{"id":"vidhyamitra:city-day:kolhapur:2045-09-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2045-09-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-09-24","date_display":"September 24, 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":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468247.770833,"kali_year":5147,"ahargana":1879782.2708,"sun":{"sidereal_longitude":156.0692,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":310.7559,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":154.6867,"elapsed_within_tithi_degrees":10.6867},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.7559,"elapsed_within_degrees":4.0892},"yoga":{"number":9,"name":"Śūla","sum_longitude":106.825},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468247.770833,"ahargana":1879782.2708,"kali_year":5147,"ayanamsa_lahiri":24.4918,"grahas":{"sun":{"sidereal_longitude":156.92154200000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":312.38614200000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false,"latitude":0.8321},"mars":{"sidereal_longitude":115.04984200000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":168.16984200000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":309.933442,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":201.07814200000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":221.45154200000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":300.0891,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":120.0891,"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":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468247.770833,"kali_year":5147,"ahargana":1879782.2708,"sun":{"sidereal_longitude":156.0692,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":310.7559,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":154.6867,"elapsed_within_tithi_degrees":10.6867},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.7559,"elapsed_within_degrees":4.0892},"yoga":{"number":9,"name":"Śūla","sum_longitude":106.825},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.832,"elongation":154.687},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.832,"opposition_distance":25.313}},"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":"06:21","sunsetLocal":"18:27","solarNoonLocal":"12:24","dayLengthHours":12.093472038642286,"dayLengthDisplay":"12 Hours 05 Mins 36 Secs","nightLengthDisplay":"11 Hours 54 Mins 24 Secs","moonriseLocal":"16:55","moonsetLocal":"04:38","rahuKala":{"name":"Rāhu Kāla","start":"16:56","end":"18:27","startHours":16.938946841261217,"endHours":18.450630846091503,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:24","end":"13:55","startHours":12.40389482677036,"endHours":13.915578831600646,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:26","end":"16:56","startHours":15.42726283643093,"endHours":16.938946841261217,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:11","end":"09:35","startHours":9.178968949799083,"endHours":9.582084684420494,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:52","end":"07:11","startHours":6.861053475725979,"endHours":7.1835460634231065,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:48","startHours":12.000779092148951,"endHours":12.807010561391769,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:45","end":"05:33","startHours":4.7446958689635785,"endHours":5.550927338206398,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:21","end":"06:21","startHours":5.349369470895693,"endHours":6.357158807449217,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:25","end":"15:14","startHours":14.419473499877407,"endHours":15.225704969120226,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:15","end":"18:39","startHours":18.250630846091504,"endHours":18.650630846091502,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:27","end":"18:57","startHours":18.450630846091503,"endHours":18.954525514368264,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:12","end":"19:57","startHours":18.200630846091503,"endHours":19.950630846091503,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:48","startHours":24.000779092148953,"endHours":24.80701056139177,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:21","end":"07:52","startHours":6.357158807449217,"endHours":7.868842812279503,"quality":"inauspicious"},{"name":"Chala","start":"07:52","end":"09:23","startHours":7.868842812279503,"endHours":9.38052681710979,"quality":"neutral"},{"name":"Labha","start":"09:23","end":"10:54","startHours":9.38052681710979,"endHours":10.892210821940074,"quality":"auspicious"},{"name":"Amṛta","start":"10:54","end":"12:24","startHours":10.892210821940074,"endHours":12.40389482677036,"quality":"auspicious"},{"name":"Kāla","start":"12:24","end":"13:55","startHours":12.40389482677036,"endHours":13.915578831600646,"quality":"inauspicious"},{"name":"Śubha","start":"13:55","end":"15:26","startHours":13.915578831600646,"endHours":15.42726283643093,"quality":"auspicious"},{"name":"Roga","start":"15:26","end":"16:56","startHours":15.42726283643093,"endHours":16.938946841261217,"quality":"inauspicious"},{"name":"Udveg","start":"16:56","end":"18:27","startHours":16.938946841261217,"endHours":18.450630846091503,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:27","end":"19:56","startHours":18.450630846091503,"endHours":19.938946841261217,"quality":"auspicious"},{"name":"Roga","start":"19:56","end":"21:26","startHours":19.938946841261217,"endHours":21.42726283643093,"quality":"inauspicious"},{"name":"Udveg","start":"21:26","end":"22:55","startHours":21.42726283643093,"endHours":22.915578831600648,"quality":"inauspicious"},{"name":"Chala","start":"22:55","end":"00:24","startHours":22.915578831600648,"endHours":24.40389482677036,"quality":"neutral"},{"name":"Labha","start":"00:24","end":"01:54","startHours":24.40389482677036,"endHours":25.892210821940076,"quality":"auspicious"},{"name":"Amṛta","start":"01:54","end":"03:23","startHours":25.892210821940076,"endHours":27.38052681710979,"quality":"auspicious"},{"name":"Kāla","start":"03:23","end":"04:52","startHours":27.38052681710979,"endHours":28.868842812279503,"quality":"inauspicious"},{"name":"Śubha","start":"04:52","end":"06:21","startHours":28.868842812279503,"endHours":30.357158807449217,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:21","end":"07:21","startHours":6.357158807449217,"endHours":7.357158807449217,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:21","end":"08:21","startHours":7.357158807449217,"endHours":8.357158807449217,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:21","end":"09:21","startHours":8.357158807449217,"endHours":9.357158807449217,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:21","end":"10:21","startHours":9.357158807449217,"endHours":10.357158807449217,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:21","end":"11:21","startHours":10.357158807449217,"endHours":11.357158807449217,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:21","end":"12:21","startHours":11.357158807449217,"endHours":12.357158807449217,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:21","end":"13:21","startHours":12.357158807449217,"endHours":13.357158807449217,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:21","end":"14:21","startHours":13.357158807449217,"endHours":14.357158807449217,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:21","end":"15:21","startHours":14.357158807449217,"endHours":15.357158807449217,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:21","end":"16:21","startHours":15.357158807449217,"endHours":16.357158807449217,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:21","end":"17:21","startHours":16.357158807449217,"endHours":17.357158807449217,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:21","end":"18:21","startHours":17.357158807449217,"endHours":18.357158807449217,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:21","end":"19:21","startHours":18.357158807449217,"endHours":19.357158807449217,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:21","end":"20:21","startHours":19.357158807449217,"endHours":20.357158807449217,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:21","end":"21:21","startHours":20.357158807449217,"endHours":21.357158807449217,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:21","end":"22:21","startHours":21.357158807449217,"endHours":22.357158807449217,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:21","end":"23:21","startHours":22.357158807449217,"endHours":23.357158807449217,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:21","end":"00:21","startHours":23.357158807449217,"endHours":24.357158807449217,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:21","end":"01:21","startHours":24.357158807449217,"endHours":25.357158807449217,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:21","end":"02:21","startHours":25.357158807449217,"endHours":26.357158807449217,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:21","end":"03:21","startHours":26.357158807449217,"endHours":27.357158807449217,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:21","end":"04:21","startHours":27.357158807449217,"endHours":28.357158807449217,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:21","end":"05:21","startHours":28.357158807449217,"endHours":29.357158807449217,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:21","end":"06:21","startHours":29.357158807449217,"endHours":30.357158807449217,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-0.5620840016138736,"eotMinutes":8.793110393778392,"ayanamsa":24.4918}},"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":"Kanyā (Puraṭṭāsi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Trayodaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 24, 2045 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"September 24, 2045 CE for Kolhāpur, Maharashtra: Śukla Trayodaśī, sūryodaya 06:21, sūryāsta 18:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2045-09-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2045-09-24","sa":"https://sa.vidhyamitra.com/city/kolhapur/2045-09-24","hi":"https://hi.vidhyamitra.com/city/kolhapur/2045-09-24","x-default":"https://vidhyamitra.com/city/kolhapur/2045-09-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T19:29:32.989Z","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":"2026-05-31T19:29:32.989Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T19:29:32.989Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}