{"id":"vidhyamitra:city-day:kolhapur:2040-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2040-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-07-13","date_display":"July 13, 2040 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":2040,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466348.770833,"kali_year":5142,"ahargana":1877883.2708,"sun":{"sidereal_longitude":86.3516,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":129.9438,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":43.5921,"elapsed_within_tithi_degrees":7.5921},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":129.9438,"elapsed_within_degrees":9.9438},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":216.2954},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2040,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466348.770833,"ahargana":1877883.2708,"kali_year":5142,"ayanamsa_lahiri":24.4192,"grahas":{"sun":{"sidereal_longitude":86.86509699999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":126.89119700000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":4.4996},"mars":{"sidereal_longitude":135.011597,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":66.862097,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":151.137697,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":98.06359700000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":161.14389700000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":40.7073,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":220.7073,"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":2040,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466348.770833,"kali_year":5142,"ahargana":1877883.2708,"sun":{"sidereal_longitude":86.3516,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":129.9438,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":43.5921,"elapsed_within_tithi_degrees":7.5921},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":129.9438,"elapsed_within_degrees":9.9438},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":216.2954},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.5,"elongation":43.592},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.5,"opposition_distance":136.408}},"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":"06:07","sunsetLocal":"19:10","solarNoonLocal":"12:38","dayLengthHours":13.042896121698789,"dayLengthDisplay":"13 Hours 02 Mins 34 Secs","nightLengthDisplay":"10 Hours 57 Mins 26 Secs","moonriseLocal":"09:03","moonsetLocal":"21:34","rahuKala":{"name":"Rāhu Kāla","start":"11:01","end":"12:38","startHours":11.009441798890329,"endHours":12.639803814102677,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:54","end":"17:32","startHours":15.900527844527375,"endHours":17.530889859739723,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:45","end":"09:23","startHours":7.748717768465632,"endHours":9.37907978367798,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:10","end":"09:36","startHours":9.161698181649667,"endHours":9.596461385706293,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:40","end":"07:01","startHours":6.661809758324066,"endHours":7.009620321569367,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:12","end":"13:04","startHours":12.205040610046051,"endHours":13.074567018159303,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:23","end":"05:15","startHours":4.379302937026778,"endHours":5.248829345140031,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:02","end":"06:07","startHours":5.031447743111718,"endHours":6.118355753253283,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:49","end":"15:41","startHours":14.813619834385808,"endHours":15.68314624249906,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:58","end":"19:22","startHours":18.961251874952072,"endHours":19.36125187495207,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:10","end":"19:42","startHours":19.16125187495207,"endHours":19.704705880022853,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:55","end":"20:40","startHours":18.91125187495207,"endHours":20.66125187495207,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:12","end":"01:04","startHours":24.20504061004605,"endHours":25.074567018159303,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:07","end":"07:45","startHours":6.118355753253283,"endHours":7.748717768465632,"quality":"neutral"},{"name":"Labha","start":"07:45","end":"09:23","startHours":7.748717768465632,"endHours":9.37907978367798,"quality":"auspicious"},{"name":"Amṛta","start":"09:23","end":"11:01","startHours":9.37907978367798,"endHours":11.009441798890329,"quality":"auspicious"},{"name":"Kāla","start":"11:01","end":"12:38","startHours":11.009441798890329,"endHours":12.639803814102677,"quality":"inauspicious"},{"name":"Śubha","start":"12:38","end":"14:16","startHours":12.639803814102677,"endHours":14.270165829315026,"quality":"auspicious"},{"name":"Roga","start":"14:16","end":"15:54","startHours":14.270165829315026,"endHours":15.900527844527375,"quality":"inauspicious"},{"name":"Udveg","start":"15:54","end":"17:32","startHours":15.900527844527375,"endHours":17.530889859739723,"quality":"inauspicious"},{"name":"Chala","start":"17:32","end":"19:10","startHours":17.530889859739723,"endHours":19.16125187495207,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:10","end":"20:32","startHours":19.16125187495207,"endHours":20.530889859739723,"quality":"inauspicious"},{"name":"Udveg","start":"20:32","end":"21:54","startHours":20.530889859739723,"endHours":21.900527844527375,"quality":"inauspicious"},{"name":"Chala","start":"21:54","end":"23:16","startHours":21.900527844527375,"endHours":23.270165829315026,"quality":"neutral"},{"name":"Labha","start":"23:16","end":"00:38","startHours":23.270165829315026,"endHours":24.639803814102677,"quality":"auspicious"},{"name":"Amṛta","start":"00:38","end":"02:01","startHours":24.639803814102677,"endHours":26.00944179889033,"quality":"auspicious"},{"name":"Kāla","start":"02:01","end":"03:23","startHours":26.00944179889033,"endHours":27.37907978367798,"quality":"inauspicious"},{"name":"Śubha","start":"03:23","end":"04:45","startHours":27.37907978367798,"endHours":28.74871776846563,"quality":"auspicious"},{"name":"Roga","start":"04:45","end":"06:07","startHours":28.74871776846563,"endHours":30.118355753253283,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:07","end":"07:07","startHours":6.118355753253283,"endHours":7.118355753253283,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:07","end":"08:07","startHours":7.118355753253283,"endHours":8.118355753253283,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:07","end":"09:07","startHours":8.118355753253283,"endHours":9.118355753253283,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:07","end":"10:07","startHours":9.118355753253283,"endHours":10.118355753253283,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:07","end":"11:07","startHours":10.118355753253283,"endHours":11.118355753253283,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:07","end":"12:07","startHours":11.118355753253283,"endHours":12.118355753253283,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:07","end":"13:07","startHours":12.118355753253283,"endHours":13.118355753253283,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:07","end":"14:07","startHours":13.118355753253283,"endHours":14.118355753253283,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:07","end":"15:07","startHours":14.118355753253283,"endHours":15.118355753253283,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:07","end":"16:07","startHours":15.118355753253283,"endHours":16.118355753253283,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:07","end":"17:07","startHours":16.118355753253283,"endHours":17.118355753253283,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:07","end":"18:07","startHours":17.118355753253283,"endHours":18.118355753253283,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:07","end":"19:07","startHours":18.118355753253283,"endHours":19.118355753253283,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:07","end":"20:07","startHours":19.118355753253283,"endHours":20.118355753253283,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:07","end":"21:07","startHours":20.118355753253283,"endHours":21.118355753253283,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:07","end":"22:07","startHours":21.118355753253283,"endHours":22.118355753253283,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:07","end":"23:07","startHours":22.118355753253283,"endHours":23.118355753253283,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:07","end":"00:07","startHours":23.118355753253283,"endHours":24.118355753253283,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:07","end":"01:07","startHours":24.118355753253283,"endHours":25.118355753253283,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:07","end":"02:07","startHours":25.118355753253283,"endHours":26.118355753253283,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:07","end":"03:07","startHours":26.118355753253283,"endHours":27.118355753253283,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:07","end":"04:07","startHours":27.118355753253283,"endHours":28.118355753253283,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:07","end":"05:07","startHours":28.118355753253283,"endHours":29.118355753253283,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:07","end":"06:07","startHours":29.118355753253283,"endHours":30.118355753253283,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"South-East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"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":21.752837039875033,"eotMinutes":-5.361428846160681,"ayanamsa":24.4192}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Caturthī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"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},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 13, 2040 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"July 13, 2040 CE for Kolhāpur, Maharashtra: Śukla Caturthī, sūryodaya 06:07, sūryāsta 19:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2040-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2040-07-13","sa":"https://sa.vidhyamitra.com/city/kolhapur/2040-07-13","hi":"https://hi.vidhyamitra.com/city/kolhapur/2040-07-13","x-default":"https://vidhyamitra.com/city/kolhapur/2040-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T22:48:49.204Z","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":"2026-05-15T22:48:49.204Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T22:48:49.204Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}