{"id":"vidhyamitra:city-day:kolhapur:2159-05-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2159-05-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-05-15","date_display":"May 15, 2159 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":2159,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509752.770833,"kali_year":5261,"ahargana":1921287.2708,"sun":{"sidereal_longitude":27.6329,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":351.8379,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.2049,"elapsed_within_tithi_degrees":0.2049},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":351.8379,"elapsed_within_degrees":5.1712},"yoga":{"number":2,"name":"Prīti","sum_longitude":19.4708},"karana":{"half_tithi_index":54,"name":"Gara"},"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":2159,"month":5,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509752.770833,"ahargana":1921287.2708,"kali_year":5261,"ayanamsa_lahiri":26.0792,"grahas":{"sun":{"sidereal_longitude":28.009145999999987,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":351.594846,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":4.4995},"mars":{"sidereal_longitude":248.26124600000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":46.63854600000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":157.08344599999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":69.889746,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":175.44094599999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":260.9545,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":80.9545,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":2159,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509752.770833,"kali_year":5261,"ahargana":1921287.2708,"sun":{"sidereal_longitude":27.6329,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":351.8379,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.2049,"elapsed_within_tithi_degrees":0.2049},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":351.8379,"elapsed_within_degrees":5.1712},"yoga":{"number":2,"name":"Prīti","sum_longitude":19.4708},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.499,"elongation":35.795},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.499,"opposition_distance":144.205}},"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":"06:02","sunsetLocal":"18:56","solarNoonLocal":"12:29","dayLengthHours":12.904726485570649,"dayLengthDisplay":"12 Hours 54 Mins 17 Secs","nightLengthDisplay":"11 Hours 05 Mins 43 Secs","moonriseLocal":"03:53","moonsetLocal":"16:14","rahuKala":{"name":"Rāhu Kāla","start":"15:43","end":"17:20","startHours":15.714024939127228,"endHours":17.32711574982356,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:16","end":"10:52","startHours":9.261661696341903,"endHours":10.874752507038234,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:29","end":"14:06","startHours":12.487843317734566,"endHours":14.100934128430897,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:03","end":"09:29","startHours":9.046582921582392,"endHours":9.476740471101415,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:34","end":"06:55","startHours":6.573177011848018,"endHours":6.917303051463235,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:55","startHours":12.057685768215544,"endHours":12.918000867253587,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:19","end":"05:11","startHours":4.314849876873154,"endHours":5.175164975911198,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:58","end":"06:02","startHours":4.960086201151687,"endHours":6.035480074949241,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:30","startHours":14.638631065329674,"endHours":15.498946164367718,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:44","end":"19:08","startHours":18.74020656051989,"endHours":19.14020656051989,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:56","end":"19:29","startHours":18.94020656051989,"endHours":19.477903497418666,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:41","end":"20:26","startHours":18.69020656051989,"endHours":20.44020656051989,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:55","startHours":24.057685768215546,"endHours":24.918000867253586,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:02","end":"07:39","startHours":6.035480074949241,"endHours":7.648570885645572,"quality":"inauspicious"},{"name":"Udveg","start":"07:39","end":"09:16","startHours":7.648570885645572,"endHours":9.261661696341903,"quality":"inauspicious"},{"name":"Chala","start":"09:16","end":"10:52","startHours":9.261661696341903,"endHours":10.874752507038234,"quality":"neutral"},{"name":"Labha","start":"10:52","end":"12:29","startHours":10.874752507038234,"endHours":12.487843317734566,"quality":"auspicious"},{"name":"Amṛta","start":"12:29","end":"14:06","startHours":12.487843317734566,"endHours":14.100934128430897,"quality":"auspicious"},{"name":"Kāla","start":"14:06","end":"15:43","startHours":14.100934128430897,"endHours":15.714024939127228,"quality":"inauspicious"},{"name":"Śubha","start":"15:43","end":"17:20","startHours":15.714024939127228,"endHours":17.32711574982356,"quality":"auspicious"},{"name":"Roga","start":"17:20","end":"18:56","startHours":17.32711574982356,"endHours":18.94020656051989,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:56","end":"20:20","startHours":18.94020656051989,"endHours":20.32711574982356,"quality":"inauspicious"},{"name":"Śubha","start":"20:20","end":"21:43","startHours":20.32711574982356,"endHours":21.714024939127228,"quality":"auspicious"},{"name":"Roga","start":"21:43","end":"23:06","startHours":21.714024939127228,"endHours":23.100934128430897,"quality":"inauspicious"},{"name":"Udveg","start":"23:06","end":"00:29","startHours":23.100934128430897,"endHours":24.487843317734566,"quality":"inauspicious"},{"name":"Chala","start":"00:29","end":"01:52","startHours":24.487843317734566,"endHours":25.874752507038234,"quality":"neutral"},{"name":"Labha","start":"01:52","end":"03:16","startHours":25.874752507038234,"endHours":27.261661696341903,"quality":"auspicious"},{"name":"Amṛta","start":"03:16","end":"04:39","startHours":27.261661696341903,"endHours":28.648570885645572,"quality":"auspicious"},{"name":"Kāla","start":"04:39","end":"06:02","startHours":28.648570885645572,"endHours":30.03548007494924,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:02","end":"07:02","startHours":6.035480074949241,"endHours":7.035480074949241,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:02","end":"08:02","startHours":7.035480074949241,"endHours":8.035480074949241,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:02","end":"09:02","startHours":8.035480074949241,"endHours":9.035480074949241,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:02","end":"10:02","startHours":9.035480074949241,"endHours":10.035480074949241,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:02","end":"11:02","startHours":10.035480074949241,"endHours":11.035480074949241,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:02","end":"12:02","startHours":11.035480074949241,"endHours":12.035480074949241,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:02","end":"13:02","startHours":12.035480074949241,"endHours":13.035480074949241,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:02","end":"14:02","startHours":13.035480074949241,"endHours":14.035480074949241,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:02","end":"15:02","startHours":14.035480074949241,"endHours":15.035480074949241,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:02","end":"16:02","startHours":15.035480074949241,"endHours":16.03548007494924,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:02","end":"17:02","startHours":16.03548007494924,"endHours":17.03548007494924,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:02","end":"18:02","startHours":17.03548007494924,"endHours":18.03548007494924,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:02","end":"19:02","startHours":18.03548007494924,"endHours":19.03548007494924,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:02","end":"20:02","startHours":19.03548007494924,"endHours":20.03548007494924,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:02","end":"21:02","startHours":20.03548007494924,"endHours":21.03548007494924,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:02","end":"22:02","startHours":21.03548007494924,"endHours":22.03548007494924,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:02","end":"23:02","startHours":22.03548007494924,"endHours":23.03548007494924,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:02","end":"00:02","startHours":23.03548007494924,"endHours":24.03548007494924,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:02","end":"01:02","startHours":24.03548007494924,"endHours":25.03548007494924,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:02","end":"02:02","startHours":25.03548007494924,"endHours":26.03548007494924,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:02","end":"03:02","startHours":26.03548007494924,"endHours":27.03548007494924,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:02","end":"04:02","startHours":27.03548007494924,"endHours":28.03548007494924,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:02","end":"05:02","startHours":28.03548007494924,"endHours":29.03548007494924,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:02","end":"06:02","startHours":29.03548007494924,"endHours":30.03548007494924,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.791933229380597,"eotMinutes":3.7562009359260493,"ayanamsa":26.0792}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Trayodaśī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 May 15, 2159 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"May 15, 2159 CE for Kolhāpur, Maharashtra: Kṛṣṇa Trayodaśī, sūryodaya 06:02, sūryāsta 18:56.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2159-05-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2159-05-15","sa":"https://sa.vidhyamitra.com/city/kolhapur/2159-05-15","hi":"https://hi.vidhyamitra.com/city/kolhapur/2159-05-15","x-default":"https://vidhyamitra.com/city/kolhapur/2159-05-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-27T09:23:10.255Z","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":"2026-05-27T09:23:10.255Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-27T09:23:10.255Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}