{"id":"vidhyamitra:city-day:kolhapur:2171-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2171-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2171-12-13","date_display":"December 13, 2171 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":2171,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514347.770833,"kali_year":5273,"ahargana":1925882.2708,"sun":{"sidereal_longitude":233.7427,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":61.117,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":187.3743,"elapsed_within_tithi_degrees":7.3743},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":61.117,"elapsed_within_degrees":7.7837},"yoga":{"number":23,"name":"Śubha","sum_longitude":294.8598},"karana":{"half_tithi_index":31,"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":2171,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514347.770833,"ahargana":1925882.2708,"kali_year":5273,"ayanamsa_lahiri":26.255,"grahas":{"sun":{"sidereal_longitude":234.57858299999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":60.693083,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false,"latitude":3.1032},"mars":{"sidereal_longitude":156.56148299999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":224.10538299999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":191.64048300000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":272.21328300000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":314.61638300000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":17.4893,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":197.4893,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":2171,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514347.770833,"kali_year":5273,"ahargana":1925882.2708,"sun":{"sidereal_longitude":233.7427,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":61.117,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":187.3743,"elapsed_within_tithi_degrees":7.3743},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":61.117,"elapsed_within_degrees":7.7837},"yoga":{"number":23,"name":"Śubha","sum_longitude":294.8598},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.103,"elongation":172.626},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.103,"opposition_distance":7.374}},"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":11.145464168190596,"dayLengthDisplay":"11 Hours 08 Mins 44 Secs","nightLengthDisplay":"12 Hours 51 Mins 16 Secs","moonriseLocal":"18:20","moonsetLocal":"07:25","rahuKala":{"name":"Rāhu Kāla","start":"11:04","end":"12:28","startHours":11.072419474819206,"endHours":12.465602495843033,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:15","end":"16:39","startHours":15.25196853789068,"endHours":16.645151558914506,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:17","end":"09:41","startHours":8.286053432771558,"endHours":9.679236453795383,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:52","startHours":9.493478717658874,"endHours":9.864994189931894,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:21","end":"07:39","startHours":7.357264752089009,"endHours":7.654477129907424,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:50","startHours":12.094087023570012,"endHours":12.83711796811605,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:24","end":"06:09","startHours":5.406808522655655,"endHours":6.149839467201694,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:58","end":"06:54","startHours":5.964081731065185,"endHours":6.892870411747734,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:04","startHours":14.323179857208132,"endHours":15.066210801754172,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:50","end":"18:14","startHours":17.83833457993833,"endHours":18.23833457993833,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:02","end":"18:30","startHours":18.03833457993833,"endHours":18.502728920279605,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:47","end":"19:32","startHours":17.78833457993833,"endHours":19.53833457993833,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:50","startHours":24.094087023570008,"endHours":24.83711796811605,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:54","end":"08:17","startHours":6.892870411747734,"endHours":8.286053432771558,"quality":"neutral"},{"name":"Labha","start":"08:17","end":"09:41","startHours":8.286053432771558,"endHours":9.679236453795383,"quality":"auspicious"},{"name":"Amṛta","start":"09:41","end":"11:04","startHours":9.679236453795383,"endHours":11.072419474819206,"quality":"auspicious"},{"name":"Kāla","start":"11:04","end":"12:28","startHours":11.072419474819206,"endHours":12.465602495843033,"quality":"inauspicious"},{"name":"Śubha","start":"12:28","end":"13:52","startHours":12.465602495843033,"endHours":13.858785516866856,"quality":"auspicious"},{"name":"Roga","start":"13:52","end":"15:15","startHours":13.858785516866856,"endHours":15.25196853789068,"quality":"inauspicious"},{"name":"Udveg","start":"15:15","end":"16:39","startHours":15.25196853789068,"endHours":16.645151558914506,"quality":"inauspicious"},{"name":"Chala","start":"16:39","end":"18:02","startHours":16.645151558914506,"endHours":18.03833457993833,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:02","end":"19:39","startHours":18.03833457993833,"endHours":19.645151558914506,"quality":"inauspicious"},{"name":"Udveg","start":"19:39","end":"21:15","startHours":19.645151558914506,"endHours":21.25196853789068,"quality":"inauspicious"},{"name":"Chala","start":"21:15","end":"22:52","startHours":21.25196853789068,"endHours":22.858785516866856,"quality":"neutral"},{"name":"Labha","start":"22:52","end":"00:28","startHours":22.858785516866856,"endHours":24.46560249584303,"quality":"auspicious"},{"name":"Amṛta","start":"00:28","end":"02:04","startHours":24.46560249584303,"endHours":26.072419474819206,"quality":"auspicious"},{"name":"Kāla","start":"02:04","end":"03:41","startHours":26.072419474819206,"endHours":27.679236453795383,"quality":"inauspicious"},{"name":"Śubha","start":"03:41","end":"05:17","startHours":27.679236453795383,"endHours":29.28605343277156,"quality":"auspicious"},{"name":"Roga","start":"05:17","end":"06:54","startHours":29.28605343277156,"endHours":30.892870411747733,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:54","end":"07:54","startHours":6.892870411747734,"endHours":7.892870411747734,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:54","end":"08:54","startHours":7.892870411747734,"endHours":8.892870411747733,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:54","end":"09:54","startHours":8.892870411747733,"endHours":9.892870411747733,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:54","end":"10:54","startHours":9.892870411747733,"endHours":10.892870411747733,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:54","end":"11:54","startHours":10.892870411747733,"endHours":11.892870411747733,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:54","end":"12:54","startHours":11.892870411747733,"endHours":12.892870411747733,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:54","end":"13:54","startHours":12.892870411747733,"endHours":13.892870411747733,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:54","end":"14:54","startHours":13.892870411747733,"endHours":14.892870411747733,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:54","end":"15:54","startHours":14.892870411747733,"endHours":15.892870411747733,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:54","end":"16:54","startHours":15.892870411747733,"endHours":16.892870411747733,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:54","end":"17:54","startHours":16.892870411747733,"endHours":17.892870411747733,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:54","end":"18:54","startHours":17.892870411747733,"endHours":18.892870411747733,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:54","end":"19:54","startHours":18.892870411747733,"endHours":19.892870411747733,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:54","end":"20:54","startHours":19.892870411747733,"endHours":20.892870411747733,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:54","end":"21:54","startHours":20.892870411747733,"endHours":21.892870411747733,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:54","end":"22:54","startHours":21.892870411747733,"endHours":22.892870411747733,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:54","end":"23:54","startHours":22.892870411747733,"endHours":23.892870411747733,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:54","end":"00:54","startHours":23.892870411747733,"endHours":24.892870411747733,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:54","end":"01:54","startHours":24.892870411747733,"endHours":25.892870411747733,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:54","end":"02:54","startHours":25.892870411747733,"endHours":26.892870411747733,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:54","end":"03:54","startHours":26.892870411747733,"endHours":27.892870411747733,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:54","end":"04:54","startHours":27.892870411747733,"endHours":28.892870411747733,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:54","end":"05:54","startHours":28.892870411747733,"endHours":29.892870411747733,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:54","end":"06:54","startHours":29.892870411747733,"endHours":30.892870411747733,"planetary_lord":"Mars"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"South-East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.11969909568478,"eotMinutes":5.090650249418121,"ayanamsa":26.255}},"calendars":{"vikram_samvat":2228,"vikram_samvatsara":"Tāraṇa","saka_samvat":2093,"saka_samvatsara":"Prajāpati","bengali_samvat":1578,"malayalam_era":1347,"nanakshahi_year":702,"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 Pratipada · Vikram 2228 Tāraṇa · Śaka 2093 Prajāpati"},"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, 2171 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 13, 2171 CE for Kolhāpur, Maharashtra: Kṛṣṇa Pratipada, sūryodaya 06:54, sūryāsta 18:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2171-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2171-12-13","sa":"https://sa.vidhyamitra.com/city/kolhapur/2171-12-13","hi":"https://hi.vidhyamitra.com/city/kolhapur/2171-12-13","x-default":"https://vidhyamitra.com/city/kolhapur/2171-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T04:24:59.349Z","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":"2026-06-01T04:24:59.349Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T04:24:59.349Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}