{"id":"vidhyamitra:city-day:kolhapur:1874-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/1874-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1874-12-15","date_display":"December 15, 1874 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":1874,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2405872.770833,"kali_year":4976,"ahargana":1817407.2708,"sun":{"sidereal_longitude":240.7681,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":314.3947,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":73.6266,"elapsed_within_tithi_degrees":1.6266},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3,"moon_longitude":314.3947,"elapsed_within_degrees":7.7281},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.1629},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1874,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2405872.770833,"ahargana":1817407.2708,"kali_year":4976,"ayanamsa_lahiri":22.1062,"grahas":{"sun":{"sidereal_longitude":240.842625,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":312.25402499999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false,"latitude":-3.477},"mars":{"sidereal_longitude":185.26092500000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":225.62762499999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":185.39352499999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":233.14662499999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":289.85152500000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":5.0168,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":185.0168,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":1874,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2405872.770833,"kali_year":4976,"ahargana":1817407.2708,"sun":{"sidereal_longitude":240.7681,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":314.3947,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":73.6266,"elapsed_within_tithi_degrees":1.6266},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3,"moon_longitude":314.3947,"elapsed_within_degrees":7.7281},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.1629},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.477,"elongation":73.627},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.477,"opposition_distance":106.373}},"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":11.139435191588847,"dayLengthDisplay":"11 Hours 08 Mins 22 Secs","nightLengthDisplay":"12 Hours 51 Mins 38 Secs","moonriseLocal":"11:24","moonsetLocal":"23:05","rahuKala":{"name":"Rāhu Kāla","start":"15:16","end":"16:39","startHours":15.265673214004341,"endHours":16.658102612952945,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:42","end":"11:05","startHours":9.695955618209917,"endHours":11.088385017158522,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:29","end":"13:52","startHours":12.48081441610713,"endHours":13.873243815055734,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:53","startHours":9.51029836501677,"endHours":9.881612871403064,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:23","end":"07:40","startHours":7.375239953295574,"endHours":7.672291558404609,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:51","startHours":12.109499909720835,"endHours":12.852128922493424,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:26","end":"06:10","startHours":5.425838794767526,"endHours":6.168467807540115,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:59","end":"06:55","startHours":5.982810554346968,"endHours":6.9110968203127054,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:05","startHours":14.337386948038603,"endHours":15.080015960811192,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:51","end":"18:15","startHours":17.850532011901553,"endHours":18.25053201190155,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:03","end":"18:31","startHours":18.050532011901552,"endHours":18.51467514488442,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:48","end":"19:33","startHours":17.800532011901552,"endHours":19.550532011901552,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:51","startHours":24.109499909720835,"endHours":24.852128922493424,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:55","end":"08:18","startHours":6.9110968203127054,"endHours":8.303526219261311,"quality":"inauspicious"},{"name":"Udveg","start":"08:18","end":"09:42","startHours":8.303526219261311,"endHours":9.695955618209917,"quality":"inauspicious"},{"name":"Chala","start":"09:42","end":"11:05","startHours":9.695955618209917,"endHours":11.088385017158522,"quality":"neutral"},{"name":"Labha","start":"11:05","end":"12:29","startHours":11.088385017158522,"endHours":12.48081441610713,"quality":"auspicious"},{"name":"Amṛta","start":"12:29","end":"13:52","startHours":12.48081441610713,"endHours":13.873243815055734,"quality":"auspicious"},{"name":"Kāla","start":"13:52","end":"15:16","startHours":13.873243815055734,"endHours":15.265673214004341,"quality":"inauspicious"},{"name":"Śubha","start":"15:16","end":"16:39","startHours":15.265673214004341,"endHours":16.658102612952945,"quality":"auspicious"},{"name":"Roga","start":"16:39","end":"18:03","startHours":16.658102612952945,"endHours":18.050532011901552,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:03","end":"19:39","startHours":18.050532011901552,"endHours":19.658102612952945,"quality":"inauspicious"},{"name":"Śubha","start":"19:39","end":"21:16","startHours":19.658102612952945,"endHours":21.26567321400434,"quality":"auspicious"},{"name":"Roga","start":"21:16","end":"22:52","startHours":21.26567321400434,"endHours":22.873243815055734,"quality":"inauspicious"},{"name":"Udveg","start":"22:52","end":"00:29","startHours":22.873243815055734,"endHours":24.48081441610713,"quality":"inauspicious"},{"name":"Chala","start":"00:29","end":"02:05","startHours":24.48081441610713,"endHours":26.088385017158522,"quality":"neutral"},{"name":"Labha","start":"02:05","end":"03:42","startHours":26.088385017158522,"endHours":27.695955618209915,"quality":"auspicious"},{"name":"Amṛta","start":"03:42","end":"05:18","startHours":27.695955618209915,"endHours":29.30352621926131,"quality":"auspicious"},{"name":"Kāla","start":"05:18","end":"06:55","startHours":29.30352621926131,"endHours":30.911096820312707,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:55","end":"07:55","startHours":6.9110968203127054,"endHours":7.9110968203127054,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:55","end":"08:55","startHours":7.9110968203127054,"endHours":8.911096820312705,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:55","end":"09:55","startHours":8.911096820312705,"endHours":9.911096820312705,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:55","end":"10:55","startHours":9.911096820312705,"endHours":10.911096820312705,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:55","end":"11:55","startHours":10.911096820312705,"endHours":11.911096820312705,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:55","end":"12:55","startHours":11.911096820312705,"endHours":12.911096820312705,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:55","end":"13:55","startHours":12.911096820312705,"endHours":13.911096820312705,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:55","end":"14:55","startHours":13.911096820312705,"endHours":14.911096820312705,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:55","end":"15:55","startHours":14.911096820312705,"endHours":15.911096820312705,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:55","end":"16:55","startHours":15.911096820312705,"endHours":16.911096820312707,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:55","end":"17:55","startHours":16.911096820312707,"endHours":17.911096820312707,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:55","end":"18:55","startHours":17.911096820312707,"endHours":18.911096820312707,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:55","end":"19:55","startHours":18.911096820312707,"endHours":19.911096820312707,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:55","end":"20:55","startHours":19.911096820312707,"endHours":20.911096820312707,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:55","end":"21:55","startHours":20.911096820312707,"endHours":21.911096820312707,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:55","end":"22:55","startHours":21.911096820312707,"endHours":22.911096820312707,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:55","end":"23:55","startHours":22.911096820312707,"endHours":23.911096820312707,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:55","end":"00:55","startHours":23.911096820312707,"endHours":24.911096820312707,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:55","end":"01:55","startHours":24.911096820312707,"endHours":25.911096820312707,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:55","end":"02:55","startHours":25.911096820312707,"endHours":26.911096820312707,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:55","end":"03:55","startHours":26.911096820312707,"endHours":27.911096820312707,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:55","end":"04:55","startHours":27.911096820312707,"endHours":28.911096820312707,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:55","end":"05:55","startHours":28.911096820312707,"endHours":29.911096820312707,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:55","end":"06:55","startHours":29.911096820312707,"endHours":30.911096820312707,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.248785019522096,"eotMinutes":4.177935033572184,"ayanamsa":22.1062}},"calendars":{"vikram_samvat":1931,"vikram_samvatsara":"Sarvajit","saka_samvat":1796,"saka_samvatsara":"Bhāva","bengali_samvat":1281,"malayalam_era":1050,"nanakshahi_year":405,"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":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Saptamī · Vikram 1931 Sarvajit · Śaka 1796 Bhāva"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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, 1874 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 15, 1874 CE for Kolhāpur, Maharashtra: Śukla Saptamī, sūryodaya 06:55, sūryāsta 18:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/1874-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/1874-12-15","sa":"https://sa.vidhyamitra.com/city/kolhapur/1874-12-15","hi":"https://hi.vidhyamitra.com/city/kolhapur/1874-12-15","x-default":"https://vidhyamitra.com/city/kolhapur/1874-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T21:59:47.402Z","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":"2026-05-31T21:59:47.402Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T21:59:47.402Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}