{"id":"vidhyamitra:city-day:kolhapur:2165-12-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2165-12-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2165-12-10","date_display":"December 10, 2165 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":2165,"month":12,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512153.770833,"kali_year":5267,"ahargana":1923688.2708,"sun":{"sidereal_longitude":231.2362,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":312.1668,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":80.9307,"elapsed_within_tithi_degrees":8.9307},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":312.1668,"elapsed_within_degrees":5.5002},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":183.403},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"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":2165,"month":12,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512153.770833,"ahargana":1923688.2708,"kali_year":5267,"ayanamsa_lahiri":26.1711,"grahas":{"sun":{"sidereal_longitude":232.07890999999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":312.87510999999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false,"latitude":0.1233},"mars":{"sidereal_longitude":77.50380999999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":227.04310999999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":357.06981,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":208.91450999999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":250.28170999999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":133.738,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":313.738,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":2165,"month":12,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512153.770833,"kali_year":5267,"ahargana":1923688.2708,"sun":{"sidereal_longitude":231.2362,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":312.1668,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":80.9307,"elapsed_within_tithi_degrees":8.9307},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":312.1668,"elapsed_within_degrees":5.5002},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":183.403},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.123,"elongation":80.931},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.123,"opposition_distance":99.069}},"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":"06:52","sunsetLocal":"18:01","solarNoonLocal":"12:27","dayLengthHours":11.154905458672282,"dayLengthDisplay":"11 Hours 09 Mins 18 Secs","nightLengthDisplay":"12 Hours 50 Mins 42 Secs","moonriseLocal":"11:57","moonsetLocal":"23:42","rahuKala":{"name":"Rāhu Kāla","start":"15:14","end":"16:38","startHours":15.23200616569715,"endHours":16.626369348031186,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:39","end":"11:03","startHours":9.65455343636101,"endHours":11.048916618695046,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:27","end":"13:50","startHours":12.443279801029082,"endHours":13.837642983363116,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:50","startHours":9.46863834538314,"endHours":9.840468527338881,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:20","end":"07:38","startHours":7.330614799137618,"endHours":7.628078944702212,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:49","startHours":12.07144961907334,"endHours":12.815109982984824,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:23","end":"06:07","startHours":5.378506343869969,"endHours":6.122166707781455,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:56","end":"06:52","startHours":5.936251616803583,"endHours":6.86582707169294,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:03","startHours":14.302430710807794,"endHours":15.04609107471928,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:49","end":"18:13","startHours":17.820732530365223,"endHours":18.220732530365222,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:01","end":"18:29","startHours":18.020732530365223,"endHours":18.485520257809902,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:46","end":"19:31","startHours":17.770732530365223,"endHours":19.520732530365223,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:49","startHours":24.071449619073338,"endHours":24.815109982984826,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:52","end":"08:16","startHours":6.86582707169294,"endHours":8.260190254026975,"quality":"inauspicious"},{"name":"Udveg","start":"08:16","end":"09:39","startHours":8.260190254026975,"endHours":9.65455343636101,"quality":"inauspicious"},{"name":"Chala","start":"09:39","end":"11:03","startHours":9.65455343636101,"endHours":11.048916618695046,"quality":"neutral"},{"name":"Labha","start":"11:03","end":"12:27","startHours":11.048916618695046,"endHours":12.443279801029082,"quality":"auspicious"},{"name":"Amṛta","start":"12:27","end":"13:50","startHours":12.443279801029082,"endHours":13.837642983363116,"quality":"auspicious"},{"name":"Kāla","start":"13:50","end":"15:14","startHours":13.837642983363116,"endHours":15.23200616569715,"quality":"inauspicious"},{"name":"Śubha","start":"15:14","end":"16:38","startHours":15.23200616569715,"endHours":16.626369348031186,"quality":"auspicious"},{"name":"Roga","start":"16:38","end":"18:01","startHours":16.626369348031186,"endHours":18.020732530365223,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:01","end":"19:38","startHours":18.020732530365223,"endHours":19.626369348031186,"quality":"inauspicious"},{"name":"Śubha","start":"19:38","end":"21:14","startHours":19.626369348031186,"endHours":21.23200616569715,"quality":"auspicious"},{"name":"Roga","start":"21:14","end":"22:50","startHours":21.23200616569715,"endHours":22.837642983363118,"quality":"inauspicious"},{"name":"Udveg","start":"22:50","end":"00:27","startHours":22.837642983363118,"endHours":24.44327980102908,"quality":"inauspicious"},{"name":"Chala","start":"00:27","end":"02:03","startHours":24.44327980102908,"endHours":26.048916618695046,"quality":"neutral"},{"name":"Labha","start":"02:03","end":"03:39","startHours":26.048916618695046,"endHours":27.654553436361013,"quality":"auspicious"},{"name":"Amṛta","start":"03:39","end":"05:16","startHours":27.654553436361013,"endHours":29.260190254026977,"quality":"auspicious"},{"name":"Kāla","start":"05:16","end":"06:52","startHours":29.260190254026977,"endHours":30.86582707169294,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:52","end":"07:52","startHours":6.86582707169294,"endHours":7.86582707169294,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:52","end":"08:52","startHours":7.86582707169294,"endHours":8.86582707169294,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:52","end":"09:52","startHours":8.86582707169294,"endHours":9.86582707169294,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:52","end":"10:52","startHours":9.86582707169294,"endHours":10.86582707169294,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:52","end":"11:52","startHours":10.86582707169294,"endHours":11.86582707169294,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:52","end":"12:52","startHours":11.86582707169294,"endHours":12.86582707169294,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:52","end":"13:52","startHours":12.86582707169294,"endHours":13.86582707169294,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:52","end":"14:52","startHours":13.86582707169294,"endHours":14.86582707169294,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:52","end":"15:52","startHours":14.86582707169294,"endHours":15.86582707169294,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:52","end":"16:52","startHours":15.86582707169294,"endHours":16.86582707169294,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:52","end":"17:52","startHours":16.86582707169294,"endHours":17.86582707169294,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:52","end":"18:52","startHours":17.86582707169294,"endHours":18.86582707169294,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:52","end":"19:52","startHours":18.86582707169294,"endHours":19.86582707169294,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:52","end":"20:52","startHours":19.86582707169294,"endHours":20.86582707169294,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:52","end":"21:52","startHours":20.86582707169294,"endHours":21.86582707169294,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:52","end":"22:52","startHours":21.86582707169294,"endHours":22.86582707169294,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:52","end":"23:52","startHours":22.86582707169294,"endHours":23.86582707169294,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:52","end":"00:52","startHours":23.86582707169294,"endHours":24.86582707169294,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:52","end":"01:52","startHours":24.86582707169294,"endHours":25.86582707169294,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:52","end":"02:52","startHours":25.86582707169294,"endHours":26.86582707169294,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:52","end":"03:52","startHours":26.86582707169294,"endHours":27.86582707169294,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:52","end":"04:52","startHours":27.86582707169294,"endHours":28.86582707169294,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:52","end":"05:52","startHours":28.86582707169294,"endHours":29.86582707169294,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:52","end":"06:52","startHours":29.86582707169294,"endHours":30.86582707169294,"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) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.917057557784066,"eotMinutes":6.4300119382551255,"ayanamsa":26.1711}},"calendars":{"vikram_samvat":2222,"vikram_samvatsara":"Bahudhānya","saka_samvat":2087,"saka_samvatsara":"Krodhana","bengali_samvat":1572,"malayalam_era":1341,"nanakshahi_year":696,"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 Saptamī · Vikram 2222 Bahudhānya · Śaka 2087 Krodhana"},"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 10, 2165 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 10, 2165 CE for Kolhāpur, Maharashtra: Śukla Saptamī, sūryodaya 06:52, sūryāsta 18:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2165-12-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2165-12-10","sa":"https://sa.vidhyamitra.com/city/kolhapur/2165-12-10","hi":"https://hi.vidhyamitra.com/city/kolhapur/2165-12-10","x-default":"https://vidhyamitra.com/city/kolhapur/2165-12-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T04:34:08.194Z","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":"2026-06-01T04:34:08.194Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T04:34:08.194Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}