{"id":"vidhyamitra:city-day:kolhapur:1867-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/1867-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1867-12-15","date_display":"December 15, 1867 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":1867,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2403315.770833,"kali_year":4969,"ahargana":1814850.2708,"sun":{"sidereal_longitude":240.5745,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":106.9197,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":226.3452,"elapsed_within_tithi_degrees":10.3452},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":106.9197,"elapsed_within_degrees":0.253},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":347.4941},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1867,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2403315.770833,"ahargana":1814850.2708,"kali_year":4969,"ayanamsa_lahiri":22.0084,"grahas":{"sun":{"sidereal_longitude":240.63372100000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":110.18172099999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false,"latitude":-2.4871},"mars":{"sidereal_longitude":247.13262099999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":222.161521,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":312.07562099999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":262.48682099999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":218.62322100000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":140.499,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":320.499,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":1867,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2403315.770833,"kali_year":4969,"ahargana":1814850.2708,"sun":{"sidereal_longitude":240.5745,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":106.9197,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":226.3452,"elapsed_within_tithi_degrees":10.3452},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":106.9197,"elapsed_within_degrees":0.253},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":347.4941},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.487,"elongation":133.655},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.487,"opposition_distance":46.345}},"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":11.140213454637035,"dayLengthDisplay":"11 Hours 08 Mins 25 Secs","nightLengthDisplay":"12 Hours 51 Mins 35 Secs","moonriseLocal":"21:23","moonsetLocal":"10:11","rahuKala":{"name":"Rāhu Kāla","start":"16:40","end":"18:03","startHours":16.658394461596018,"endHours":18.050921143425647,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:29","end":"13:52","startHours":12.48081441610713,"endHours":13.873341097936759,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:16","end":"16:40","startHours":15.265867779766388,"endHours":16.658394461596018,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:53","startHours":9.510090828203921,"endHours":9.881431276691822,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:22","end":"07:40","startHours":7.37488324939849,"endHours":7.671955608188811,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:51","startHours":12.109473967619229,"endHours":12.85215486459503,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:26","end":"06:10","startHours":5.425345894837008,"endHours":6.168026791812811,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:59","end":"06:55","startHours":5.982356567568861,"endHours":6.910707688788613,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:05","startHours":14.337516658546637,"endHours":15.080197555522439,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:51","end":"18:15","startHours":17.850921143425648,"endHours":18.250921143425646,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:03","end":"18:31","startHours":18.050921143425647,"endHours":18.515096704035525,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:48","end":"19:33","startHours":17.800921143425647,"endHours":19.550921143425647,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:51","startHours":24.109473967619227,"endHours":24.852154864595033,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:55","end":"08:18","startHours":6.910707688788613,"endHours":8.303234370618242,"quality":"inauspicious"},{"name":"Chala","start":"08:18","end":"09:42","startHours":8.303234370618242,"endHours":9.695761052447871,"quality":"neutral"},{"name":"Labha","start":"09:42","end":"11:05","startHours":9.695761052447871,"endHours":11.0882877342775,"quality":"auspicious"},{"name":"Amṛta","start":"11:05","end":"12:29","startHours":11.0882877342775,"endHours":12.48081441610713,"quality":"auspicious"},{"name":"Kāla","start":"12:29","end":"13:52","startHours":12.48081441610713,"endHours":13.873341097936759,"quality":"inauspicious"},{"name":"Śubha","start":"13:52","end":"15:16","startHours":13.873341097936759,"endHours":15.265867779766388,"quality":"auspicious"},{"name":"Roga","start":"15:16","end":"16:40","startHours":15.265867779766388,"endHours":16.658394461596018,"quality":"inauspicious"},{"name":"Udveg","start":"16:40","end":"18:03","startHours":16.658394461596018,"endHours":18.050921143425647,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:03","end":"19:40","startHours":18.050921143425647,"endHours":19.658394461596018,"quality":"auspicious"},{"name":"Roga","start":"19:40","end":"21:16","startHours":19.658394461596018,"endHours":21.26586777976639,"quality":"inauspicious"},{"name":"Udveg","start":"21:16","end":"22:52","startHours":21.26586777976639,"endHours":22.87334109793676,"quality":"inauspicious"},{"name":"Chala","start":"22:52","end":"00:29","startHours":22.87334109793676,"endHours":24.48081441610713,"quality":"neutral"},{"name":"Labha","start":"00:29","end":"02:05","startHours":24.48081441610713,"endHours":26.0882877342775,"quality":"auspicious"},{"name":"Amṛta","start":"02:05","end":"03:42","startHours":26.0882877342775,"endHours":27.69576105244787,"quality":"auspicious"},{"name":"Kāla","start":"03:42","end":"05:18","startHours":27.69576105244787,"endHours":29.30323437061824,"quality":"inauspicious"},{"name":"Śubha","start":"05:18","end":"06:55","startHours":29.30323437061824,"endHours":30.910707688788612,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:55","end":"07:55","startHours":6.910707688788613,"endHours":7.910707688788613,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:55","end":"08:55","startHours":7.910707688788613,"endHours":8.910707688788612,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:55","end":"09:55","startHours":8.910707688788612,"endHours":9.910707688788612,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:55","end":"10:55","startHours":9.910707688788612,"endHours":10.910707688788612,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:55","end":"11:55","startHours":10.910707688788612,"endHours":11.910707688788612,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:55","end":"12:55","startHours":11.910707688788612,"endHours":12.910707688788612,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:55","end":"13:55","startHours":12.910707688788612,"endHours":13.910707688788612,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:55","end":"14:55","startHours":13.910707688788612,"endHours":14.910707688788612,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:55","end":"15:55","startHours":14.910707688788612,"endHours":15.910707688788612,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:55","end":"16:55","startHours":15.910707688788612,"endHours":16.910707688788612,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:55","end":"17:55","startHours":16.910707688788612,"endHours":17.910707688788612,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:55","end":"18:55","startHours":17.910707688788612,"endHours":18.910707688788612,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:55","end":"19:55","startHours":18.910707688788612,"endHours":19.910707688788612,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:55","end":"20:55","startHours":19.910707688788612,"endHours":20.910707688788612,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:55","end":"21:55","startHours":20.910707688788612,"endHours":21.910707688788612,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:55","end":"22:55","startHours":21.910707688788612,"endHours":22.910707688788612,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:55","end":"23:55","startHours":22.910707688788612,"endHours":23.910707688788612,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:55","end":"00:55","startHours":23.910707688788612,"endHours":24.910707688788612,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:55","end":"01:55","startHours":24.910707688788612,"endHours":25.910707688788612,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:55","end":"02:55","startHours":25.910707688788612,"endHours":26.910707688788612,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:55","end":"03:55","startHours":26.910707688788612,"endHours":27.910707688788612,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:55","end":"04:55","startHours":27.910707688788612,"endHours":28.910707688788612,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:55","end":"05:55","startHours":28.910707688788612,"endHours":29.910707688788612,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:55","end":"06:55","startHours":29.910707688788612,"endHours":30.910707688788612,"planetary_lord":"Jupiter"}],"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","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.232135571061665,"eotMinutes":4.177935033572184,"ayanamsa":22.0084}},"calendars":{"vikram_samvat":1924,"vikram_samvatsara":"Vikrama","saka_samvat":1789,"saka_samvatsara":"Prabhava","bengali_samvat":1274,"malayalam_era":1043,"nanakshahi_year":398,"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":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Caturthī · Vikram 1924 Vikrama · Śaka 1789 Prabhava"},"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 15, 1867 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 15, 1867 CE for Kolhāpur, Maharashtra: Kṛṣṇa Caturthī, sūryodaya 06:55, sūryāsta 18:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/1867-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/1867-12-15","sa":"https://sa.vidhyamitra.com/city/kolhapur/1867-12-15","hi":"https://hi.vidhyamitra.com/city/kolhapur/1867-12-15","x-default":"https://vidhyamitra.com/city/kolhapur/1867-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T21:04:44.026Z","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":"2026-05-31T21:04:44.026Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T21:04:44.026Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}