{"id":"vidhyamitra:city-day:kolhapur:2039-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2039-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-12-15","date_display":"December 15, 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":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466137.770833,"kali_year":5141,"ahargana":1877672.2708,"sun":{"sidereal_longitude":238.0031,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":228.8103,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":350.8072,"elapsed_within_tithi_degrees":2.8072},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":228.8103,"elapsed_within_degrees":2.1436},"yoga":{"number":9,"name":"Śūla","sum_longitude":106.8134},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"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":2039,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466137.770833,"ahargana":1877672.2708,"kali_year":5141,"ayanamsa_lahiri":24.4111,"grahas":{"sun":{"sidereal_longitude":238.49005899999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":229.286559,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false,"latitude":0.2413},"mars":{"sidereal_longitude":83.56565899999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":226.26545899999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":155.00645899999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":198.23825899999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":165.67735900000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":51.8871,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":231.8871,"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":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466137.770833,"kali_year":5141,"ahargana":1877672.2708,"sun":{"sidereal_longitude":238.0031,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":228.8103,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":350.8072,"elapsed_within_tithi_degrees":2.8072},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":228.8103,"elapsed_within_degrees":2.1436},"yoga":{"number":9,"name":"Śūla","sum_longitude":106.8134},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.241,"elongation":9.193},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.241,"opposition_distance":170.807}},"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":11.13955399993285,"dayLengthDisplay":"11 Hours 08 Mins 22 Secs","nightLengthDisplay":"12 Hours 51 Mins 38 Secs","moonriseLocal":"06:18","moonsetLocal":"17:26","rahuKala":{"name":"Rāhu Kāla","start":"13:52","end":"15:16","startHours":13.873258666098735,"endHours":15.26570291609034,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:55","end":"08:18","startHours":6.9110374161407035,"endHours":8.30348166613231,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:42","end":"11:05","startHours":9.695925916123915,"endHours":11.088370166115523,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:53","startHours":9.510266682791702,"endHours":9.88158514945613,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:23","end":"07:40","startHours":7.375185499471239,"endHours":7.672240272802782,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:51","startHours":12.109495949442701,"endHours":12.852132882771558,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:26","end":"06:10","startHours":5.4257635494829906,"endHours":6.168400482811847,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:59","end":"06:55","startHours":5.982741249479632,"endHours":6.9110374161407035,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:05","startHours":14.33740674942927,"endHours":15.080043682758127,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:51","end":"18:15","startHours":17.850591416073556,"endHours":18.250591416073554,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:03","end":"18:31","startHours":18.050591416073555,"endHours":18.51473949940409,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:48","end":"19:33","startHours":17.800591416073555,"endHours":19.550591416073555,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:51","startHours":24.109495949442703,"endHours":24.852132882771556,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:55","end":"08:18","startHours":6.9110374161407035,"endHours":8.30348166613231,"quality":"auspicious"},{"name":"Roga","start":"08:18","end":"09:42","startHours":8.30348166613231,"endHours":9.695925916123915,"quality":"inauspicious"},{"name":"Udveg","start":"09:42","end":"11:05","startHours":9.695925916123915,"endHours":11.088370166115523,"quality":"inauspicious"},{"name":"Chala","start":"11:05","end":"12:29","startHours":11.088370166115523,"endHours":12.48081441610713,"quality":"neutral"},{"name":"Labha","start":"12:29","end":"13:52","startHours":12.48081441610713,"endHours":13.873258666098735,"quality":"auspicious"},{"name":"Amṛta","start":"13:52","end":"15:16","startHours":13.873258666098735,"endHours":15.26570291609034,"quality":"auspicious"},{"name":"Kāla","start":"15:16","end":"16:39","startHours":15.26570291609034,"endHours":16.65814716608195,"quality":"inauspicious"},{"name":"Śubha","start":"16:39","end":"18:03","startHours":16.65814716608195,"endHours":18.050591416073555,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:03","end":"19:39","startHours":18.050591416073555,"endHours":19.65814716608195,"quality":"auspicious"},{"name":"Kāla","start":"19:39","end":"21:16","startHours":19.65814716608195,"endHours":21.26570291609034,"quality":"inauspicious"},{"name":"Śubha","start":"21:16","end":"22:52","startHours":21.26570291609034,"endHours":22.873258666098735,"quality":"auspicious"},{"name":"Roga","start":"22:52","end":"00:29","startHours":22.873258666098735,"endHours":24.48081441610713,"quality":"inauspicious"},{"name":"Udveg","start":"00:29","end":"02:05","startHours":24.48081441610713,"endHours":26.088370166115524,"quality":"inauspicious"},{"name":"Chala","start":"02:05","end":"03:42","startHours":26.088370166115524,"endHours":27.69592591612392,"quality":"neutral"},{"name":"Labha","start":"03:42","end":"05:18","startHours":27.69592591612392,"endHours":29.30348166613231,"quality":"auspicious"},{"name":"Amṛta","start":"05:18","end":"06:55","startHours":29.30348166613231,"endHours":30.911037416140704,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:55","end":"07:55","startHours":6.9110374161407035,"endHours":7.9110374161407035,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:55","end":"08:55","startHours":7.9110374161407035,"endHours":8.911037416140704,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:55","end":"09:55","startHours":8.911037416140704,"endHours":9.911037416140704,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:55","end":"10:55","startHours":9.911037416140704,"endHours":10.911037416140704,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:55","end":"11:55","startHours":10.911037416140704,"endHours":11.911037416140704,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:55","end":"12:55","startHours":11.911037416140704,"endHours":12.911037416140704,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:55","end":"13:55","startHours":12.911037416140704,"endHours":13.911037416140704,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:55","end":"14:55","startHours":13.911037416140704,"endHours":14.911037416140704,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:55","end":"15:55","startHours":14.911037416140704,"endHours":15.911037416140704,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:55","end":"16:55","startHours":15.911037416140704,"endHours":16.911037416140704,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:55","end":"17:55","startHours":16.911037416140704,"endHours":17.911037416140704,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:55","end":"18:55","startHours":17.911037416140704,"endHours":18.911037416140704,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:55","end":"19:55","startHours":18.911037416140704,"endHours":19.911037416140704,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:55","end":"20:55","startHours":19.911037416140704,"endHours":20.911037416140704,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:55","end":"21:55","startHours":20.911037416140704,"endHours":21.911037416140704,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:55","end":"22:55","startHours":21.911037416140704,"endHours":22.911037416140704,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:55","end":"23:55","startHours":22.911037416140704,"endHours":23.911037416140704,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:55","end":"00:55","startHours":23.911037416140704,"endHours":24.911037416140704,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:55","end":"01:55","startHours":24.911037416140704,"endHours":25.911037416140704,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:55","end":"02:55","startHours":25.911037416140704,"endHours":26.911037416140704,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:55","end":"03:55","startHours":26.911037416140704,"endHours":27.911037416140704,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:55","end":"04:55","startHours":27.911037416140704,"endHours":28.911037416140704,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:55","end":"05:55","startHours":28.911037416140704,"endHours":29.911037416140704,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:55","end":"06:55","startHours":29.911037416140704,"endHours":30.911037416140704,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-East","rahuVasa":"North-West","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.24624360871192,"eotMinutes":4.177935033572184,"ayanamsa":24.4111}},"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 Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","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 Kṛṣṇa Amāvasyā · Vikram 2096 Aṅgirasa · Śaka 1961 Siddhārthī"},"festivals":[],"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā + Jyeṣṭhā","url":"/day/-3137-10-20","relevance":1}]},"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, 2039 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 15, 2039 CE for Kolhāpur, Maharashtra: Kṛṣṇa Amāvasyā, sūryodaya 06:55, sūryāsta 18:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2039-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2039-12-15","sa":"https://sa.vidhyamitra.com/city/kolhapur/2039-12-15","hi":"https://hi.vidhyamitra.com/city/kolhapur/2039-12-15","x-default":"https://vidhyamitra.com/city/kolhapur/2039-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T09:51:46.126Z","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":"2026-06-02T09:51:46.126Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T09:51:46.126Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}