{"id":"vidhyamitra:city-day:mathura:2040-07-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2040-07-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-07-20","date_display":"July 20, 2040 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":2040,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466355.770833,"kali_year":5142,"ahargana":1877890.2708,"sun":{"sidereal_longitude":92.9834,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":219.4221,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":126.4387,"elapsed_within_tithi_degrees":6.4387},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":219.4221,"elapsed_within_degrees":6.0887},"yoga":{"number":24,"name":"Śukla","sum_longitude":312.4054},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2040,"month":7,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466355.770833,"ahargana":1877890.2708,"kali_year":5142,"ayanamsa_lahiri":24.4195,"grahas":{"sun":{"sidereal_longitude":93.54302999999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"moon":{"sidereal_longitude":217.15842999999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false,"latitude":0.0717},"mars":{"sidereal_longitude":139.23982999999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":72.63183000000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":152.17792999999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":106.66113000000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":161.58303,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":40.3364,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":220.3364,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"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":2040,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466355.770833,"kali_year":5142,"ahargana":1877890.2708,"sun":{"sidereal_longitude":92.9834,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":219.4221,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":126.4387,"elapsed_within_tithi_degrees":6.4387},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":219.4221,"elapsed_within_degrees":6.0887},"yoga":{"number":24,"name":"Śukla","sum_longitude":312.4054},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.072,"elongation":126.439},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.072,"opposition_distance":53.561}},"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":"05:36","sunsetLocal":"19:14","solarNoonLocal":"12:25","dayLengthHours":13.637926770634152,"dayLengthDisplay":"13 Hours 38 Mins 17 Secs","nightLengthDisplay":"10 Hours 21 Mins 43 Secs","moonriseLocal":"15:22","moonsetLocal":"01:58","rahuKala":{"name":"Rāhu Kāla","start":"10:43","end":"12:25","startHours":10.716916173923355,"endHours":12.421657020252624,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:50","end":"17:32","startHours":15.831138712911162,"endHours":17.53587955924043,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:18","end":"09:01","startHours":7.307434481264818,"endHours":9.012175327594086,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:14","startHours":8.784876548083517,"endHours":9.239474107104655,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:10","end":"06:32","startHours":6.170940583711972,"endHours":6.5346186309288825,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.967059461231486,"endHours":12.876254579273763,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:47","end":"04:42","startHours":3.7843033988509953,"endHours":4.693498516893272,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:28","end":"05:36","startHours":4.466199737382703,"endHours":5.602693634935549,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:36","startHours":14.694644815358316,"endHours":15.603839933400593,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:02","end":"19:26","startHours":19.0406204055697,"endHours":19.4406204055697,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:14","end":"19:49","startHours":19.2406204055697,"endHours":19.808867354346123,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:59","end":"20:44","startHours":18.9906204055697,"endHours":20.7406204055697,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.967059461231486,"endHours":24.876254579273763,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:36","end":"07:18","startHours":5.602693634935549,"endHours":7.307434481264818,"quality":"neutral"},{"name":"Labha","start":"07:18","end":"09:01","startHours":7.307434481264818,"endHours":9.012175327594086,"quality":"auspicious"},{"name":"Amṛta","start":"09:01","end":"10:43","startHours":9.012175327594086,"endHours":10.716916173923355,"quality":"auspicious"},{"name":"Kāla","start":"10:43","end":"12:25","startHours":10.716916173923355,"endHours":12.421657020252624,"quality":"inauspicious"},{"name":"Śubha","start":"12:25","end":"14:08","startHours":12.421657020252624,"endHours":14.126397866581893,"quality":"auspicious"},{"name":"Roga","start":"14:08","end":"15:50","startHours":14.126397866581893,"endHours":15.831138712911162,"quality":"inauspicious"},{"name":"Udveg","start":"15:50","end":"17:32","startHours":15.831138712911162,"endHours":17.53587955924043,"quality":"inauspicious"},{"name":"Chala","start":"17:32","end":"19:14","startHours":17.53587955924043,"endHours":19.2406204055697,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:14","end":"20:32","startHours":19.2406204055697,"endHours":20.53587955924043,"quality":"inauspicious"},{"name":"Udveg","start":"20:32","end":"21:50","startHours":20.53587955924043,"endHours":21.831138712911162,"quality":"inauspicious"},{"name":"Chala","start":"21:50","end":"23:08","startHours":21.831138712911162,"endHours":23.126397866581893,"quality":"neutral"},{"name":"Labha","start":"23:08","end":"00:25","startHours":23.126397866581893,"endHours":24.421657020252624,"quality":"auspicious"},{"name":"Amṛta","start":"00:25","end":"01:43","startHours":24.421657020252624,"endHours":25.716916173923355,"quality":"auspicious"},{"name":"Kāla","start":"01:43","end":"03:01","startHours":25.716916173923355,"endHours":27.012175327594086,"quality":"inauspicious"},{"name":"Śubha","start":"03:01","end":"04:18","startHours":27.012175327594086,"endHours":28.307434481264817,"quality":"auspicious"},{"name":"Roga","start":"04:18","end":"05:36","startHours":28.307434481264817,"endHours":29.602693634935548,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:36","end":"06:36","startHours":5.602693634935549,"endHours":6.602693634935549,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:36","end":"07:36","startHours":6.602693634935549,"endHours":7.602693634935549,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:36","end":"08:36","startHours":7.602693634935549,"endHours":8.602693634935548,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:36","end":"09:36","startHours":8.602693634935548,"endHours":9.602693634935548,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:36","end":"10:36","startHours":9.602693634935548,"endHours":10.602693634935548,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:36","end":"11:36","startHours":10.602693634935548,"endHours":11.602693634935548,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:36","end":"12:36","startHours":11.602693634935548,"endHours":12.602693634935548,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:36","end":"13:36","startHours":12.602693634935548,"endHours":13.602693634935548,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:36","end":"14:36","startHours":13.602693634935548,"endHours":14.602693634935548,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:36","end":"15:36","startHours":14.602693634935548,"endHours":15.602693634935548,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:36","end":"16:36","startHours":15.602693634935548,"endHours":16.602693634935548,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:36","end":"17:36","startHours":16.602693634935548,"endHours":17.602693634935548,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:36","end":"18:36","startHours":17.602693634935548,"endHours":18.602693634935548,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:36","end":"19:36","startHours":18.602693634935548,"endHours":19.602693634935548,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:36","end":"20:36","startHours":19.602693634935548,"endHours":20.602693634935548,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:36","end":"21:36","startHours":20.602693634935548,"endHours":21.602693634935548,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:36","end":"22:36","startHours":21.602693634935548,"endHours":22.602693634935548,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:36","end":"23:36","startHours":22.602693634935548,"endHours":23.602693634935548,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:36","end":"00:36","startHours":23.602693634935548,"endHours":24.602693634935548,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:36","end":"01:36","startHours":24.602693634935548,"endHours":25.602693634935548,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:36","end":"02:36","startHours":25.602693634935548,"endHours":26.602693634935548,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:36","end":"03:36","startHours":26.602693634935548,"endHours":27.602693634935548,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:36","end":"04:36","startHours":27.602693634935548,"endHours":28.602693634935548,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:36","end":"05:36","startHours":28.602693634935548,"endHours":29.602693634935548,"planetary_lord":"Mars"}],"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":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"South-East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"drikRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":20.56678571840307,"eotMinutes":-5.99422121515736,"ayanamsa":24.4195}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Ekādaśī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2},{"id":"pavitropana-ekadashi","name":"Pavitropanā Ekādaśī (Putradā)","name_sanskrit":"पवित्रोपना एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Confers son; pavitra (sacred thread) ceremony for Viṣṇu.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 20, 2040 CE · Mathurā · Vidhyamitra","description":"July 20, 2040 CE for Mathurā: Śukla Ekādaśī, sūryodaya 05:36, sūryāsta 19:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2040-07-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2040-07-20","sa":"https://sa.vidhyamitra.com/city/mathura/2040-07-20","hi":"https://hi.vidhyamitra.com/city/mathura/2040-07-20","x-default":"https://vidhyamitra.com/city/mathura/2040-07-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:07:56.896Z","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":"2026-05-14T17:07:56.896Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:07:56.896Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}