{"id":"vidhyamitra:city-day:kolhapur:2159-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2159-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-12-15","date_display":"December 15, 2159 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":2159,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509966.770833,"kali_year":5261,"ahargana":1921501.2708,"sun":{"sidereal_longitude":235.9001,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":297.1122,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":61.212,"elapsed_within_tithi_degrees":1.212},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":297.1122,"elapsed_within_degrees":3.7788},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":173.0123},"karana":{"half_tithi_index":10,"name":"Kaulava"},"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":2159,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509966.770833,"ahargana":1921501.2708,"kali_year":5261,"ayanamsa_lahiri":26.0874,"grahas":{"sun":{"sidereal_longitude":236.68966899999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":293.65846899999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false,"latitude":3.316},"mars":{"sidereal_longitude":308.51266899999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":241.07466899999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":188.87996899999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":202.28136900000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":189.52616899999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":249.6158,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":69.6158,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"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":2159,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509966.770833,"kali_year":5261,"ahargana":1921501.2708,"sun":{"sidereal_longitude":235.9001,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":297.1122,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":61.212,"elapsed_within_tithi_degrees":1.212},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":297.1122,"elapsed_within_degrees":3.7788},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":173.0123},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.316,"elongation":61.212},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.316,"opposition_distance":118.788}},"eclipse_window_40days":[{"offset_days":10,"type":"lunar","occurs":true,"moon_latitude":0.227,"opposition_distance":0.032}]},"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":11.139866998931275,"dayLengthDisplay":"11 Hours 08 Mins 24 Secs","nightLengthDisplay":"12 Hours 51 Mins 36 Secs","moonriseLocal":"10:33","moonsetLocal":"22:01","rahuKala":{"name":"Rāhu Kāla","start":"09:42","end":"11:05","startHours":9.69584766637431,"endHours":11.08833104124072,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:52","end":"15:16","startHours":13.873297790973538,"endHours":15.265781165839947,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:55","end":"08:18","startHours":6.910880916641491,"endHours":8.3033642915079,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:53","startHours":9.510183216392122,"endHours":9.881512116356499,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:23","end":"07:40","startHours":7.375042041596961,"endHours":7.672105161568462,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:51","startHours":12.109485516142755,"endHours":12.852143316071505,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:26","end":"06:10","startHours":5.425565316783988,"endHours":6.168223116712739,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:59","end":"06:55","startHours":5.982558666730552,"endHours":6.910880916641491,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:05","startHours":14.337458915929009,"endHours":15.080116715857761,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:51","end":"18:15","startHours":17.850747915572768,"endHours":18.250747915572767,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:03","end":"18:31","startHours":18.050747915572767,"endHours":18.514909040528238,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:48","end":"19:33","startHours":17.800747915572767,"endHours":19.550747915572767,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:51","startHours":24.109485516142755,"endHours":24.852143316071505,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:55","end":"08:18","startHours":6.910880916641491,"endHours":8.3033642915079,"quality":"inauspicious"},{"name":"Śubha","start":"08:18","end":"09:42","startHours":8.3033642915079,"endHours":9.69584766637431,"quality":"auspicious"},{"name":"Roga","start":"09:42","end":"11:05","startHours":9.69584766637431,"endHours":11.08833104124072,"quality":"inauspicious"},{"name":"Udveg","start":"11:05","end":"12:29","startHours":11.08833104124072,"endHours":12.48081441610713,"quality":"inauspicious"},{"name":"Chala","start":"12:29","end":"13:52","startHours":12.48081441610713,"endHours":13.873297790973538,"quality":"neutral"},{"name":"Labha","start":"13:52","end":"15:16","startHours":13.873297790973538,"endHours":15.265781165839947,"quality":"auspicious"},{"name":"Amṛta","start":"15:16","end":"16:39","startHours":15.265781165839947,"endHours":16.65826454070636,"quality":"auspicious"},{"name":"Kāla","start":"16:39","end":"18:03","startHours":16.65826454070636,"endHours":18.050747915572767,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:03","end":"19:39","startHours":18.050747915572767,"endHours":19.65826454070636,"quality":"auspicious"},{"name":"Amṛta","start":"19:39","end":"21:16","startHours":19.65826454070636,"endHours":21.265781165839947,"quality":"auspicious"},{"name":"Kāla","start":"21:16","end":"22:52","startHours":21.265781165839947,"endHours":22.873297790973538,"quality":"inauspicious"},{"name":"Śubha","start":"22:52","end":"00:29","startHours":22.873297790973538,"endHours":24.48081441610713,"quality":"auspicious"},{"name":"Roga","start":"00:29","end":"02:05","startHours":24.48081441610713,"endHours":26.08833104124072,"quality":"inauspicious"},{"name":"Udveg","start":"02:05","end":"03:42","startHours":26.08833104124072,"endHours":27.695847666374313,"quality":"inauspicious"},{"name":"Chala","start":"03:42","end":"05:18","startHours":27.695847666374313,"endHours":29.3033642915079,"quality":"neutral"},{"name":"Labha","start":"05:18","end":"06:55","startHours":29.3033642915079,"endHours":30.910880916641492,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:55","end":"07:55","startHours":6.910880916641491,"endHours":7.910880916641491,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:55","end":"08:55","startHours":7.910880916641491,"endHours":8.910880916641492,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:55","end":"09:55","startHours":8.910880916641492,"endHours":9.910880916641492,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:55","end":"10:55","startHours":9.910880916641492,"endHours":10.910880916641492,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:55","end":"11:55","startHours":10.910880916641492,"endHours":11.910880916641492,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:55","end":"12:55","startHours":11.910880916641492,"endHours":12.910880916641492,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:55","end":"13:55","startHours":12.910880916641492,"endHours":13.910880916641492,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:55","end":"14:55","startHours":13.910880916641492,"endHours":14.910880916641492,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:55","end":"15:55","startHours":14.910880916641492,"endHours":15.910880916641492,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:55","end":"16:55","startHours":15.910880916641492,"endHours":16.910880916641492,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:55","end":"17:55","startHours":16.910880916641492,"endHours":17.910880916641492,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:55","end":"18:55","startHours":17.910880916641492,"endHours":18.910880916641492,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:55","end":"19:55","startHours":18.910880916641492,"endHours":19.910880916641492,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:55","end":"20:55","startHours":19.910880916641492,"endHours":20.910880916641492,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:55","end":"21:55","startHours":20.910880916641492,"endHours":21.910880916641492,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:55","end":"22:55","startHours":21.910880916641492,"endHours":22.910880916641492,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:55","end":"23:55","startHours":22.910880916641492,"endHours":23.910880916641492,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:55","end":"00:55","startHours":23.910880916641492,"endHours":24.910880916641492,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:55","end":"01:55","startHours":24.910880916641492,"endHours":25.910880916641492,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:55","end":"02:55","startHours":25.910880916641492,"endHours":26.910880916641492,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:55","end":"03:55","startHours":26.910880916641492,"endHours":27.910880916641492,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:55","end":"04:55","startHours":27.910880916641492,"endHours":28.910880916641492,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:55","end":"05:55","startHours":28.910880916641492,"endHours":29.910880916641492,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:55","end":"06:55","startHours":29.910880916641492,"endHours":30.910880916641492,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Siddhi","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":-23.23954783635176,"eotMinutes":4.177935033572184,"ayanamsa":26.0874}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Ṣaṣṭhī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[{"id":"skanda-shashthi","name":"Skanda Ṣaṣṭhī","name_sanskrit":"स्कन्द षष्ठी","tradition":"Shaiva","associated_deity":"Kārttikeya / Skanda / Murugan","significance":"Kārttikeya's victory over Tāraka. Important Shaiva day in Tamil tradition.","vrata":true,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3},{"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":"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 15, 2159 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 15, 2159 CE for Kolhāpur, Maharashtra: Śukla Ṣaṣṭhī, sūryodaya 06:55, sūryāsta 18:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2159-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2159-12-15","sa":"https://sa.vidhyamitra.com/city/kolhapur/2159-12-15","hi":"https://hi.vidhyamitra.com/city/kolhapur/2159-12-15","x-default":"https://vidhyamitra.com/city/kolhapur/2159-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-27T09:26:22.725Z","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":"2026-05-27T09:26:22.725Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-27T09:26:22.725Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}