{"id":"vidhyamitra:city-day:mathura:2045-06-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2045-06-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-06-14","date_display":"June 14, 2045 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":2045,"month":6,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468145.770833,"kali_year":5147,"ahargana":1879680.2708,"sun":{"sidereal_longitude":58.6123,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":43.1593,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":344.547,"elapsed_within_tithi_degrees":8.547},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":43.1593,"elapsed_within_degrees":3.1593},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":101.7717},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2045,"month":6,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468145.770833,"ahargana":1879680.2708,"kali_year":5147,"ayanamsa_lahiri":24.4879,"grahas":{"sun":{"sidereal_longitude":58.93363899999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":44.253439000000014,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false,"latitude":4.4597},"mars":{"sidereal_longitude":47.851338999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":78.30843900000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":317.48173900000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":80.87993899999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":221.95993899999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":305.4936,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":125.4936,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"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":2045,"month":6,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468145.770833,"kali_year":5147,"ahargana":1879680.2708,"sun":{"sidereal_longitude":58.6123,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":43.1593,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":344.547,"elapsed_within_tithi_degrees":8.547},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":43.1593,"elapsed_within_degrees":3.1593},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":101.7717},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.46,"elongation":15.453},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.46,"opposition_distance":164.547}},"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":"05:23","sunsetLocal":"19:15","solarNoonLocal":"12:19","dayLengthHours":13.864679935168816,"dayLengthDisplay":"13 Hours 51 Mins 53 Secs","nightLengthDisplay":"10 Hours 08 Mins 07 Secs","moonriseLocal":"04:30","moonsetLocal":"18:11","rahuKala":{"name":"Rāhu Kāla","start":"12:19","end":"14:03","startHours":12.32154588749746,"endHours":14.054630879393564,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:07","end":"08:51","startHours":7.122290911809154,"endHours":8.855375903705255,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:35","end":"12:19","startHours":10.588460895601358,"endHours":12.32154588749746,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:37","end":"09:05","startHours":8.624297904785776,"endHours":9.086453902624736,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:58","end":"06:20","startHours":5.966900917211753,"endHours":6.336625715482921,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:47","startHours":11.8593898896585,"endHours":12.783701885336422,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:32","end":"04:28","startHours":3.5405819285572098,"endHours":4.464893924235131,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:14","end":"05:23","startHours":4.233815925315651,"endHours":5.389205919913052,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:33","startHours":14.632325876692263,"endHours":15.556637872370185,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:03","end":"19:27","startHours":19.05388585508187,"endHours":19.453885855081868,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:15","end":"19:50","startHours":19.25388585508187,"endHours":19.83158085238057,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:00","end":"20:45","startHours":19.00388585508187,"endHours":20.75388585508187,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:47","startHours":23.8593898896585,"endHours":24.78370188533642,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:23","end":"07:07","startHours":5.389205919913052,"endHours":7.122290911809154,"quality":"auspicious"},{"name":"Amṛta","start":"07:07","end":"08:51","startHours":7.122290911809154,"endHours":8.855375903705255,"quality":"auspicious"},{"name":"Kāla","start":"08:51","end":"10:35","startHours":8.855375903705255,"endHours":10.588460895601358,"quality":"inauspicious"},{"name":"Śubha","start":"10:35","end":"12:19","startHours":10.588460895601358,"endHours":12.32154588749746,"quality":"auspicious"},{"name":"Roga","start":"12:19","end":"14:03","startHours":12.32154588749746,"endHours":14.054630879393564,"quality":"inauspicious"},{"name":"Udveg","start":"14:03","end":"15:47","startHours":14.054630879393564,"endHours":15.787715871289663,"quality":"inauspicious"},{"name":"Chala","start":"15:47","end":"17:31","startHours":15.787715871289663,"endHours":17.520800863185766,"quality":"neutral"},{"name":"Labha","start":"17:31","end":"19:15","startHours":17.520800863185766,"endHours":19.25388585508187,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:15","end":"20:31","startHours":19.25388585508187,"endHours":20.520800863185766,"quality":"inauspicious"},{"name":"Chala","start":"20:31","end":"21:47","startHours":20.520800863185766,"endHours":21.787715871289663,"quality":"neutral"},{"name":"Labha","start":"21:47","end":"23:03","startHours":21.787715871289663,"endHours":23.054630879393564,"quality":"auspicious"},{"name":"Amṛta","start":"23:03","end":"00:19","startHours":23.054630879393564,"endHours":24.32154588749746,"quality":"auspicious"},{"name":"Kāla","start":"00:19","end":"01:35","startHours":24.32154588749746,"endHours":25.588460895601358,"quality":"inauspicious"},{"name":"Śubha","start":"01:35","end":"02:51","startHours":25.588460895601358,"endHours":26.85537590370526,"quality":"auspicious"},{"name":"Roga","start":"02:51","end":"04:07","startHours":26.85537590370526,"endHours":28.122290911809156,"quality":"inauspicious"},{"name":"Udveg","start":"04:07","end":"05:23","startHours":28.122290911809156,"endHours":29.389205919913053,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:23","end":"06:23","startHours":5.389205919913052,"endHours":6.389205919913052,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:23","end":"07:23","startHours":6.389205919913052,"endHours":7.389205919913052,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:23","end":"08:23","startHours":7.389205919913052,"endHours":8.389205919913053,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:23","end":"09:23","startHours":8.389205919913053,"endHours":9.389205919913053,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:23","end":"10:23","startHours":9.389205919913053,"endHours":10.389205919913053,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:23","end":"11:23","startHours":10.389205919913053,"endHours":11.389205919913053,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:23","end":"12:23","startHours":11.389205919913053,"endHours":12.389205919913053,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:23","end":"13:23","startHours":12.389205919913053,"endHours":13.389205919913053,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:23","end":"14:23","startHours":13.389205919913053,"endHours":14.389205919913053,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:23","end":"15:23","startHours":14.389205919913053,"endHours":15.389205919913053,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:23","end":"16:23","startHours":15.389205919913053,"endHours":16.389205919913053,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:23","end":"17:23","startHours":16.389205919913053,"endHours":17.389205919913053,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:23","end":"18:23","startHours":17.389205919913053,"endHours":18.389205919913053,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:23","end":"19:23","startHours":18.389205919913053,"endHours":19.389205919913053,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:23","end":"20:23","startHours":19.389205919913053,"endHours":20.389205919913053,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:23","end":"21:23","startHours":20.389205919913053,"endHours":21.389205919913053,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:23","end":"22:23","startHours":21.389205919913053,"endHours":22.389205919913053,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:23","end":"23:23","startHours":22.389205919913053,"endHours":23.389205919913053,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:23","end":"00:23","startHours":23.389205919913053,"endHours":24.389205919913053,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:23","end":"01:23","startHours":24.389205919913053,"endHours":25.389205919913053,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:23","end":"02:23","startHours":25.389205919913053,"endHours":26.389205919913053,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:23","end":"03:23","startHours":26.389205919913053,"endHours":27.389205919913053,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:23","end":"04:23","startHours":27.389205919913053,"endHours":28.389205919913053,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:23","end":"05:23","startHours":28.389205919913053,"endHours":29.389205919913053,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":23.273068682122133,"eotMinutes":0.012446750152415254,"ayanamsa":24.4879}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Caturdaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"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":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","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 June 14, 2045 CE · Mathurā · Vidhyamitra","description":"June 14, 2045 CE for Mathurā: Kṛṣṇa Caturdaśī, sūryodaya 05:23, sūryāsta 19:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2045-06-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2045-06-14","sa":"https://sa.vidhyamitra.com/city/mathura/2045-06-14","hi":"https://hi.vidhyamitra.com/city/mathura/2045-06-14","x-default":"https://vidhyamitra.com/city/mathura/2045-06-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:54:25.297Z","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":"2026-05-14T15:54:25.297Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:54:25.297Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}