{"id":"vidhyamitra:city-day:kolhapur:2169-12-25:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2169-12-25","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2169-12-25","date_display":"December 25, 2169 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":2169,"month":12,"day":25,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513629.770833,"kali_year":5271,"ahargana":1925164.2708,"sun":{"sidereal_longitude":246.5875,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":323.1576,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":76.57,"elapsed_within_tithi_degrees":4.57},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":323.1576,"elapsed_within_degrees":3.1576},"yoga":{"number":16,"name":"Siddhi","sum_longitude":209.7451},"karana":{"half_tithi_index":12,"name":"Gara"},"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":2169,"month":12,"day":25,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513629.770833,"ahargana":1925164.2708,"kali_year":5271,"ayanamsa_lahiri":26.2275,"grahas":{"sun":{"sidereal_longitude":247.307816,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"moon":{"sidereal_longitude":321.190016,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":-4.4961},"mars":{"sidereal_longitude":143.67541600000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":223.73001599999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":140.312816,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":252.840916,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":293.16951599999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":55.5324,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":235.5324,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2169,"month":12,"day":25,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513629.770833,"kali_year":5271,"ahargana":1925164.2708,"sun":{"sidereal_longitude":246.5875,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":323.1576,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":76.57,"elapsed_within_tithi_degrees":4.57},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":323.1576,"elapsed_within_degrees":3.1576},"yoga":{"number":16,"name":"Siddhi","sum_longitude":209.7451},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.496,"elongation":76.57},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.496,"opposition_distance":103.43}},"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":"07:00","sunsetLocal":"18:08","solarNoonLocal":"12:34","dayLengthHours":11.13286196036083,"dayLengthDisplay":"11 Hours 07 Mins 58 Secs","nightLengthDisplay":"12 Hours 52 Mins 02 Secs","moonriseLocal":"11:33","moonsetLocal":"23:26","rahuKala":{"name":"Rāhu Kāla","start":"08:23","end":"09:47","startHours":8.383847713899181,"endHours":9.775455458944284,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:10","end":"12:34","startHours":11.16706320398939,"endHours":12.558670949034493,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:57","end":"15:21","startHours":13.950278694079596,"endHours":15.3418864391247,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:35","end":"09:58","startHours":9.589907759604937,"endHours":9.961003158283631,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:27","end":"07:45","startHours":7.456109217202445,"endHours":7.752985536145401,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"12:56","startHours":12.187575550355797,"endHours":12.929766347713185,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:30","end":"06:15","startHours":5.507858374139301,"endHours":6.250049171496689,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:04","end":"07:00","startHours":6.064501472157342,"endHours":6.9922399688540775,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:25","end":"15:09","startHours":14.414147942427963,"endHours":15.156338739785351,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:56","end":"18:20","startHours":17.925101929214907,"endHours":18.325101929214906,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:08","end":"18:35","startHours":18.125101929214907,"endHours":18.588971177563273,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:53","end":"19:38","startHours":17.875101929214907,"endHours":19.625101929214907,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"00:56","startHours":24.1875755503558,"endHours":24.929766347713187,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:00","end":"08:23","startHours":6.9922399688540775,"endHours":8.383847713899181,"quality":"auspicious"},{"name":"Kāla","start":"08:23","end":"09:47","startHours":8.383847713899181,"endHours":9.775455458944284,"quality":"inauspicious"},{"name":"Śubha","start":"09:47","end":"11:10","startHours":9.775455458944284,"endHours":11.16706320398939,"quality":"auspicious"},{"name":"Roga","start":"11:10","end":"12:34","startHours":11.16706320398939,"endHours":12.558670949034493,"quality":"inauspicious"},{"name":"Udveg","start":"12:34","end":"13:57","startHours":12.558670949034493,"endHours":13.950278694079596,"quality":"inauspicious"},{"name":"Chala","start":"13:57","end":"15:21","startHours":13.950278694079596,"endHours":15.3418864391247,"quality":"neutral"},{"name":"Labha","start":"15:21","end":"16:44","startHours":15.3418864391247,"endHours":16.733494184169803,"quality":"auspicious"},{"name":"Amṛta","start":"16:44","end":"18:08","startHours":16.733494184169803,"endHours":18.125101929214907,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:08","end":"19:44","startHours":18.125101929214907,"endHours":19.733494184169803,"quality":"neutral"},{"name":"Labha","start":"19:44","end":"21:21","startHours":19.733494184169803,"endHours":21.3418864391247,"quality":"auspicious"},{"name":"Amṛta","start":"21:21","end":"22:57","startHours":21.3418864391247,"endHours":22.950278694079596,"quality":"auspicious"},{"name":"Kāla","start":"22:57","end":"00:34","startHours":22.950278694079596,"endHours":24.558670949034493,"quality":"inauspicious"},{"name":"Śubha","start":"00:34","end":"02:10","startHours":24.558670949034493,"endHours":26.167063203989386,"quality":"auspicious"},{"name":"Roga","start":"02:10","end":"03:47","startHours":26.167063203989386,"endHours":27.775455458944286,"quality":"inauspicious"},{"name":"Udveg","start":"03:47","end":"05:23","startHours":27.775455458944286,"endHours":29.38384771389918,"quality":"inauspicious"},{"name":"Chala","start":"05:23","end":"07:00","startHours":29.38384771389918,"endHours":30.99223996885408,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:00","end":"08:00","startHours":6.9922399688540775,"endHours":7.9922399688540775,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:00","end":"09:00","startHours":7.9922399688540775,"endHours":8.992239968854078,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:00","end":"10:00","startHours":8.992239968854078,"endHours":9.992239968854078,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:00","end":"11:00","startHours":9.992239968854078,"endHours":10.992239968854078,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:00","end":"12:00","startHours":10.992239968854078,"endHours":11.992239968854078,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:00","end":"13:00","startHours":11.992239968854078,"endHours":12.992239968854078,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:00","end":"14:00","startHours":12.992239968854078,"endHours":13.992239968854078,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:00","end":"15:00","startHours":13.992239968854078,"endHours":14.992239968854078,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:00","end":"16:00","startHours":14.992239968854078,"endHours":15.992239968854078,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:00","end":"17:00","startHours":15.992239968854078,"endHours":16.99223996885408,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:00","end":"18:00","startHours":16.99223996885408,"endHours":17.99223996885408,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:00","end":"19:00","startHours":17.99223996885408,"endHours":18.99223996885408,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:00","end":"20:00","startHours":18.99223996885408,"endHours":19.99223996885408,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:00","end":"21:00","startHours":19.99223996885408,"endHours":20.99223996885408,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:00","end":"22:00","startHours":20.99223996885408,"endHours":21.99223996885408,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:00","end":"23:00","startHours":21.99223996885408,"endHours":22.99223996885408,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:00","end":"00:00","startHours":22.99223996885408,"endHours":23.99223996885408,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:00","end":"01:00","startHours":23.99223996885408,"endHours":24.99223996885408,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:00","end":"02:00","startHours":24.99223996885408,"endHours":25.99223996885408,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:00","end":"03:00","startHours":25.99223996885408,"endHours":26.99223996885408,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:00","end":"04:00","startHours":26.99223996885408,"endHours":27.99223996885408,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:00","end":"05:00","startHours":27.99223996885408,"endHours":28.99223996885408,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:00","end":"06:00","startHours":28.99223996885408,"endHours":29.99223996885408,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:00","end":"07:00","startHours":29.99223996885408,"endHours":30.99223996885408,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.389242280994985,"eotMinutes":-0.4934569420694592,"ayanamsa":26.2275}},"calendars":{"vikram_samvat":2226,"vikram_samvatsara":"Citrabhānu","saka_samvat":2091,"saka_samvatsara":"Śukla","bengali_samvat":1576,"malayalam_era":1345,"nanakshahi_year":700,"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 2226 Citrabhānu · Śaka 2091 Śukla"},"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 25, 2169 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 25, 2169 CE for Kolhāpur, Maharashtra: Śukla Saptamī, sūryodaya 07:00, sūryāsta 18:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2169-12-25","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2169-12-25","sa":"https://sa.vidhyamitra.com/city/kolhapur/2169-12-25","hi":"https://hi.vidhyamitra.com/city/kolhapur/2169-12-25","x-default":"https://vidhyamitra.com/city/kolhapur/2169-12-25"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T22:01:13.800Z","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":"2026-06-01T22:01:13.800Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T22:01:13.800Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}