{"id":"vidhyamitra:city-day:kolhapur:2113-07-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2113-07-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2113-07-20","date_display":"July 20, 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":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493017.770833,"kali_year":5215,"ahargana":1904552.2708,"sun":{"sidereal_longitude":91.1928,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":172.8537,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":81.6608,"elapsed_within_tithi_degrees":9.6608},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":172.8537,"elapsed_within_degrees":12.8537},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.0465},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":7,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493017.770833,"ahargana":1904552.2708,"kali_year":5215,"ayanamsa_lahiri":25.4392,"grahas":{"sun":{"sidereal_longitude":91.91704600000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":172.12474599999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":4.3423},"mars":{"sidereal_longitude":101.029046,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":74.30634599999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":201.105146,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":54.837545999999975,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":332.439346,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":67.6553,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":247.6553,"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":2113,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493017.770833,"kali_year":5215,"ahargana":1904552.2708,"sun":{"sidereal_longitude":91.1928,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":172.8537,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":81.6608,"elapsed_within_tithi_degrees":9.6608},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":172.8537,"elapsed_within_degrees":12.8537},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.0465},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.342,"elongation":81.661},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.342,"opposition_distance":98.339}},"eclipse_window_40days":[{"offset_days":-7,"type":"solar","occurs":true,"moon_latitude":1.347,"elongation":0.9}]},"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":"06:09","sunsetLocal":"19:09","solarNoonLocal":"12:39","dayLengthHours":12.992441483846378,"dayLengthDisplay":"12 Hours 59 Mins 33 Secs","nightLengthDisplay":"11 Hours 00 Mins 27 Secs","moonriseLocal":"12:06","moonsetLocal":"23:54","rahuKala":{"name":"Rāhu Kāla","start":"14:16","end":"15:54","startHours":14.274405539066752,"endHours":15.89846072454755,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:09","end":"07:47","startHours":6.154129611662767,"endHours":7.778184797143564,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:24","end":"11:02","startHours":9.402239982624362,"endHours":11.026295168105158,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:11","end":"09:37","startHours":9.185699291226921,"endHours":9.618780674021801,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:42","end":"07:03","startHours":6.695481340156366,"endHours":7.04194644639227,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:13","end":"13:05","startHours":12.217268970791077,"endHours":13.083431736380836,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:25","end":"05:17","startHours":4.42180408048325,"endHours":5.287966846073008,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:04","end":"06:09","startHours":5.071426154675569,"endHours":6.154129611662767,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:49","end":"15:41","startHours":14.81575726756035,"endHours":15.681920033150108,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:57","end":"19:21","startHours":18.946571095509146,"endHours":19.346571095509145,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:09","end":"19:41","startHours":19.146571095509145,"endHours":19.687922824002744,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:54","end":"20:39","startHours":18.896571095509145,"endHours":20.646571095509145,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:13","end":"01:05","startHours":24.21726897079108,"endHours":25.083431736380835,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:09","end":"07:47","startHours":6.154129611662767,"endHours":7.778184797143564,"quality":"auspicious"},{"name":"Roga","start":"07:47","end":"09:24","startHours":7.778184797143564,"endHours":9.402239982624362,"quality":"inauspicious"},{"name":"Udveg","start":"09:24","end":"11:02","startHours":9.402239982624362,"endHours":11.026295168105158,"quality":"inauspicious"},{"name":"Chala","start":"11:02","end":"12:39","startHours":11.026295168105158,"endHours":12.650350353585956,"quality":"neutral"},{"name":"Labha","start":"12:39","end":"14:16","startHours":12.650350353585956,"endHours":14.274405539066752,"quality":"auspicious"},{"name":"Amṛta","start":"14:16","end":"15:54","startHours":14.274405539066752,"endHours":15.89846072454755,"quality":"auspicious"},{"name":"Kāla","start":"15:54","end":"17:31","startHours":15.89846072454755,"endHours":17.522515910028346,"quality":"inauspicious"},{"name":"Śubha","start":"17:31","end":"19:09","startHours":17.522515910028346,"endHours":19.146571095509145,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:09","end":"20:31","startHours":19.146571095509145,"endHours":20.522515910028346,"quality":"auspicious"},{"name":"Kāla","start":"20:31","end":"21:54","startHours":20.522515910028346,"endHours":21.89846072454755,"quality":"inauspicious"},{"name":"Śubha","start":"21:54","end":"23:16","startHours":21.89846072454755,"endHours":23.274405539066755,"quality":"auspicious"},{"name":"Roga","start":"23:16","end":"00:39","startHours":23.274405539066755,"endHours":24.650350353585956,"quality":"inauspicious"},{"name":"Udveg","start":"00:39","end":"02:02","startHours":24.650350353585956,"endHours":26.026295168105158,"quality":"inauspicious"},{"name":"Chala","start":"02:02","end":"03:24","startHours":26.026295168105158,"endHours":27.402239982624362,"quality":"neutral"},{"name":"Labha","start":"03:24","end":"04:47","startHours":27.402239982624362,"endHours":28.778184797143567,"quality":"auspicious"},{"name":"Amṛta","start":"04:47","end":"06:09","startHours":28.778184797143567,"endHours":30.154129611662768,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:09","end":"07:09","startHours":6.154129611662767,"endHours":7.154129611662767,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:09","end":"08:09","startHours":7.154129611662767,"endHours":8.154129611662768,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:09","end":"09:09","startHours":8.154129611662768,"endHours":9.154129611662768,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:09","end":"10:09","startHours":9.154129611662768,"endHours":10.154129611662768,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:09","end":"11:09","startHours":10.154129611662768,"endHours":11.154129611662768,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:09","end":"12:09","startHours":11.154129611662768,"endHours":12.154129611662768,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:09","end":"13:09","startHours":12.154129611662768,"endHours":13.154129611662768,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:09","end":"14:09","startHours":13.154129611662768,"endHours":14.154129611662768,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:09","end":"15:09","startHours":14.154129611662768,"endHours":15.154129611662768,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:09","end":"16:09","startHours":15.154129611662768,"endHours":16.154129611662768,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:09","end":"17:09","startHours":16.154129611662768,"endHours":17.154129611662768,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:09","end":"18:09","startHours":17.154129611662768,"endHours":18.154129611662768,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:09","end":"19:09","startHours":18.154129611662768,"endHours":19.154129611662768,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:09","end":"20:09","startHours":19.154129611662768,"endHours":20.154129611662768,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:09","end":"21:09","startHours":20.154129611662768,"endHours":21.154129611662768,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:09","end":"22:09","startHours":21.154129611662768,"endHours":22.154129611662768,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:09","end":"23:09","startHours":22.154129611662768,"endHours":23.154129611662768,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:09","end":"00:09","startHours":23.154129611662768,"endHours":24.154129611662768,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:09","end":"01:09","startHours":24.154129611662768,"endHours":25.154129611662768,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:09","end":"02:09","startHours":25.154129611662768,"endHours":26.154129611662768,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:09","end":"03:09","startHours":26.154129611662768,"endHours":27.154129611662768,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:09","end":"04:09","startHours":27.154129611662768,"endHours":28.154129611662768,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:09","end":"05:09","startHours":28.154129611662768,"endHours":29.154129611662768,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:09","end":"06:09","startHours":29.154129611662768,"endHours":30.154129611662768,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":20.68639258018882,"eotMinutes":-5.99422121515736,"ayanamsa":25.4392}},"calendars":{"vikram_samvat":2170,"vikram_samvatsara":"Vyaya","saka_samvat":2035,"saka_samvatsara":"Śrīmukha","bengali_samvat":1520,"malayalam_era":1289,"nanakshahi_year":644,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Saptamī · Vikram 2170 Vyaya · Śaka 2035 Śrīmukha"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 20, 2113 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"July 20, 2113 CE for Kolhāpur, Maharashtra: Śukla Saptamī, sūryodaya 06:09, sūryāsta 19:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2113-07-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2113-07-20","sa":"https://sa.vidhyamitra.com/city/kolhapur/2113-07-20","hi":"https://hi.vidhyamitra.com/city/kolhapur/2113-07-20","x-default":"https://vidhyamitra.com/city/kolhapur/2113-07-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-21T17:35:50.866Z","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":"2026-05-21T17:35:50.866Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-21T17:35:50.866Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}