{"id":"vidhyamitra:city-day:mathura:2159-05-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2159-05-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-05-14","date_display":"May 14, 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":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509751.770833,"kali_year":5261,"ahargana":1921286.2708,"sun":{"sidereal_longitude":26.6729,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":338.6547,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":311.9818,"elapsed_within_tithi_degrees":11.9818},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":338.6547,"elapsed_within_degrees":5.3214},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":5.3277},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509751.770833,"ahargana":1921286.2708,"kali_year":5261,"ayanamsa_lahiri":26.0792,"grahas":{"sun":{"sidereal_longitude":27.043183999999997,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":337.661384,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":4.3956},"mars":{"sidereal_longitude":248.19118400000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":45.22448400000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":157.13588400000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":69.10218400000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":175.50138400000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":261.0075,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":81.0075,"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":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509751.770833,"kali_year":5261,"ahargana":1921286.2708,"sun":{"sidereal_longitude":26.6729,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":338.6547,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":311.9818,"elapsed_within_tithi_degrees":11.9818},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":338.6547,"elapsed_within_degrees":5.3214},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":5.3277},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.396,"elongation":48.018},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.396,"opposition_distance":131.982}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:31","sunsetLocal":"19:00","solarNoonLocal":"12:16","dayLengthHours":13.47537906880508,"dayLengthDisplay":"13 Hours 28 Mins 31 Secs","nightLengthDisplay":"10 Hours 31 Mins 29 Secs","moonriseLocal":"02:52","moonsetLocal":"15:04","rahuKala":{"name":"Rāhu Kāla","start":"07:12","end":"08:53","startHours":7.205825802002115,"endHours":8.89024818560275,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:34","end":"12:16","startHours":10.574670569203384,"endHours":12.25909295280402,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:57","end":"15:38","startHours":13.943515336404655,"endHours":15.627937720005288,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:07","startHours":8.665658534455998,"endHours":9.114837836749501,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:05","end":"06:27","startHours":6.082877546268358,"endHours":6.442220988103161,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:42","startHours":11.809913650510516,"endHours":12.708272255097523,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:37","startHours":3.7246862092274693,"endHours":4.623044813814475,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:31","startHours":4.398455162667723,"endHours":5.52140341840148,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:24","startHours":14.504989464271532,"endHours":15.403348068858536,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:48","end":"19:12","startHours":18.79678248720656,"endHours":19.19678248720656,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:00","end":"19:33","startHours":18.99678248720656,"endHours":19.558256615073436,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:45","end":"20:30","startHours":18.74678248720656,"endHours":20.49678248720656,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:42","startHours":23.809913650510516,"endHours":24.70827225509752,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:31","end":"07:12","startHours":5.52140341840148,"endHours":7.205825802002115,"quality":"auspicious"},{"name":"Kāla","start":"07:12","end":"08:53","startHours":7.205825802002115,"endHours":8.89024818560275,"quality":"inauspicious"},{"name":"Śubha","start":"08:53","end":"10:34","startHours":8.89024818560275,"endHours":10.574670569203384,"quality":"auspicious"},{"name":"Roga","start":"10:34","end":"12:16","startHours":10.574670569203384,"endHours":12.25909295280402,"quality":"inauspicious"},{"name":"Udveg","start":"12:16","end":"13:57","startHours":12.25909295280402,"endHours":13.943515336404655,"quality":"inauspicious"},{"name":"Chala","start":"13:57","end":"15:38","startHours":13.943515336404655,"endHours":15.627937720005288,"quality":"neutral"},{"name":"Labha","start":"15:38","end":"17:19","startHours":15.627937720005288,"endHours":17.312360103605926,"quality":"auspicious"},{"name":"Amṛta","start":"17:19","end":"19:00","startHours":17.312360103605926,"endHours":18.99678248720656,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:00","end":"20:19","startHours":18.99678248720656,"endHours":20.312360103605926,"quality":"neutral"},{"name":"Labha","start":"20:19","end":"21:38","startHours":20.312360103605926,"endHours":21.62793772000529,"quality":"auspicious"},{"name":"Amṛta","start":"21:38","end":"22:57","startHours":21.62793772000529,"endHours":22.943515336404655,"quality":"auspicious"},{"name":"Kāla","start":"22:57","end":"00:16","startHours":22.943515336404655,"endHours":24.259092952804018,"quality":"inauspicious"},{"name":"Śubha","start":"00:16","end":"01:34","startHours":24.259092952804018,"endHours":25.574670569203384,"quality":"auspicious"},{"name":"Roga","start":"01:34","end":"02:53","startHours":25.574670569203384,"endHours":26.89024818560275,"quality":"inauspicious"},{"name":"Udveg","start":"02:53","end":"04:12","startHours":26.89024818560275,"endHours":28.205825802002117,"quality":"inauspicious"},{"name":"Chala","start":"04:12","end":"05:31","startHours":28.205825802002117,"endHours":29.52140341840148,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:31","end":"06:31","startHours":5.52140341840148,"endHours":6.52140341840148,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:31","end":"07:31","startHours":6.52140341840148,"endHours":7.52140341840148,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:31","end":"08:31","startHours":7.52140341840148,"endHours":8.52140341840148,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:31","end":"09:31","startHours":8.52140341840148,"endHours":9.52140341840148,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:31","end":"10:31","startHours":9.52140341840148,"endHours":10.52140341840148,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:31","end":"11:31","startHours":10.52140341840148,"endHours":11.52140341840148,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:31","end":"12:31","startHours":11.52140341840148,"endHours":12.52140341840148,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:31","end":"13:31","startHours":12.52140341840148,"endHours":13.52140341840148,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:31","end":"14:31","startHours":13.52140341840148,"endHours":14.52140341840148,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:31","end":"15:31","startHours":14.52140341840148,"endHours":15.52140341840148,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:31","end":"16:31","startHours":15.52140341840148,"endHours":16.52140341840148,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:31","end":"17:31","startHours":16.52140341840148,"endHours":17.52140341840148,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:31","end":"18:31","startHours":17.52140341840148,"endHours":18.52140341840148,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:31","end":"19:31","startHours":18.52140341840148,"endHours":19.52140341840148,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:31","end":"20:31","startHours":19.52140341840148,"endHours":20.52140341840148,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:31","end":"21:31","startHours":20.52140341840148,"endHours":21.52140341840148,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:31","end":"22:31","startHours":21.52140341840148,"endHours":22.52140341840148,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:31","end":"23:31","startHours":22.52140341840148,"endHours":23.52140341840148,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:31","end":"00:31","startHours":23.52140341840148,"endHours":24.52140341840148,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:31","end":"01:31","startHours":24.52140341840148,"endHours":25.52140341840148,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:31","end":"02:31","startHours":25.52140341840148,"endHours":26.52140341840148,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:31","end":"03:31","startHours":26.52140341840148,"endHours":27.52140341840148,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:31","end":"04:31","startHours":27.52140341840148,"endHours":28.52140341840148,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:31","end":"05:31","startHours":28.52140341840148,"endHours":29.52140341840148,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"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":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.551312350799467,"eotMinutes":3.759622831758854,"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":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Ekādaśī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[{"id":"apara-ekadashi","name":"Aparā Ekādaśī","name_sanskrit":"अपरा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Boundless (aparā) merit; removes brahma-hatyā even.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Jyeṣṭha"},"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga May 14, 2159 CE · Mathurā · Vidhyamitra","description":"May 14, 2159 CE for Mathurā: Kṛṣṇa Ekādaśī, sūryodaya 05:31, sūryāsta 19:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2159-05-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2159-05-14","sa":"https://sa.vidhyamitra.com/city/mathura/2159-05-14","hi":"https://hi.vidhyamitra.com/city/mathura/2159-05-14","x-default":"https://vidhyamitra.com/city/mathura/2159-05-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T14:40:20.365Z","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":"2026-05-31T14:40:20.366Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T14:40:20.366Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}