{"id":"vidhyamitra:city-day:kolhapur:2129-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2129-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2129-12-15","date_display":"December 15, 2129 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":2129,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2499009.770833,"kali_year":5231,"ahargana":1910544.2708,"sun":{"sidereal_longitude":236.6821,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":280.9396,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":44.2575,"elapsed_within_tithi_degrees":8.2575},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":280.9396,"elapsed_within_degrees":0.9396},"yoga":{"number":12,"name":"Dhruva","sum_longitude":157.6217},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2129,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2499009.770833,"ahargana":1910544.2708,"kali_year":5231,"ayanamsa_lahiri":25.6683,"grahas":{"sun":{"sidereal_longitude":237.39370700000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":283.87150700000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false,"latitude":0.7211},"mars":{"sidereal_longitude":328.88460699999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":226.766707,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":342.100007,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":237.97440700000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":184.17150700000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":110.1703,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":290.1703,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"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":2129,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2499009.770833,"kali_year":5231,"ahargana":1910544.2708,"sun":{"sidereal_longitude":236.6821,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":280.9396,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":44.2575,"elapsed_within_tithi_degrees":8.2575},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":280.9396,"elapsed_within_degrees":0.9396},"yoga":{"number":12,"name":"Dhruva","sum_longitude":157.6217},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.721,"elongation":44.257},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.721,"opposition_distance":135.743}},"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":11.139156247746628,"dayLengthDisplay":"11 Hours 08 Mins 21 Secs","nightLengthDisplay":"12 Hours 51 Mins 39 Secs","moonriseLocal":"09:54","moonsetLocal":"21:15","rahuKala":{"name":"Rāhu Kāla","start":"13:52","end":"15:16","startHours":13.873208947075458,"endHours":15.265603478043786,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:55","end":"08:18","startHours":6.911236292233815,"endHours":8.303630823202143,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:42","end":"11:05","startHours":9.696025354170471,"endHours":11.088419885138801,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:53","startHours":9.51037275004136,"endHours":9.881677958299582,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:23","end":"07:40","startHours":7.375367802556591,"endHours":7.672411969163168,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:51","startHours":12.109509207848909,"endHours":12.85211962436535,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:26","end":"06:10","startHours":5.426015459200931,"endHours":6.168625875717373,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:59","end":"06:55","startHours":5.982973271588262,"endHours":6.911236292233815,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:05","startHours":14.337340457398234,"endHours":15.079950873914676,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:51","end":"18:15","startHours":17.850392539980444,"endHours":18.250392539980442,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:03","end":"18:31","startHours":18.050392539980443,"endHours":18.51452405030322,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:48","end":"19:33","startHours":17.800392539980443,"endHours":19.550392539980443,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:51","startHours":24.10950920784891,"endHours":24.85211962436535,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:55","end":"08:18","startHours":6.911236292233815,"endHours":8.303630823202143,"quality":"auspicious"},{"name":"Roga","start":"08:18","end":"09:42","startHours":8.303630823202143,"endHours":9.696025354170471,"quality":"inauspicious"},{"name":"Udveg","start":"09:42","end":"11:05","startHours":9.696025354170471,"endHours":11.088419885138801,"quality":"inauspicious"},{"name":"Chala","start":"11:05","end":"12:29","startHours":11.088419885138801,"endHours":12.48081441610713,"quality":"neutral"},{"name":"Labha","start":"12:29","end":"13:52","startHours":12.48081441610713,"endHours":13.873208947075458,"quality":"auspicious"},{"name":"Amṛta","start":"13:52","end":"15:16","startHours":13.873208947075458,"endHours":15.265603478043786,"quality":"auspicious"},{"name":"Kāla","start":"15:16","end":"16:39","startHours":15.265603478043786,"endHours":16.657998009012115,"quality":"inauspicious"},{"name":"Śubha","start":"16:39","end":"18:03","startHours":16.657998009012115,"endHours":18.050392539980443,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:03","end":"19:39","startHours":18.050392539980443,"endHours":19.657998009012115,"quality":"auspicious"},{"name":"Kāla","start":"19:39","end":"21:16","startHours":19.657998009012115,"endHours":21.265603478043786,"quality":"inauspicious"},{"name":"Śubha","start":"21:16","end":"22:52","startHours":21.265603478043786,"endHours":22.873208947075458,"quality":"auspicious"},{"name":"Roga","start":"22:52","end":"00:29","startHours":22.873208947075458,"endHours":24.48081441610713,"quality":"inauspicious"},{"name":"Udveg","start":"00:29","end":"02:05","startHours":24.48081441610713,"endHours":26.088419885138798,"quality":"inauspicious"},{"name":"Chala","start":"02:05","end":"03:42","startHours":26.088419885138798,"endHours":27.696025354170473,"quality":"neutral"},{"name":"Labha","start":"03:42","end":"05:18","startHours":27.696025354170473,"endHours":29.30363082320214,"quality":"auspicious"},{"name":"Amṛta","start":"05:18","end":"06:55","startHours":29.30363082320214,"endHours":30.911236292233816,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:55","end":"07:55","startHours":6.911236292233815,"endHours":7.911236292233815,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:55","end":"08:55","startHours":7.911236292233815,"endHours":8.911236292233815,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:55","end":"09:55","startHours":8.911236292233815,"endHours":9.911236292233815,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:55","end":"10:55","startHours":9.911236292233815,"endHours":10.911236292233815,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:55","end":"11:55","startHours":10.911236292233815,"endHours":11.911236292233815,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:55","end":"12:55","startHours":11.911236292233815,"endHours":12.911236292233815,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:55","end":"13:55","startHours":12.911236292233815,"endHours":13.911236292233815,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:55","end":"14:55","startHours":13.911236292233815,"endHours":14.911236292233815,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:55","end":"15:55","startHours":14.911236292233815,"endHours":15.911236292233815,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:55","end":"16:55","startHours":15.911236292233815,"endHours":16.911236292233816,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:55","end":"17:55","startHours":16.911236292233816,"endHours":17.911236292233816,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:55","end":"18:55","startHours":17.911236292233816,"endHours":18.911236292233816,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:55","end":"19:55","startHours":18.911236292233816,"endHours":19.911236292233816,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:55","end":"20:55","startHours":19.911236292233816,"endHours":20.911236292233816,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:55","end":"21:55","startHours":20.911236292233816,"endHours":21.911236292233816,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:55","end":"22:55","startHours":21.911236292233816,"endHours":22.911236292233816,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:55","end":"23:55","startHours":22.911236292233816,"endHours":23.911236292233816,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:55","end":"00:55","startHours":23.911236292233816,"endHours":24.911236292233816,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:55","end":"01:55","startHours":24.911236292233816,"endHours":25.911236292233816,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:55","end":"02:55","startHours":25.911236292233816,"endHours":26.911236292233816,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:55","end":"03:55","startHours":26.911236292233816,"endHours":27.911236292233816,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:55","end":"04:55","startHours":27.911236292233816,"endHours":28.911236292233816,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:55","end":"05:55","startHours":28.911236292233816,"endHours":29.911236292233816,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:55","end":"06:55","startHours":29.911236292233816,"endHours":30.911236292233816,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"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":-23.254751486651223,"eotMinutes":4.177935033572184,"ayanamsa":25.6683}},"calendars":{"vikram_samvat":2186,"vikram_samvatsara":"Śubhakṛt","saka_samvat":2051,"saka_samvatsara":"Virodhi","bengali_samvat":1536,"malayalam_era":1305,"nanakshahi_year":660,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Caturthī · Vikram 2186 Śubhakṛt · Śaka 2051 Virodhi"},"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},{"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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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, 2129 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 15, 2129 CE for Kolhāpur, Maharashtra: Śukla Caturthī, sūryodaya 06:55, sūryāsta 18:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2129-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2129-12-15","sa":"https://sa.vidhyamitra.com/city/kolhapur/2129-12-15","hi":"https://hi.vidhyamitra.com/city/kolhapur/2129-12-15","x-default":"https://vidhyamitra.com/city/kolhapur/2129-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-23T04:52:59.927Z","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":"2026-05-23T04:52:59.927Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-23T04:52:59.927Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}