{"id":"vidhyamitra:city-day:kolhapur:2039-12-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2039-12-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-12-17","date_display":"December 17, 2039 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":2039,"month":12,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466139.770833,"kali_year":5141,"ahargana":1877674.2708,"sun":{"sidereal_longitude":240.055,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":257.8073,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":17.7523,"elapsed_within_tithi_degrees":5.7523},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":257.8073,"elapsed_within_degrees":4.474},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":137.8624},"karana":{"half_tithi_index":2,"name":"Bālava"},"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":2039,"month":12,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466139.770833,"ahargana":1877674.2708,"kali_year":5141,"ayanamsa_lahiri":24.4112,"grahas":{"sun":{"sidereal_longitude":240.52468299999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":259.788283,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false,"latitude":-1.9729},"mars":{"sidereal_longitude":82.96238299999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":229.34578299999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":155.19588299999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":200.64218300000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":165.80068300000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":51.7811,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":231.7811,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2039,"month":12,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466139.770833,"kali_year":5141,"ahargana":1877674.2708,"sun":{"sidereal_longitude":240.055,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":257.8073,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":17.7523,"elapsed_within_tithi_degrees":5.7523},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":257.8073,"elapsed_within_degrees":4.474},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":137.8624},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.973,"elongation":17.752},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.973,"opposition_distance":162.248}},"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":"06:56","sunsetLocal":"18:04","solarNoonLocal":"12:30","dayLengthHours":11.135187502563838,"dayLengthDisplay":"11 Hours 08 Mins 07 Secs","nightLengthDisplay":"12 Hours 51 Mins 53 Secs","moonriseLocal":"08:13","moonsetLocal":"19:21","rahuKala":{"name":"Rāhu Kāla","start":"09:43","end":"11:06","startHours":9.712426976407233,"endHours":11.104325414227713,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:53","end":"15:17","startHours":13.888122289868672,"endHours":15.280020727689152,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:56","end":"08:19","startHours":6.928630100766273,"endHours":8.320528538586753,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:32","end":"09:54","startHours":9.526840518031168,"endHours":9.898013434783296,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:24","end":"07:41","startHours":7.392596246706432,"endHours":7.689534580108135,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:52","startHours":12.125050935296064,"endHours":12.86739676880032,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:27","end":"06:11","startHours":5.443938433757761,"endHours":6.186284267262017,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:00","end":"06:56","startHours":6.000697808885953,"endHours":6.928630100766273,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:06","startHours":14.352088435808831,"endHours":15.094434269313087,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:52","end":"18:16","startHours":17.863817603330112,"endHours":18.26381760333011,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:04","end":"18:32","startHours":18.06381760333011,"endHours":18.52778374927027,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:49","end":"19:34","startHours":17.81381760333011,"endHours":19.56381760333011,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:52","startHours":24.125050935296066,"endHours":24.86739676880032,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:56","end":"08:19","startHours":6.928630100766273,"endHours":8.320528538586753,"quality":"inauspicious"},{"name":"Śubha","start":"08:19","end":"09:43","startHours":8.320528538586753,"endHours":9.712426976407233,"quality":"auspicious"},{"name":"Roga","start":"09:43","end":"11:06","startHours":9.712426976407233,"endHours":11.104325414227713,"quality":"inauspicious"},{"name":"Udveg","start":"11:06","end":"12:30","startHours":11.104325414227713,"endHours":12.496223852048193,"quality":"inauspicious"},{"name":"Chala","start":"12:30","end":"13:53","startHours":12.496223852048193,"endHours":13.888122289868672,"quality":"neutral"},{"name":"Labha","start":"13:53","end":"15:17","startHours":13.888122289868672,"endHours":15.280020727689152,"quality":"auspicious"},{"name":"Amṛta","start":"15:17","end":"16:40","startHours":15.280020727689152,"endHours":16.67191916550963,"quality":"auspicious"},{"name":"Kāla","start":"16:40","end":"18:04","startHours":16.67191916550963,"endHours":18.06381760333011,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:04","end":"19:40","startHours":18.06381760333011,"endHours":19.67191916550963,"quality":"auspicious"},{"name":"Amṛta","start":"19:40","end":"21:17","startHours":19.67191916550963,"endHours":21.280020727689152,"quality":"auspicious"},{"name":"Kāla","start":"21:17","end":"22:53","startHours":21.280020727689152,"endHours":22.888122289868672,"quality":"inauspicious"},{"name":"Śubha","start":"22:53","end":"00:30","startHours":22.888122289868672,"endHours":24.496223852048193,"quality":"auspicious"},{"name":"Roga","start":"00:30","end":"02:06","startHours":24.496223852048193,"endHours":26.104325414227713,"quality":"inauspicious"},{"name":"Udveg","start":"02:06","end":"03:43","startHours":26.104325414227713,"endHours":27.712426976407233,"quality":"inauspicious"},{"name":"Chala","start":"03:43","end":"05:19","startHours":27.712426976407233,"endHours":29.320528538586753,"quality":"neutral"},{"name":"Labha","start":"05:19","end":"06:56","startHours":29.320528538586753,"endHours":30.928630100766274,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:56","end":"07:56","startHours":6.928630100766273,"endHours":7.928630100766273,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:56","end":"08:56","startHours":7.928630100766273,"endHours":8.928630100766274,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:56","end":"09:56","startHours":8.928630100766274,"endHours":9.928630100766274,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:56","end":"10:56","startHours":9.928630100766274,"endHours":10.928630100766274,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:56","end":"11:56","startHours":10.928630100766274,"endHours":11.928630100766274,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:56","end":"12:56","startHours":11.928630100766274,"endHours":12.928630100766274,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:56","end":"13:56","startHours":12.928630100766274,"endHours":13.928630100766274,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:56","end":"14:56","startHours":13.928630100766274,"endHours":14.928630100766274,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:56","end":"15:56","startHours":14.928630100766274,"endHours":15.928630100766274,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:56","end":"16:56","startHours":15.928630100766274,"endHours":16.928630100766274,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:56","end":"17:56","startHours":16.928630100766274,"endHours":17.928630100766274,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:56","end":"18:56","startHours":17.928630100766274,"endHours":18.928630100766274,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:56","end":"19:56","startHours":18.928630100766274,"endHours":19.928630100766274,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:56","end":"20:56","startHours":19.928630100766274,"endHours":20.928630100766274,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:56","end":"21:56","startHours":20.928630100766274,"endHours":21.928630100766274,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:56","end":"22:56","startHours":21.928630100766274,"endHours":22.928630100766274,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:56","end":"23:56","startHours":22.928630100766274,"endHours":23.928630100766274,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:56","end":"00:56","startHours":23.928630100766274,"endHours":24.928630100766274,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:56","end":"01:56","startHours":24.928630100766274,"endHours":25.928630100766274,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:56","end":"02:56","startHours":25.928630100766274,"endHours":26.928630100766274,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:56","end":"03:56","startHours":26.928630100766274,"endHours":27.928630100766274,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:56","end":"04:56","startHours":27.928630100766274,"endHours":28.928630100766274,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:56","end":"05:56","startHours":28.928630100766274,"endHours":29.928630100766274,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:56","end":"06:56","startHours":29.928630100766274,"endHours":30.928630100766274,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Utpāta","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":-23.339583575369183,"eotMinutes":3.253368877108411,"ayanamsa":24.4112}},"calendars":{"vikram_samvat":2096,"vikram_samvatsara":"Aṅgirasa","saka_samvat":1961,"saka_samvatsara":"Siddhārthī","bengali_samvat":1446,"malayalam_era":1215,"nanakshahi_year":570,"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":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Dvitīyā · Vikram 2096 Aṅgirasa · Śaka 1961 Siddhārthī"},"festivals":[{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi_ingress":"Dhanu"},"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 17, 2039 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 17, 2039 CE for Kolhāpur, Maharashtra: Śukla Dvitīyā, sūryodaya 06:56, sūryāsta 18:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2039-12-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2039-12-17","sa":"https://sa.vidhyamitra.com/city/kolhapur/2039-12-17","hi":"https://hi.vidhyamitra.com/city/kolhapur/2039-12-17","x-default":"https://vidhyamitra.com/city/kolhapur/2039-12-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T06:33:05.870Z","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":"2026-06-02T06:33:05.870Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T06:33:05.870Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}