{"id":"vidhyamitra:city-day:mathura:1981-07-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1981-07-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1981-07-15","date_display":"July 15, 1981 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":1981,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444800.770833,"kali_year":5083,"ahargana":1856335.2708,"sun":{"sidereal_longitude":88.4983,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":242.8318,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":154.3335,"elapsed_within_tithi_degrees":10.3335},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":242.8318,"elapsed_within_degrees":2.8318},"yoga":{"number":25,"name":"Brahma","sum_longitude":331.3301},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":1981,"month":7,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2444800.770833,"ahargana":1856335.2708,"kali_year":5083,"ayanamsa_lahiri":23.5951,"grahas":{"sun":{"sidereal_longitude":88.88468899999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":244.12258900000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false,"latitude":2.8662},"mars":{"sidereal_longitude":64.393189,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":68.39868899999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":160.35768899999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":115.14348900000005,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":160.42728899999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":102.424,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":282.424,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":1981,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444800.770833,"kali_year":5083,"ahargana":1856335.2708,"sun":{"sidereal_longitude":88.4983,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":242.8318,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":154.3335,"elapsed_within_tithi_degrees":10.3335},"nakshatra":{"number":19,"name":"Mūla","pada":1,"moon_longitude":242.8318,"elapsed_within_degrees":2.8318},"yoga":{"number":25,"name":"Brahma","sum_longitude":331.3301},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.866,"elongation":154.334},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.866,"opposition_distance":25.666}},"eclipse_window_40days":[{"offset_days":2,"type":"lunar","occurs":true,"moon_latitude":1.092,"opposition_distance":2.128},{"offset_days":16,"type":"solar","occurs":true,"moon_latitude":0.181,"elongation":0.207}]},"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":"19:16","solarNoonLocal":"12:25","dayLengthHours":13.72011660292706,"dayLengthDisplay":"13 Hours 43 Mins 12 Secs","nightLengthDisplay":"10 Hours 16 Mins 48 Secs","moonriseLocal":"17:35","moonsetLocal":"03:57","rahuKala":{"name":"Rāhu Kāla","start":"12:25","end":"14:08","startHours":12.414813518439587,"endHours":14.129828093805468,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:16","end":"08:59","startHours":7.269769792341938,"endHours":8.984784367707821,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:42","end":"12:25","startHours":10.699798943073702,"endHours":12.414813518439587,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:13","startHours":8.756115757659037,"endHours":9.213452977756605,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:08","end":"06:30","startHours":6.126426742098017,"endHours":6.492296518176072,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.957476298342016,"endHours":12.872150738537155,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:38","startHours":3.725406336585781,"endHours":4.640080776780919,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:25","end":"05:33","startHours":4.411412166732134,"endHours":5.554755216976056,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.701499618927429,"endHours":15.616174059122566,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:04","end":"19:28","startHours":19.074871819903116,"endHours":19.474871819903115,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:16","end":"19:51","startHours":19.274871819903115,"endHours":19.846543345025076,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:01","end":"20:46","startHours":19.024871819903115,"endHours":20.774871819903115,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.95747629834202,"endHours":24.872150738537155,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:33","end":"07:16","startHours":5.554755216976056,"endHours":7.269769792341938,"quality":"auspicious"},{"name":"Amṛta","start":"07:16","end":"08:59","startHours":7.269769792341938,"endHours":8.984784367707821,"quality":"auspicious"},{"name":"Kāla","start":"08:59","end":"10:42","startHours":8.984784367707821,"endHours":10.699798943073702,"quality":"inauspicious"},{"name":"Śubha","start":"10:42","end":"12:25","startHours":10.699798943073702,"endHours":12.414813518439587,"quality":"auspicious"},{"name":"Roga","start":"12:25","end":"14:08","startHours":12.414813518439587,"endHours":14.129828093805468,"quality":"inauspicious"},{"name":"Udveg","start":"14:08","end":"15:51","startHours":14.129828093805468,"endHours":15.84484266917135,"quality":"inauspicious"},{"name":"Chala","start":"15:51","end":"17:34","startHours":15.84484266917135,"endHours":17.559857244537234,"quality":"neutral"},{"name":"Labha","start":"17:34","end":"19:16","startHours":17.559857244537234,"endHours":19.274871819903115,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:16","end":"20:34","startHours":19.274871819903115,"endHours":20.559857244537234,"quality":"inauspicious"},{"name":"Chala","start":"20:34","end":"21:51","startHours":20.559857244537234,"endHours":21.84484266917135,"quality":"neutral"},{"name":"Labha","start":"21:51","end":"23:08","startHours":21.84484266917135,"endHours":23.129828093805468,"quality":"auspicious"},{"name":"Amṛta","start":"23:08","end":"00:25","startHours":23.129828093805468,"endHours":24.414813518439587,"quality":"auspicious"},{"name":"Kāla","start":"00:25","end":"01:42","startHours":24.414813518439587,"endHours":25.699798943073702,"quality":"inauspicious"},{"name":"Śubha","start":"01:42","end":"02:59","startHours":25.699798943073702,"endHours":26.98478436770782,"quality":"auspicious"},{"name":"Roga","start":"02:59","end":"04:16","startHours":26.98478436770782,"endHours":28.26976979234194,"quality":"inauspicious"},{"name":"Udveg","start":"04:16","end":"05:33","startHours":28.26976979234194,"endHours":29.554755216976055,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.554755216976056,"endHours":6.554755216976056,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.554755216976056,"endHours":7.554755216976056,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.554755216976056,"endHours":8.554755216976055,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.554755216976055,"endHours":9.554755216976055,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.554755216976055,"endHours":10.554755216976055,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.554755216976055,"endHours":11.554755216976055,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.554755216976055,"endHours":12.554755216976055,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.554755216976055,"endHours":13.554755216976055,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.554755216976055,"endHours":14.554755216976055,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.554755216976055,"endHours":15.554755216976055,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.554755216976055,"endHours":16.554755216976055,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.554755216976055,"endHours":17.554755216976055,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.554755216976055,"endHours":18.554755216976055,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.554755216976055,"endHours":19.554755216976055,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.554755216976055,"endHours":20.554755216976055,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.554755216976055,"endHours":21.554755216976055,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.554755216976055,"endHours":22.554755216976055,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.554755216976055,"endHours":23.554755216976055,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.554755216976055,"endHours":24.554755216976055,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.554755216976055,"endHours":25.554755216976055,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.554755216976055,"endHours":26.554755216976055,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.554755216976055,"endHours":27.554755216976055,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.554755216976055,"endHours":28.554755216976055,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.554755216976055,"endHours":29.554755216976055,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhūmra","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":21.56216800732594,"eotMinutes":-5.583611106375076,"ayanamsa":23.5951}},"calendars":{"vikram_samvat":2038,"vikram_samvatsara":"Bhāva","saka_samvat":1903,"saka_samvatsara":"Durmati","bengali_samvat":1388,"malayalam_era":1157,"nanakshahi_year":512,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Trayodaśī · Vikram 2038 Bhāva · Śaka 1903 Durmati"},"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},{"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":"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":[]},"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 15, 1981 CE · Mathurā · Vidhyamitra","description":"July 15, 1981 CE for Mathurā: Śukla Trayodaśī, sūryodaya 05:33, sūryāsta 19:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1981-07-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1981-07-15","sa":"https://sa.vidhyamitra.com/city/mathura/1981-07-15","hi":"https://hi.vidhyamitra.com/city/mathura/1981-07-15","x-default":"https://vidhyamitra.com/city/mathura/1981-07-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:20:25.167Z","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":"2026-05-14T16:20:25.167Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:20:25.167Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}