{"id":"vidhyamitra:city-day:mathura:2040-07-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2040-07-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-07-10","date_display":"July 10, 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":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466345.770833,"kali_year":5142,"ahargana":1877880.2708,"sun":{"sidereal_longitude":83.5112,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":92.4591,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":8.9479,"elapsed_within_tithi_degrees":8.9479},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":92.4591,"elapsed_within_degrees":12.4591},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":175.9703},"karana":{"half_tithi_index":1,"name":"Bava"},"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":2040,"month":7,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466345.770833,"ahargana":1877880.2708,"kali_year":5142,"ayanamsa_lahiri":24.4191,"grahas":{"sun":{"sidereal_longitude":84.004212,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":91.10171200000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":3.5249},"mars":{"sidereal_longitude":133.21381199999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":65.70721200000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":150.719112,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":94.37811199999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":160.97691199999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":40.8663,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":220.8663,"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":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466345.770833,"kali_year":5142,"ahargana":1877880.2708,"sun":{"sidereal_longitude":83.5112,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":92.4591,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":8.9479,"elapsed_within_tithi_degrees":8.9479},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":92.4591,"elapsed_within_degrees":12.4591},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":175.9703},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.525,"elongation":8.948},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.525,"opposition_distance":171.052}},"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":"19:17","solarNoonLocal":"12:24","dayLengthHours":13.770938352733182,"dayLengthDisplay":"13 Hours 46 Mins 15 Secs","nightLengthDisplay":"10 Hours 13 Mins 45 Secs","moonriseLocal":"06:04","moonsetLocal":"19:42","rahuKala":{"name":"Rāhu Kāla","start":"15:51","end":"17:34","startHours":15.8473566126995,"endHours":17.56872390679115,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:58","end":"10:41","startHours":8.961887436332908,"endHours":10.683254730424558,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:24","end":"14:08","startHours":12.404622024516204,"endHours":14.125989318607854,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:44","end":"09:11","startHours":8.73237179712069,"endHours":9.191403075545129,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:06","end":"06:28","startHours":6.092941946180163,"endHours":6.460166968919715,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.945590746091765,"endHours":12.863653302940643,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:41","end":"04:36","startHours":3.683027734451856,"endHours":4.601090291300735,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:22","end":"05:31","startHours":4.3715746520885155,"endHours":5.519152848149614,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.699778416638402,"endHours":15.617840973487281,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.090091200882796,"endHours":19.490091200882794,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:52","startHours":19.290091200882795,"endHours":19.863880298913344,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.040091200882795,"endHours":20.790091200882795,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.945590746091764,"endHours":24.863653302940644,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:31","end":"07:14","startHours":5.519152848149614,"endHours":7.2405201422412615,"quality":"inauspicious"},{"name":"Udveg","start":"07:14","end":"08:58","startHours":7.2405201422412615,"endHours":8.961887436332908,"quality":"inauspicious"},{"name":"Chala","start":"08:58","end":"10:41","startHours":8.961887436332908,"endHours":10.683254730424558,"quality":"neutral"},{"name":"Labha","start":"10:41","end":"12:24","startHours":10.683254730424558,"endHours":12.404622024516204,"quality":"auspicious"},{"name":"Amṛta","start":"12:24","end":"14:08","startHours":12.404622024516204,"endHours":14.125989318607854,"quality":"auspicious"},{"name":"Kāla","start":"14:08","end":"15:51","startHours":14.125989318607854,"endHours":15.8473566126995,"quality":"inauspicious"},{"name":"Śubha","start":"15:51","end":"17:34","startHours":15.8473566126995,"endHours":17.56872390679115,"quality":"auspicious"},{"name":"Roga","start":"17:34","end":"19:17","startHours":17.56872390679115,"endHours":19.290091200882795,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:17","end":"20:34","startHours":19.290091200882795,"endHours":20.56872390679115,"quality":"inauspicious"},{"name":"Śubha","start":"20:34","end":"21:51","startHours":20.56872390679115,"endHours":21.8473566126995,"quality":"auspicious"},{"name":"Roga","start":"21:51","end":"23:08","startHours":21.8473566126995,"endHours":23.12598931860785,"quality":"inauspicious"},{"name":"Udveg","start":"23:08","end":"00:24","startHours":23.12598931860785,"endHours":24.404622024516204,"quality":"inauspicious"},{"name":"Chala","start":"00:24","end":"01:41","startHours":24.404622024516204,"endHours":25.683254730424558,"quality":"neutral"},{"name":"Labha","start":"01:41","end":"02:58","startHours":25.683254730424558,"endHours":26.96188743633291,"quality":"auspicious"},{"name":"Amṛta","start":"02:58","end":"04:14","startHours":26.96188743633291,"endHours":28.24052014224126,"quality":"auspicious"},{"name":"Kāla","start":"04:14","end":"05:31","startHours":28.24052014224126,"endHours":29.519152848149613,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:31","end":"06:31","startHours":5.519152848149614,"endHours":6.519152848149614,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:31","end":"07:31","startHours":6.519152848149614,"endHours":7.519152848149614,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:31","end":"08:31","startHours":7.519152848149614,"endHours":8.519152848149613,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:31","end":"09:31","startHours":8.519152848149613,"endHours":9.519152848149613,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:31","end":"10:31","startHours":9.519152848149613,"endHours":10.519152848149613,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:31","end":"11:31","startHours":10.519152848149613,"endHours":11.519152848149613,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:31","end":"12:31","startHours":11.519152848149613,"endHours":12.519152848149613,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:31","end":"13:31","startHours":12.519152848149613,"endHours":13.519152848149613,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:31","end":"14:31","startHours":13.519152848149613,"endHours":14.519152848149613,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:31","end":"15:31","startHours":14.519152848149613,"endHours":15.519152848149613,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:31","end":"16:31","startHours":15.519152848149613,"endHours":16.519152848149613,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:31","end":"17:31","startHours":16.519152848149613,"endHours":17.519152848149613,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:31","end":"18:31","startHours":17.519152848149613,"endHours":18.519152848149613,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:31","end":"19:31","startHours":18.519152848149613,"endHours":19.519152848149613,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:31","end":"20:31","startHours":19.519152848149613,"endHours":20.519152848149613,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:31","end":"21:31","startHours":20.519152848149613,"endHours":21.519152848149613,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:31","end":"22:31","startHours":21.519152848149613,"endHours":22.519152848149613,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:31","end":"23:31","startHours":22.519152848149613,"endHours":23.519152848149613,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:31","end":"00:31","startHours":23.519152848149613,"endHours":24.519152848149613,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:31","end":"01:31","startHours":24.519152848149613,"endHours":25.519152848149613,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:31","end":"02:31","startHours":25.519152848149613,"endHours":26.519152848149613,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:31","end":"03:31","startHours":26.519152848149613,"endHours":27.519152848149613,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:31","end":"04:31","startHours":27.519152848149613,"endHours":28.519152848149613,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:31","end":"05:31","startHours":28.519152848149613,"endHours":29.519152848149613,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"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":22.16948831777711,"eotMinutes":-4.972121470972273,"ayanamsa":24.4191}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Pratipada · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[{"id":"ashadha-gupta-navratri-start","name":"Āṣāḍha Gupta Navrātri Start","name_sanskrit":"आषाढ गुप्त नवरात्रि आरम्भ","tradition":"Shakta","associated_deity":"Devī (10 Mahāvidyās)","significance":"Second Gupta Navrātri.","vrata":true,"detection":{"tithi_number":1,"tithi_paksha":"Śukla","lunar_month":"Āṣāḍha"},"precedence":3},{"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":"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":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","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 July 10, 2040 CE · Mathurā · Vidhyamitra","description":"July 10, 2040 CE for Mathurā: Śukla Pratipada, sūryodaya 05:31, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2040-07-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2040-07-10","sa":"https://sa.vidhyamitra.com/city/mathura/2040-07-10","hi":"https://hi.vidhyamitra.com/city/mathura/2040-07-10","x-default":"https://vidhyamitra.com/city/mathura/2040-07-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:48:04.660Z","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":"2026-05-14T15:48:04.660Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:48:04.660Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}