{"id":"vidhyamitra:city-day:kolhapur:2039-03-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2039-03-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2039-03-29","date_display":"March 29, 2039 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":2039,"month":3,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465876.770833,"kali_year":5140,"ahargana":1877411.2708,"sun":{"sidereal_longitude":343.8988,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":34.8476,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":50.9488,"elapsed_within_tithi_degrees":2.9488},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":34.8476,"elapsed_within_degrees":8.181},"yoga":{"number":2,"name":"Prīti","sum_longitude":18.7465},"karana":{"half_tithi_index":8,"name":"Bava"},"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":2039,"month":3,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2465876.770833,"ahargana":1877411.2708,"kali_year":5140,"ayanamsa_lahiri":24.4011,"grahas":{"sun":{"sidereal_longitude":343.817631,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":31.674031000000014,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false,"latitude":-2.3071},"mars":{"sidereal_longitude":302.685931,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":317.7344310000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":116.69783100000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":20.684631000000024,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":149.881531,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":65.7161,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":245.7161,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2039,"month":3,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2465876.770833,"kali_year":5140,"ahargana":1877411.2708,"sun":{"sidereal_longitude":343.8988,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":34.8476,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":50.9488,"elapsed_within_tithi_degrees":2.9488},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":34.8476,"elapsed_within_degrees":8.181},"yoga":{"number":2,"name":"Prīti","sum_longitude":18.7465},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.307,"elongation":50.949},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.307,"opposition_distance":129.051}},"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":"06:31","sunsetLocal":"18:46","solarNoonLocal":"12:38","dayLengthHours":12.246752273678332,"dayLengthDisplay":"12 Hours 14 Mins 48 Secs","nightLengthDisplay":"11 Hours 45 Mins 12 Secs","moonriseLocal":"09:23","moonsetLocal":"22:16","rahuKala":{"name":"Rāhu Kāla","start":"15:42","end":"17:14","startHours":15.700468230869202,"endHours":17.23131226507899,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:35","end":"11:06","startHours":9.577092094030036,"endHours":11.107936128239826,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:38","end":"14:10","startHours":12.638780162449617,"endHours":14.16962419665941,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:22","end":"09:47","startHours":9.372979556135396,"endHours":9.781204631924673,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:02","end":"07:21","startHours":7.025685370347049,"endHours":7.352265430978472,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:14","end":"13:03","startHours":12.23055508666034,"endHours":13.047005238238894,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:53","end":"05:42","startHours":4.8825037224533405,"endHours":5.698953874031896,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:30","end":"06:31","startHours":5.494841336137258,"endHours":6.515404025610452,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:41","end":"15:30","startHours":14.679905541396007,"endHours":15.496355692974563,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:34","end":"18:58","startHours":18.562156299288784,"endHours":18.962156299288782,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:46","end":"19:16","startHours":18.762156299288783,"endHours":19.27243764402538,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:31","end":"20:16","startHours":18.512156299288783,"endHours":20.262156299288783,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:14","end":"01:03","startHours":24.23055508666034,"endHours":25.047005238238896,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:31","end":"08:03","startHours":6.515404025610452,"endHours":8.046248059820243,"quality":"inauspicious"},{"name":"Udveg","start":"08:03","end":"09:35","startHours":8.046248059820243,"endHours":9.577092094030036,"quality":"inauspicious"},{"name":"Chala","start":"09:35","end":"11:06","startHours":9.577092094030036,"endHours":11.107936128239826,"quality":"neutral"},{"name":"Labha","start":"11:06","end":"12:38","startHours":11.107936128239826,"endHours":12.638780162449617,"quality":"auspicious"},{"name":"Amṛta","start":"12:38","end":"14:10","startHours":12.638780162449617,"endHours":14.16962419665941,"quality":"auspicious"},{"name":"Kāla","start":"14:10","end":"15:42","startHours":14.16962419665941,"endHours":15.700468230869202,"quality":"inauspicious"},{"name":"Śubha","start":"15:42","end":"17:14","startHours":15.700468230869202,"endHours":17.23131226507899,"quality":"auspicious"},{"name":"Roga","start":"17:14","end":"18:46","startHours":17.23131226507899,"endHours":18.762156299288783,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:46","end":"20:14","startHours":18.762156299288783,"endHours":20.23131226507899,"quality":"inauspicious"},{"name":"Śubha","start":"20:14","end":"21:42","startHours":20.23131226507899,"endHours":21.7004682308692,"quality":"auspicious"},{"name":"Roga","start":"21:42","end":"23:10","startHours":21.7004682308692,"endHours":23.16962419665941,"quality":"inauspicious"},{"name":"Udveg","start":"23:10","end":"00:38","startHours":23.16962419665941,"endHours":24.638780162449617,"quality":"inauspicious"},{"name":"Chala","start":"00:38","end":"02:06","startHours":24.638780162449617,"endHours":26.107936128239825,"quality":"neutral"},{"name":"Labha","start":"02:06","end":"03:35","startHours":26.107936128239825,"endHours":27.577092094030036,"quality":"auspicious"},{"name":"Amṛta","start":"03:35","end":"05:03","startHours":27.577092094030036,"endHours":29.046248059820243,"quality":"auspicious"},{"name":"Kāla","start":"05:03","end":"06:31","startHours":29.046248059820243,"endHours":30.51540402561045,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.515404025610452,"endHours":7.515404025610452,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.515404025610452,"endHours":8.51540402561045,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.51540402561045,"endHours":9.51540402561045,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.51540402561045,"endHours":10.51540402561045,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.51540402561045,"endHours":11.51540402561045,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.51540402561045,"endHours":12.51540402561045,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.51540402561045,"endHours":13.51540402561045,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.51540402561045,"endHours":14.51540402561045,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.51540402561045,"endHours":15.51540402561045,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.51540402561045,"endHours":16.51540402561045,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.51540402561045,"endHours":17.51540402561045,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.51540402561045,"endHours":18.51540402561045,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.51540402561045,"endHours":19.51540402561045,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.51540402561045,"endHours":20.51540402561045,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.51540402561045,"endHours":21.51540402561045,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.51540402561045,"endHours":22.51540402561045,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.51540402561045,"endHours":23.51540402561045,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.51540402561045,"endHours":24.51540402561045,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.51540402561045,"endHours":25.51540402561045,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.51540402561045,"endHours":26.51540402561045,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.51540402561045,"endHours":27.51540402561045,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.51540402561045,"endHours":28.51540402561045,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.51540402561045,"endHours":29.51540402561045,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.51540402561045,"endHours":30.51540402561045,"planetary_lord":"Saturn"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Chatra","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":3.25941528341867,"eotMinutes":-5.300009746977087,"ayanamsa":24.4011}},"calendars":{"vikram_samvat":2096,"vikram_samvatsara":"Aṅgirasa","saka_samvat":1961,"saka_samvatsara":"Siddhārthī","bengali_samvat":1446,"malayalam_era":1215,"nanakshahi_year":570,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Pañcamī · Vikram 2096 Aṅgirasa · Śaka 1961 Siddhārthī"},"festivals":[{"id":"ramanuja-jayanti","name":"Rāmānujācārya Jayantī","name_sanskrit":"रामानुजाचार्य जयन्ती","tradition":"Vaishnava","associated_deity":"Rāmānujācārya (Viśiṣṭādvaita)","significance":"Birth of Rāmānujācārya; Viśiṣṭādvaita-pratiṣṭhāpaka. Caitra Śukla 5.","vrata":false,"detection":{"tithi_number":5,"tithi_paksha":"Śukla","lunar_month":"Caitra"},"precedence":3},{"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":"-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 March 29, 2039 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"March 29, 2039 CE for Kolhāpur, Maharashtra: Śukla Pañcamī, sūryodaya 06:31, sūryāsta 18:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2039-03-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2039-03-29","sa":"https://sa.vidhyamitra.com/city/kolhapur/2039-03-29","hi":"https://hi.vidhyamitra.com/city/kolhapur/2039-03-29","x-default":"https://vidhyamitra.com/city/kolhapur/2039-03-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T16:26:53.185Z","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":"2026-05-15T16:26:53.185Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T16:26:53.185Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}