{"id":"vidhyamitra:city-day:kolhapur:2045-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2045-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-09-13","date_display":"September 13, 2045 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":2045,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468236.770833,"kali_year":5147,"ahargana":1879771.2708,"sun":{"sidereal_longitude":145.3517,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":172.4176,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":27.0658,"elapsed_within_tithi_degrees":3.0658},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":172.4176,"elapsed_within_degrees":12.4176},"yoga":{"number":24,"name":"Śukla","sum_longitude":317.7693},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2045,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468236.770833,"ahargana":1879771.2708,"kali_year":5147,"ayanamsa_lahiri":24.4914,"grahas":{"sun":{"sidereal_longitude":146.18486199999995,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":173.55386199999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false,"latitude":-3.5323},"mars":{"sidereal_longitude":108.17736200000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":149.227962,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":311.190462,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":188.71826199999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":220.76196200000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":300.672,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":120.672,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2045,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468236.770833,"kali_year":5147,"ahargana":1879771.2708,"sun":{"sidereal_longitude":145.3517,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":172.4176,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":27.0658,"elapsed_within_tithi_degrees":3.0658},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":172.4176,"elapsed_within_degrees":12.4176},"yoga":{"number":24,"name":"Śukla","sum_longitude":317.7693},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.532,"elongation":27.066},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.532,"opposition_distance":152.934}},"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":"06:20","sunsetLocal":"18:36","solarNoonLocal":"12:28","dayLengthHours":12.264292520546132,"dayLengthDisplay":"12 Hours 15 Mins 51 Secs","nightLengthDisplay":"11 Hours 44 Mins 09 Secs","moonriseLocal":"08:24","moonsetLocal":"20:12","rahuKala":{"name":"Rāhu Kāla","start":"12:28","end":"14:00","startHours":12.471215484502235,"endHours":14.0042520495705,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:52","end":"09:24","startHours":7.872105789297434,"endHours":9.405142354365701,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:56","end":"12:28","startHours":10.938178919433966,"endHours":12.471215484502235,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:12","end":"09:37","startHours":9.200737479023266,"endHours":9.609547229708136,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:51","end":"07:11","startHours":6.850081412585257,"endHours":7.177129213133154,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:53","startHours":12.062405733817362,"endHours":12.880025235187103,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:42","end":"05:31","startHours":4.703830221489683,"endHours":5.521449722859426,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:19","end":"06:20","startHours":5.31704484751699,"endHours":6.339069224229168,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:20","startHours":14.51526423792659,"endHours":15.332883739296333,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:24","end":"18:48","startHours":18.4033617447753,"endHours":18.803361744775298,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:36","end":"19:07","startHours":18.6033617447753,"endHours":19.114373933131386,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:21","end":"20:06","startHours":18.3533617447753,"endHours":20.1033617447753,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:53","startHours":24.06240573381736,"endHours":24.8800252351871,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:20","end":"07:52","startHours":6.339069224229168,"endHours":7.872105789297434,"quality":"auspicious"},{"name":"Amṛta","start":"07:52","end":"09:24","startHours":7.872105789297434,"endHours":9.405142354365701,"quality":"auspicious"},{"name":"Kāla","start":"09:24","end":"10:56","startHours":9.405142354365701,"endHours":10.938178919433966,"quality":"inauspicious"},{"name":"Śubha","start":"10:56","end":"12:28","startHours":10.938178919433966,"endHours":12.471215484502235,"quality":"auspicious"},{"name":"Roga","start":"12:28","end":"14:00","startHours":12.471215484502235,"endHours":14.0042520495705,"quality":"inauspicious"},{"name":"Udveg","start":"14:00","end":"15:32","startHours":14.0042520495705,"endHours":15.537288614638765,"quality":"inauspicious"},{"name":"Chala","start":"15:32","end":"17:04","startHours":15.537288614638765,"endHours":17.070325179707034,"quality":"neutral"},{"name":"Labha","start":"17:04","end":"18:36","startHours":17.070325179707034,"endHours":18.6033617447753,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:36","end":"20:04","startHours":18.6033617447753,"endHours":20.070325179707034,"quality":"inauspicious"},{"name":"Chala","start":"20:04","end":"21:32","startHours":20.070325179707034,"endHours":21.537288614638765,"quality":"neutral"},{"name":"Labha","start":"21:32","end":"23:00","startHours":21.537288614638765,"endHours":23.0042520495705,"quality":"auspicious"},{"name":"Amṛta","start":"23:00","end":"00:28","startHours":23.0042520495705,"endHours":24.47121548450223,"quality":"auspicious"},{"name":"Kāla","start":"00:28","end":"01:56","startHours":24.47121548450223,"endHours":25.938178919433966,"quality":"inauspicious"},{"name":"Śubha","start":"01:56","end":"03:24","startHours":25.938178919433966,"endHours":27.4051423543657,"quality":"auspicious"},{"name":"Roga","start":"03:24","end":"04:52","startHours":27.4051423543657,"endHours":28.872105789297436,"quality":"inauspicious"},{"name":"Udveg","start":"04:52","end":"06:20","startHours":28.872105789297436,"endHours":30.339069224229167,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:20","end":"07:20","startHours":6.339069224229168,"endHours":7.339069224229168,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:20","end":"08:20","startHours":7.339069224229168,"endHours":8.339069224229167,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:20","end":"09:20","startHours":8.339069224229167,"endHours":9.339069224229167,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:20","end":"10:20","startHours":9.339069224229167,"endHours":10.339069224229167,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:20","end":"11:20","startHours":10.339069224229167,"endHours":11.339069224229167,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:20","end":"12:20","startHours":11.339069224229167,"endHours":12.339069224229167,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:20","end":"13:20","startHours":12.339069224229167,"endHours":13.339069224229167,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:20","end":"14:20","startHours":13.339069224229167,"endHours":14.339069224229167,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:20","end":"15:20","startHours":14.339069224229167,"endHours":15.339069224229167,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:20","end":"16:20","startHours":15.339069224229167,"endHours":16.339069224229167,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:20","end":"17:20","startHours":16.339069224229167,"endHours":17.339069224229167,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:20","end":"18:20","startHours":17.339069224229167,"endHours":18.339069224229167,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:20","end":"19:20","startHours":18.339069224229167,"endHours":19.339069224229167,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:20","end":"20:20","startHours":19.339069224229167,"endHours":20.339069224229167,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:20","end":"21:20","startHours":20.339069224229167,"endHours":21.339069224229167,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:20","end":"22:20","startHours":21.339069224229167,"endHours":22.339069224229167,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:20","end":"23:20","startHours":22.339069224229167,"endHours":23.339069224229167,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:20","end":"00:20","startHours":23.339069224229167,"endHours":24.339069224229167,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:20","end":"01:20","startHours":24.339069224229167,"endHours":25.339069224229167,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:20","end":"02:20","startHours":25.339069224229167,"endHours":26.339069224229167,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:20","end":"03:20","startHours":26.339069224229167,"endHours":27.339069224229167,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:20","end":"04:20","startHours":27.339069224229167,"endHours":28.339069224229167,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:20","end":"05:20","startHours":28.339069224229167,"endHours":29.339069224229167,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:20","end":"06:20","startHours":29.339069224229167,"endHours":30.339069224229167,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"South-West","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.6945678726653632,"eotMinutes":4.753870929866006,"ayanamsa":24.4914}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Tṛtīyā · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"varaha-jayanti","name":"Varāha Jayantī","name_sanskrit":"वराह जयन्ती","tradition":"Vaishnava","associated_deity":"Varāha (3rd daśāvatāra of Krishna)","deity_avatara_index":12,"significance":"Varāha lifted Bhū-Devī from the cosmic ocean.","vrata":false,"detection":{"tithi_number":3,"tithi_paksha":"Śukla","lunar_month":"Bhādrapada"},"precedence":4,"sources":["Bhāgavata 3.13"]}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 September 13, 2045 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"September 13, 2045 CE for Kolhāpur, Maharashtra: Śukla Tṛtīyā, sūryodaya 06:20, sūryāsta 18:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2045-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2045-09-13","sa":"https://sa.vidhyamitra.com/city/kolhapur/2045-09-13","hi":"https://hi.vidhyamitra.com/city/kolhapur/2045-09-13","x-default":"https://vidhyamitra.com/city/kolhapur/2045-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T16:06:56.476Z","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":"2026-05-31T16:06:56.476Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T16:06:56.476Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}