{"id":"vidhyamitra:city-day:mathura:2075-05-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2075-05-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-05-14","date_display":"May 14, 2075 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":2075,"month":5,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479071.770833,"kali_year":5177,"ahargana":1890606.2708,"sun":{"sidereal_longitude":28.3388,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":18.731,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":350.3922,"elapsed_within_tithi_degrees":2.3922},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":18.731,"elapsed_within_degrees":5.3976},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":47.0697},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"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":2075,"month":5,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479071.770833,"ahargana":1890606.2708,"kali_year":5177,"ayanamsa_lahiri":24.9058,"grahas":{"sun":{"sidereal_longitude":28.521185000000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":18.059784999999977,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false,"latitude":-4.1673},"mars":{"sidereal_longitude":13.31158499999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":27.946784999999977,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":128.54758500000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":6.926285000000007,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":231.10458500000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":86.5815,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":266.5815,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"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":2075,"month":5,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479071.770833,"kali_year":5177,"ahargana":1890606.2708,"sun":{"sidereal_longitude":28.3388,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":18.731,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":350.3922,"elapsed_within_tithi_degrees":2.3922},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":18.731,"elapsed_within_degrees":5.3976},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":47.0697},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.167,"elongation":9.608},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.167,"opposition_distance":170.392}},"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":13.48145507588725,"dayLengthDisplay":"13 Hours 28 Mins 53 Secs","nightLengthDisplay":"10 Hours 31 Mins 07 Secs","moonriseLocal":"04:57","moonsetLocal":"18:10","rahuKala":{"name":"Rāhu Kāla","start":"15:38","end":"17:19","startHours":15.629456721775831,"endHours":17.314638606261738,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:53","end":"10:34","startHours":8.888729183832208,"endHours":10.573911068318115,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:16","end":"13:57","startHours":12.259092952804021,"endHours":13.944274837289928,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:07","startHours":8.664038265900754,"endHours":9.113420101763662,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:05","end":"06:26","startHours":6.080092709689031,"endHours":6.439598178379358,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.809711116941111,"endHours":12.708474788666928,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:37","startHours":3.7208380714087617,"endHours":4.619601743134578,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:31","startHours":4.394910825203124,"endHours":5.518365414860395,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:24","startHours":14.506002132118564,"endHours":15.40476580384438,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:48","end":"19:12","startHours":18.799820490747646,"endHours":19.199820490747644,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:00","end":"19:34","startHours":18.999820490747645,"endHours":19.56154778557628,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:45","end":"20:30","startHours":18.749820490747645,"endHours":20.499820490747645,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.80971111694111,"endHours":24.708474788666926,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:31","end":"07:12","startHours":5.518365414860395,"endHours":7.203547299346301,"quality":"inauspicious"},{"name":"Udveg","start":"07:12","end":"08:53","startHours":7.203547299346301,"endHours":8.888729183832208,"quality":"inauspicious"},{"name":"Chala","start":"08:53","end":"10:34","startHours":8.888729183832208,"endHours":10.573911068318115,"quality":"neutral"},{"name":"Labha","start":"10:34","end":"12:16","startHours":10.573911068318115,"endHours":12.259092952804021,"quality":"auspicious"},{"name":"Amṛta","start":"12:16","end":"13:57","startHours":12.259092952804021,"endHours":13.944274837289928,"quality":"auspicious"},{"name":"Kāla","start":"13:57","end":"15:38","startHours":13.944274837289928,"endHours":15.629456721775831,"quality":"inauspicious"},{"name":"Śubha","start":"15:38","end":"17:19","startHours":15.629456721775831,"endHours":17.314638606261738,"quality":"auspicious"},{"name":"Roga","start":"17:19","end":"19:00","startHours":17.314638606261738,"endHours":18.999820490747645,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:00","end":"20:19","startHours":18.999820490747645,"endHours":20.314638606261738,"quality":"inauspicious"},{"name":"Śubha","start":"20:19","end":"21:38","startHours":20.314638606261738,"endHours":21.62945672177583,"quality":"auspicious"},{"name":"Roga","start":"21:38","end":"22:57","startHours":21.62945672177583,"endHours":22.944274837289925,"quality":"inauspicious"},{"name":"Udveg","start":"22:57","end":"00:16","startHours":22.944274837289925,"endHours":24.259092952804018,"quality":"inauspicious"},{"name":"Chala","start":"00:16","end":"01:34","startHours":24.259092952804018,"endHours":25.57391106831811,"quality":"neutral"},{"name":"Labha","start":"01:34","end":"02:53","startHours":25.57391106831811,"endHours":26.888729183832208,"quality":"auspicious"},{"name":"Amṛta","start":"02:53","end":"04:12","startHours":26.888729183832208,"endHours":28.2035472993463,"quality":"auspicious"},{"name":"Kāla","start":"04:12","end":"05:31","startHours":28.2035472993463,"endHours":29.518365414860394,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:31","end":"06:31","startHours":5.518365414860395,"endHours":6.518365414860395,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:31","end":"07:31","startHours":6.518365414860395,"endHours":7.518365414860395,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:31","end":"08:31","startHours":7.518365414860395,"endHours":8.518365414860394,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:31","end":"09:31","startHours":8.518365414860394,"endHours":9.518365414860394,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:31","end":"10:31","startHours":9.518365414860394,"endHours":10.518365414860394,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:31","end":"11:31","startHours":10.518365414860394,"endHours":11.518365414860394,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:31","end":"12:31","startHours":11.518365414860394,"endHours":12.518365414860394,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:31","end":"13:31","startHours":12.518365414860394,"endHours":13.518365414860394,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:31","end":"14:31","startHours":13.518365414860394,"endHours":14.518365414860394,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:31","end":"15:31","startHours":14.518365414860394,"endHours":15.518365414860394,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:31","end":"16:31","startHours":15.518365414860394,"endHours":16.518365414860394,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:31","end":"17:31","startHours":16.518365414860394,"endHours":17.518365414860394,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:31","end":"18:31","startHours":17.518365414860394,"endHours":18.518365414860394,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:31","end":"19:31","startHours":18.518365414860394,"endHours":19.518365414860394,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:31","end":"20:31","startHours":19.518365414860394,"endHours":20.518365414860394,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:31","end":"21:31","startHours":20.518365414860394,"endHours":21.518365414860394,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:31","end":"22:31","startHours":21.518365414860394,"endHours":22.518365414860394,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:31","end":"23:31","startHours":22.518365414860394,"endHours":23.518365414860394,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:31","end":"00:31","startHours":23.518365414860394,"endHours":24.518365414860394,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:31","end":"01:31","startHours":24.518365414860394,"endHours":25.518365414860394,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:31","end":"02:31","startHours":25.518365414860394,"endHours":26.518365414860394,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:31","end":"03:31","startHours":26.518365414860394,"endHours":27.518365414860394,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:31","end":"04:31","startHours":27.518365414860394,"endHours":28.518365414860394,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:31","end":"05:31","startHours":28.518365414860394,"endHours":29.518365414860394,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","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":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"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":18.627745038822397,"eotMinutes":3.759622831758854,"ayanamsa":24.9058}},"calendars":{"vikram_samvat":2132,"vikram_samvatsara":"Kīlaka","saka_samvat":1997,"saka_samvatsara":"Manmatha","bengali_samvat":1482,"malayalam_era":1251,"nanakshahi_year":606,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Amāvasyā · Vikram 2132 Kīlaka · Śaka 1997 Manmatha"},"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}],"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":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","relevance":0.5}]},"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, 2075 CE · Mathurā · Vidhyamitra","description":"May 14, 2075 CE for Mathurā: Kṛṣṇa Amāvasyā, sūryodaya 05:31, sūryāsta 19:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2075-05-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2075-05-14","sa":"https://sa.vidhyamitra.com/city/mathura/2075-05-14","hi":"https://hi.vidhyamitra.com/city/mathura/2075-05-14","x-default":"https://vidhyamitra.com/city/mathura/2075-05-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:51:28.952Z","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":"2026-05-14T15:51:28.952Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:51:28.952Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}