{"id":"vidhyamitra:city-day:kolhapur:2021-10-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2021-10-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-10-20","date_display":"October 20, 2021 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":2021,"month":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459507.770833,"kali_year":5123,"ahargana":1871042.2708,"sun":{"sidereal_longitude":181.9391,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":356.4778,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":174.5387,"elapsed_within_tithi_degrees":6.5387},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":356.4778,"elapsed_within_degrees":9.8111},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":178.4168},"karana":{"half_tithi_index":29,"name":"Bava"},"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":2021,"month":10,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459507.770833,"ahargana":1871042.2708,"kali_year":5123,"ayanamsa_lahiri":24.1575,"grahas":{"sun":{"sidereal_longitude":182.71607399999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":356.194374,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false,"latitude":-3.2733},"mars":{"sidereal_longitude":178.46937400000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":165.915574,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":298.15437399999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":229.12037399999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":282.823974,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":43.1764,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":223.1764,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2021,"month":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459507.770833,"kali_year":5123,"ahargana":1871042.2708,"sun":{"sidereal_longitude":181.9391,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":356.4778,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":174.5387,"elapsed_within_tithi_degrees":6.5387},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":356.4778,"elapsed_within_degrees":9.8111},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":178.4168},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.273,"elongation":174.539},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.273,"opposition_distance":5.461}},"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":"06:26","sunsetLocal":"18:08","solarNoonLocal":"12:17","dayLengthHours":11.698785885014544,"dayLengthDisplay":"11 Hours 41 Mins 56 Secs","nightLengthDisplay":"12 Hours 18 Mins 04 Secs","moonriseLocal":"17:39","moonsetLocal":"06:03","rahuKala":{"name":"Rāhu Kāla","start":"12:17","end":"13:45","startHours":12.28883214592948,"endHours":13.751180381556296,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:54","end":"09:22","startHours":7.901787439049024,"endHours":9.364135674675843,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:50","end":"12:17","startHours":10.82648391030266,"endHours":12.28883214592948,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:10","end":"09:34","startHours":9.1691559099256,"endHours":9.559115439426085,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:56","end":"07:14","startHours":6.926888615297813,"endHours":7.238856238898201,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:41","startHours":11.898872616428994,"endHours":12.678791675429965,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:53","end":"05:40","startHours":4.879601085420267,"endHours":5.659520144421236,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:28","end":"06:26","startHours":5.464540379670995,"endHours":6.439439203422206,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"15:01","startHours":14.238629793431901,"endHours":15.01854885243287,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:56","end":"18:20","startHours":17.938225088436752,"endHours":18.33822508843675,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:08","end":"18:38","startHours":18.13822508843675,"endHours":18.625674500312357,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:53","end":"19:38","startHours":17.88822508843675,"endHours":19.63822508843675,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:41","startHours":23.898872616428996,"endHours":24.678791675429963,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:26","end":"07:54","startHours":6.439439203422206,"endHours":7.901787439049024,"quality":"auspicious"},{"name":"Amṛta","start":"07:54","end":"09:22","startHours":7.901787439049024,"endHours":9.364135674675843,"quality":"auspicious"},{"name":"Kāla","start":"09:22","end":"10:50","startHours":9.364135674675843,"endHours":10.82648391030266,"quality":"inauspicious"},{"name":"Śubha","start":"10:50","end":"12:17","startHours":10.82648391030266,"endHours":12.28883214592948,"quality":"auspicious"},{"name":"Roga","start":"12:17","end":"13:45","startHours":12.28883214592948,"endHours":13.751180381556296,"quality":"inauspicious"},{"name":"Udveg","start":"13:45","end":"15:13","startHours":13.751180381556296,"endHours":15.213528617183115,"quality":"inauspicious"},{"name":"Chala","start":"15:13","end":"16:41","startHours":15.213528617183115,"endHours":16.67587685280993,"quality":"neutral"},{"name":"Labha","start":"16:41","end":"18:08","startHours":16.67587685280993,"endHours":18.13822508843675,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:08","end":"19:41","startHours":18.13822508843675,"endHours":19.675876852809935,"quality":"inauspicious"},{"name":"Chala","start":"19:41","end":"21:13","startHours":19.675876852809935,"endHours":21.213528617183115,"quality":"neutral"},{"name":"Labha","start":"21:13","end":"22:45","startHours":21.213528617183115,"endHours":22.751180381556296,"quality":"auspicious"},{"name":"Amṛta","start":"22:45","end":"00:17","startHours":22.751180381556296,"endHours":24.28883214592948,"quality":"auspicious"},{"name":"Kāla","start":"00:17","end":"01:50","startHours":24.28883214592948,"endHours":25.826483910302663,"quality":"inauspicious"},{"name":"Śubha","start":"01:50","end":"03:22","startHours":25.826483910302663,"endHours":27.364135674675843,"quality":"auspicious"},{"name":"Roga","start":"03:22","end":"04:54","startHours":27.364135674675843,"endHours":28.901787439049023,"quality":"inauspicious"},{"name":"Udveg","start":"04:54","end":"06:26","startHours":28.901787439049023,"endHours":30.439439203422207,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:26","end":"07:26","startHours":6.439439203422206,"endHours":7.439439203422206,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:26","end":"08:26","startHours":7.439439203422206,"endHours":8.439439203422207,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:26","end":"09:26","startHours":8.439439203422207,"endHours":9.439439203422207,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:26","end":"10:26","startHours":9.439439203422207,"endHours":10.439439203422207,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:26","end":"11:26","startHours":10.439439203422207,"endHours":11.439439203422207,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:26","end":"12:26","startHours":11.439439203422207,"endHours":12.439439203422207,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:26","end":"13:26","startHours":12.439439203422207,"endHours":13.439439203422207,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:26","end":"14:26","startHours":13.439439203422207,"endHours":14.439439203422207,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:26","end":"15:26","startHours":14.439439203422207,"endHours":15.439439203422207,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:26","end":"16:26","startHours":15.439439203422207,"endHours":16.439439203422207,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:26","end":"17:26","startHours":16.439439203422207,"endHours":17.439439203422207,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:26","end":"18:26","startHours":17.439439203422207,"endHours":18.439439203422207,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:26","end":"19:26","startHours":18.439439203422207,"endHours":19.439439203422207,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:26","end":"20:26","startHours":19.439439203422207,"endHours":20.439439203422207,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:26","end":"21:26","startHours":20.439439203422207,"endHours":21.439439203422207,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:26","end":"22:26","startHours":21.439439203422207,"endHours":22.439439203422207,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:26","end":"23:26","startHours":22.439439203422207,"endHours":23.439439203422207,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:26","end":"00:26","startHours":23.439439203422207,"endHours":24.439439203422207,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:26","end":"01:26","startHours":24.439439203422207,"endHours":25.439439203422207,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:26","end":"02:26","startHours":25.439439203422207,"endHours":26.439439203422207,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:26","end":"03:26","startHours":26.439439203422207,"endHours":27.439439203422207,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:26","end":"04:26","startHours":27.439439203422207,"endHours":28.439439203422207,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:26","end":"05:26","startHours":28.439439203422207,"endHours":29.439439203422207,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:26","end":"06:26","startHours":29.439439203422207,"endHours":30.439439203422207,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"drikRitu":"Śarad (Autumn)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-10.357199512887838,"eotMinutes":15.696871244231174,"ayanamsa":24.1575}},"calendars":{"vikram_samvat":2078,"vikram_samvatsara":"Ānanda","saka_samvat":1943,"saka_samvatsara":"Plava","bengali_samvat":1428,"malayalam_era":1197,"nanakshahi_year":552,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Pūrṇimā · Vikram 2078 Ānanda · Śaka 1943 Plava"},"festivals":[{"id":"kartik-purnima","name":"Kārtika Pūrṇimā / Tripurī Pūrṇimā","name_sanskrit":"कार्तिक पूर्णिमा","tradition":"Pan-Hindu","significance":"Day Mahābhārata war began (4 Oct 3138 BCE). Śiva destroyed Tripurāsura.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Kārtika"},"precedence":2,"historical_anchor":{"event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","date_julian":"-3137-10-04","location":"Kurukṣetra"}},{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi":"Tulā"},"precedence":5}],"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","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 October 20, 2021 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"October 20, 2021 CE for Kolhāpur, Maharashtra: Śukla Pūrṇimā, sūryodaya 06:26, sūryāsta 18:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2021-10-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2021-10-20","sa":"https://sa.vidhyamitra.com/city/kolhapur/2021-10-20","hi":"https://hi.vidhyamitra.com/city/kolhapur/2021-10-20","x-default":"https://vidhyamitra.com/city/kolhapur/2021-10-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T16:58:15.164Z","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":"2026-05-15T16:58:15.164Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T16:58:15.164Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}