{"id":"vidhyamitra:city-day:kolhapur:2019-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2019-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2019-12-13","date_display":"December 13, 2019 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":2019,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458830.770833,"kali_year":5121,"ahargana":1870365.2708,"sun":{"sidereal_longitude":236.1317,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":65.2944,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":189.1626,"elapsed_within_tithi_degrees":9.1626},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":65.2944,"elapsed_within_degrees":11.961},"yoga":{"number":23,"name":"Śubha","sum_longitude":301.4261},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2019,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2458830.770833,"ahargana":1870365.2708,"kali_year":5121,"ayanamsa_lahiri":24.1317,"grahas":{"sun":{"sidereal_longitude":236.58694000000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":66.76564000000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":-1.0688},"mars":{"sidereal_longitude":201.28823999999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":220.82603999999992,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":248.20554000000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"venus":{"sidereal_longitude":266.66984,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":265.06024,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":79.0471,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":259.0471,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2019,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2458830.770833,"kali_year":5121,"ahargana":1870365.2708,"sun":{"sidereal_longitude":236.1317,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":65.2944,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":189.1626,"elapsed_within_tithi_degrees":9.1626},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":65.2944,"elapsed_within_degrees":11.961},"yoga":{"number":23,"name":"Śubha","sum_longitude":301.4261},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.069,"elongation":170.837},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.069,"opposition_distance":9.163}},"eclipse_window_40days":[{"offset_days":13,"type":"solar","occurs":true,"moon_latitude":0.726,"elongation":0.409}]},"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":"06:54","sunsetLocal":"18:02","solarNoonLocal":"12:28","dayLengthHours":11.14583592509793,"dayLengthDisplay":"11 Hours 08 Mins 45 Secs","nightLengthDisplay":"12 Hours 51 Mins 15 Secs","moonriseLocal":"18:36","moonsetLocal":"07:41","rahuKala":{"name":"Rāhu Kāla","start":"11:04","end":"12:28","startHours":11.07237300520579,"endHours":12.465602495843033,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:15","end":"16:39","startHours":15.252061477117515,"endHours":16.645290967754757,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:17","end":"09:41","startHours":8.285914023931308,"endHours":9.67914351456855,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:52","startHours":9.493379582483584,"endHours":9.864907446653515,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:21","end":"07:39","startHours":7.35709436350648,"endHours":7.654316654842425,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:50","startHours":12.0940746316731,"endHours":12.837130360012962,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:24","end":"06:09","startHours":5.406573076614343,"endHours":6.1496288049542045,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:58","end":"06:54","startHours":5.963864872869239,"endHours":6.892684533294067,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:04","startHours":14.323241816692686,"endHours":15.066297545032548,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:50","end":"18:14","startHours":17.838520458391997,"endHours":18.238520458391996,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:02","end":"18:30","startHours":18.038520458391996,"endHours":18.50293028860441,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:47","end":"19:32","startHours":17.788520458391996,"endHours":19.538520458391996,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:50","startHours":24.0940746316731,"endHours":24.83713036001296,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:54","end":"08:17","startHours":6.892684533294067,"endHours":8.285914023931308,"quality":"neutral"},{"name":"Labha","start":"08:17","end":"09:41","startHours":8.285914023931308,"endHours":9.67914351456855,"quality":"auspicious"},{"name":"Amṛta","start":"09:41","end":"11:04","startHours":9.67914351456855,"endHours":11.07237300520579,"quality":"auspicious"},{"name":"Kāla","start":"11:04","end":"12:28","startHours":11.07237300520579,"endHours":12.465602495843033,"quality":"inauspicious"},{"name":"Śubha","start":"12:28","end":"13:52","startHours":12.465602495843033,"endHours":13.858831986480272,"quality":"auspicious"},{"name":"Roga","start":"13:52","end":"15:15","startHours":13.858831986480272,"endHours":15.252061477117515,"quality":"inauspicious"},{"name":"Udveg","start":"15:15","end":"16:39","startHours":15.252061477117515,"endHours":16.645290967754757,"quality":"inauspicious"},{"name":"Chala","start":"16:39","end":"18:02","startHours":16.645290967754757,"endHours":18.038520458391996,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:02","end":"19:39","startHours":18.038520458391996,"endHours":19.645290967754754,"quality":"inauspicious"},{"name":"Udveg","start":"19:39","end":"21:15","startHours":19.645290967754754,"endHours":21.252061477117515,"quality":"inauspicious"},{"name":"Chala","start":"21:15","end":"22:52","startHours":21.252061477117515,"endHours":22.858831986480272,"quality":"neutral"},{"name":"Labha","start":"22:52","end":"00:28","startHours":22.858831986480272,"endHours":24.46560249584303,"quality":"auspicious"},{"name":"Amṛta","start":"00:28","end":"02:04","startHours":24.46560249584303,"endHours":26.07237300520579,"quality":"auspicious"},{"name":"Kāla","start":"02:04","end":"03:41","startHours":26.07237300520579,"endHours":27.679143514568548,"quality":"inauspicious"},{"name":"Śubha","start":"03:41","end":"05:17","startHours":27.679143514568548,"endHours":29.285914023931305,"quality":"auspicious"},{"name":"Roga","start":"05:17","end":"06:54","startHours":29.285914023931305,"endHours":30.892684533294066,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:54","end":"07:54","startHours":6.892684533294067,"endHours":7.892684533294067,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:54","end":"08:54","startHours":7.892684533294067,"endHours":8.892684533294066,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:54","end":"09:54","startHours":8.892684533294066,"endHours":9.892684533294066,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:54","end":"10:54","startHours":9.892684533294066,"endHours":10.892684533294066,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:54","end":"11:54","startHours":10.892684533294066,"endHours":11.892684533294066,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:54","end":"12:54","startHours":11.892684533294066,"endHours":12.892684533294066,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:54","end":"13:54","startHours":12.892684533294066,"endHours":13.892684533294066,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:54","end":"14:54","startHours":13.892684533294066,"endHours":14.892684533294066,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:54","end":"15:54","startHours":14.892684533294066,"endHours":15.892684533294066,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:54","end":"16:54","startHours":15.892684533294066,"endHours":16.892684533294066,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:54","end":"17:54","startHours":16.892684533294066,"endHours":17.892684533294066,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:54","end":"18:54","startHours":17.892684533294066,"endHours":18.892684533294066,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:54","end":"19:54","startHours":18.892684533294066,"endHours":19.892684533294066,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:54","end":"20:54","startHours":19.892684533294066,"endHours":20.892684533294066,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:54","end":"21:54","startHours":20.892684533294066,"endHours":21.892684533294066,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:54","end":"22:54","startHours":21.892684533294066,"endHours":22.892684533294066,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:54","end":"23:54","startHours":22.892684533294066,"endHours":23.892684533294066,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:54","end":"00:54","startHours":23.892684533294066,"endHours":24.892684533294066,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:54","end":"01:54","startHours":24.892684533294066,"endHours":25.892684533294066,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:54","end":"02:54","startHours":25.892684533294066,"endHours":26.892684533294066,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:54","end":"03:54","startHours":26.892684533294066,"endHours":27.892684533294066,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:54","end":"04:54","startHours":27.892684533294066,"endHours":28.892684533294066,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:54","end":"05:54","startHours":28.892684533294066,"endHours":29.892684533294066,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:54","end":"06:54","startHours":29.892684533294066,"endHours":30.892684533294066,"planetary_lord":"Mars"}],"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":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"South-East","anandadiYoga":{"name":"Rākṣasa","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":-23.11173136533643,"eotMinutes":5.090650249418121,"ayanamsa":24.1317}},"calendars":{"vikram_samvat":2076,"vikram_samvatsara":"Paridhāvi","saka_samvat":1941,"saka_samvatsara":"Vikāri","bengali_samvat":1426,"malayalam_era":1195,"nanakshahi_year":550,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Pratipada · Vikram 2076 Paridhāvi · Śaka 1941 Vikāri"},"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}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 13, 2019 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 13, 2019 CE for Kolhāpur, Maharashtra: Kṛṣṇa Pratipada, sūryodaya 06:54, sūryāsta 18:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2019-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2019-12-13","sa":"https://sa.vidhyamitra.com/city/kolhapur/2019-12-13","hi":"https://hi.vidhyamitra.com/city/kolhapur/2019-12-13","x-default":"https://vidhyamitra.com/city/kolhapur/2019-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T14:33:52.168Z","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":"2026-05-15T14:33:52.168Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T14:33:52.168Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}