{"id":"vidhyamitra:city-day:kolhapur:2167-12-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2167-12-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2167-12-14","date_display":"December 14, 2167 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":2167,"month":12,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512887.770833,"kali_year":5269,"ahargana":1924422.2708,"sun":{"sidereal_longitude":234.8033,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":264.4314,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":29.6281,"elapsed_within_tithi_degrees":5.6281},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4,"moon_longitude":264.4314,"elapsed_within_degrees":11.0981},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":139.2348},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2167,"month":12,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512887.770833,"ahargana":1924422.2708,"kali_year":5269,"ayanamsa_lahiri":26.1991,"grahas":{"sun":{"sidereal_longitude":235.62116500000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":262.48556499999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false,"latitude":0.8127},"mars":{"sidereal_longitude":115.85316499999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":253.37586499999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":74.70396499999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":201.416565,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":271.008565,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":94.8471,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":274.8471,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"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":2167,"month":12,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512887.770833,"kali_year":5269,"ahargana":1924422.2708,"sun":{"sidereal_longitude":234.8033,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":264.4314,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":29.6281,"elapsed_within_tithi_degrees":5.6281},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4,"moon_longitude":264.4314,"elapsed_within_degrees":11.0981},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":139.2348},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.813,"elongation":29.628},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.813,"opposition_distance":150.372}},"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":"18:03","solarNoonLocal":"12:28","dayLengthHours":11.14245965261291,"dayLengthDisplay":"11 Hours 08 Mins 33 Secs","nightLengthDisplay":"12 Hours 51 Mins 27 Secs","moonriseLocal":"08:41","moonsetLocal":"19:50","rahuKala":{"name":"Rāhu Kāla","start":"08:18","end":"09:41","startHours":8.29475780070297,"endHours":9.687565257279584,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:05","end":"12:28","startHours":11.080372713856196,"endHours":12.473180170432812,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:52","end":"15:16","startHours":13.865987627009424,"endHours":15.258795083586037,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:52","startHours":9.5018575964027,"endHours":9.873272918156466,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:22","end":"07:40","startHours":7.3662194963185605,"endHours":7.663351753721572,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:51","startHours":12.101764848679046,"endHours":12.844595492186574,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:25","end":"06:10","startHours":5.416289057111301,"endHours":6.159119700618829,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:58","end":"06:54","startHours":5.973412039741947,"endHours":6.901950344126356,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:04","startHours":14.33025677920163,"endHours":15.073087422709158,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:51","end":"18:15","startHours":17.844409996739266,"endHours":18.244409996739265,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:03","end":"18:31","startHours":18.044409996739265,"endHours":18.50867914893147,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:48","end":"19:33","startHours":17.794409996739265,"endHours":19.544409996739265,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:51","startHours":24.10176484867905,"endHours":24.844595492186574,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:54","end":"08:18","startHours":6.901950344126356,"endHours":8.29475780070297,"quality":"auspicious"},{"name":"Kāla","start":"08:18","end":"09:41","startHours":8.29475780070297,"endHours":9.687565257279584,"quality":"inauspicious"},{"name":"Śubha","start":"09:41","end":"11:05","startHours":9.687565257279584,"endHours":11.080372713856196,"quality":"auspicious"},{"name":"Roga","start":"11:05","end":"12:28","startHours":11.080372713856196,"endHours":12.473180170432812,"quality":"inauspicious"},{"name":"Udveg","start":"12:28","end":"13:52","startHours":12.473180170432812,"endHours":13.865987627009424,"quality":"inauspicious"},{"name":"Chala","start":"13:52","end":"15:16","startHours":13.865987627009424,"endHours":15.258795083586037,"quality":"neutral"},{"name":"Labha","start":"15:16","end":"16:39","startHours":15.258795083586037,"endHours":16.651602540162653,"quality":"auspicious"},{"name":"Amṛta","start":"16:39","end":"18:03","startHours":16.651602540162653,"endHours":18.044409996739265,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:03","end":"19:39","startHours":18.044409996739265,"endHours":19.651602540162653,"quality":"neutral"},{"name":"Labha","start":"19:39","end":"21:16","startHours":19.651602540162653,"endHours":21.258795083586037,"quality":"auspicious"},{"name":"Amṛta","start":"21:16","end":"22:52","startHours":21.258795083586037,"endHours":22.865987627009424,"quality":"auspicious"},{"name":"Kāla","start":"22:52","end":"00:28","startHours":22.865987627009424,"endHours":24.473180170432812,"quality":"inauspicious"},{"name":"Śubha","start":"00:28","end":"02:05","startHours":24.473180170432812,"endHours":26.080372713856196,"quality":"auspicious"},{"name":"Roga","start":"02:05","end":"03:41","startHours":26.080372713856196,"endHours":27.687565257279584,"quality":"inauspicious"},{"name":"Udveg","start":"03:41","end":"05:18","startHours":27.687565257279584,"endHours":29.294757800702968,"quality":"inauspicious"},{"name":"Chala","start":"05:18","end":"06:54","startHours":29.294757800702968,"endHours":30.901950344126355,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:54","end":"07:54","startHours":6.901950344126356,"endHours":7.901950344126356,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:54","end":"08:54","startHours":7.901950344126356,"endHours":8.901950344126355,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:54","end":"09:54","startHours":8.901950344126355,"endHours":9.901950344126355,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:54","end":"10:54","startHours":9.901950344126355,"endHours":10.901950344126355,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:54","end":"11:54","startHours":10.901950344126355,"endHours":11.901950344126355,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:54","end":"12:54","startHours":11.901950344126355,"endHours":12.901950344126355,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:54","end":"13:54","startHours":12.901950344126355,"endHours":13.901950344126355,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:54","end":"14:54","startHours":13.901950344126355,"endHours":14.901950344126355,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:54","end":"15:54","startHours":14.901950344126355,"endHours":15.901950344126355,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:54","end":"16:54","startHours":15.901950344126355,"endHours":16.901950344126355,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:54","end":"17:54","startHours":16.901950344126355,"endHours":17.901950344126355,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:54","end":"18:54","startHours":17.901950344126355,"endHours":18.901950344126355,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:54","end":"19:54","startHours":18.901950344126355,"endHours":19.901950344126355,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:54","end":"20:54","startHours":19.901950344126355,"endHours":20.901950344126355,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:54","end":"21:54","startHours":20.901950344126355,"endHours":21.901950344126355,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:54","end":"22:54","startHours":21.901950344126355,"endHours":22.901950344126355,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:54","end":"23:54","startHours":22.901950344126355,"endHours":23.901950344126355,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:54","end":"00:54","startHours":23.901950344126355,"endHours":24.901950344126355,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:54","end":"01:54","startHours":24.901950344126355,"endHours":25.901950344126355,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:54","end":"02:54","startHours":25.901950344126355,"endHours":26.901950344126355,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:54","end":"03:54","startHours":26.901950344126355,"endHours":27.901950344126355,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:54","end":"04:54","startHours":27.901950344126355,"endHours":28.901950344126355,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:54","end":"05:54","startHours":28.901950344126355,"endHours":29.901950344126355,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:54","end":"06:54","startHours":29.901950344126355,"endHours":30.901950344126355,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Mātaṇga","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":-23.184059381581488,"eotMinutes":4.63598977403141,"ayanamsa":26.1991}},"calendars":{"vikram_samvat":2224,"vikram_samvatsara":"Vikrama","saka_samvat":2089,"saka_samvatsara":"Prabhava","bengali_samvat":1574,"malayalam_era":1343,"nanakshahi_year":698,"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":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Tṛtīyā · Vikram 2224 Vikrama · Śaka 2089 Prabhava"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 14, 2167 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 14, 2167 CE for Kolhāpur, Maharashtra: Śukla Tṛtīyā, sūryodaya 06:54, sūryāsta 18:03.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2167-12-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2167-12-14","sa":"https://sa.vidhyamitra.com/city/kolhapur/2167-12-14","hi":"https://hi.vidhyamitra.com/city/kolhapur/2167-12-14","x-default":"https://vidhyamitra.com/city/kolhapur/2167-12-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T13:13:07.862Z","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":"2026-06-01T13:13:07.862Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T13:13:07.862Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}