{"id":"vidhyamitra:city-day:kolhapur:1878-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/1878-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1878-12-13","date_display":"December 13, 1878 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":1878,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2407331.770833,"kali_year":4980,"ahargana":1818866.2708,"sun":{"sidereal_longitude":238.6799,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":97.5321,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.8522,"elapsed_within_tithi_degrees":2.8522},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":97.5321,"elapsed_within_degrees":4.1988},"yoga":{"number":26,"name":"Indra","sum_longitude":336.212},"karana":{"half_tithi_index":36,"name":"Bava"},"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":1878,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2407331.770833,"ahargana":1818866.2708,"kali_year":4980,"ayanamsa_lahiri":22.162,"grahas":{"sun":{"sidereal_longitude":238.78088100000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":97.13658099999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false,"latitude":0.7945},"mars":{"sidereal_longitude":211.670481,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":260.510081,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":285.766381,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"venus":{"sidereal_longitude":242.246981,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":335.141481,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":287.712,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":107.712,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"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":1878,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2407331.770833,"kali_year":4980,"ahargana":1818866.2708,"sun":{"sidereal_longitude":238.6799,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":97.5321,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.8522,"elapsed_within_tithi_degrees":2.8522},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":97.5321,"elapsed_within_degrees":4.1988},"yoga":{"number":26,"name":"Indra","sum_longitude":336.212},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.795,"elongation":141.148},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.795,"opposition_distance":38.852}},"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":11.145114869231374,"dayLengthDisplay":"11 Hours 08 Mins 42 Secs","nightLengthDisplay":"12 Hours 51 Mins 18 Secs","moonriseLocal":"20:33","moonsetLocal":"09:29","rahuKala":{"name":"Rāhu Kāla","start":"11:04","end":"12:28","startHours":11.072463137189107,"endHours":12.46560249584303,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:15","end":"16:39","startHours":15.251881213150874,"endHours":16.645020571804796,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:17","end":"09:41","startHours":8.286184419881264,"endHours":9.679323778535187,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:52","startHours":9.493571864047997,"endHours":9.865075693022376,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:21","end":"07:39","startHours":7.357424847445317,"endHours":7.6546279106248205,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:50","startHours":12.094098666868652,"endHours":12.83710632481741,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:24","end":"06:09","startHours":5.407029745329826,"endHours":6.150037403278585,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:58","end":"06:54","startHours":5.964285488791395,"endHours":6.893045061227343,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:04","startHours":14.323121640714927,"endHours":15.066129298663686,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:50","end":"18:14","startHours":17.83815993045872,"endHours":18.238159930458718,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:02","end":"18:30","startHours":18.03815993045872,"endHours":18.502539716676694,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:47","end":"19:32","startHours":17.78815993045872,"endHours":19.53815993045872,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:50","startHours":24.09409866686865,"endHours":24.83710632481741,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:54","end":"08:17","startHours":6.893045061227343,"endHours":8.286184419881264,"quality":"neutral"},{"name":"Labha","start":"08:17","end":"09:41","startHours":8.286184419881264,"endHours":9.679323778535187,"quality":"auspicious"},{"name":"Amṛta","start":"09:41","end":"11:04","startHours":9.679323778535187,"endHours":11.072463137189107,"quality":"auspicious"},{"name":"Kāla","start":"11:04","end":"12:28","startHours":11.072463137189107,"endHours":12.46560249584303,"quality":"inauspicious"},{"name":"Śubha","start":"12:28","end":"13:52","startHours":12.46560249584303,"endHours":13.858741854496952,"quality":"auspicious"},{"name":"Roga","start":"13:52","end":"15:15","startHours":13.858741854496952,"endHours":15.251881213150874,"quality":"inauspicious"},{"name":"Udveg","start":"15:15","end":"16:39","startHours":15.251881213150874,"endHours":16.645020571804796,"quality":"inauspicious"},{"name":"Chala","start":"16:39","end":"18:02","startHours":16.645020571804796,"endHours":18.03815993045872,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:02","end":"19:39","startHours":18.03815993045872,"endHours":19.645020571804796,"quality":"inauspicious"},{"name":"Udveg","start":"19:39","end":"21:15","startHours":19.645020571804796,"endHours":21.251881213150874,"quality":"inauspicious"},{"name":"Chala","start":"21:15","end":"22:52","startHours":21.251881213150874,"endHours":22.858741854496955,"quality":"neutral"},{"name":"Labha","start":"22:52","end":"00:28","startHours":22.858741854496955,"endHours":24.46560249584303,"quality":"auspicious"},{"name":"Amṛta","start":"00:28","end":"02:04","startHours":24.46560249584303,"endHours":26.07246313718911,"quality":"auspicious"},{"name":"Kāla","start":"02:04","end":"03:41","startHours":26.07246313718911,"endHours":27.67932377853519,"quality":"inauspicious"},{"name":"Śubha","start":"03:41","end":"05:17","startHours":27.67932377853519,"endHours":29.286184419881266,"quality":"auspicious"},{"name":"Roga","start":"05:17","end":"06:54","startHours":29.286184419881266,"endHours":30.893045061227344,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:54","end":"07:54","startHours":6.893045061227343,"endHours":7.893045061227343,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:54","end":"08:54","startHours":7.893045061227343,"endHours":8.893045061227344,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:54","end":"09:54","startHours":8.893045061227344,"endHours":9.893045061227344,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:54","end":"10:54","startHours":9.893045061227344,"endHours":10.893045061227344,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:54","end":"11:54","startHours":10.893045061227344,"endHours":11.893045061227344,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:54","end":"12:54","startHours":11.893045061227344,"endHours":12.893045061227344,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:54","end":"13:54","startHours":12.893045061227344,"endHours":13.893045061227344,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:54","end":"14:54","startHours":13.893045061227344,"endHours":14.893045061227344,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:54","end":"15:54","startHours":14.893045061227344,"endHours":15.893045061227344,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:54","end":"16:54","startHours":15.893045061227344,"endHours":16.893045061227344,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:54","end":"17:54","startHours":16.893045061227344,"endHours":17.893045061227344,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:54","end":"18:54","startHours":17.893045061227344,"endHours":18.893045061227344,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:54","end":"19:54","startHours":18.893045061227344,"endHours":19.893045061227344,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:54","end":"20:54","startHours":19.893045061227344,"endHours":20.893045061227344,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:54","end":"21:54","startHours":20.893045061227344,"endHours":21.893045061227344,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:54","end":"22:54","startHours":21.893045061227344,"endHours":22.893045061227344,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:54","end":"23:54","startHours":22.893045061227344,"endHours":23.893045061227344,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:54","end":"00:54","startHours":23.893045061227344,"endHours":24.893045061227344,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:54","end":"01:54","startHours":24.893045061227344,"endHours":25.893045061227344,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:54","end":"02:54","startHours":25.893045061227344,"endHours":26.893045061227344,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:54","end":"03:54","startHours":26.893045061227344,"endHours":27.893045061227344,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:54","end":"04:54","startHours":27.893045061227344,"endHours":28.893045061227344,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:54","end":"05:54","startHours":28.893045061227344,"endHours":29.893045061227344,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:54","end":"06:54","startHours":29.893045061227344,"endHours":30.893045061227344,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Dhātṛ","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":-23.12718463923072,"eotMinutes":5.090650249418121,"ayanamsa":22.162}},"calendars":{"vikram_samvat":1935,"vikram_samvatsara":"Khara","saka_samvat":1800,"saka_samvatsara":"Bahudhānya","bengali_samvat":1285,"malayalam_era":1054,"nanakshahi_year":409,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Pauṣa Kṛṣṇa Caturthī · Vikram 1935 Khara · Śaka 1800 Bahudhānya"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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, 1878 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 13, 1878 CE for Kolhāpur, Maharashtra: Kṛṣṇa Caturthī, sūryodaya 06:54, sūryāsta 18:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/1878-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/1878-12-13","sa":"https://sa.vidhyamitra.com/city/kolhapur/1878-12-13","hi":"https://hi.vidhyamitra.com/city/kolhapur/1878-12-13","x-default":"https://vidhyamitra.com/city/kolhapur/1878-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T05:09:24.720Z","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":"2026-06-03T05:09:24.720Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T05:09:24.720Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}