{"id":"vidhyamitra:city-day:kolhapur:2113-10-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2113-10-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2113-10-21","date_display":"October 21, 2113 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":2113,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493110.770833,"kali_year":5215,"ahargana":1904645.2708,"sun":{"sidereal_longitude":181.1368,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":312.0311,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":130.8943,"elapsed_within_tithi_degrees":10.8943},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":312.0311,"elapsed_within_degrees":5.3644},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":133.1679},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2113,"month":10,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493110.770833,"ahargana":1904645.2708,"kali_year":5215,"ayanamsa_lahiri":25.4427,"grahas":{"sun":{"sidereal_longitude":182.13809200000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":310.3602920000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false,"latitude":-4.209},"mars":{"sidereal_longitude":160.30499199999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":165.27989200000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":212.84849199999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":168.035392,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":326.819392,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":62.7278,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":242.7278,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2113,"month":10,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493110.770833,"kali_year":5215,"ahargana":1904645.2708,"sun":{"sidereal_longitude":181.1368,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":312.0311,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":130.8943,"elapsed_within_tithi_degrees":10.8943},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":312.0311,"elapsed_within_degrees":5.3644},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":133.1679},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.209,"elongation":130.894},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.209,"opposition_distance":49.106}},"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":"06:27","sunsetLocal":"18:08","solarNoonLocal":"12:17","dayLengthHours":11.688347573595834,"dayLengthDisplay":"11 Hours 41 Mins 18 Secs","nightLengthDisplay":"12 Hours 18 Mins 42 Secs","moonriseLocal":"14:59","moonsetLocal":"02:41","rahuKala":{"name":"Rāhu Kāla","start":"09:22","end":"10:50","startHours":9.364536097155963,"endHours":10.82557954385544,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:45","end":"15:13","startHours":13.747666437254399,"endHours":15.20870988395388,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:27","end":"07:54","startHours":6.442449203757003,"endHours":7.903492650456482,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:10","end":"09:34","startHours":9.169730304262698,"endHours":9.559341890049225,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:56","end":"07:14","startHours":6.929463685990163,"endHours":7.241152954619385,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:41","startHours":11.897011404768394,"endHours":12.676234576341448,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:53","end":"05:40","startHours":4.884002860610892,"endHours":5.663226032183948,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:28","end":"06:27","startHours":5.468420239290683,"endHours":6.442449203757003,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"15:01","startHours":14.234680919487559,"endHours":15.013904091060615,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:56","end":"18:20","startHours":17.93079677735284,"endHours":18.330796777352838,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:08","end":"18:37","startHours":18.13079677735284,"endHours":18.617811259586,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:53","end":"19:38","startHours":17.88079677735284,"endHours":19.63079677735284,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:41","startHours":23.897011404768392,"endHours":24.67623457634145,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:27","end":"07:54","startHours":6.442449203757003,"endHours":7.903492650456482,"quality":"inauspicious"},{"name":"Śubha","start":"07:54","end":"09:22","startHours":7.903492650456482,"endHours":9.364536097155963,"quality":"auspicious"},{"name":"Roga","start":"09:22","end":"10:50","startHours":9.364536097155963,"endHours":10.82557954385544,"quality":"inauspicious"},{"name":"Udveg","start":"10:50","end":"12:17","startHours":10.82557954385544,"endHours":12.286622990554921,"quality":"inauspicious"},{"name":"Chala","start":"12:17","end":"13:45","startHours":12.286622990554921,"endHours":13.747666437254399,"quality":"neutral"},{"name":"Labha","start":"13:45","end":"15:13","startHours":13.747666437254399,"endHours":15.20870988395388,"quality":"auspicious"},{"name":"Amṛta","start":"15:13","end":"16:40","startHours":15.20870988395388,"endHours":16.669753330653357,"quality":"auspicious"},{"name":"Kāla","start":"16:40","end":"18:08","startHours":16.669753330653357,"endHours":18.13079677735284,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:08","end":"19:40","startHours":18.13079677735284,"endHours":19.669753330653357,"quality":"auspicious"},{"name":"Amṛta","start":"19:40","end":"21:13","startHours":19.669753330653357,"endHours":21.20870988395388,"quality":"auspicious"},{"name":"Kāla","start":"21:13","end":"22:45","startHours":21.20870988395388,"endHours":22.747666437254402,"quality":"inauspicious"},{"name":"Śubha","start":"22:45","end":"00:17","startHours":22.747666437254402,"endHours":24.28662299055492,"quality":"auspicious"},{"name":"Roga","start":"00:17","end":"01:50","startHours":24.28662299055492,"endHours":25.82557954385544,"quality":"inauspicious"},{"name":"Udveg","start":"01:50","end":"03:22","startHours":25.82557954385544,"endHours":27.364536097155963,"quality":"inauspicious"},{"name":"Chala","start":"03:22","end":"04:54","startHours":27.364536097155963,"endHours":28.903492650456485,"quality":"neutral"},{"name":"Labha","start":"04:54","end":"06:27","startHours":28.903492650456485,"endHours":30.442449203757004,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:27","end":"07:27","startHours":6.442449203757003,"endHours":7.442449203757003,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:27","end":"08:27","startHours":7.442449203757003,"endHours":8.442449203757004,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:27","end":"09:27","startHours":8.442449203757004,"endHours":9.442449203757004,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:27","end":"10:27","startHours":9.442449203757004,"endHours":10.442449203757004,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:27","end":"11:27","startHours":10.442449203757004,"endHours":11.442449203757004,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:27","end":"12:27","startHours":11.442449203757004,"endHours":12.442449203757004,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:27","end":"13:27","startHours":12.442449203757004,"endHours":13.442449203757004,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:27","end":"14:27","startHours":13.442449203757004,"endHours":14.442449203757004,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:27","end":"15:27","startHours":14.442449203757004,"endHours":15.442449203757004,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:27","end":"16:27","startHours":15.442449203757004,"endHours":16.442449203757004,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:27","end":"17:27","startHours":16.442449203757004,"endHours":17.442449203757004,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:27","end":"18:27","startHours":17.442449203757004,"endHours":18.442449203757004,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:27","end":"19:27","startHours":18.442449203757004,"endHours":19.442449203757004,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:27","end":"20:27","startHours":19.442449203757004,"endHours":20.442449203757004,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:27","end":"21:27","startHours":20.442449203757004,"endHours":21.442449203757004,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:27","end":"22:27","startHours":21.442449203757004,"endHours":22.442449203757004,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:27","end":"23:27","startHours":22.442449203757004,"endHours":23.442449203757004,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:27","end":"00:27","startHours":23.442449203757004,"endHours":24.442449203757004,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:27","end":"01:27","startHours":24.442449203757004,"endHours":25.442449203757004,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:27","end":"02:27","startHours":25.442449203757004,"endHours":26.442449203757004,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:27","end":"03:27","startHours":26.442449203757004,"endHours":27.442449203757004,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:27","end":"04:27","startHours":27.442449203757004,"endHours":28.442449203757004,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:27","end":"05:27","startHours":28.442449203757004,"endHours":29.442449203757004,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:27","end":"06:27","startHours":29.442449203757004,"endHours":30.442449203757004,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-10.611561998773904,"eotMinutes":15.829420566704727,"ayanamsa":25.4427}},"calendars":{"vikram_samvat":2170,"vikram_samvatsara":"Vyaya","saka_samvat":2035,"saka_samvatsara":"Śrīmukha","bengali_samvat":1520,"malayalam_era":1289,"nanakshahi_year":644,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Ekādaśī · Vikram 2170 Vyaya · Śaka 2035 Śrīmukha"},"festivals":[{"id":"pashankusha-ekadashi","name":"Pāśāṅkuśā Ekādaśī","name_sanskrit":"पाशाङ्कुशा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Padmanābha (Viṣṇu)","significance":"Confers strength + wealth + son; equivalent to 1000 Aśvamedha-yajñas.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 October 21, 2113 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"October 21, 2113 CE for Kolhāpur, Maharashtra: Śukla Ekādaśī, sūryodaya 06:27, sūryāsta 18:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2113-10-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2113-10-21","sa":"https://sa.vidhyamitra.com/city/kolhapur/2113-10-21","hi":"https://hi.vidhyamitra.com/city/kolhapur/2113-10-21","x-default":"https://vidhyamitra.com/city/kolhapur/2113-10-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T13:55:20.472Z","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":"2026-05-31T13:55:20.472Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T13:55:20.472Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}