{"id":"vidhyamitra:city-day:kolhapur:2080-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2080-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2080-12-13","date_display":"December 13, 2080 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":2080,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481111.770833,"kali_year":5182,"ahargana":1892646.2708,"sun":{"sidereal_longitude":236.3531,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":258.7558,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":22.4028,"elapsed_within_tithi_degrees":10.4028},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":258.7558,"elapsed_within_degrees":5.4225},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":135.1089},"karana":{"half_tithi_index":3,"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":2080,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2481111.770833,"ahargana":1892646.2708,"kali_year":5182,"ayanamsa_lahiri":24.9838,"grahas":{"sun":{"sidereal_longitude":236.95124199999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":256.75294199999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false,"latitude":-4.4279},"mars":{"sidereal_longitude":308.77114200000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":241.39474199999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":292.897242,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"venus":{"sidereal_longitude":282.66204200000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":286.39614200000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":338.4925,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":158.4925,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":2080,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2481111.770833,"kali_year":5182,"ahargana":1892646.2708,"sun":{"sidereal_longitude":236.3531,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":258.7558,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":22.4028,"elapsed_within_tithi_degrees":10.4028},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":258.7558,"elapsed_within_degrees":5.4225},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":135.1089},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.428,"elongation":22.403},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.428,"opposition_distance":157.597}},"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":"06:54","sunsetLocal":"18:02","solarNoonLocal":"12:28","dayLengthHours":11.142131923457438,"dayLengthDisplay":"11 Hours 08 Mins 32 Secs","nightLengthDisplay":"12 Hours 51 Mins 28 Secs","moonriseLocal":"08:14","moonsetLocal":"19:21","rahuKala":{"name":"Rāhu Kāla","start":"11:04","end":"12:28","startHours":11.07283600541085,"endHours":12.46560249584303,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:15","end":"16:39","startHours":15.25113547670739,"endHours":16.64390196713957,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:17","end":"09:41","startHours":8.28730302454649,"endHours":9.68006951497867,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:52","startHours":9.49436731625438,"endHours":9.865771713702962,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:22","end":"07:39","startHours":7.358792030925038,"endHours":7.655915548883903,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:50","startHours":12.09419809839445,"endHours":12.837006893291612,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:25","end":"06:09","startHours":5.4089189443199865,"endHours":6.151727739217149,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:58","end":"06:54","startHours":5.966025540492859,"endHours":6.894536534114311,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:04","startHours":14.322624483085937,"endHours":15.0654332779831,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:50","end":"18:14","startHours":17.83666845757175,"endHours":18.23666845757175,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:02","end":"18:30","startHours":18.03666845757175,"endHours":18.500923954382476,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:47","end":"19:32","startHours":17.78666845757175,"endHours":19.53666845757175,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:50","startHours":24.094198098394447,"endHours":24.837006893291612,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:54","end":"08:17","startHours":6.894536534114311,"endHours":8.28730302454649,"quality":"neutral"},{"name":"Labha","start":"08:17","end":"09:41","startHours":8.28730302454649,"endHours":9.68006951497867,"quality":"auspicious"},{"name":"Amṛta","start":"09:41","end":"11:04","startHours":9.68006951497867,"endHours":11.07283600541085,"quality":"auspicious"},{"name":"Kāla","start":"11:04","end":"12:28","startHours":11.07283600541085,"endHours":12.46560249584303,"quality":"inauspicious"},{"name":"Śubha","start":"12:28","end":"13:52","startHours":12.46560249584303,"endHours":13.85836898627521,"quality":"auspicious"},{"name":"Roga","start":"13:52","end":"15:15","startHours":13.85836898627521,"endHours":15.25113547670739,"quality":"inauspicious"},{"name":"Udveg","start":"15:15","end":"16:39","startHours":15.25113547670739,"endHours":16.64390196713957,"quality":"inauspicious"},{"name":"Chala","start":"16:39","end":"18:02","startHours":16.64390196713957,"endHours":18.03666845757175,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:02","end":"19:39","startHours":18.03666845757175,"endHours":19.64390196713957,"quality":"inauspicious"},{"name":"Udveg","start":"19:39","end":"21:15","startHours":19.64390196713957,"endHours":21.25113547670739,"quality":"inauspicious"},{"name":"Chala","start":"21:15","end":"22:52","startHours":21.25113547670739,"endHours":22.85836898627521,"quality":"neutral"},{"name":"Labha","start":"22:52","end":"00:28","startHours":22.85836898627521,"endHours":24.46560249584303,"quality":"auspicious"},{"name":"Amṛta","start":"00:28","end":"02:04","startHours":24.46560249584303,"endHours":26.07283600541085,"quality":"auspicious"},{"name":"Kāla","start":"02:04","end":"03:41","startHours":26.07283600541085,"endHours":27.680069514978673,"quality":"inauspicious"},{"name":"Śubha","start":"03:41","end":"05:17","startHours":27.680069514978673,"endHours":29.287303024546492,"quality":"auspicious"},{"name":"Roga","start":"05:17","end":"06:54","startHours":29.287303024546492,"endHours":30.894536534114312,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:54","end":"07:54","startHours":6.894536534114311,"endHours":7.894536534114311,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:54","end":"08:54","startHours":7.894536534114311,"endHours":8.894536534114312,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:54","end":"09:54","startHours":8.894536534114312,"endHours":9.894536534114312,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:54","end":"10:54","startHours":9.894536534114312,"endHours":10.894536534114312,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:54","end":"11:54","startHours":10.894536534114312,"endHours":11.894536534114312,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:54","end":"12:54","startHours":11.894536534114312,"endHours":12.894536534114312,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:54","end":"13:54","startHours":12.894536534114312,"endHours":13.894536534114312,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:54","end":"14:54","startHours":13.894536534114312,"endHours":14.894536534114312,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:54","end":"15:54","startHours":14.894536534114312,"endHours":15.894536534114312,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:54","end":"16:54","startHours":15.894536534114312,"endHours":16.894536534114312,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:54","end":"17:54","startHours":16.894536534114312,"endHours":17.894536534114312,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:54","end":"18:54","startHours":17.894536534114312,"endHours":18.894536534114312,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:54","end":"19:54","startHours":18.894536534114312,"endHours":19.894536534114312,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:54","end":"20:54","startHours":19.894536534114312,"endHours":20.894536534114312,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:54","end":"21:54","startHours":20.894536534114312,"endHours":21.894536534114312,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:54","end":"22:54","startHours":21.894536534114312,"endHours":22.894536534114312,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:54","end":"23:54","startHours":22.894536534114312,"endHours":23.894536534114312,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:54","end":"00:54","startHours":23.894536534114312,"endHours":24.894536534114312,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:54","end":"01:54","startHours":24.894536534114312,"endHours":25.894536534114312,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:54","end":"02:54","startHours":25.894536534114312,"endHours":26.894536534114312,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:54","end":"03:54","startHours":26.894536534114312,"endHours":27.894536534114312,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:54","end":"04:54","startHours":27.894536534114312,"endHours":28.894536534114312,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:54","end":"05:54","startHours":28.894536534114312,"endHours":29.894536534114312,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:54","end":"06:54","startHours":29.894536534114312,"endHours":30.894536534114312,"planetary_lord":"Mars"}],"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":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.19107602284599,"eotMinutes":5.090650249418121,"ayanamsa":24.9838}},"calendars":{"vikram_samvat":2137,"vikram_samvatsara":"Pramādī","saka_samvat":2002,"saka_samvatsara":"Śārvarī","bengali_samvat":1487,"malayalam_era":1256,"nanakshahi_year":611,"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":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Dvitīyā · Vikram 2137 Pramādī · Śaka 2002 Śārvarī"},"festivals":[],"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, 2080 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 13, 2080 CE for Kolhāpur, Maharashtra: Śukla Dvitīyā, sūryodaya 06:54, sūryāsta 18:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2080-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2080-12-13","sa":"https://sa.vidhyamitra.com/city/kolhapur/2080-12-13","hi":"https://hi.vidhyamitra.com/city/kolhapur/2080-12-13","x-default":"https://vidhyamitra.com/city/kolhapur/2080-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T12:43:09.054Z","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":"2026-05-31T12:43:09.054Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T12:43:09.054Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}