{"id":"vidhyamitra:city-day:kolhapur:2176-05-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2176-05-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2176-05-21","date_display":"May 21, 2176 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":2176,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515968.770833,"kali_year":5278,"ahargana":1927503.2708,"sun":{"sidereal_longitude":33.9581,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":184.0248,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":150.0667,"elapsed_within_tithi_degrees":6.0667},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":184.0248,"elapsed_within_degrees":10.6914},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":217.9828},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":2176,"month":5,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2515968.770833,"ahargana":1927503.2708,"kali_year":5278,"ayanamsa_lahiri":26.317,"grahas":{"sun":{"sidereal_longitude":34.41524900000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":185.25294899999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":-4.2895},"mars":{"sidereal_longitude":278.56994899999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":15.80194899999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":328.55904899999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":39.427549,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":17.91784899999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":291.6009,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":111.6009,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2176,"month":5,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515968.770833,"kali_year":5278,"ahargana":1927503.2708,"sun":{"sidereal_longitude":33.9581,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":184.0248,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":150.0667,"elapsed_within_tithi_degrees":6.0667},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":184.0248,"elapsed_within_degrees":10.6914},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":217.9828},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.29,"elongation":150.067},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.29,"opposition_distance":29.933}},"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":"06:00","sunsetLocal":"18:59","solarNoonLocal":"12:29","dayLengthHours":12.974427361722855,"dayLengthDisplay":"12 Hours 58 Mins 28 Secs","nightLengthDisplay":"11 Hours 01 Mins 32 Secs","moonriseLocal":"16:45","moonsetLocal":"04:21","rahuKala":{"name":"Rāhu Kāla","start":"15:44","end":"17:21","startHours":15.735063210722744,"endHours":17.3568666309381,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:15","end":"10:52","startHours":9.247849529861316,"endHours":10.869652950076674,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:29","end":"14:07","startHours":12.491456370292031,"endHours":14.113259790507387,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:02","end":"09:28","startHours":9.031609073832602,"endHours":9.46408998589003,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:33","end":"06:53","startHours":6.544843829502389,"endHours":6.890828559148332,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:55","startHours":12.058975458234602,"endHours":12.92393728234946,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:16","end":"05:08","startHours":4.274319041200889,"endHours":5.139280865315746,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:55","end":"06:00","startHours":4.923040409287031,"endHours":6.004242689430603,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:31","startHours":14.653860930579173,"endHours":15.51882275469403,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:47","end":"19:11","startHours":18.77867005115346,"endHours":19.178670051153457,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:59","end":"19:31","startHours":18.978670051153458,"endHours":19.519271191225243,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:44","end":"20:29","startHours":18.728670051153458,"endHours":20.478670051153458,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:55","startHours":24.058975458234602,"endHours":24.92393728234946,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:00","end":"07:38","startHours":6.004242689430603,"endHours":7.6260461096459595,"quality":"inauspicious"},{"name":"Udveg","start":"07:38","end":"09:15","startHours":7.6260461096459595,"endHours":9.247849529861316,"quality":"inauspicious"},{"name":"Chala","start":"09:15","end":"10:52","startHours":9.247849529861316,"endHours":10.869652950076674,"quality":"neutral"},{"name":"Labha","start":"10:52","end":"12:29","startHours":10.869652950076674,"endHours":12.491456370292031,"quality":"auspicious"},{"name":"Amṛta","start":"12:29","end":"14:07","startHours":12.491456370292031,"endHours":14.113259790507387,"quality":"auspicious"},{"name":"Kāla","start":"14:07","end":"15:44","startHours":14.113259790507387,"endHours":15.735063210722744,"quality":"inauspicious"},{"name":"Śubha","start":"15:44","end":"17:21","startHours":15.735063210722744,"endHours":17.3568666309381,"quality":"auspicious"},{"name":"Roga","start":"17:21","end":"18:59","startHours":17.3568666309381,"endHours":18.978670051153458,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:59","end":"20:21","startHours":18.978670051153458,"endHours":20.3568666309381,"quality":"inauspicious"},{"name":"Śubha","start":"20:21","end":"21:44","startHours":20.3568666309381,"endHours":21.735063210722743,"quality":"auspicious"},{"name":"Roga","start":"21:44","end":"23:07","startHours":21.735063210722743,"endHours":23.113259790507385,"quality":"inauspicious"},{"name":"Udveg","start":"23:07","end":"00:29","startHours":23.113259790507385,"endHours":24.49145637029203,"quality":"inauspicious"},{"name":"Chala","start":"00:29","end":"01:52","startHours":24.49145637029203,"endHours":25.869652950076674,"quality":"neutral"},{"name":"Labha","start":"01:52","end":"03:15","startHours":25.869652950076674,"endHours":27.247849529861316,"quality":"auspicious"},{"name":"Amṛta","start":"03:15","end":"04:38","startHours":27.247849529861316,"endHours":28.626046109645962,"quality":"auspicious"},{"name":"Kāla","start":"04:38","end":"06:00","startHours":28.626046109645962,"endHours":30.004242689430605,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:00","end":"07:00","startHours":6.004242689430603,"endHours":7.004242689430603,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:00","end":"08:00","startHours":7.004242689430603,"endHours":8.004242689430603,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:00","end":"09:00","startHours":8.004242689430603,"endHours":9.004242689430603,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:00","end":"10:00","startHours":9.004242689430603,"endHours":10.004242689430603,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:00","end":"11:00","startHours":10.004242689430603,"endHours":11.004242689430603,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:00","end":"12:00","startHours":11.004242689430603,"endHours":12.004242689430603,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:00","end":"13:00","startHours":12.004242689430603,"endHours":13.004242689430603,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:00","end":"14:00","startHours":13.004242689430603,"endHours":14.004242689430603,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:00","end":"15:00","startHours":14.004242689430603,"endHours":15.004242689430603,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:00","end":"16:00","startHours":15.004242689430603,"endHours":16.004242689430605,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:00","end":"17:00","startHours":16.004242689430605,"endHours":17.004242689430605,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:00","end":"18:00","startHours":17.004242689430605,"endHours":18.004242689430605,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:00","end":"19:00","startHours":18.004242689430605,"endHours":19.004242689430605,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:00","end":"20:00","startHours":19.004242689430605,"endHours":20.004242689430605,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:00","end":"21:00","startHours":20.004242689430605,"endHours":21.004242689430605,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:00","end":"22:00","startHours":21.004242689430605,"endHours":22.004242689430605,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:00","end":"23:00","startHours":22.004242689430605,"endHours":23.004242689430605,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:00","end":"00:00","startHours":23.004242689430605,"endHours":24.004242689430605,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:00","end":"01:00","startHours":24.004242689430605,"endHours":25.004242689430605,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:00","end":"02:00","startHours":25.004242689430605,"endHours":26.004242689430605,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:00","end":"03:00","startHours":26.004242689430605,"endHours":27.004242689430605,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:00","end":"04:00","startHours":27.004242689430605,"endHours":28.004242689430605,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:00","end":"05:00","startHours":28.004242689430605,"endHours":29.004242689430605,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:00","end":"06:00","startHours":29.004242689430605,"endHours":30.004242689430605,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"North","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.301472690569746,"eotMinutes":3.539417782478063,"ayanamsa":26.317}},"calendars":{"vikram_samvat":2233,"vikram_samvatsara":"Virodhi","saka_samvat":2098,"saka_samvatsara":"Dhātṛ","bengali_samvat":1583,"malayalam_era":1352,"nanakshahi_year":707,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Trayodaśī · Vikram 2233 Virodhi · Śaka 2098 Dhātṛ"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 May 21, 2176 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"May 21, 2176 CE for Kolhāpur, Maharashtra: Śukla Trayodaśī, sūryodaya 06:00, sūryāsta 18:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2176-05-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2176-05-21","sa":"https://sa.vidhyamitra.com/city/kolhapur/2176-05-21","hi":"https://hi.vidhyamitra.com/city/kolhapur/2176-05-21","x-default":"https://vidhyamitra.com/city/kolhapur/2176-05-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T09:07:27.382Z","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":"2026-05-31T09:07:27.382Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T09:07:27.382Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}