{"id":"vidhyamitra:city-day:kolhapur:2100-05-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2100-05-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2100-05-18","date_display":"May 18, 2100 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":2100,"month":5,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488206.770833,"kali_year":5202,"ahargana":1899741.2708,"sun":{"sidereal_longitude":31.7235,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":136.7707,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":105.0472,"elapsed_within_tithi_degrees":9.0472},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":136.7707,"elapsed_within_degrees":3.4373},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":168.4942},"karana":{"half_tithi_index":17,"name":"Kaulava"},"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":2100,"month":5,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488206.770833,"ahargana":1899741.2708,"kali_year":5202,"ayanamsa_lahiri":25.2552,"grahas":{"sun":{"sidereal_longitude":31.98646100000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":133.84716100000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false,"latitude":0.4539},"mars":{"sidereal_longitude":79.29776100000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":52.41956099999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":167.64476100000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":true},"venus":{"sidereal_longitude":21.92136099999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":174.35076099999992,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":322.5653,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":142.5653,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2100,"month":5,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488206.770833,"kali_year":5202,"ahargana":1899741.2708,"sun":{"sidereal_longitude":31.7235,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":136.7707,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":105.0472,"elapsed_within_tithi_degrees":9.0472},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":136.7707,"elapsed_within_degrees":3.4373},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":168.4942},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.454,"elongation":105.047},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.454,"opposition_distance":74.953}},"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":"06:01","sunsetLocal":"18:58","solarNoonLocal":"12:29","dayLengthHours":12.939118489679124,"dayLengthDisplay":"12 Hours 56 Mins 21 Secs","nightLengthDisplay":"11 Hours 03 Mins 39 Secs","moonriseLocal":"13:04","moonsetLocal":"01:29","rahuKala":{"name":"Rāhu Kāla","start":"15:43","end":"17:20","startHours":15.72373991924529,"endHours":17.34112973045518,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:15","end":"10:52","startHours":9.254180674405728,"endHours":10.871570485615617,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:29","end":"14:06","startHours":12.488960296825507,"endHours":14.106350108035397,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:02","end":"09:28","startHours":9.038528699577741,"endHours":9.469832649233712,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:34","end":"06:54","startHours":6.558530989055909,"endHours":6.903574148780686,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:55","startHours":12.057656347169535,"endHours":12.920264246481478,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:18","end":"05:09","startHours":4.294185253362063,"endHours":5.156793152674004,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:56","end":"06:01","startHours":4.941141177846019,"endHours":6.0194010519859455,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:30","startHours":14.645480045105362,"endHours":15.508087944417303,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:46","end":"19:10","startHours":18.75851954166507,"endHours":19.15851954166507,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:58","end":"19:30","startHours":18.95851954166507,"endHours":19.49764947873503,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:43","end":"20:28","startHours":18.70851954166507,"endHours":20.45851954166507,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:55","startHours":24.057656347169537,"endHours":24.920264246481477,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:01","end":"07:38","startHours":6.0194010519859455,"endHours":7.636790863195836,"quality":"inauspicious"},{"name":"Udveg","start":"07:38","end":"09:15","startHours":7.636790863195836,"endHours":9.254180674405728,"quality":"inauspicious"},{"name":"Chala","start":"09:15","end":"10:52","startHours":9.254180674405728,"endHours":10.871570485615617,"quality":"neutral"},{"name":"Labha","start":"10:52","end":"12:29","startHours":10.871570485615617,"endHours":12.488960296825507,"quality":"auspicious"},{"name":"Amṛta","start":"12:29","end":"14:06","startHours":12.488960296825507,"endHours":14.106350108035397,"quality":"auspicious"},{"name":"Kāla","start":"14:06","end":"15:43","startHours":14.106350108035397,"endHours":15.72373991924529,"quality":"inauspicious"},{"name":"Śubha","start":"15:43","end":"17:20","startHours":15.72373991924529,"endHours":17.34112973045518,"quality":"auspicious"},{"name":"Roga","start":"17:20","end":"18:58","startHours":17.34112973045518,"endHours":18.95851954166507,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:58","end":"20:20","startHours":18.95851954166507,"endHours":20.34112973045518,"quality":"inauspicious"},{"name":"Śubha","start":"20:20","end":"21:43","startHours":20.34112973045518,"endHours":21.72373991924529,"quality":"auspicious"},{"name":"Roga","start":"21:43","end":"23:06","startHours":21.72373991924529,"endHours":23.106350108035397,"quality":"inauspicious"},{"name":"Udveg","start":"23:06","end":"00:29","startHours":23.106350108035397,"endHours":24.488960296825507,"quality":"inauspicious"},{"name":"Chala","start":"00:29","end":"01:52","startHours":24.488960296825507,"endHours":25.871570485615617,"quality":"neutral"},{"name":"Labha","start":"01:52","end":"03:15","startHours":25.871570485615617,"endHours":27.254180674405724,"quality":"auspicious"},{"name":"Amṛta","start":"03:15","end":"04:38","startHours":27.254180674405724,"endHours":28.636790863195834,"quality":"auspicious"},{"name":"Kāla","start":"04:38","end":"06:01","startHours":28.636790863195834,"endHours":30.019401051985945,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:01","end":"07:01","startHours":6.0194010519859455,"endHours":7.0194010519859455,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:01","end":"08:01","startHours":7.0194010519859455,"endHours":8.019401051985945,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:01","end":"09:01","startHours":8.019401051985945,"endHours":9.019401051985945,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:01","end":"10:01","startHours":9.019401051985945,"endHours":10.019401051985945,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:01","end":"11:01","startHours":10.019401051985945,"endHours":11.019401051985945,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:01","end":"12:01","startHours":11.019401051985945,"endHours":12.019401051985945,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:01","end":"13:01","startHours":12.019401051985945,"endHours":13.019401051985945,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:01","end":"14:01","startHours":13.019401051985945,"endHours":14.019401051985945,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:01","end":"15:01","startHours":14.019401051985945,"endHours":15.019401051985945,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:01","end":"16:01","startHours":15.019401051985945,"endHours":16.019401051985945,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:01","end":"17:01","startHours":16.019401051985945,"endHours":17.019401051985945,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:01","end":"18:01","startHours":17.019401051985945,"endHours":18.019401051985945,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:01","end":"19:01","startHours":18.019401051985945,"endHours":19.019401051985945,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:01","end":"20:01","startHours":19.019401051985945,"endHours":20.019401051985945,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:01","end":"21:01","startHours":20.019401051985945,"endHours":21.019401051985945,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:01","end":"22:01","startHours":21.019401051985945,"endHours":22.019401051985945,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:01","end":"23:01","startHours":22.019401051985945,"endHours":23.019401051985945,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:01","end":"00:01","startHours":23.019401051985945,"endHours":24.019401051985945,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:01","end":"01:01","startHours":24.019401051985945,"endHours":25.019401051985945,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:01","end":"02:01","startHours":25.019401051985945,"endHours":26.019401051985945,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:01","end":"03:01","startHours":26.019401051985945,"endHours":27.019401051985945,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:01","end":"04:01","startHours":27.019401051985945,"endHours":28.019401051985945,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:01","end":"05:01","startHours":28.019401051985945,"endHours":29.019401051985945,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:01","end":"06:01","startHours":29.019401051985945,"endHours":30.019401051985945,"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":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.540749740270222,"eotMinutes":3.6891821904695723,"ayanamsa":25.2552}},"calendars":{"vikram_samvat":2157,"vikram_samvatsara":"Śrīmukha","saka_samvat":2022,"saka_samvatsara":"Raudra","bengali_samvat":1507,"malayalam_era":1276,"nanakshahi_year":631,"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 Navamī · Vikram 2157 Śrīmukha · Śaka 2022 Raudra"},"festivals":[{"id":"sita-navami","name":"Sītā Navamī","name_sanskrit":"सीता नवमी","tradition":"Vaishnava","associated_deity":"Sītā Devī (Lakṣmī as Bhū-suta)","significance":"Devī Sītā's manifestation in Mithilā; rāmāvatāra-kalatra.","vrata":true,"detection":{"tithi_number":9,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":2,"sources":["Vālmīki Rāmāyaṇa, Bāla-Kāṇḍa 66"]},{"id":"madhva-jayanti","name":"Madhvācārya Jayantī","name_sanskrit":"मध्वाचार्य जयन्ती","tradition":"Vaishnava","associated_deity":"Madhvācārya (Dvaita)","significance":"Birth of Madhvācārya; Dvaita-pratiṣṭhāpaka. Vaiśākha Śukla 9.","vrata":false,"detection":{"tithi_number":9,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":4}],"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":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","relevance":0.5}]},"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 18, 2100 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"May 18, 2100 CE for Kolhāpur, Maharashtra: Śukla Navamī, sūryodaya 06:01, sūryāsta 18:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2100-05-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2100-05-18","sa":"https://sa.vidhyamitra.com/city/kolhapur/2100-05-18","hi":"https://hi.vidhyamitra.com/city/kolhapur/2100-05-18","x-default":"https://vidhyamitra.com/city/kolhapur/2100-05-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T03:06:58.777Z","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":"2026-06-01T03:06:58.777Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T03:06:58.777Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}