18:55","startHours":17.910956615922892,"endHours":18.910956615922892,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:55","end":"19:55","startHours":18.910956615922892,"endHours":19.910956615922892,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:55","end":"20:55","startHours":19.910956615922892,"endHours":20.910956615922892,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:55","end":"21:55","startHours":20.910956615922892,"endHours":21.910956615922892,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:55","end":"22:55","startHours":21.910956615922892,"endHours":22.910956615922892,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:55","end":"23:55","startHours":22.910956615922892,"endHours":23.910956615922892,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:55","end":"00:55","startHours":23.910956615922892,"endHours":24.910956615922892,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:55","end":"01:55","startHours":24.910956615922892,"endHours":25.910956615922892,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:55","end":"02:55","startHours":25.910956615922892,"endHours":26.910956615922892,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:55","end":"03:55","startHours":26.910956615922892,"endHours":27.910956615922892,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:55","end":"04:55","startHours":27.910956615922892,"endHours":28.910956615922892,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:55","end":"05:55","startHours":28.910956615922892,"endHours":29.910956615922892,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:55","end":"06:55","startHours":29.910956615922892,"endHours":30.910956615922892,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Ānanda","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":-23.242786684875377,"eotMinutes":4.177935033572184,"ayanamsa":26.1992}},"calendars":{"vikram_samvat":2224,"vikram_samvatsara":"Vikrama","saka_samvat":2089,"saka_samvatsara":"Prabhava","bengali_samvat":1574,"malayalam_era":1343,"nanakshahi_year":698,"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 Caturthī · Vikram 2224 Vikrama · Śaka 2089 Prabhava"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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 15, 2167 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 15, 2167 CE for Kolhāpur, Maharashtra: Śukla Caturthī, sūryodaya 06:55, sūryāsta 18:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2167-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2167-12-15","sa":"https://sa.vidhyamitra.com/city/kolhapur/2167-12-15","hi":"https://hi.vidhyamitra.com/city/kolhapur/2167-12-15","x-default":"https://vidhyamitra.com/city/kolhapur/2167-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T23:40:15.437Z","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":"2026-05-31T23:40:15.437Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T23:40:15.437Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}