{"id":"vidhyamitra:city-day:mathura:2040-08-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2040-08-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-08-04","date_display":"August 4, 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":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466370.770833,"kali_year":5142,"ahargana":1877905.2708,"sun":{"sidereal_longitude":107.2269,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":62.1269,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":314.9,"elapsed_within_tithi_degrees":2.9},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":62.1269,"elapsed_within_degrees":8.7936},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":169.3538},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":8,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466370.770833,"ahargana":1877905.2708,"kali_year":5142,"ayanamsa_lahiri":24.42,"grahas":{"sun":{"sidereal_longitude":107.87815699999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":64.46315700000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false,"latitude":1.7267},"mars":{"sidereal_longitude":148.455757,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":97.24775699999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":154.67315699999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":125.070357,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":162.737257,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":39.5416,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":219.5416,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2040,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466370.770833,"kali_year":5142,"ahargana":1877905.2708,"sun":{"sidereal_longitude":107.2269,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":62.1269,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":314.9,"elapsed_within_tithi_degrees":2.9},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":62.1269,"elapsed_within_degrees":8.7936},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":169.3538},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.727,"elongation":45.1},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.727,"opposition_distance":134.9}},"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":"05:44","sunsetLocal":"19:06","solarNoonLocal":"12:25","dayLengthHours":13.361893645221292,"dayLengthDisplay":"13 Hours 21 Mins 43 Secs","nightLengthDisplay":"10 Hours 38 Mins 17 Secs","moonriseLocal":"02:36","moonsetLocal":"16:27","rahuKala":{"name":"Rāhu Kāla","start":"09:05","end":"10:45","startHours":9.077844346428641,"endHours":10.748081052081302,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:05","end":"15:46","startHours":14.088554463386625,"endHours":15.758791169039286,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:44","end":"07:24","startHours":5.737370935123318,"endHours":7.407607640775979,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:18","startHours":8.855146119008285,"endHours":9.300542573848995,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:18","end":"06:39","startHours":6.294116503674205,"endHours":6.650433667546773,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.972921302893255,"endHours":12.863714212574674,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:57","end":"04:51","startHours":3.955785115760479,"endHours":4.846578025441898,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:37","end":"05:44","startHours":4.623879798021544,"endHours":5.737370935123318,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:32","startHours":14.645300031937513,"endHours":15.536092941618932,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:54","end":"19:18","startHours":18.89926458034461,"endHours":19.29926458034461,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:06","end":"19:39","startHours":19.09926458034461,"endHours":19.656010148895497,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:51","end":"20:36","startHours":18.84926458034461,"endHours":20.59926458034461,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.972921302893255,"endHours":24.863714212574678,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:44","end":"07:24","startHours":5.737370935123318,"endHours":7.407607640775979,"quality":"inauspicious"},{"name":"Śubha","start":"07:24","end":"09:05","startHours":7.407607640775979,"endHours":9.077844346428641,"quality":"auspicious"},{"name":"Roga","start":"09:05","end":"10:45","startHours":9.077844346428641,"endHours":10.748081052081302,"quality":"inauspicious"},{"name":"Udveg","start":"10:45","end":"12:25","startHours":10.748081052081302,"endHours":12.418317757733963,"quality":"inauspicious"},{"name":"Chala","start":"12:25","end":"14:05","startHours":12.418317757733963,"endHours":14.088554463386625,"quality":"neutral"},{"name":"Labha","start":"14:05","end":"15:46","startHours":14.088554463386625,"endHours":15.758791169039286,"quality":"auspicious"},{"name":"Amṛta","start":"15:46","end":"17:26","startHours":15.758791169039286,"endHours":17.429027874691947,"quality":"auspicious"},{"name":"Kāla","start":"17:26","end":"19:06","startHours":17.429027874691947,"endHours":19.09926458034461,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:06","end":"20:26","startHours":19.09926458034461,"endHours":20.429027874691947,"quality":"auspicious"},{"name":"Amṛta","start":"20:26","end":"21:46","startHours":20.429027874691947,"endHours":21.758791169039288,"quality":"auspicious"},{"name":"Kāla","start":"21:46","end":"23:05","startHours":21.758791169039288,"endHours":23.088554463386625,"quality":"inauspicious"},{"name":"Śubha","start":"23:05","end":"00:25","startHours":23.088554463386625,"endHours":24.418317757733963,"quality":"auspicious"},{"name":"Roga","start":"00:25","end":"01:45","startHours":24.418317757733963,"endHours":25.748081052081304,"quality":"inauspicious"},{"name":"Udveg","start":"01:45","end":"03:05","startHours":25.748081052081304,"endHours":27.07784434642864,"quality":"inauspicious"},{"name":"Chala","start":"03:05","end":"04:24","startHours":27.07784434642864,"endHours":28.40760764077598,"quality":"neutral"},{"name":"Labha","start":"04:24","end":"05:44","startHours":28.40760764077598,"endHours":29.737370935123316,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:44","end":"06:44","startHours":5.737370935123318,"endHours":6.737370935123318,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:44","end":"07:44","startHours":6.737370935123318,"endHours":7.737370935123318,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:44","end":"08:44","startHours":7.737370935123318,"endHours":8.737370935123318,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:44","end":"09:44","startHours":8.737370935123318,"endHours":9.737370935123318,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:44","end":"10:44","startHours":9.737370935123318,"endHours":10.737370935123318,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:44","end":"11:44","startHours":10.737370935123318,"endHours":11.737370935123318,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:44","end":"12:44","startHours":11.737370935123318,"endHours":12.737370935123318,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:44","end":"13:44","startHours":12.737370935123318,"endHours":13.737370935123318,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:44","end":"14:44","startHours":13.737370935123318,"endHours":14.737370935123318,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:44","end":"15:44","startHours":14.737370935123318,"endHours":15.737370935123318,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:44","end":"16:44","startHours":15.737370935123318,"endHours":16.737370935123316,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:44","end":"17:44","startHours":16.737370935123316,"endHours":17.737370935123316,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:44","end":"18:44","startHours":17.737370935123316,"endHours":18.737370935123316,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:44","end":"19:44","startHours":18.737370935123316,"endHours":19.737370935123316,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:44","end":"20:44","startHours":19.737370935123316,"endHours":20.737370935123316,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:44","end":"21:44","startHours":20.737370935123316,"endHours":21.737370935123316,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:44","end":"22:44","startHours":21.737370935123316,"endHours":22.737370935123316,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:44","end":"23:44","startHours":22.737370935123316,"endHours":23.737370935123316,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:44","end":"00:44","startHours":23.737370935123316,"endHours":24.737370935123316,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:44","end":"01:44","startHours":24.737370935123316,"endHours":25.737370935123316,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:44","end":"02:44","startHours":25.737370935123316,"endHours":26.737370935123316,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:44","end":"03:44","startHours":26.737370935123316,"endHours":27.737370935123316,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:44","end":"04:44","startHours":27.737370935123316,"endHours":28.737370935123316,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:44","end":"05:44","startHours":28.737370935123316,"endHours":29.737370935123316,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":17.108607256177876,"eotMinutes":-5.793865464037833,"ayanamsa":24.42}},"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 Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Dvādaśī · 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}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 August 4, 2040 CE · Mathurā · Vidhyamitra","description":"August 4, 2040 CE for Mathurā: Kṛṣṇa Dvādaśī, sūryodaya 05:44, sūryāsta 19:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2040-08-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2040-08-04","sa":"https://sa.vidhyamitra.com/city/mathura/2040-08-04","hi":"https://hi.vidhyamitra.com/city/mathura/2040-08-04","x-default":"https://vidhyamitra.com/city/mathura/2040-08-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T13:41:24.323Z","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":"2026-05-14T13:41:24.323Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T13:41:24.323Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}