{"id":"vidhyamitra:city-day:kolhapur:2087-04-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2087-04-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2087-04-29","date_display":"April 29, 2087 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":2087,"month":4,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483439.770833,"kali_year":5189,"ahargana":1894974.2708,"sun":{"sidereal_longitude":13.7874,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":324.3551,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":310.5678,"elapsed_within_tithi_degrees":10.5678},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":324.3551,"elapsed_within_degrees":4.3551},"yoga":{"number":26,"name":"Indra","sum_longitude":338.1425},"karana":{"half_tithi_index":51,"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":2087,"month":4,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483439.770833,"ahargana":1894974.2708,"kali_year":5189,"ayanamsa_lahiri":25.0729,"grahas":{"sun":{"sidereal_longitude":13.915796,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":322.114096,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":4.2489},"mars":{"sidereal_longitude":89.31529599999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":26.952995999999985,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":133.03319599999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":57.227495999999974,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":8.396395999999982,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":215.1439,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":35.1439,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2087,"month":4,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483439.770833,"kali_year":5189,"ahargana":1894974.2708,"sun":{"sidereal_longitude":13.7874,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":324.3551,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":310.5678,"elapsed_within_tithi_degrees":10.5678},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":324.3551,"elapsed_within_degrees":4.3551},"yoga":{"number":26,"name":"Indra","sum_longitude":338.1425},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.249,"elongation":49.432},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.249,"opposition_distance":130.568}},"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":"06:09","sunsetLocal":"18:52","solarNoonLocal":"12:30","dayLengthHours":12.713374145389839,"dayLengthDisplay":"12 Hours 42 Mins 48 Secs","nightLengthDisplay":"11 Hours 17 Mins 12 Secs","moonriseLocal":"03:07","moonsetLocal":"15:00","rahuKala":{"name":"Rāhu Kāla","start":"15:41","end":"17:16","startHours":15.684731141946276,"endHours":17.273902910120007,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:20","end":"10:55","startHours":9.328044069251355,"endHours":10.917215837425086,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:30","end":"14:06","startHours":12.506387605598816,"endHours":14.095559373772545,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:07","end":"09:32","startHours":9.116154500161525,"endHours":9.539933638341186,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:41","end":"07:01","startHours":6.679424455628473,"endHours":7.018447766172201,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:56","startHours":12.082608467419155,"endHours":12.930166743778477,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:27","end":"05:18","startHours":4.454583980185252,"endHours":5.302142256544574,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:05","end":"06:09","startHours":5.090252687454743,"endHours":6.149700532903896,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:28","startHours":14.625283296497122,"endHours":15.472841572856444,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:40","end":"19:04","startHours":18.663074678293736,"endHours":19.063074678293734,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:52","end":"19:24","startHours":18.863074678293735,"endHours":19.392798601018313,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:37","end":"20:22","startHours":18.613074678293735,"endHours":20.363074678293735,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:56","startHours":24.082608467419156,"endHours":24.93016674377848,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:09","end":"07:44","startHours":6.149700532903896,"endHours":7.738872301077626,"quality":"inauspicious"},{"name":"Udveg","start":"07:44","end":"09:20","startHours":7.738872301077626,"endHours":9.328044069251355,"quality":"inauspicious"},{"name":"Chala","start":"09:20","end":"10:55","startHours":9.328044069251355,"endHours":10.917215837425086,"quality":"neutral"},{"name":"Labha","start":"10:55","end":"12:30","startHours":10.917215837425086,"endHours":12.506387605598816,"quality":"auspicious"},{"name":"Amṛta","start":"12:30","end":"14:06","startHours":12.506387605598816,"endHours":14.095559373772545,"quality":"auspicious"},{"name":"Kāla","start":"14:06","end":"15:41","startHours":14.095559373772545,"endHours":15.684731141946276,"quality":"inauspicious"},{"name":"Śubha","start":"15:41","end":"17:16","startHours":15.684731141946276,"endHours":17.273902910120007,"quality":"auspicious"},{"name":"Roga","start":"17:16","end":"18:52","startHours":17.273902910120007,"endHours":18.863074678293735,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:52","end":"20:16","startHours":18.863074678293735,"endHours":20.273902910120004,"quality":"inauspicious"},{"name":"Śubha","start":"20:16","end":"21:41","startHours":20.273902910120004,"endHours":21.684731141946276,"quality":"auspicious"},{"name":"Roga","start":"21:41","end":"23:06","startHours":21.684731141946276,"endHours":23.095559373772545,"quality":"inauspicious"},{"name":"Udveg","start":"23:06","end":"00:30","startHours":23.095559373772545,"endHours":24.506387605598817,"quality":"inauspicious"},{"name":"Chala","start":"00:30","end":"01:55","startHours":24.506387605598817,"endHours":25.917215837425086,"quality":"neutral"},{"name":"Labha","start":"01:55","end":"03:20","startHours":25.917215837425086,"endHours":27.328044069251355,"quality":"auspicious"},{"name":"Amṛta","start":"03:20","end":"04:44","startHours":27.328044069251355,"endHours":28.738872301077627,"quality":"auspicious"},{"name":"Kāla","start":"04:44","end":"06:09","startHours":28.738872301077627,"endHours":30.149700532903896,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:09","end":"07:09","startHours":6.149700532903896,"endHours":7.149700532903896,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:09","end":"08:09","startHours":7.149700532903896,"endHours":8.149700532903896,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:09","end":"09:09","startHours":8.149700532903896,"endHours":9.149700532903896,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:09","end":"10:09","startHours":9.149700532903896,"endHours":10.149700532903896,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:09","end":"11:09","startHours":10.149700532903896,"endHours":11.149700532903896,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:09","end":"12:09","startHours":11.149700532903896,"endHours":12.149700532903896,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:09","end":"13:09","startHours":12.149700532903896,"endHours":13.149700532903896,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:09","end":"14:09","startHours":13.149700532903896,"endHours":14.149700532903896,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:09","end":"15:09","startHours":14.149700532903896,"endHours":15.149700532903896,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:09","end":"16:09","startHours":15.149700532903896,"endHours":16.149700532903896,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:09","end":"17:09","startHours":16.149700532903896,"endHours":17.149700532903896,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:09","end":"18:09","startHours":17.149700532903896,"endHours":18.149700532903896,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:09","end":"19:09","startHours":18.149700532903896,"endHours":19.149700532903896,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:09","end":"20:09","startHours":19.149700532903896,"endHours":20.149700532903896,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:09","end":"21:09","startHours":20.149700532903896,"endHours":21.149700532903896,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:09","end":"22:09","startHours":21.149700532903896,"endHours":22.149700532903896,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:09","end":"23:09","startHours":22.149700532903896,"endHours":23.149700532903896,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:09","end":"00:09","startHours":23.149700532903896,"endHours":24.149700532903896,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:09","end":"01:09","startHours":24.149700532903896,"endHours":25.149700532903896,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:09","end":"02:09","startHours":25.149700532903896,"endHours":26.149700532903896,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:09","end":"03:09","startHours":26.149700532903896,"endHours":27.149700532903896,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:09","end":"04:09","startHours":27.149700532903896,"endHours":28.149700532903896,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:09","end":"05:09","startHours":28.149700532903896,"endHours":29.149700532903896,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:09","end":"06:09","startHours":29.149700532903896,"endHours":30.149700532903896,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":14.491724121690813,"eotMinutes":2.643543664071059,"ayanamsa":25.0729}},"calendars":{"vikram_samvat":2144,"vikram_samvatsara":"Raudra","saka_samvat":2009,"saka_samvatsara":"Plavaṅga","bengali_samvat":1494,"malayalam_era":1263,"nanakshahi_year":618,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Ekādaśī · Vikram 2144 Raudra · Śaka 2009 Plavaṅga"},"festivals":[{"id":"varuthini-ekadashi","name":"Varūthinī Ekādaśī","name_sanskrit":"वरूथिनी एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Vāmana","significance":"Granted to King Mandhātā by Vāmana-deva; brings sound sleep + wealth.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Vaiśākha"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"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":[]},"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 29, 2087 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"April 29, 2087 CE for Kolhāpur, Maharashtra: Kṛṣṇa Ekādaśī, sūryodaya 06:09, sūryāsta 18:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2087-04-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2087-04-29","sa":"https://sa.vidhyamitra.com/city/kolhapur/2087-04-29","hi":"https://hi.vidhyamitra.com/city/kolhapur/2087-04-29","x-default":"https://vidhyamitra.com/city/kolhapur/2087-04-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T15:06:28.712Z","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":"2026-05-31T15:06:28.712Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T15:06:28.712Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}