{"id":"vidhyamitra:city-day:kolhapur:2113-03-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2113-03-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2113-03-21","date_display":"March 21, 2113 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":2113,"month":3,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492896.770833,"kali_year":5214,"ahargana":1904431.2708,"sun":{"sidereal_longitude":334.8328,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":19.2674,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":44.4347,"elapsed_within_tithi_degrees":8.4347},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":19.2674,"elapsed_within_degrees":5.9341},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":354.1002},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":2113,"month":3,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2492896.770833,"ahargana":1904431.2708,"kali_year":5214,"ayanamsa_lahiri":25.4346,"grahas":{"sun":{"sidereal_longitude":334.917169,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":22.458268999999973,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":-3.6759},"mars":{"sidereal_longitude":21.366468999999995,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":308.7428689999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":210.84646899999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":302.13596899999993,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":324.18616900000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":74.0665,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":254.0665,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"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":2113,"month":3,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2492896.770833,"kali_year":5214,"ahargana":1904431.2708,"sun":{"sidereal_longitude":334.8328,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":19.2674,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":44.4347,"elapsed_within_tithi_degrees":8.4347},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":19.2674,"elapsed_within_degrees":5.9341},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":354.1002},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.676,"elongation":44.435},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.676,"opposition_distance":135.565}},"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":"06:37","sunsetLocal":"18:45","solarNoonLocal":"12:41","dayLengthHours":12.121560312224384,"dayLengthDisplay":"12 Hours 07 Mins 18 Secs","nightLengthDisplay":"11 Hours 52 Mins 42 Secs","moonriseLocal":"09:27","moonsetLocal":"22:15","rahuKala":{"name":"Rāhu Kāla","start":"15:43","end":"17:14","startHours":15.711550171751552,"endHours":17.226745210779598,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:39","end":"11:10","startHours":9.65077001563936,"endHours":11.165965054667408,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:41","end":"14:12","startHours":12.681160093695457,"endHours":14.196355132723504,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:27","end":"09:51","startHours":9.44874401043562,"endHours":9.8527960208431,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:08","end":"07:27","startHours":7.125444950592613,"endHours":7.448686558918597,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:17","end":"13:05","startHours":12.277108083287978,"endHours":13.085212104102936,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:00","end":"05:49","startHours":5.0041718959533465,"endHours":5.812275916768305,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:37","end":"06:37","startHours":5.610249911564566,"endHours":6.620379937583264,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:31","startHours":14.701420145732854,"endHours":15.509524166547813,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:33","end":"18:57","startHours":18.54194024980765,"endHours":18.941940249807647,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:45","end":"19:15","startHours":18.741940249807648,"endHours":19.247005262816998,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:30","end":"20:15","startHours":18.491940249807648,"endHours":20.241940249807648,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:17","end":"01:05","startHours":24.277108083287978,"endHours":25.085212104102936,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:37","end":"08:08","startHours":6.620379937583264,"endHours":8.135574976611313,"quality":"inauspicious"},{"name":"Udveg","start":"08:08","end":"09:39","startHours":8.135574976611313,"endHours":9.65077001563936,"quality":"inauspicious"},{"name":"Chala","start":"09:39","end":"11:10","startHours":9.65077001563936,"endHours":11.165965054667408,"quality":"neutral"},{"name":"Labha","start":"11:10","end":"12:41","startHours":11.165965054667408,"endHours":12.681160093695457,"quality":"auspicious"},{"name":"Amṛta","start":"12:41","end":"14:12","startHours":12.681160093695457,"endHours":14.196355132723504,"quality":"auspicious"},{"name":"Kāla","start":"14:12","end":"15:43","startHours":14.196355132723504,"endHours":15.711550171751552,"quality":"inauspicious"},{"name":"Śubha","start":"15:43","end":"17:14","startHours":15.711550171751552,"endHours":17.226745210779598,"quality":"auspicious"},{"name":"Roga","start":"17:14","end":"18:45","startHours":17.226745210779598,"endHours":18.741940249807648,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:45","end":"20:14","startHours":18.741940249807648,"endHours":20.2267452107796,"quality":"inauspicious"},{"name":"Śubha","start":"20:14","end":"21:43","startHours":20.2267452107796,"endHours":21.71155017175155,"quality":"auspicious"},{"name":"Roga","start":"21:43","end":"23:12","startHours":21.71155017175155,"endHours":23.196355132723504,"quality":"inauspicious"},{"name":"Udveg","start":"23:12","end":"00:41","startHours":23.196355132723504,"endHours":24.681160093695457,"quality":"inauspicious"},{"name":"Chala","start":"00:41","end":"02:10","startHours":24.681160093695457,"endHours":26.16596505466741,"quality":"neutral"},{"name":"Labha","start":"02:10","end":"03:39","startHours":26.16596505466741,"endHours":27.65077001563936,"quality":"auspicious"},{"name":"Amṛta","start":"03:39","end":"05:08","startHours":27.65077001563936,"endHours":29.135574976611313,"quality":"auspicious"},{"name":"Kāla","start":"05:08","end":"06:37","startHours":29.135574976611313,"endHours":30.620379937583266,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:37","end":"07:37","startHours":6.620379937583264,"endHours":7.620379937583264,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:37","end":"08:37","startHours":7.620379937583264,"endHours":8.620379937583264,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:37","end":"09:37","startHours":8.620379937583264,"endHours":9.620379937583264,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:37","end":"10:37","startHours":9.620379937583264,"endHours":10.620379937583264,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:37","end":"11:37","startHours":10.620379937583264,"endHours":11.620379937583264,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:37","end":"12:37","startHours":11.620379937583264,"endHours":12.620379937583264,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:37","end":"13:37","startHours":12.620379937583264,"endHours":13.620379937583264,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:37","end":"14:37","startHours":13.620379937583264,"endHours":14.620379937583264,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:37","end":"15:37","startHours":14.620379937583264,"endHours":15.620379937583264,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:37","end":"16:37","startHours":15.620379937583264,"endHours":16.620379937583266,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:37","end":"17:37","startHours":16.620379937583266,"endHours":17.620379937583266,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:37","end":"18:37","startHours":17.620379937583266,"endHours":18.620379937583266,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:37","end":"19:37","startHours":18.620379937583266,"endHours":19.620379937583266,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:37","end":"20:37","startHours":19.620379937583266,"endHours":20.620379937583266,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:37","end":"21:37","startHours":20.620379937583266,"endHours":21.620379937583266,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:37","end":"22:37","startHours":21.620379937583266,"endHours":22.620379937583266,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:37","end":"23:37","startHours":22.620379937583266,"endHours":23.620379937583266,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:37","end":"00:37","startHours":23.620379937583266,"endHours":24.620379937583266,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:37","end":"01:37","startHours":24.620379937583266,"endHours":25.620379937583266,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:37","end":"02:37","startHours":25.620379937583266,"endHours":26.620379937583266,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:37","end":"03:37","startHours":26.620379937583266,"endHours":27.620379937583266,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:37","end":"04:37","startHours":27.620379937583266,"endHours":28.620379937583266,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:37","end":"05:37","startHours":28.620379937583266,"endHours":29.620379937583266,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:37","end":"06:37","startHours":29.620379937583266,"endHours":30.620379937583266,"planetary_lord":"Saturn"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":0.1399092102184086,"eotMinutes":-7.842805621727393,"ayanamsa":25.4346}},"calendars":{"vikram_samvat":2170,"vikram_samvatsara":"Vyaya","saka_samvat":2035,"saka_samvatsara":"Śrīmukha","bengali_samvat":1520,"malayalam_era":1289,"nanakshahi_year":644,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Caturthī · Vikram 2170 Vyaya · Śaka 2035 Śrīmukha"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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 March 21, 2113 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"March 21, 2113 CE for Kolhāpur, Maharashtra: Śukla Caturthī, sūryodaya 06:37, sūryāsta 18:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2113-03-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2113-03-21","sa":"https://sa.vidhyamitra.com/city/kolhapur/2113-03-21","hi":"https://hi.vidhyamitra.com/city/kolhapur/2113-03-21","x-default":"https://vidhyamitra.com/city/kolhapur/2113-03-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T13:14:23.745Z","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":"2026-05-31T13:14:23.745Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T13:14:23.745Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}