{"id":"vidhyamitra:city-day:kolhapur:2050-05-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2050-05-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-05-05","date_display":"May 5, 2050 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":2050,"month":5,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469931.770833,"kali_year":5152,"ahargana":1881466.2708,"sun":{"sidereal_longitude":20.1356,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":176.9617,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":156.826,"elapsed_within_tithi_degrees":0.826},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":176.9617,"elapsed_within_degrees":3.6284},"yoga":{"number":15,"name":"Vajra","sum_longitude":197.0973},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2050,"month":5,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469931.770833,"ahargana":1881466.2708,"kali_year":5152,"ayanamsa_lahiri":24.5562,"grahas":{"sun":{"sidereal_longitude":20.210801000000004,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":177.95850099999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false,"latitude":-2.5081},"mars":{"sidereal_longitude":277.798401,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":357.398501,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":92.12810100000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"venus":{"sidereal_longitude":49.796200999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":283.48130100000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":210.8627,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":30.8627,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2050,"month":5,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469931.770833,"kali_year":5152,"ahargana":1881466.2708,"sun":{"sidereal_longitude":20.1356,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":176.9617,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":156.826,"elapsed_within_tithi_degrees":0.826},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":176.9617,"elapsed_within_degrees":3.6284},"yoga":{"number":15,"name":"Vajra","sum_longitude":197.0973},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.508,"elongation":156.826},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.508,"opposition_distance":23.174}},"eclipse_window_40days":[{"offset_days":2,"type":"lunar","occurs":true,"moon_latitude":-0.621,"opposition_distance":0.75}]},"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":"06:06","sunsetLocal":"18:53","solarNoonLocal":"12:30","dayLengthHours":12.791141284505345,"dayLengthDisplay":"12 Hours 47 Mins 28 Secs","nightLengthDisplay":"11 Hours 12 Mins 32 Secs","moonriseLocal":"17:09","moonsetLocal":"04:53","rahuKala":{"name":"Rāhu Kāla","start":"14:06","end":"15:42","startHours":14.09346226398879,"endHours":15.69235492455196,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:06","end":"07:42","startHours":6.098998961172951,"endHours":7.697891621736119,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:18","end":"10:54","startHours":9.296784282299287,"endHours":10.895676942862455,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:31","startHours":9.083598594224199,"endHours":9.509969970374376,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:38","end":"06:58","startHours":6.631963181360674,"endHours":6.973060282280817,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:55","startHours":12.068198227275445,"endHours":12.920940979575803,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:24","end":"05:15","startHours":4.393513456572238,"endHours":5.246256208872595,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:02","end":"06:06","startHours":5.033070520797505,"endHours":6.098998961172951,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:29","startHours":14.626426484176514,"endHours":15.47916923647687,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:41","end":"19:05","startHours":18.690140245678297,"endHours":19.090140245678295,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:53","end":"19:25","startHours":18.890140245678296,"endHours":19.423104465866018,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:38","end":"20:23","startHours":18.640140245678296,"endHours":20.390140245678296,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:55","startHours":24.068198227275445,"endHours":24.920940979575803,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:06","end":"07:42","startHours":6.098998961172951,"endHours":7.697891621736119,"quality":"auspicious"},{"name":"Roga","start":"07:42","end":"09:18","startHours":7.697891621736119,"endHours":9.296784282299287,"quality":"inauspicious"},{"name":"Udveg","start":"09:18","end":"10:54","startHours":9.296784282299287,"endHours":10.895676942862455,"quality":"inauspicious"},{"name":"Chala","start":"10:54","end":"12:30","startHours":10.895676942862455,"endHours":12.494569603425624,"quality":"neutral"},{"name":"Labha","start":"12:30","end":"14:06","startHours":12.494569603425624,"endHours":14.09346226398879,"quality":"auspicious"},{"name":"Amṛta","start":"14:06","end":"15:42","startHours":14.09346226398879,"endHours":15.69235492455196,"quality":"auspicious"},{"name":"Kāla","start":"15:42","end":"17:17","startHours":15.69235492455196,"endHours":17.29124758511513,"quality":"inauspicious"},{"name":"Śubha","start":"17:17","end":"18:53","startHours":17.29124758511513,"endHours":18.890140245678296,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:53","end":"20:17","startHours":18.890140245678296,"endHours":20.291247585115126,"quality":"auspicious"},{"name":"Kāla","start":"20:17","end":"21:42","startHours":20.291247585115126,"endHours":21.69235492455196,"quality":"inauspicious"},{"name":"Śubha","start":"21:42","end":"23:06","startHours":21.69235492455196,"endHours":23.09346226398879,"quality":"auspicious"},{"name":"Roga","start":"23:06","end":"00:30","startHours":23.09346226398879,"endHours":24.494569603425624,"quality":"inauspicious"},{"name":"Udveg","start":"00:30","end":"01:54","startHours":24.494569603425624,"endHours":25.895676942862455,"quality":"inauspicious"},{"name":"Chala","start":"01:54","end":"03:18","startHours":25.895676942862455,"endHours":27.296784282299285,"quality":"neutral"},{"name":"Labha","start":"03:18","end":"04:42","startHours":27.296784282299285,"endHours":28.69789162173612,"quality":"auspicious"},{"name":"Amṛta","start":"04:42","end":"06:06","startHours":28.69789162173612,"endHours":30.098998961172953,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:06","end":"07:06","startHours":6.098998961172951,"endHours":7.098998961172951,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:06","end":"08:06","startHours":7.098998961172951,"endHours":8.098998961172951,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:06","end":"09:06","startHours":8.098998961172951,"endHours":9.098998961172951,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:06","end":"10:06","startHours":9.098998961172951,"endHours":10.098998961172951,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:06","end":"11:06","startHours":10.098998961172951,"endHours":11.098998961172951,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:06","end":"12:06","startHours":11.098998961172951,"endHours":12.098998961172951,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:06","end":"13:06","startHours":12.098998961172951,"endHours":13.098998961172951,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:06","end":"14:06","startHours":13.098998961172951,"endHours":14.098998961172951,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:06","end":"15:06","startHours":14.098998961172951,"endHours":15.098998961172951,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:06","end":"16:06","startHours":15.098998961172951,"endHours":16.098998961172953,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:06","end":"17:06","startHours":16.098998961172953,"endHours":17.098998961172953,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:06","end":"18:06","startHours":17.098998961172953,"endHours":18.098998961172953,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:06","end":"19:06","startHours":18.098998961172953,"endHours":19.098998961172953,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:06","end":"20:06","startHours":19.098998961172953,"endHours":20.098998961172953,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:06","end":"21:06","startHours":20.098998961172953,"endHours":21.098998961172953,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:06","end":"22:06","startHours":21.098998961172953,"endHours":22.098998961172953,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:06","end":"23:06","startHours":22.098998961172953,"endHours":23.098998961172953,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:06","end":"00:06","startHours":23.098998961172953,"endHours":24.098998961172953,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:06","end":"01:06","startHours":24.098998961172953,"endHours":25.098998961172953,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:06","end":"02:06","startHours":25.098998961172953,"endHours":26.098998961172953,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:06","end":"03:06","startHours":26.098998961172953,"endHours":27.098998961172953,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:06","end":"04:06","startHours":27.098998961172953,"endHours":28.098998961172953,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:06","end":"05:06","startHours":28.098998961172953,"endHours":29.098998961172953,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:06","end":"06:06","startHours":29.098998961172953,"endHours":30.098998961172953,"planetary_lord":"Moon"}],"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":16.265773838390057,"eotMinutes":3.3526237944626183,"ayanamsa":24.5562}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"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":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Caturdaśī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[{"id":"narasimha-jayanti","name":"Narasiṁha Jayantī","name_sanskrit":"नरसिंह जयन्ती","tradition":"Vaishnava","associated_deity":"Narasiṁha (avatar of Krishna)","deity_avatara_index":14,"significance":"Bhagavān Narasiṁha manifested to protect the bhakta Prahlāda. Krishna's fierce protective form.","vrata":true,"primary_observance":"Sandhyā (twilight) abhiṣekam; recitation of Narasiṁha-Stotra","detection":{"tithi_number":14,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":1,"related_chart":"narasimha","sources":["Bhāgavata Purāṇa 7.8"]},{"id":"chhinnamasta-jayanti","name":"Chhinnamastā Jayantī","name_sanskrit":"छिन्नमस्ता जयन्ती","tradition":"Shakta","associated_deity":"Devī Chhinnamastā (6th of 10 Mahāvidyās)","significance":"The 6th of the Daśa Mahāvidyās. Devī's self-decapitation form representing transcendence of ego.","vrata":false,"detection":{"tithi_number":14,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":5}],"todays_walk":{"walk":{"id":"narasimha-jayanti-walk","name":"Narasiṁha Jayantī Walk","name_sanskrit":"नरसिंह जयन्ती यात्रा","type":"festival","description":"Bhāgavata 7.8 (Prahlāda-Narasiṁha) + protective verses.","step_count":9,"url":"/walk/narasimha-jayanti-walk"},"reason":"Today is Narasiṁha Jayantī — its dedicated 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 5, 2050 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"May 5, 2050 CE for Kolhāpur, Maharashtra: Śukla Caturdaśī, sūryodaya 06:06, sūryāsta 18:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2050-05-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2050-05-05","sa":"https://sa.vidhyamitra.com/city/kolhapur/2050-05-05","hi":"https://hi.vidhyamitra.com/city/kolhapur/2050-05-05","x-default":"https://vidhyamitra.com/city/kolhapur/2050-05-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T18:36:13.745Z","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":"2026-05-31T18:36:13.745Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T18:36:13.745Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}