{"id":"vidhyamitra:city-day:kolhapur:2175-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2175-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2175-01-13","date_display":"January 13, 2175 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":2175,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515474.770833,"kali_year":5276,"ahargana":1927009.2708,"sun":{"sidereal_longitude":265.816,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":155.0153,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":249.1993,"elapsed_within_tithi_degrees":9.1993},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":155.0153,"elapsed_within_degrees":8.3486},"yoga":{"number":5,"name":"Śobhana","sum_longitude":60.8312},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"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":2175,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2515474.770833,"ahargana":1927009.2708,"kali_year":5276,"ayanamsa_lahiri":26.2981,"grahas":{"sun":{"sidereal_longitude":266.378923,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":153.21822299999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false,"latitude":-1.3324},"mars":{"sidereal_longitude":321.8803230000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":240.93492300000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":272.92992300000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":294.65222300000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":352.573823,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":317.7754,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":137.7754,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"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":2175,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515474.770833,"kali_year":5276,"ahargana":1927009.2708,"sun":{"sidereal_longitude":265.816,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":155.0153,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":249.1993,"elapsed_within_tithi_degrees":9.1993},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":155.0153,"elapsed_within_degrees":8.3486},"yoga":{"number":5,"name":"Śobhana","sum_longitude":60.8312},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.332,"elongation":110.801},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.332,"opposition_distance":69.199}},"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":"07:05","sunsetLocal":"18:18","solarNoonLocal":"12:42","dayLengthHours":11.21881026013293,"dayLengthDisplay":"11 Hours 13 Mins 08 Secs","nightLengthDisplay":"12 Hours 46 Mins 52 Secs","moonriseLocal":"23:06","moonsetLocal":"11:12","rahuKala":{"name":"Rāhu Kāla","start":"11:18","end":"12:42","startHours":11.292027575672945,"endHours":12.69437885818956,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:30","end":"16:54","startHours":15.499081423222794,"endHours":16.90143270573941,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:29","end":"09:53","startHours":8.487325010639712,"endHours":9.889676293156327,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:42","end":"10:05","startHours":9.702696122154112,"endHours":10.076656464158544,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:33","end":"07:51","startHours":7.552424155628635,"endHours":7.85159242923218,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:19","end":"13:04","startHours":12.32041851618513,"endHours":13.068339200193991,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:35","end":"06:20","startHours":5.5891323601053715,"endHours":6.337053044114234,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:05","startHours":6.150072873112018,"endHours":7.084973728123096,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:19","startHours":14.564180568211716,"endHours":15.312101252220579,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:06","end":"18:30","startHours":18.103783988256026,"endHours":18.503783988256025,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:18","end":"18:46","startHours":18.303783988256026,"endHours":18.771234415761565,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:03","end":"19:48","startHours":18.053783988256026,"endHours":19.803783988256026,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:19","end":"01:04","startHours":24.32041851618513,"endHours":25.06833920019399,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:05","end":"08:29","startHours":7.084973728123096,"endHours":8.487325010639712,"quality":"neutral"},{"name":"Labha","start":"08:29","end":"09:53","startHours":8.487325010639712,"endHours":9.889676293156327,"quality":"auspicious"},{"name":"Amṛta","start":"09:53","end":"11:18","startHours":9.889676293156327,"endHours":11.292027575672945,"quality":"auspicious"},{"name":"Kāla","start":"11:18","end":"12:42","startHours":11.292027575672945,"endHours":12.69437885818956,"quality":"inauspicious"},{"name":"Śubha","start":"12:42","end":"14:06","startHours":12.69437885818956,"endHours":14.096730140706176,"quality":"auspicious"},{"name":"Roga","start":"14:06","end":"15:30","startHours":14.096730140706176,"endHours":15.499081423222794,"quality":"inauspicious"},{"name":"Udveg","start":"15:30","end":"16:54","startHours":15.499081423222794,"endHours":16.90143270573941,"quality":"inauspicious"},{"name":"Chala","start":"16:54","end":"18:18","startHours":16.90143270573941,"endHours":18.303783988256026,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:18","end":"19:54","startHours":18.303783988256026,"endHours":19.90143270573941,"quality":"inauspicious"},{"name":"Udveg","start":"19:54","end":"21:30","startHours":19.90143270573941,"endHours":21.499081423222794,"quality":"inauspicious"},{"name":"Chala","start":"21:30","end":"23:06","startHours":21.499081423222794,"endHours":23.09673014070618,"quality":"neutral"},{"name":"Labha","start":"23:06","end":"00:42","startHours":23.09673014070618,"endHours":24.69437885818956,"quality":"auspicious"},{"name":"Amṛta","start":"00:42","end":"02:18","startHours":24.69437885818956,"endHours":26.292027575672947,"quality":"auspicious"},{"name":"Kāla","start":"02:18","end":"03:53","startHours":26.292027575672947,"endHours":27.889676293156327,"quality":"inauspicious"},{"name":"Śubha","start":"03:53","end":"05:29","startHours":27.889676293156327,"endHours":29.48732501063971,"quality":"auspicious"},{"name":"Roga","start":"05:29","end":"07:05","startHours":29.48732501063971,"endHours":31.084973728123096,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.084973728123096,"endHours":8.084973728123096,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.084973728123096,"endHours":9.084973728123096,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.084973728123096,"endHours":10.084973728123096,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.084973728123096,"endHours":11.084973728123096,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.084973728123096,"endHours":12.084973728123096,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.084973728123096,"endHours":13.084973728123096,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.084973728123096,"endHours":14.084973728123096,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.084973728123096,"endHours":15.084973728123096,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.084973728123096,"endHours":16.084973728123096,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.084973728123096,"endHours":17.084973728123096,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.084973728123096,"endHours":18.084973728123096,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.084973728123096,"endHours":19.084973728123096,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.084973728123096,"endHours":20.084973728123096,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.084973728123096,"endHours":21.084973728123096,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.084973728123096,"endHours":22.084973728123096,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.084973728123096,"endHours":23.084973728123096,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.084973728123096,"endHours":24.084973728123096,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.084973728123096,"endHours":25.084973728123096,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.084973728123096,"endHours":26.084973728123096,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.084973728123096,"endHours":27.084973728123096,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.084973728123096,"endHours":28.084973728123096,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.084973728123096,"endHours":29.084973728123096,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.084973728123096,"endHours":30.084973728123096,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.084973728123096,"endHours":31.084973728123096,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"South-East","anandadiYoga":{"name":"Prajāpati","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":-21.52978599579701,"eotMinutes":-8.635931491373626,"ayanamsa":26.2981}},"calendars":{"vikram_samvat":2232,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2097,"saka_samvatsara":"Yuva","bengali_samvat":1582,"malayalam_era":1351,"nanakshahi_year":706,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Ṣaṣṭhī · Vikram 2232 Sarvadhāri · Śaka 2097 Yuva"},"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 January 13, 2175 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"January 13, 2175 CE for Kolhāpur, Maharashtra: Kṛṣṇa Ṣaṣṭhī, sūryodaya 07:05, sūryāsta 18:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2175-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2175-01-13","sa":"https://sa.vidhyamitra.com/city/kolhapur/2175-01-13","hi":"https://hi.vidhyamitra.com/city/kolhapur/2175-01-13","x-default":"https://vidhyamitra.com/city/kolhapur/2175-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-29T23:06:36.738Z","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":"2026-05-29T23:06:36.738Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-29T23:06:36.738Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}