{"id":"vidhyamitra:city-day:kolhapur:2013-04-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2013-04-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-04-13","date_display":"April 13, 2013 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":2013,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456395.770833,"kali_year":5114,"ahargana":1867930.2708,"sun":{"sidereal_longitude":359.3487,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":32.0904,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":32.7417,"elapsed_within_tithi_degrees":8.7417},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":32.0904,"elapsed_within_degrees":5.4237},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":31.4391},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2013,"month":4,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456395.770833,"ahargana":1867930.2708,"kali_year":5114,"ayanamsa_lahiri":24.0385,"grahas":{"sun":{"sidereal_longitude":359.243075,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":29.232475000000022,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":-0.3156},"mars":{"sidereal_longitude":0.1770750000000021,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":334.183275,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":49.474175,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":3.000575000000026,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":195.06967499999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":208.0651,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":28.0651,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"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":2013,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456395.770833,"kali_year":5114,"ahargana":1867930.2708,"sun":{"sidereal_longitude":359.3487,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":32.0904,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":32.7417,"elapsed_within_tithi_degrees":8.7417},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":32.0904,"elapsed_within_degrees":5.4237},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":31.4391},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.316,"elongation":32.742},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.316,"opposition_distance":147.258}},"eclipse_window_40days":[{"offset_days":13,"type":"lunar","occurs":true,"moon_latitude":-1.09,"opposition_distance":1.352}]},"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":"06:19","sunsetLocal":"18:48","solarNoonLocal":"12:34","dayLengthHours":12.482691316779302,"dayLengthDisplay":"12 Hours 28 Mins 58 Secs","nightLengthDisplay":"11 Hours 31 Mins 02 Secs","moonriseLocal":"08:08","moonsetLocal":"21:00","rahuKala":{"name":"Rāhu Kāla","start":"09:27","end":"11:00","startHours":9.442604017966913,"endHours":11.002940432564326,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:07","end":"15:41","startHours":14.12361326175915,"endHours":15.683949676356564,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:19","end":"07:53","startHours":6.321931188772087,"endHours":7.8822676033695,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:14","end":"09:39","startHours":9.234559162687258,"endHours":9.650648873246567,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:51","end":"07:10","startHours":6.842043326971225,"endHours":7.1749150954186725,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:59","startHours":12.147187136602428,"endHours":12.979366557721049,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:39","end":"05:29","startHours":4.657572346534847,"endHours":5.489751767653467,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:17","end":"06:19","startHours":5.281706912373812,"endHours":6.321931188772087,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:29","startHours":14.643725399958289,"endHours":15.47590482107691,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:36","end":"19:00","startHours":18.60462250555139,"endHours":19.00462250555139,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:48","end":"19:19","startHours":18.80462250555139,"endHours":19.324734643750528,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:33","end":"20:18","startHours":18.55462250555139,"endHours":20.30462250555139,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:59","startHours":24.14718713660243,"endHours":24.979366557721047,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:19","end":"07:53","startHours":6.321931188772087,"endHours":7.8822676033695,"quality":"inauspicious"},{"name":"Śubha","start":"07:53","end":"09:27","startHours":7.8822676033695,"endHours":9.442604017966913,"quality":"auspicious"},{"name":"Roga","start":"09:27","end":"11:00","startHours":9.442604017966913,"endHours":11.002940432564326,"quality":"inauspicious"},{"name":"Udveg","start":"11:00","end":"12:34","startHours":11.002940432564326,"endHours":12.563276847161738,"quality":"inauspicious"},{"name":"Chala","start":"12:34","end":"14:07","startHours":12.563276847161738,"endHours":14.12361326175915,"quality":"neutral"},{"name":"Labha","start":"14:07","end":"15:41","startHours":14.12361326175915,"endHours":15.683949676356564,"quality":"auspicious"},{"name":"Amṛta","start":"15:41","end":"17:15","startHours":15.683949676356564,"endHours":17.244286090953977,"quality":"auspicious"},{"name":"Kāla","start":"17:15","end":"18:48","startHours":17.244286090953977,"endHours":18.80462250555139,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:48","end":"20:15","startHours":18.80462250555139,"endHours":20.244286090953977,"quality":"auspicious"},{"name":"Amṛta","start":"20:15","end":"21:41","startHours":20.244286090953977,"endHours":21.683949676356562,"quality":"auspicious"},{"name":"Kāla","start":"21:41","end":"23:07","startHours":21.683949676356562,"endHours":23.12361326175915,"quality":"inauspicious"},{"name":"Śubha","start":"23:07","end":"00:34","startHours":23.12361326175915,"endHours":24.563276847161738,"quality":"auspicious"},{"name":"Roga","start":"00:34","end":"02:00","startHours":24.563276847161738,"endHours":26.002940432564326,"quality":"inauspicious"},{"name":"Udveg","start":"02:00","end":"03:27","startHours":26.002940432564326,"endHours":27.442604017966914,"quality":"inauspicious"},{"name":"Chala","start":"03:27","end":"04:53","startHours":27.442604017966914,"endHours":28.8822676033695,"quality":"neutral"},{"name":"Labha","start":"04:53","end":"06:19","startHours":28.8822676033695,"endHours":30.321931188772087,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:19","end":"07:19","startHours":6.321931188772087,"endHours":7.321931188772087,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:19","end":"08:19","startHours":7.321931188772087,"endHours":8.321931188772087,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:19","end":"09:19","startHours":8.321931188772087,"endHours":9.321931188772087,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:19","end":"10:19","startHours":9.321931188772087,"endHours":10.321931188772087,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:19","end":"11:19","startHours":10.321931188772087,"endHours":11.321931188772087,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:19","end":"12:19","startHours":11.321931188772087,"endHours":12.321931188772087,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:19","end":"13:19","startHours":12.321931188772087,"endHours":13.321931188772087,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:19","end":"14:19","startHours":13.321931188772087,"endHours":14.321931188772087,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:19","end":"15:19","startHours":14.321931188772087,"endHours":15.321931188772087,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:19","end":"16:19","startHours":15.321931188772087,"endHours":16.321931188772087,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:19","end":"17:19","startHours":16.321931188772087,"endHours":17.321931188772087,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:19","end":"18:19","startHours":17.321931188772087,"endHours":18.321931188772087,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:19","end":"19:19","startHours":18.321931188772087,"endHours":19.321931188772087,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:19","end":"20:19","startHours":19.321931188772087,"endHours":20.321931188772087,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:19","end":"21:19","startHours":20.321931188772087,"endHours":21.321931188772087,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:19","end":"22:19","startHours":21.321931188772087,"endHours":22.321931188772087,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:19","end":"23:19","startHours":22.321931188772087,"endHours":23.321931188772087,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:19","end":"00:19","startHours":23.321931188772087,"endHours":24.321931188772087,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:19","end":"01:19","startHours":24.321931188772087,"endHours":25.321931188772087,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:19","end":"02:19","startHours":25.321931188772087,"endHours":26.321931188772087,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:19","end":"03:19","startHours":26.321931188772087,"endHours":27.321931188772087,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:19","end":"04:19","startHours":27.321931188772087,"endHours":28.321931188772087,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:19","end":"05:19","startHours":28.321931188772087,"endHours":29.321931188772087,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:19","end":"06:19","startHours":29.321931188772087,"endHours":30.321931188772087,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","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":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Śiśira (Winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":9.044632289596626,"eotMinutes":-0.7698108297043191,"ayanamsa":24.0385}},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Tṛtīyā · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"festivals":[{"id":"matsya-jayanti","name":"Matsya Jayantī","name_sanskrit":"मत्स्य जयन्ती","tradition":"Vaishnava","associated_deity":"Matsya (1st daśāvatāra of Krishna)","deity_avatara_index":10,"significance":"Matsya saved Vaivasvata Manu and the Vedas during the cosmic deluge.","vrata":false,"detection":{"tithi_number":3,"tithi_paksha":"Śukla","lunar_month":"Caitra"},"precedence":4,"sources":["Bhāgavata 8.24","Matsya Purāṇa 1-2"]},{"id":"mina-sankranti","name":"Mīna Saṅkrānti","name_sanskrit":"मीन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Pisces; Mīna-māsa begins.","vrata":false,"detection":{"sun_rashi":"Mīna"},"precedence":5}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 April 13, 2013 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"April 13, 2013 CE for Kolhāpur, Maharashtra: Śukla Tṛtīyā, sūryodaya 06:19, sūryāsta 18:48.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2013-04-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2013-04-13","sa":"https://sa.vidhyamitra.com/city/kolhapur/2013-04-13","hi":"https://hi.vidhyamitra.com/city/kolhapur/2013-04-13","x-default":"https://vidhyamitra.com/city/kolhapur/2013-04-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T17:36:08.328Z","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":"2026-05-15T17:36:08.328Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T17:36:08.328Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}