{"id":"vidhyamitra:city-day:kolhapur:2109-09-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2109-09-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2109-09-20","date_display":"September 20, 2109 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":2109,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491618.770833,"kali_year":5211,"ahargana":1903153.2708,"sun":{"sidereal_longitude":150.6418,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":92.148,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":301.5062,"elapsed_within_tithi_degrees":1.5062},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":92.148,"elapsed_within_degrees":12.148},"yoga":{"number":19,"name":"Parigha","sum_longitude":242.7897},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2109,"month":9,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2491618.770833,"ahargana":1903153.2708,"kali_year":5211,"ayanamsa_lahiri":25.3857,"grahas":{"sun":{"sidereal_longitude":151.641298,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":91.46669800000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":-3.4271},"mars":{"sidereal_longitude":116.382698,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":133.70099800000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":110.62289799999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":196.15749800000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":277.928498,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":141.7811,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":321.7811,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2109,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2491618.770833,"kali_year":5211,"ahargana":1903153.2708,"sun":{"sidereal_longitude":150.6418,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":92.148,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":301.5062,"elapsed_within_tithi_degrees":1.5062},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":92.148,"elapsed_within_degrees":12.148},"yoga":{"number":19,"name":"Parigha","sum_longitude":242.7897},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.427,"elongation":58.494},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.427,"opposition_distance":121.506}},"eclipse_window_40days":[{"offset_days":-11,"type":"lunar","occurs":true,"moon_latitude":0.314,"opposition_distance":1.611},{"offset_days":5,"type":"solar","occurs":true,"moon_latitude":1.308,"elongation":2.915}]},"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":"18:31","solarNoonLocal":"12:26","dayLengthHours":12.163298006354449,"dayLengthDisplay":"12 Hours 09 Mins 48 Secs","nightLengthDisplay":"11 Hours 50 Mins 12 Secs","moonriseLocal":"01:56","moonsetLocal":"14:54","rahuKala":{"name":"Rāhu Kāla","start":"10:54","end":"12:26","startHours":10.907585836513121,"endHours":12.427998087307428,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:28","end":"16:59","startHours":15.468822588896039,"endHours":16.989234839690347,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:52","end":"09:23","startHours":7.86676133492451,"endHours":9.387173585718816,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:11","end":"09:35","startHours":9.184451952279575,"endHours":9.589895219158056,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:51","end":"07:11","startHours":6.853153167728305,"endHours":7.17750778123109,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:50","startHours":12.022554820428946,"endHours":12.83344135418591,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:43","end":"05:32","startHours":4.724576016616277,"endHours":5.53546255037324,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:20","end":"06:21","startHours":5.332740916933999,"endHours":6.346349084130203,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:16","startHours":14.455214421699836,"endHours":15.2661009554568,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:19","end":"18:43","startHours":18.309647090484653,"endHours":18.70964709048465,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:31","end":"19:01","startHours":18.509647090484652,"endHours":19.016451174082754,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:16","end":"20:01","startHours":18.259647090484652,"endHours":20.009647090484652,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:50","startHours":24.022554820428947,"endHours":24.83344135418591,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:21","end":"07:52","startHours":6.346349084130203,"endHours":7.86676133492451,"quality":"neutral"},{"name":"Labha","start":"07:52","end":"09:23","startHours":7.86676133492451,"endHours":9.387173585718816,"quality":"auspicious"},{"name":"Amṛta","start":"09:23","end":"10:54","startHours":9.387173585718816,"endHours":10.907585836513121,"quality":"auspicious"},{"name":"Kāla","start":"10:54","end":"12:26","startHours":10.907585836513121,"endHours":12.427998087307428,"quality":"inauspicious"},{"name":"Śubha","start":"12:26","end":"13:57","startHours":12.427998087307428,"endHours":13.948410338101734,"quality":"auspicious"},{"name":"Roga","start":"13:57","end":"15:28","startHours":13.948410338101734,"endHours":15.468822588896039,"quality":"inauspicious"},{"name":"Udveg","start":"15:28","end":"16:59","startHours":15.468822588896039,"endHours":16.989234839690347,"quality":"inauspicious"},{"name":"Chala","start":"16:59","end":"18:31","startHours":16.989234839690347,"endHours":18.509647090484652,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:31","end":"19:59","startHours":18.509647090484652,"endHours":19.989234839690347,"quality":"inauspicious"},{"name":"Udveg","start":"19:59","end":"21:28","startHours":19.989234839690347,"endHours":21.46882258889604,"quality":"inauspicious"},{"name":"Chala","start":"21:28","end":"22:57","startHours":21.46882258889604,"endHours":22.948410338101734,"quality":"neutral"},{"name":"Labha","start":"22:57","end":"00:26","startHours":22.948410338101734,"endHours":24.42799808730743,"quality":"auspicious"},{"name":"Amṛta","start":"00:26","end":"01:54","startHours":24.42799808730743,"endHours":25.90758583651312,"quality":"auspicious"},{"name":"Kāla","start":"01:54","end":"03:23","startHours":25.90758583651312,"endHours":27.387173585718816,"quality":"inauspicious"},{"name":"Śubha","start":"03:23","end":"04:52","startHours":27.387173585718816,"endHours":28.86676133492451,"quality":"auspicious"},{"name":"Roga","start":"04:52","end":"06:21","startHours":28.86676133492451,"endHours":30.346349084130203,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:21","end":"07:21","startHours":6.346349084130203,"endHours":7.346349084130203,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:21","end":"08:21","startHours":7.346349084130203,"endHours":8.346349084130203,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:21","end":"09:21","startHours":8.346349084130203,"endHours":9.346349084130203,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:21","end":"10:21","startHours":9.346349084130203,"endHours":10.346349084130203,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:21","end":"11:21","startHours":10.346349084130203,"endHours":11.346349084130203,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:21","end":"12:21","startHours":11.346349084130203,"endHours":12.346349084130203,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:21","end":"13:21","startHours":12.346349084130203,"endHours":13.346349084130203,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:21","end":"14:21","startHours":13.346349084130203,"endHours":14.346349084130203,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:21","end":"15:21","startHours":14.346349084130203,"endHours":15.346349084130203,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:21","end":"16:21","startHours":15.346349084130203,"endHours":16.346349084130203,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:21","end":"17:21","startHours":16.346349084130203,"endHours":17.346349084130203,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:21","end":"18:21","startHours":17.346349084130203,"endHours":18.346349084130203,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:21","end":"19:21","startHours":18.346349084130203,"endHours":19.346349084130203,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:21","end":"20:21","startHours":19.346349084130203,"endHours":20.346349084130203,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:21","end":"21:21","startHours":20.346349084130203,"endHours":21.346349084130203,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:21","end":"22:21","startHours":21.346349084130203,"endHours":22.346349084130203,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:21","end":"23:21","startHours":22.346349084130203,"endHours":23.346349084130203,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:21","end":"00:21","startHours":23.346349084130203,"endHours":24.346349084130203,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:21","end":"01:21","startHours":24.346349084130203,"endHours":25.346349084130203,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:21","end":"02:21","startHours":25.346349084130203,"endHours":26.346349084130203,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:21","end":"03:21","startHours":26.346349084130203,"endHours":27.346349084130203,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:21","end":"04:21","startHours":27.346349084130203,"endHours":28.346349084130203,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:21","end":"05:21","startHours":28.346349084130203,"endHours":29.346349084130203,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:21","end":"06:21","startHours":29.346349084130203,"endHours":30.346349084130203,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":1.1820127000186234,"eotMinutes":7.346914761554353,"ayanamsa":25.3857}},"calendars":{"vikram_samvat":2166,"vikram_samvatsara":"Citrabhānu","saka_samvat":2031,"saka_samvatsara":"Śukla","bengali_samvat":1516,"malayalam_era":1285,"nanakshahi_year":640,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","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":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Ekādaśī · Vikram 2166 Citrabhānu · Śaka 2031 Śukla"},"festivals":[{"id":"rama-ekadashi","name":"Ramā Ekādaśī","name_sanskrit":"रमा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu (with Ramā = Lakṣmī)","significance":"Lakṣmī (Ramā) granted boon to King Mucukunda.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Āśvina"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 Punarvasu","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 September 20, 2109 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"September 20, 2109 CE for Kolhāpur, Maharashtra: Kṛṣṇa Ekādaśī, sūryodaya 06:21, sūryāsta 18:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2109-09-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2109-09-20","sa":"https://sa.vidhyamitra.com/city/kolhapur/2109-09-20","hi":"https://hi.vidhyamitra.com/city/kolhapur/2109-09-20","x-default":"https://vidhyamitra.com/city/kolhapur/2109-09-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T08:00:42.150Z","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":"2026-06-01T08:00:42.150Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T08:00:42.150Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}