{"id":"vidhyamitra:city-day:kolhapur:2113-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2113-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2113-07-31","date_display":"July 31, 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":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493028.770833,"kali_year":5215,"ahargana":1904563.2708,"sun":{"sidereal_longitude":101.6279,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":311.5026,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":209.8746,"elapsed_within_tithi_degrees":5.8746},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":311.5026,"elapsed_within_degrees":4.8359},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":53.1305},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493028.770833,"ahargana":1904563.2708,"kali_year":5215,"ayanamsa_lahiri":25.4396,"grahas":{"sun":{"sidereal_longitude":102.42172500000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":313.745625,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false,"latitude":-4.0585},"mars":{"sidereal_longitude":108.042825,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":96.32752500000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":201.442225,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":67.81102499999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":332.1557250000001,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":67.0725,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":247.0725,"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":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493028.770833,"kali_year":5215,"ahargana":1904563.2708,"sun":{"sidereal_longitude":101.6279,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":311.5026,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":209.8746,"elapsed_within_tithi_degrees":5.8746},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":311.5026,"elapsed_within_degrees":4.8359},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":53.1305},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.058,"elongation":150.125},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.058,"opposition_distance":29.875}},"eclipse_window_40days":[{"offset_days":-18,"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":"06:13","sunsetLocal":"19:06","solarNoonLocal":"12:39","dayLengthHours":12.882366746151668,"dayLengthDisplay":"12 Hours 52 Mins 57 Secs","nightLengthDisplay":"11 Hours 07 Mins 03 Secs","moonriseLocal":"20:52","moonsetLocal":"08:37","rahuKala":{"name":"Rāhu Kāla","start":"07:49","end":"09:26","startHours":7.820748712065637,"endHours":9.431044555334594,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:02","end":"12:39","startHours":11.041340398603554,"endHours":12.651636241872513,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:16","end":"15:52","startHours":14.26193208514147,"endHours":15.872227928410428,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:13","end":"09:39","startHours":9.216338442898735,"endHours":9.645750667770457,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:45","end":"07:05","startHours":6.747218149886331,"endHours":7.090747929783709,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:13","end":"13:05","startHours":12.22222401700079,"endHours":13.081048466744235,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:30","end":"05:21","startHours":4.492803969309789,"endHours":5.351628419053234,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:08","end":"06:13","startHours":5.136922306617373,"endHours":6.210452868796678,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:48","end":"15:39","startHours":14.798697366231124,"endHours":15.657521815974569,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:54","end":"19:18","startHours":18.892819614948348,"endHours":19.292819614948346,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:06","end":"19:38","startHours":19.092819614948347,"endHours":19.629584896038,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:51","end":"20:36","startHours":18.842819614948347,"endHours":20.592819614948347,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:13","end":"01:05","startHours":24.22222401700079,"endHours":25.081048466744235,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:13","end":"07:49","startHours":6.210452868796678,"endHours":7.820748712065637,"quality":"auspicious"},{"name":"Kāla","start":"07:49","end":"09:26","startHours":7.820748712065637,"endHours":9.431044555334594,"quality":"inauspicious"},{"name":"Śubha","start":"09:26","end":"11:02","startHours":9.431044555334594,"endHours":11.041340398603554,"quality":"auspicious"},{"name":"Roga","start":"11:02","end":"12:39","startHours":11.041340398603554,"endHours":12.651636241872513,"quality":"inauspicious"},{"name":"Udveg","start":"12:39","end":"14:16","startHours":12.651636241872513,"endHours":14.26193208514147,"quality":"inauspicious"},{"name":"Chala","start":"14:16","end":"15:52","startHours":14.26193208514147,"endHours":15.872227928410428,"quality":"neutral"},{"name":"Labha","start":"15:52","end":"17:29","startHours":15.872227928410428,"endHours":17.48252377167939,"quality":"auspicious"},{"name":"Amṛta","start":"17:29","end":"19:06","startHours":17.48252377167939,"endHours":19.092819614948347,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:06","end":"20:29","startHours":19.092819614948347,"endHours":20.48252377167939,"quality":"neutral"},{"name":"Labha","start":"20:29","end":"21:52","startHours":20.48252377167939,"endHours":21.87222792841043,"quality":"auspicious"},{"name":"Amṛta","start":"21:52","end":"23:16","startHours":21.87222792841043,"endHours":23.26193208514147,"quality":"auspicious"},{"name":"Kāla","start":"23:16","end":"00:39","startHours":23.26193208514147,"endHours":24.651636241872513,"quality":"inauspicious"},{"name":"Śubha","start":"00:39","end":"02:02","startHours":24.651636241872513,"endHours":26.041340398603555,"quality":"auspicious"},{"name":"Roga","start":"02:02","end":"03:26","startHours":26.041340398603555,"endHours":27.431044555334594,"quality":"inauspicious"},{"name":"Udveg","start":"03:26","end":"04:49","startHours":27.431044555334594,"endHours":28.820748712065637,"quality":"inauspicious"},{"name":"Chala","start":"04:49","end":"06:13","startHours":28.820748712065637,"endHours":30.21045286879668,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:13","end":"07:13","startHours":6.210452868796678,"endHours":7.210452868796678,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:13","end":"08:13","startHours":7.210452868796678,"endHours":8.21045286879668,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:13","end":"09:13","startHours":8.21045286879668,"endHours":9.21045286879668,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:13","end":"10:13","startHours":9.21045286879668,"endHours":10.21045286879668,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:13","end":"11:13","startHours":10.21045286879668,"endHours":11.21045286879668,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:13","end":"12:13","startHours":11.21045286879668,"endHours":12.21045286879668,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:13","end":"13:13","startHours":12.21045286879668,"endHours":13.21045286879668,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:13","end":"14:13","startHours":13.21045286879668,"endHours":14.21045286879668,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:13","end":"15:13","startHours":14.21045286879668,"endHours":15.21045286879668,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:13","end":"16:13","startHours":15.21045286879668,"endHours":16.21045286879668,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:13","end":"17:13","startHours":16.21045286879668,"endHours":17.21045286879668,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:13","end":"18:13","startHours":17.21045286879668,"endHours":18.21045286879668,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:13","end":"19:13","startHours":18.21045286879668,"endHours":19.21045286879668,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:13","end":"20:13","startHours":19.21045286879668,"endHours":20.21045286879668,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:13","end":"21:13","startHours":20.21045286879668,"endHours":21.21045286879668,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:13","end":"22:13","startHours":21.21045286879668,"endHours":22.21045286879668,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:13","end":"23:13","startHours":22.21045286879668,"endHours":23.21045286879668,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:13","end":"00:13","startHours":23.21045286879668,"endHours":24.21045286879668,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:13","end":"01:13","startHours":24.21045286879668,"endHours":25.21045286879668,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:13","end":"02:13","startHours":25.21045286879668,"endHours":26.21045286879668,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:13","end":"03:13","startHours":26.21045286879668,"endHours":27.21045286879668,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:13","end":"04:13","startHours":27.21045286879668,"endHours":28.21045286879668,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:13","end":"05:13","startHours":28.21045286879668,"endHours":29.21045286879668,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:13","end":"06:13","startHours":29.21045286879668,"endHours":30.21045286879668,"planetary_lord":"Venus"}],"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":"North-East","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.301010583296474,"eotMinutes":-6.071374512350812,"ayanamsa":25.4396}},"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 Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Tṛtīyā · 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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 31, 2113 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"July 31, 2113 CE for Kolhāpur, Maharashtra: Kṛṣṇa Tṛtīyā, sūryodaya 06:13, sūryāsta 19:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2113-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2113-07-31","sa":"https://sa.vidhyamitra.com/city/kolhapur/2113-07-31","hi":"https://hi.vidhyamitra.com/city/kolhapur/2113-07-31","x-default":"https://vidhyamitra.com/city/kolhapur/2113-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-22T00:21:53.843Z","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":"2026-05-22T00:21:53.843Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-22T00:21:53.843Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}