{"id":"vidhyamitra:city-day:vrindavan:2026-05-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2026-05-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2026-05-15","date_display":"May 15, 2026 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":2026,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461175.770833,"kali_year":5128,"ahargana":1872710.2708,"sun":{"sidereal_longitude":29.949,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":5.3516,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":335.4027,"elapsed_within_tithi_degrees":11.4027},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":5.3516,"elapsed_within_degrees":5.3516},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":35.3006},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2026,"month":5,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461175.770833,"ahargana":1872710.2708,"kali_year":5128,"ayanamsa_lahiri":24.2213,"grahas":{"sun":{"sidereal_longitude":30.025644,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":4.94914399999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false,"latitude":3.4736},"mars":{"sidereal_longitude":2.442643999999973,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":30.079143999999985,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":86.65614399999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"venus":{"sidereal_longitude":60.64234399999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":346.51104399999997,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":314.7977,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":134.7977,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2026,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461175.770833,"kali_year":5128,"ahargana":1872710.2708,"sun":{"sidereal_longitude":29.949,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":5.3516,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":335.4027,"elapsed_within_tithi_degrees":11.4027},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":5.3516,"elapsed_within_degrees":5.3516},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":35.3006},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.474,"elongation":24.597},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.474,"opposition_distance":155.403}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:31","sunsetLocal":"19:01","solarNoonLocal":"12:16","dayLengthHours":13.502010165679984,"dayLengthDisplay":"13 Hours 30 Mins 07 Secs","nightLengthDisplay":"10 Hours 29 Mins 53 Secs","moonriseLocal":"04:09","moonsetLocal":"17:02","rahuKala":{"name":"Rāhu Kāla","start":"10:34","end":"12:16","startHours":10.572358713691234,"endHours":12.260109984401232,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:38","end":"17:19","startHours":15.635612525821228,"endHours":17.323363796531225,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:12","end":"08:53","startHours":7.1968561722712385,"endHours":8.884607442981237,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:07","startHours":8.659573940219904,"endHours":9.10964094574257,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:04","end":"06:26","startHours":6.0716886584645735,"endHours":6.431742262882707,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.810042978878567,"endHours":12.710176989923898,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:37","startHours":3.708836879470576,"endHours":4.608970890515908,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:23","end":"05:31","startHours":4.383937387754575,"endHours":5.5091049015612406,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:31","end":"15:25","startHours":14.510445012014564,"endHours":15.410579023059897,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:49","end":"19:13","startHours":18.811115067241225,"endHours":19.211115067241224,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:01","end":"19:34","startHours":19.011115067241224,"endHours":19.573698824144557,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:46","end":"20:31","startHours":18.761115067241224,"endHours":20.511115067241224,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.810042978878567,"endHours":24.710176989923898,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:31","end":"07:12","startHours":5.5091049015612406,"endHours":7.1968561722712385,"quality":"neutral"},{"name":"Labha","start":"07:12","end":"08:53","startHours":7.1968561722712385,"endHours":8.884607442981237,"quality":"auspicious"},{"name":"Amṛta","start":"08:53","end":"10:34","startHours":8.884607442981237,"endHours":10.572358713691234,"quality":"auspicious"},{"name":"Kāla","start":"10:34","end":"12:16","startHours":10.572358713691234,"endHours":12.260109984401232,"quality":"inauspicious"},{"name":"Śubha","start":"12:16","end":"13:57","startHours":12.260109984401232,"endHours":13.947861255111231,"quality":"auspicious"},{"name":"Roga","start":"13:57","end":"15:38","startHours":13.947861255111231,"endHours":15.635612525821228,"quality":"inauspicious"},{"name":"Udveg","start":"15:38","end":"17:19","startHours":15.635612525821228,"endHours":17.323363796531225,"quality":"inauspicious"},{"name":"Chala","start":"17:19","end":"19:01","startHours":17.323363796531225,"endHours":19.011115067241224,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:01","end":"20:19","startHours":19.011115067241224,"endHours":20.323363796531225,"quality":"inauspicious"},{"name":"Udveg","start":"20:19","end":"21:38","startHours":20.323363796531225,"endHours":21.63561252582123,"quality":"inauspicious"},{"name":"Chala","start":"21:38","end":"22:57","startHours":21.63561252582123,"endHours":22.94786125511123,"quality":"neutral"},{"name":"Labha","start":"22:57","end":"00:16","startHours":22.94786125511123,"endHours":24.260109984401232,"quality":"auspicious"},{"name":"Amṛta","start":"00:16","end":"01:34","startHours":24.260109984401232,"endHours":25.572358713691234,"quality":"auspicious"},{"name":"Kāla","start":"01:34","end":"02:53","startHours":25.572358713691234,"endHours":26.884607442981235,"quality":"inauspicious"},{"name":"Śubha","start":"02:53","end":"04:12","startHours":26.884607442981235,"endHours":28.19685617227124,"quality":"auspicious"},{"name":"Roga","start":"04:12","end":"05:31","startHours":28.19685617227124,"endHours":29.50910490156124,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:31","end":"06:31","startHours":5.5091049015612406,"endHours":6.5091049015612406,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:31","end":"07:31","startHours":6.5091049015612406,"endHours":7.5091049015612406,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:31","end":"08:31","startHours":7.5091049015612406,"endHours":8.50910490156124,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:31","end":"09:31","startHours":8.50910490156124,"endHours":9.50910490156124,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:31","end":"10:31","startHours":9.50910490156124,"endHours":10.50910490156124,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:31","end":"11:31","startHours":10.50910490156124,"endHours":11.50910490156124,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:31","end":"12:31","startHours":11.50910490156124,"endHours":12.50910490156124,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:31","end":"13:31","startHours":12.50910490156124,"endHours":13.50910490156124,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:31","end":"14:31","startHours":13.50910490156124,"endHours":14.50910490156124,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:31","end":"15:31","startHours":14.50910490156124,"endHours":15.50910490156124,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:31","end":"16:31","startHours":15.50910490156124,"endHours":16.50910490156124,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:31","end":"17:31","startHours":16.50910490156124,"endHours":17.50910490156124,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:31","end":"18:31","startHours":17.50910490156124,"endHours":18.50910490156124,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:31","end":"19:31","startHours":18.50910490156124,"endHours":19.50910490156124,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:31","end":"20:31","startHours":19.50910490156124,"endHours":20.50910490156124,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:31","end":"21:31","startHours":20.50910490156124,"endHours":21.50910490156124,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:31","end":"22:31","startHours":21.50910490156124,"endHours":22.50910490156124,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:31","end":"23:31","startHours":22.50910490156124,"endHours":23.50910490156124,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:31","end":"00:31","startHours":23.50910490156124,"endHours":24.50910490156124,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:31","end":"01:31","startHours":24.50910490156124,"endHours":25.50910490156124,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:31","end":"02:31","startHours":25.50910490156124,"endHours":26.50910490156124,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:31","end":"03:31","startHours":26.50910490156124,"endHours":27.50910490156124,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:31","end":"04:31","startHours":27.50910490156124,"endHours":28.50910490156124,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:31","end":"05:31","startHours":28.50910490156124,"endHours":29.50910490156124,"planetary_lord":"Mars"}],"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":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"drikRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.830944790066045,"eotMinutes":3.7562009359260493,"ayanamsa":24.2213}},"calendars":{"vikram_samvat":2083,"vikram_samvatsara":"Siddhārthī","saka_samvat":1948,"saka_samvatsara":"Parābhava","bengali_samvat":1433,"malayalam_era":1202,"nanakshahi_year":557,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Trayodaśī · Vikram 2083 Siddhārthī · Śaka 1948 Parābhava"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi":"Vṛṣabha"},"precedence":5},{"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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":"vrindavan"},"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, 2026 CE · Vṛndāvana · Vidhyamitra","description":"May 15, 2026 CE for Vṛndāvana: Kṛṣṇa Trayodaśī, sūryodaya 05:31, sūryāsta 19:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2026-05-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2026-05-15","sa":"https://sa.vidhyamitra.com/city/vrindavan/2026-05-15","hi":"https://hi.vidhyamitra.com/city/vrindavan/2026-05-15","x-default":"https://vidhyamitra.com/city/vrindavan/2026-05-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:32:20.437Z","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":"2026-05-14T17:32:20.437Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:32:20.437Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}