{"id":"vidhyamitra:city-day:kolhapur:2020-07-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2020-07-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2020-07-15","date_display":"July 15, 2020 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":2020,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459045.770833,"kali_year":5122,"ahargana":1870580.2708,"sun":{"sidereal_longitude":88.4116,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":21.2883,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":292.8766,"elapsed_within_tithi_degrees":4.8766},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":21.2883,"elapsed_within_degrees":7.9549},"yoga":{"number":9,"name":"Śūla","sum_longitude":109.6999},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"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":2020,"month":7,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459045.770833,"ahargana":1870580.2708,"kali_year":5122,"ayanamsa_lahiri":24.1399,"grahas":{"sun":{"sidereal_longitude":88.89102600000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":21.577525999999978,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":-3.2554},"mars":{"sidereal_longitude":345.315326,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":71.199926,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":268.1027260000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":47.22272600000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":274.9149259999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":67.6554,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":247.6554,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2020,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459045.770833,"kali_year":5122,"ahargana":1870580.2708,"sun":{"sidereal_longitude":88.4116,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":21.2883,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":292.8766,"elapsed_within_tithi_degrees":4.8766},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":21.2883,"elapsed_within_degrees":7.9549},"yoga":{"number":9,"name":"Śūla","sum_longitude":109.6999},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.255,"elongation":67.123},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.255,"opposition_distance":112.877}},"eclipse_window_40days":[{"offset_days":-10,"type":"lunar","occurs":true,"moon_latitude":-0.833,"opposition_distance":0.084}]},"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":"06:08","sunsetLocal":"19:09","solarNoonLocal":"12:39","dayLengthHours":13.02948359172892,"dayLengthDisplay":"13 Hours 01 Mins 46 Secs","nightLengthDisplay":"10 Hours 58 Mins 14 Secs","moonriseLocal":"01:46","moonsetLocal":"14:32","rahuKala":{"name":"Rāhu Kāla","start":"12:39","end":"14:16","startHours":12.64350685177292,"endHours":14.272192300739032,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:45","end":"09:23","startHours":7.757450504874574,"endHours":9.38613595384069,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:01","end":"12:39","startHours":11.014821402806803,"endHours":12.64350685177292,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:10","end":"09:36","startHours":9.16897789397854,"endHours":9.603294013702836,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:40","end":"07:01","startHours":6.67166020556383,"endHours":7.019113101343268,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:13","end":"13:05","startHours":12.209190732048622,"endHours":13.077822971497216,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:23","end":"05:16","startHours":4.39150057701127,"endHours":5.260132816459864,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:03","end":"06:08","startHours":5.042974756597715,"endHours":6.128765055908459,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:49","end":"15:41","startHours":14.815087450394405,"endHours":15.683719689842999,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:57","end":"19:21","startHours":18.95824864763738,"endHours":19.358248647637378,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:09","end":"19:42","startHours":19.15824864763738,"endHours":19.70114379729275,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:54","end":"20:39","startHours":18.90824864763738,"endHours":20.65824864763738,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:13","end":"01:05","startHours":24.209190732048622,"endHours":25.077822971497216,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:08","end":"07:45","startHours":6.128765055908459,"endHours":7.757450504874574,"quality":"auspicious"},{"name":"Amṛta","start":"07:45","end":"09:23","startHours":7.757450504874574,"endHours":9.38613595384069,"quality":"auspicious"},{"name":"Kāla","start":"09:23","end":"11:01","startHours":9.38613595384069,"endHours":11.014821402806803,"quality":"inauspicious"},{"name":"Śubha","start":"11:01","end":"12:39","startHours":11.014821402806803,"endHours":12.64350685177292,"quality":"auspicious"},{"name":"Roga","start":"12:39","end":"14:16","startHours":12.64350685177292,"endHours":14.272192300739032,"quality":"inauspicious"},{"name":"Udveg","start":"14:16","end":"15:54","startHours":14.272192300739032,"endHours":15.900877749705149,"quality":"inauspicious"},{"name":"Chala","start":"15:54","end":"17:32","startHours":15.900877749705149,"endHours":17.529563198671262,"quality":"neutral"},{"name":"Labha","start":"17:32","end":"19:09","startHours":17.529563198671262,"endHours":19.15824864763738,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:09","end":"20:32","startHours":19.15824864763738,"endHours":20.529563198671262,"quality":"inauspicious"},{"name":"Chala","start":"20:32","end":"21:54","startHours":20.529563198671262,"endHours":21.90087774970515,"quality":"neutral"},{"name":"Labha","start":"21:54","end":"23:16","startHours":21.90087774970515,"endHours":23.272192300739036,"quality":"auspicious"},{"name":"Amṛta","start":"23:16","end":"00:39","startHours":23.272192300739036,"endHours":24.64350685177292,"quality":"auspicious"},{"name":"Kāla","start":"00:39","end":"02:01","startHours":24.64350685177292,"endHours":26.014821402806803,"quality":"inauspicious"},{"name":"Śubha","start":"02:01","end":"03:23","startHours":26.014821402806803,"endHours":27.38613595384069,"quality":"auspicious"},{"name":"Roga","start":"03:23","end":"04:45","startHours":27.38613595384069,"endHours":28.757450504874576,"quality":"inauspicious"},{"name":"Udveg","start":"04:45","end":"06:08","startHours":28.757450504874576,"endHours":30.12876505590846,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:08","end":"07:08","startHours":6.128765055908459,"endHours":7.128765055908459,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:08","end":"08:08","startHours":7.128765055908459,"endHours":8.12876505590846,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:08","end":"09:08","startHours":8.12876505590846,"endHours":9.12876505590846,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:08","end":"10:08","startHours":9.12876505590846,"endHours":10.12876505590846,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:08","end":"11:08","startHours":10.12876505590846,"endHours":11.12876505590846,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:08","end":"12:08","startHours":11.12876505590846,"endHours":12.12876505590846,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:08","end":"13:08","startHours":12.12876505590846,"endHours":13.12876505590846,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:08","end":"14:08","startHours":13.12876505590846,"endHours":14.12876505590846,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:08","end":"15:08","startHours":14.12876505590846,"endHours":15.12876505590846,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:08","end":"16:08","startHours":15.12876505590846,"endHours":16.12876505590846,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:08","end":"17:08","startHours":16.12876505590846,"endHours":17.12876505590846,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:08","end":"18:08","startHours":17.12876505590846,"endHours":18.12876505590846,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:08","end":"19:08","startHours":18.12876505590846,"endHours":19.12876505590846,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:08","end":"20:08","startHours":19.12876505590846,"endHours":20.12876505590846,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:08","end":"21:08","startHours":20.12876505590846,"endHours":21.12876505590846,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:08","end":"22:08","startHours":21.12876505590846,"endHours":22.12876505590846,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:08","end":"23:08","startHours":22.12876505590846,"endHours":23.12876505590846,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:08","end":"00:08","startHours":23.12876505590846,"endHours":24.12876505590846,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:08","end":"01:08","startHours":24.12876505590846,"endHours":25.12876505590846,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:08","end":"02:08","startHours":25.12876505590846,"endHours":26.12876505590846,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:08","end":"03:08","startHours":26.12876505590846,"endHours":27.12876505590846,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:08","end":"04:08","startHours":27.12876505590846,"endHours":28.12876505590846,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:08","end":"05:08","startHours":28.12876505590846,"endHours":29.12876505590846,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:08","end":"06:08","startHours":29.12876505590846,"endHours":30.12876505590846,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.47102906851659,"eotMinutes":-5.583611106375076,"ayanamsa":24.1399}},"calendars":{"vikram_samvat":2077,"vikram_samvatsara":"Pramādī","saka_samvat":1942,"saka_samvatsara":"Śārvarī","bengali_samvat":1427,"malayalam_era":1196,"nanakshahi_year":551,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Daśamī · Vikram 2077 Pramādī · Śaka 1942 Śārvarī"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"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":[]},"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 July 15, 2020 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"July 15, 2020 CE for Kolhāpur, Maharashtra: Kṛṣṇa Daśamī, sūryodaya 06:08, sūryāsta 19:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2020-07-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2020-07-15","sa":"https://sa.vidhyamitra.com/city/kolhapur/2020-07-15","hi":"https://hi.vidhyamitra.com/city/kolhapur/2020-07-15","x-default":"https://vidhyamitra.com/city/kolhapur/2020-07-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T04:35:06.860Z","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":"2026-05-15T04:35:06.860Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T04:35:06.860Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}