{"id":"vidhyamitra:city-day:mathura:2076-08-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2076-08-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2076-08-04","date_display":"August 4, 2076 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":2076,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479519.770833,"kali_year":5178,"ahargana":1891054.2708,"sun":{"sidereal_longitude":106.9269,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":155.8202,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":48.8932,"elapsed_within_tithi_degrees":0.8932},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":155.8202,"elapsed_within_degrees":9.1535},"yoga":{"number":20,"name":"Śiva","sum_longitude":262.7471},"karana":{"half_tithi_index":8,"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":2076,"month":8,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479519.770833,"ahargana":1891054.2708,"kali_year":5178,"ayanamsa_lahiri":24.9229,"grahas":{"sun":{"sidereal_longitude":107.66416800000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":152.69296799999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false,"latitude":4.4939},"mars":{"sidereal_longitude":179.58106799999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":133.83256799999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":164.224468,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"venus":{"sidereal_longitude":61.05336799999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":237.97236799999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":62.8443,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":242.8443,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2076,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479519.770833,"kali_year":5178,"ahargana":1891054.2708,"sun":{"sidereal_longitude":106.9269,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":155.8202,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":48.8932,"elapsed_within_tithi_degrees":0.8932},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":155.8202,"elapsed_within_degrees":9.1535},"yoga":{"number":20,"name":"Śiva","sum_longitude":262.7471},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.494,"elongation":48.893},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.494,"opposition_distance":131.107}},"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":13.35557790281717,"dayLengthDisplay":"13 Hours 21 Mins 20 Secs","nightLengthDisplay":"10 Hours 38 Mins 40 Secs","moonriseLocal":"09:21","moonsetLocal":"21:30","rahuKala":{"name":"Rāhu Kāla","start":"15:45","end":"17:26","startHours":15.757212233438256,"endHours":17.426659471290403,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:05","end":"10:45","startHours":9.079423282029673,"endHours":10.748870519881818,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:25","end":"14:05","startHours":12.418317757733965,"endHours":14.087764995586111,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:18","startHours":8.85683031698272,"endHours":9.302016247076624,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:18","end":"06:39","startHours":6.297011218942761,"endHours":6.6531599630178855,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.973131827640058,"endHours":12.86350368782787,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:58","end":"04:51","startHours":3.9597850859497568,"endHours":4.8501569461375675,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:38","end":"05:44","startHours":4.627563981090615,"endHours":5.740528806325379,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:32","startHours":14.644247408203492,"endHours":15.534619268391303,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:54","end":"19:18","startHours":18.89610670914255,"endHours":19.29610670914255,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:06","end":"19:39","startHours":19.09610670914255,"endHours":19.65258912175993,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:51","end":"20:36","startHours":18.84610670914255,"endHours":20.59610670914255,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.97313182764006,"endHours":24.863503687827873,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:44","end":"07:25","startHours":5.740528806325379,"endHours":7.409976044177526,"quality":"inauspicious"},{"name":"Udveg","start":"07:25","end":"09:05","startHours":7.409976044177526,"endHours":9.079423282029673,"quality":"inauspicious"},{"name":"Chala","start":"09:05","end":"10:45","startHours":9.079423282029673,"endHours":10.748870519881818,"quality":"neutral"},{"name":"Labha","start":"10:45","end":"12:25","startHours":10.748870519881818,"endHours":12.418317757733965,"quality":"auspicious"},{"name":"Amṛta","start":"12:25","end":"14:05","startHours":12.418317757733965,"endHours":14.087764995586111,"quality":"auspicious"},{"name":"Kāla","start":"14:05","end":"15:45","startHours":14.087764995586111,"endHours":15.757212233438256,"quality":"inauspicious"},{"name":"Śubha","start":"15:45","end":"17:26","startHours":15.757212233438256,"endHours":17.426659471290403,"quality":"auspicious"},{"name":"Roga","start":"17:26","end":"19:06","startHours":17.426659471290403,"endHours":19.09610670914255,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:06","end":"20:26","startHours":19.09610670914255,"endHours":20.426659471290403,"quality":"inauspicious"},{"name":"Śubha","start":"20:26","end":"21:45","startHours":20.426659471290403,"endHours":21.757212233438256,"quality":"auspicious"},{"name":"Roga","start":"21:45","end":"23:05","startHours":21.757212233438256,"endHours":23.08776499558611,"quality":"inauspicious"},{"name":"Udveg","start":"23:05","end":"00:25","startHours":23.08776499558611,"endHours":24.418317757733966,"quality":"inauspicious"},{"name":"Chala","start":"00:25","end":"01:45","startHours":24.418317757733966,"endHours":25.74887051988182,"quality":"neutral"},{"name":"Labha","start":"01:45","end":"03:05","startHours":25.74887051988182,"endHours":27.079423282029673,"quality":"auspicious"},{"name":"Amṛta","start":"03:05","end":"04:25","startHours":27.079423282029673,"endHours":28.409976044177526,"quality":"auspicious"},{"name":"Kāla","start":"04:25","end":"05:44","startHours":28.409976044177526,"endHours":29.74052880632538,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:44","end":"06:44","startHours":5.740528806325379,"endHours":6.740528806325379,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:44","end":"07:44","startHours":6.740528806325379,"endHours":7.740528806325379,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:44","end":"08:44","startHours":7.740528806325379,"endHours":8.74052880632538,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:44","end":"09:44","startHours":8.74052880632538,"endHours":9.74052880632538,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:44","end":"10:44","startHours":9.74052880632538,"endHours":10.74052880632538,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:44","end":"11:44","startHours":10.74052880632538,"endHours":11.74052880632538,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:44","end":"12:44","startHours":11.74052880632538,"endHours":12.74052880632538,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:44","end":"13:44","startHours":12.74052880632538,"endHours":13.74052880632538,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:44","end":"14:44","startHours":13.74052880632538,"endHours":14.74052880632538,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:44","end":"15:44","startHours":14.74052880632538,"endHours":15.74052880632538,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:44","end":"16:44","startHours":15.74052880632538,"endHours":16.74052880632538,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:44","end":"17:44","startHours":16.74052880632538,"endHours":17.74052880632538,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:44","end":"18:44","startHours":17.74052880632538,"endHours":18.74052880632538,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:44","end":"19:44","startHours":18.74052880632538,"endHours":19.74052880632538,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:44","end":"20:44","startHours":19.74052880632538,"endHours":20.74052880632538,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:44","end":"21:44","startHours":20.74052880632538,"endHours":21.74052880632538,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:44","end":"22:44","startHours":21.74052880632538,"endHours":22.74052880632538,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:44","end":"23:44","startHours":22.74052880632538,"endHours":23.74052880632538,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:44","end":"00:44","startHours":23.74052880632538,"endHours":24.74052880632538,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:44","end":"01:44","startHours":24.74052880632538,"endHours":25.74052880632538,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:44","end":"02:44","startHours":25.74052880632538,"endHours":26.74052880632538,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:44","end":"03:44","startHours":26.74052880632538,"endHours":27.74052880632538,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:44","end":"04:44","startHours":27.74052880632538,"endHours":28.74052880632538,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:44","end":"05:44","startHours":28.74052880632538,"endHours":29.74052880632538,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Śubha","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":17.027487887058406,"eotMinutes":-5.793865464037833,"ayanamsa":24.9229}},"calendars":{"vikram_samvat":2133,"vikram_samvatsara":"Saumya","saka_samvat":1998,"saka_samvatsara":"Durmukhi","bengali_samvat":1483,"malayalam_era":1252,"nanakshahi_year":607,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pañcamī · Vikram 2133 Saumya · Śaka 1998 Durmukhi"},"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":"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":[]},"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, 2076 CE · Mathurā · Vidhyamitra","description":"August 4, 2076 CE for Mathurā: Śukla Pañcamī, sūryodaya 05:44, sūryāsta 19:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2076-08-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2076-08-04","sa":"https://sa.vidhyamitra.com/city/mathura/2076-08-04","hi":"https://hi.vidhyamitra.com/city/mathura/2076-08-04","x-default":"https://vidhyamitra.com/city/mathura/2076-08-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:31:09.598Z","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":"2026-05-14T18:31:09.598Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T18:31:09.598Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}