{"id":"vidhyamitra:city-day:mathura:2087-07-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2087-07-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2087-07-14","date_display":"July 14, 2087 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":2087,"month":7,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483515.770833,"kali_year":5189,"ahargana":1895050.2708,"sun":{"sidereal_longitude":86.1987,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":244.6827,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":158.484,"elapsed_within_tithi_degrees":2.484},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":244.6827,"elapsed_within_degrees":4.6827},"yoga":{"number":25,"name":"Brahma","sum_longitude":330.8813},"karana":{"half_tithi_index":26,"name":"Gara"},"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":2087,"month":7,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483515.770833,"ahargana":1895050.2708,"kali_year":5189,"ayanamsa_lahiri":25.0758,"grahas":{"sun":{"sidereal_longitude":86.82429200000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":245.82009199999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false,"latitude":2.4862},"mars":{"sidereal_longitude":132.124392,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":68.99819200000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":139.424492,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":103.11209200000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":16.453392000000008,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":211.117,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":31.117,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2087,"month":7,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483515.770833,"kali_year":5189,"ahargana":1895050.2708,"sun":{"sidereal_longitude":86.1987,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":244.6827,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":158.484,"elapsed_within_tithi_degrees":2.484},"nakshatra":{"number":19,"name":"Mūla","pada":2,"moon_longitude":244.6827,"elapsed_within_degrees":4.6827},"yoga":{"number":25,"name":"Brahma","sum_longitude":330.8813},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.486,"elongation":158.484},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.486,"opposition_distance":21.516}},"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":"05:33","sunsetLocal":"19:17","solarNoonLocal":"12:25","dayLengthHours":13.727920195262513,"dayLengthDisplay":"13 Hours 43 Mins 41 Secs","nightLengthDisplay":"10 Hours 16 Mins 19 Secs","moonriseLocal":"17:50","moonsetLocal":"04:12","rahuKala":{"name":"Rāhu Kāla","start":"07:16","end":"08:59","startHours":7.265057034883884,"endHours":8.981047059291697,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:42","end":"12:25","startHours":10.697037083699513,"endHours":12.413027108107325,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:08","end":"15:51","startHours":14.129017132515141,"endHours":15.845007156922954,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:13","startHours":8.752248389370656,"endHours":9.20984572921274,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:29","startHours":6.121063685278674,"endHours":6.487141557152341,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.955429768265242,"endHours":12.870624447949409,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:38","startHours":3.7186776511077344,"endHours":4.6338723307919025,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:33","startHours":4.40507366087086,"endHours":5.54906701047607,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.701013807317747,"endHours":15.616208487001915,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.076987205738583,"endHours":19.47698720573858,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:51","startHours":19.276987205738582,"endHours":19.848983880541187,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.026987205738582,"endHours":20.776987205738582,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.95542976826524,"endHours":24.87062444794941,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:33","end":"07:16","startHours":5.54906701047607,"endHours":7.265057034883884,"quality":"auspicious"},{"name":"Kāla","start":"07:16","end":"08:59","startHours":7.265057034883884,"endHours":8.981047059291697,"quality":"inauspicious"},{"name":"Śubha","start":"08:59","end":"10:42","startHours":8.981047059291697,"endHours":10.697037083699513,"quality":"auspicious"},{"name":"Roga","start":"10:42","end":"12:25","startHours":10.697037083699513,"endHours":12.413027108107325,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"14:08","startHours":12.413027108107325,"endHours":14.129017132515141,"quality":"inauspicious"},{"name":"Chala","start":"14:08","end":"15:51","startHours":14.129017132515141,"endHours":15.845007156922954,"quality":"neutral"},{"name":"Labha","start":"15:51","end":"17:34","startHours":15.845007156922954,"endHours":17.56099718133077,"quality":"auspicious"},{"name":"Amṛta","start":"17:34","end":"19:17","startHours":17.56099718133077,"endHours":19.276987205738582,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:17","end":"20:34","startHours":19.276987205738582,"endHours":20.56099718133077,"quality":"neutral"},{"name":"Labha","start":"20:34","end":"21:51","startHours":20.56099718133077,"endHours":21.845007156922954,"quality":"auspicious"},{"name":"Amṛta","start":"21:51","end":"23:08","startHours":21.845007156922954,"endHours":23.129017132515138,"quality":"auspicious"},{"name":"Kāla","start":"23:08","end":"00:25","startHours":23.129017132515138,"endHours":24.413027108107325,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"01:42","startHours":24.413027108107325,"endHours":25.697037083699513,"quality":"auspicious"},{"name":"Roga","start":"01:42","end":"02:59","startHours":25.697037083699513,"endHours":26.981047059291697,"quality":"inauspicious"},{"name":"Udveg","start":"02:59","end":"04:16","startHours":26.981047059291697,"endHours":28.26505703488388,"quality":"inauspicious"},{"name":"Chala","start":"04:16","end":"05:33","startHours":28.26505703488388,"endHours":29.54906701047607,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.54906701047607,"endHours":6.54906701047607,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.54906701047607,"endHours":7.54906701047607,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.54906701047607,"endHours":8.549067010476069,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.549067010476069,"endHours":9.549067010476069,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.549067010476069,"endHours":10.549067010476069,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.549067010476069,"endHours":11.549067010476069,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.549067010476069,"endHours":12.549067010476069,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.549067010476069,"endHours":13.549067010476069,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.549067010476069,"endHours":14.549067010476069,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.549067010476069,"endHours":15.549067010476069,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.549067010476069,"endHours":16.54906701047607,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.54906701047607,"endHours":17.54906701047607,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.54906701047607,"endHours":18.54906701047607,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.54906701047607,"endHours":19.54906701047607,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.54906701047607,"endHours":20.54906701047607,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.54906701047607,"endHours":21.54906701047607,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.54906701047607,"endHours":22.54906701047607,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.54906701047607,"endHours":23.54906701047607,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.54906701047607,"endHours":24.54906701047607,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.54906701047607,"endHours":25.54906701047607,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.54906701047607,"endHours":26.54906701047607,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.54906701047607,"endHours":27.54906701047607,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.54906701047607,"endHours":28.54906701047607,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.54906701047607,"endHours":29.54906701047607,"planetary_lord":"Venus"}],"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":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.655829416098015,"eotMinutes":-5.476426486439539,"ayanamsa":25.0758}},"calendars":{"vikram_samvat":2144,"vikram_samvatsara":"Raudra","saka_samvat":2009,"saka_samvatsara":"Plavaṅga","bengali_samvat":1494,"malayalam_era":1263,"nanakshahi_year":618,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Caturdaśī · Vikram 2144 Raudra · Śaka 2009 Plavaṅga"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"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 July 14, 2087 CE · Mathurā · Vidhyamitra","description":"July 14, 2087 CE for Mathurā: Śukla Caturdaśī, sūryodaya 05:33, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2087-07-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2087-07-14","sa":"https://sa.vidhyamitra.com/city/mathura/2087-07-14","hi":"https://hi.vidhyamitra.com/city/mathura/2087-07-14","x-default":"https://vidhyamitra.com/city/mathura/2087-07-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:41:47.505Z","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":"2026-05-14T14:41:47.505Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:41:47.505Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}