{"id":"vidhyamitra:city-day:kolhapur:2021-04-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2021-04-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2021-04-13","date_display":"April 13, 2021 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":2021,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459317.770833,"kali_year":5122,"ahargana":1870852.2708,"sun":{"sidereal_longitude":359.2802,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":11.541,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.2608,"elapsed_within_tithi_degrees":0.2608},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":11.541,"elapsed_within_degrees":11.541},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":10.8213},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2021,"month":4,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459317.770833,"ahargana":1870852.2708,"kali_year":5122,"ayanamsa_lahiri":24.1503,"grahas":{"sun":{"sidereal_longitude":359.192933,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":9.440932999999973,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false,"latitude":-2.992},"mars":{"sidereal_longitude":59.27503300000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":352.235833,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":301.312233,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":3.4370329999999853,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":288.08423300000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":53.2435,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":233.2435,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"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":2021,"month":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459317.770833,"kali_year":5122,"ahargana":1870852.2708,"sun":{"sidereal_longitude":359.2802,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":11.541,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.2608,"elapsed_within_tithi_degrees":0.2608},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":11.541,"elapsed_within_degrees":11.541},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":10.8213},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.992,"elongation":12.261},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.992,"opposition_distance":167.739}},"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":"06:19","sunsetLocal":"18:48","solarNoonLocal":"12:34","dayLengthHours":12.483636395017442,"dayLengthDisplay":"12 Hours 29 Mins 01 Secs","nightLengthDisplay":"11 Hours 30 Mins 59 Secs","moonriseLocal":"06:57","moonsetLocal":"19:33","rahuKala":{"name":"Rāhu Kāla","start":"15:41","end":"17:15","startHours":15.684185945916099,"endHours":17.24464049529328,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:27","end":"11:00","startHours":9.442367748407378,"endHours":11.002822297784558,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:34","end":"14:07","startHours":12.563276847161738,"endHours":14.123731396538918,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:14","end":"09:39","startHours":9.234307141823756,"endHours":9.650428354991003,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:50","end":"07:10","startHours":6.841610166112078,"endHours":7.174507136645876,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:59","startHours":12.14715563399449,"endHours":12.979398060328986,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:39","end":"05:29","startHours":4.656973796984026,"endHours":5.489216223318522,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:17","end":"06:19","startHours":5.281155616734898,"endHours":6.321458649653018,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:29","startHours":14.643882912997977,"endHours":15.476125339332473,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:36","end":"19:00","startHours":18.60509504467046,"endHours":19.00509504467046,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:48","end":"19:20","startHours":18.80509504467046,"endHours":19.325246561129518,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:33","end":"20:18","startHours":18.55509504467046,"endHours":20.30509504467046,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:59","startHours":24.14715563399449,"endHours":24.979398060328986,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:19","end":"07:53","startHours":6.321458649653018,"endHours":7.8819131990301985,"quality":"inauspicious"},{"name":"Udveg","start":"07:53","end":"09:27","startHours":7.8819131990301985,"endHours":9.442367748407378,"quality":"inauspicious"},{"name":"Chala","start":"09:27","end":"11:00","startHours":9.442367748407378,"endHours":11.002822297784558,"quality":"neutral"},{"name":"Labha","start":"11:00","end":"12:34","startHours":11.002822297784558,"endHours":12.563276847161738,"quality":"auspicious"},{"name":"Amṛta","start":"12:34","end":"14:07","startHours":12.563276847161738,"endHours":14.123731396538918,"quality":"auspicious"},{"name":"Kāla","start":"14:07","end":"15:41","startHours":14.123731396538918,"endHours":15.684185945916099,"quality":"inauspicious"},{"name":"Śubha","start":"15:41","end":"17:15","startHours":15.684185945916099,"endHours":17.24464049529328,"quality":"auspicious"},{"name":"Roga","start":"17:15","end":"18:48","startHours":17.24464049529328,"endHours":18.80509504467046,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:48","end":"20:15","startHours":18.80509504467046,"endHours":20.24464049529328,"quality":"inauspicious"},{"name":"Śubha","start":"20:15","end":"21:41","startHours":20.24464049529328,"endHours":21.6841859459161,"quality":"auspicious"},{"name":"Roga","start":"21:41","end":"23:07","startHours":21.6841859459161,"endHours":23.12373139653892,"quality":"inauspicious"},{"name":"Udveg","start":"23:07","end":"00:34","startHours":23.12373139653892,"endHours":24.563276847161738,"quality":"inauspicious"},{"name":"Chala","start":"00:34","end":"02:00","startHours":24.563276847161738,"endHours":26.002822297784558,"quality":"neutral"},{"name":"Labha","start":"02:00","end":"03:27","startHours":26.002822297784558,"endHours":27.442367748407378,"quality":"auspicious"},{"name":"Amṛta","start":"03:27","end":"04:53","startHours":27.442367748407378,"endHours":28.881913199030198,"quality":"auspicious"},{"name":"Kāla","start":"04:53","end":"06:19","startHours":28.881913199030198,"endHours":30.321458649653017,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:19","end":"07:19","startHours":6.321458649653018,"endHours":7.321458649653018,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:19","end":"08:19","startHours":7.321458649653018,"endHours":8.321458649653017,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:19","end":"09:19","startHours":8.321458649653017,"endHours":9.321458649653017,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:19","end":"10:19","startHours":9.321458649653017,"endHours":10.321458649653017,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:19","end":"11:19","startHours":10.321458649653017,"endHours":11.321458649653017,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:19","end":"12:19","startHours":11.321458649653017,"endHours":12.321458649653017,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:19","end":"13:19","startHours":12.321458649653017,"endHours":13.321458649653017,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:19","end":"14:19","startHours":13.321458649653017,"endHours":14.321458649653017,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:19","end":"15:19","startHours":14.321458649653017,"endHours":15.321458649653017,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:19","end":"16:19","startHours":15.321458649653017,"endHours":16.321458649653017,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:19","end":"17:19","startHours":16.321458649653017,"endHours":17.321458649653017,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:19","end":"18:19","startHours":17.321458649653017,"endHours":18.321458649653017,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:19","end":"19:19","startHours":18.321458649653017,"endHours":19.321458649653017,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:19","end":"20:19","startHours":19.321458649653017,"endHours":20.321458649653017,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:19","end":"21:19","startHours":20.321458649653017,"endHours":21.321458649653017,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:19","end":"22:19","startHours":21.321458649653017,"endHours":22.321458649653017,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:19","end":"23:19","startHours":22.321458649653017,"endHours":23.321458649653017,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:19","end":"00:19","startHours":23.321458649653017,"endHours":24.321458649653017,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:19","end":"01:19","startHours":24.321458649653017,"endHours":25.321458649653017,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:19","end":"02:19","startHours":25.321458649653017,"endHours":26.321458649653017,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:19","end":"03:19","startHours":26.321458649653017,"endHours":27.321458649653017,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:19","end":"04:19","startHours":27.321458649653017,"endHours":28.321458649653017,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:19","end":"05:19","startHours":28.321458649653017,"endHours":29.321458649653017,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:19","end":"06:19","startHours":29.321458649653017,"endHours":30.321458649653017,"planetary_lord":"Saturn"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"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":9.067437879708079,"eotMinutes":-0.7698108297043191,"ayanamsa":24.1503}},"calendars":{"vikram_samvat":2078,"vikram_samvatsara":"Ānanda","saka_samvat":1943,"saka_samvatsara":"Plava","bengali_samvat":1428,"malayalam_era":1197,"nanakshahi_year":552,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Dvitīyā · Vikram 2078 Ānanda · Śaka 1943 Plava"},"festivals":[{"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","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, 2021 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"April 13, 2021 CE for Kolhāpur, Maharashtra: Śukla Dvitīyā, sūryodaya 06:19, sūryāsta 18:48.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2021-04-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2021-04-13","sa":"https://sa.vidhyamitra.com/city/kolhapur/2021-04-13","hi":"https://hi.vidhyamitra.com/city/kolhapur/2021-04-13","x-default":"https://vidhyamitra.com/city/kolhapur/2021-04-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T22:25:25.078Z","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":"2026-05-14T22:25:25.078Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T22:25:25.078Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}