{"id":"vidhyamitra:city-day:kolhapur:1865-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/1865-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1865-12-13","date_display":"December 13, 1865 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":1865,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402583.770833,"kali_year":4967,"ahargana":1814118.2708,"sun":{"sidereal_longitude":239.0532,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":180.1969,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":301.1437,"elapsed_within_tithi_degrees":1.1437},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":180.1969,"elapsed_within_degrees":6.8636},"yoga":{"number":5,"name":"Śobhana","sum_longitude":59.2501},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1865,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2402583.770833,"ahargana":1814118.2708,"kali_year":4967,"ayanamsa_lahiri":21.9804,"grahas":{"sun":{"sidereal_longitude":239.120589,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":182.028589,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false,"latitude":0.0716},"mars":{"sidereal_longitude":231.55108900000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":259.391789,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":256.52798899999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":223.03008899999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":197.503289,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":179.2839,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":359.2839,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":1865,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2402583.770833,"kali_year":4967,"ahargana":1814118.2708,"sun":{"sidereal_longitude":239.0532,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":180.1969,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":301.1437,"elapsed_within_tithi_degrees":1.1437},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":180.1969,"elapsed_within_degrees":6.8636},"yoga":{"number":5,"name":"Śobhana","sum_longitude":59.2501},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.072,"elongation":58.856},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.072,"opposition_distance":121.144}},"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":11.144616834103086,"dayLengthDisplay":"11 Hours 08 Mins 41 Secs","nightLengthDisplay":"12 Hours 51 Mins 19 Secs","moonriseLocal":"02:48","moonsetLocal":"14:31","rahuKala":{"name":"Rāhu Kāla","start":"12:28","end":"13:52","startHours":12.465602495843031,"endHours":13.858679600105917,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:17","end":"09:41","startHours":8.286371183054374,"endHours":9.67944828731726,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:04","end":"12:28","startHours":11.072525391580145,"endHours":12.465602495843031,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:52","startHours":9.493704673415541,"endHours":9.865191901218978,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:21","end":"07:39","startHours":7.357653113545783,"endHours":7.654842895788533,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:50","startHours":12.094115268039594,"endHours":12.837089723646468,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:24","end":"06:09","startHours":5.407345167577743,"endHours":6.150319623184616,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:58","end":"06:54","startHours":5.964576009282897,"endHours":6.893294078791488,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:04","startHours":14.323038634860211,"endHours":15.066013090467083,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:50","end":"18:14","startHours":17.837910912894575,"endHours":18.237910912894574,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:02","end":"18:30","startHours":18.037910912894574,"endHours":18.50226994764887,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:47","end":"19:32","startHours":17.787910912894574,"endHours":19.537910912894574,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:50","startHours":24.094115268039594,"endHours":24.837089723646464,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:54","end":"08:17","startHours":6.893294078791488,"endHours":8.286371183054374,"quality":"auspicious"},{"name":"Amṛta","start":"08:17","end":"09:41","startHours":8.286371183054374,"endHours":9.67944828731726,"quality":"auspicious"},{"name":"Kāla","start":"09:41","end":"11:04","startHours":9.67944828731726,"endHours":11.072525391580145,"quality":"inauspicious"},{"name":"Śubha","start":"11:04","end":"12:28","startHours":11.072525391580145,"endHours":12.465602495843031,"quality":"auspicious"},{"name":"Roga","start":"12:28","end":"13:52","startHours":12.465602495843031,"endHours":13.858679600105917,"quality":"inauspicious"},{"name":"Udveg","start":"13:52","end":"15:15","startHours":13.858679600105917,"endHours":15.251756704368802,"quality":"inauspicious"},{"name":"Chala","start":"15:15","end":"16:39","startHours":15.251756704368802,"endHours":16.644833808631688,"quality":"neutral"},{"name":"Labha","start":"16:39","end":"18:02","startHours":16.644833808631688,"endHours":18.037910912894574,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:02","end":"19:39","startHours":18.037910912894574,"endHours":19.644833808631688,"quality":"inauspicious"},{"name":"Chala","start":"19:39","end":"21:15","startHours":19.644833808631688,"endHours":21.251756704368802,"quality":"neutral"},{"name":"Labha","start":"21:15","end":"22:52","startHours":21.251756704368802,"endHours":22.858679600105916,"quality":"auspicious"},{"name":"Amṛta","start":"22:52","end":"00:28","startHours":22.858679600105916,"endHours":24.46560249584303,"quality":"auspicious"},{"name":"Kāla","start":"00:28","end":"02:04","startHours":24.46560249584303,"endHours":26.072525391580143,"quality":"inauspicious"},{"name":"Śubha","start":"02:04","end":"03:41","startHours":26.072525391580143,"endHours":27.67944828731726,"quality":"auspicious"},{"name":"Roga","start":"03:41","end":"05:17","startHours":27.67944828731726,"endHours":29.286371183054374,"quality":"inauspicious"},{"name":"Udveg","start":"05:17","end":"06:54","startHours":29.286371183054374,"endHours":30.893294078791488,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:54","end":"07:54","startHours":6.893294078791488,"endHours":7.893294078791488,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:54","end":"08:54","startHours":7.893294078791488,"endHours":8.893294078791488,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:54","end":"09:54","startHours":8.893294078791488,"endHours":9.893294078791488,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:54","end":"10:54","startHours":9.893294078791488,"endHours":10.893294078791488,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:54","end":"11:54","startHours":10.893294078791488,"endHours":11.893294078791488,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:54","end":"12:54","startHours":11.893294078791488,"endHours":12.893294078791488,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:54","end":"13:54","startHours":12.893294078791488,"endHours":13.893294078791488,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:54","end":"14:54","startHours":13.893294078791488,"endHours":14.893294078791488,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:54","end":"15:54","startHours":14.893294078791488,"endHours":15.893294078791488,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:54","end":"16:54","startHours":15.893294078791488,"endHours":16.893294078791488,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:54","end":"17:54","startHours":16.893294078791488,"endHours":17.893294078791488,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:54","end":"18:54","startHours":17.893294078791488,"endHours":18.893294078791488,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:54","end":"19:54","startHours":18.893294078791488,"endHours":19.893294078791488,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:54","end":"20:54","startHours":19.893294078791488,"endHours":20.893294078791488,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:54","end":"21:54","startHours":20.893294078791488,"endHours":21.893294078791488,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:54","end":"22:54","startHours":21.893294078791488,"endHours":22.893294078791488,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:54","end":"23:54","startHours":22.893294078791488,"endHours":23.893294078791488,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:54","end":"00:54","startHours":23.893294078791488,"endHours":24.893294078791488,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:54","end":"01:54","startHours":24.893294078791488,"endHours":25.893294078791488,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:54","end":"02:54","startHours":25.893294078791488,"endHours":26.893294078791488,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:54","end":"03:54","startHours":26.893294078791488,"endHours":27.893294078791488,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:54","end":"04:54","startHours":27.893294078791488,"endHours":28.893294078791488,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:54","end":"05:54","startHours":28.893294078791488,"endHours":29.893294078791488,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:54","end":"06:54","startHours":29.893294078791488,"endHours":30.893294078791488,"planetary_lord":"Sun"}],"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","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","anandadiYoga":{"name":"Cara","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":-23.137856196534003,"eotMinutes":5.090650249418121,"ayanamsa":21.9804}},"calendars":{"vikram_samvat":1922,"vikram_samvatsara":"Bahudhānya","saka_samvat":1787,"saka_samvatsara":"Krodhana","bengali_samvat":1272,"malayalam_era":1041,"nanakshahi_year":396,"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 Ekādaśī · Vikram 1922 Bahudhānya · Śaka 1787 Krodhana"},"festivals":[{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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, 1865 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 13, 1865 CE for Kolhāpur, Maharashtra: Kṛṣṇa Ekādaśī, sūryodaya 06:54, sūryāsta 18:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/1865-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/1865-12-13","sa":"https://sa.vidhyamitra.com/city/kolhapur/1865-12-13","hi":"https://hi.vidhyamitra.com/city/kolhapur/1865-12-13","x-default":"https://vidhyamitra.com/city/kolhapur/1865-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T18:12:25.215Z","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":"2026-05-31T18:12:25.215Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T18:12:25.215Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}