{"id":"vidhyamitra:city-day:mathura:2069-08-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2069-08-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2069-08-06","date_display":"August 6, 2069 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":2069,"month":8,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2476964.770833,"kali_year":5171,"ahargana":1888499.2708,"sun":{"sidereal_longitude":108.6509,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":327.0039,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.353,"elapsed_within_tithi_degrees":2.353},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":327.0039,"elapsed_within_degrees":7.0039},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":75.6548},"karana":{"half_tithi_index":36,"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":2069,"month":8,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2476964.770833,"ahargana":1888499.2708,"kali_year":5171,"ayanamsa_lahiri":24.8252,"grahas":{"sun":{"sidereal_longitude":109.38148799999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":329.166688,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false,"latitude":3.5064},"mars":{"sidereal_longitude":22.031488000000024,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":135.431088,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":326.37938800000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":145.53008799999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":157.95908800000007,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":198.2205,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":18.2205,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2069,"month":8,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2476964.770833,"kali_year":5171,"ahargana":1888499.2708,"sun":{"sidereal_longitude":108.6509,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":327.0039,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.353,"elapsed_within_tithi_degrees":2.353},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":327.0039,"elapsed_within_degrees":7.0039},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":75.6548},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.506,"elongation":141.647},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.506,"opposition_distance":38.353}},"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":"05:45","sunsetLocal":"19:04","solarNoonLocal":"12:25","dayLengthHours":13.319711605623297,"dayLengthDisplay":"13 Hours 19 Mins 11 Secs","nightLengthDisplay":"10 Hours 40 Mins 49 Secs","moonriseLocal":"21:06","moonsetLocal":"09:02","rahuKala":{"name":"Rāhu Kāla","start":"15:45","end":"17:25","startHours":15.74488665355625,"endHours":17.409850604259162,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:05","end":"10:45","startHours":9.085030850744602,"endHours":10.749994801447514,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:25","end":"14:05","startHours":12.414958752150426,"endHours":14.079922702853338,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:52","end":"09:18","startHours":8.863035657317548,"endHours":9.307026044171657,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:19","end":"06:40","startHours":6.310090932906416,"endHours":6.6652832423897035,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.970968365296317,"endHours":12.858949139004535,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:59","end":"04:52","startHours":3.9791414019223383,"endHours":4.867122175630558,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:39","end":"05:45","startHours":4.645126982203504,"endHours":5.755102949338778,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:31","startHours":14.634910686420977,"endHours":15.522891460129197,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:52","end":"19:16","startHours":18.874814554962075,"endHours":19.274814554962074,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:04","end":"19:38","startHours":19.074814554962074,"endHours":19.629802538529713,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:49","end":"20:34","startHours":18.824814554962074,"endHours":20.574814554962074,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.970968365296315,"endHours":24.858949139004537,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:45","end":"07:25","startHours":5.755102949338778,"endHours":7.42006690004169,"quality":"inauspicious"},{"name":"Udveg","start":"07:25","end":"09:05","startHours":7.42006690004169,"endHours":9.085030850744602,"quality":"inauspicious"},{"name":"Chala","start":"09:05","end":"10:45","startHours":9.085030850744602,"endHours":10.749994801447514,"quality":"neutral"},{"name":"Labha","start":"10:45","end":"12:25","startHours":10.749994801447514,"endHours":12.414958752150426,"quality":"auspicious"},{"name":"Amṛta","start":"12:25","end":"14:05","startHours":12.414958752150426,"endHours":14.079922702853338,"quality":"auspicious"},{"name":"Kāla","start":"14:05","end":"15:45","startHours":14.079922702853338,"endHours":15.74488665355625,"quality":"inauspicious"},{"name":"Śubha","start":"15:45","end":"17:25","startHours":15.74488665355625,"endHours":17.409850604259162,"quality":"auspicious"},{"name":"Roga","start":"17:25","end":"19:04","startHours":17.409850604259162,"endHours":19.074814554962074,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:04","end":"20:25","startHours":19.074814554962074,"endHours":20.409850604259162,"quality":"inauspicious"},{"name":"Śubha","start":"20:25","end":"21:45","startHours":20.409850604259162,"endHours":21.74488665355625,"quality":"auspicious"},{"name":"Roga","start":"21:45","end":"23:05","startHours":21.74488665355625,"endHours":23.079922702853338,"quality":"inauspicious"},{"name":"Udveg","start":"23:05","end":"00:25","startHours":23.079922702853338,"endHours":24.414958752150426,"quality":"inauspicious"},{"name":"Chala","start":"00:25","end":"01:45","startHours":24.414958752150426,"endHours":25.749994801447514,"quality":"neutral"},{"name":"Labha","start":"01:45","end":"03:05","startHours":25.749994801447514,"endHours":27.0850308507446,"quality":"auspicious"},{"name":"Amṛta","start":"03:05","end":"04:25","startHours":27.0850308507446,"endHours":28.42006690004169,"quality":"auspicious"},{"name":"Kāla","start":"04:25","end":"05:45","startHours":28.42006690004169,"endHours":29.755102949338777,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:45","end":"06:45","startHours":5.755102949338778,"endHours":6.755102949338778,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:45","end":"07:45","startHours":6.755102949338778,"endHours":7.755102949338778,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:45","end":"08:45","startHours":7.755102949338778,"endHours":8.755102949338777,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:45","end":"09:45","startHours":8.755102949338777,"endHours":9.755102949338777,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:45","end":"10:45","startHours":9.755102949338777,"endHours":10.755102949338777,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:45","end":"11:45","startHours":10.755102949338777,"endHours":11.755102949338777,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:45","end":"12:45","startHours":11.755102949338777,"endHours":12.755102949338777,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:45","end":"13:45","startHours":12.755102949338777,"endHours":13.755102949338777,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:45","end":"14:45","startHours":13.755102949338777,"endHours":14.755102949338777,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:45","end":"15:45","startHours":14.755102949338777,"endHours":15.755102949338777,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:45","end":"16:45","startHours":15.755102949338777,"endHours":16.755102949338777,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:45","end":"17:45","startHours":16.755102949338777,"endHours":17.755102949338777,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:45","end":"18:45","startHours":17.755102949338777,"endHours":18.755102949338777,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:45","end":"19:45","startHours":18.755102949338777,"endHours":19.755102949338777,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:45","end":"20:45","startHours":19.755102949338777,"endHours":20.755102949338777,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:45","end":"21:45","startHours":20.755102949338777,"endHours":21.755102949338777,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:45","end":"22:45","startHours":21.755102949338777,"endHours":22.755102949338777,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:45","end":"23:45","startHours":22.755102949338777,"endHours":23.755102949338777,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:45","end":"00:45","startHours":23.755102949338777,"endHours":24.755102949338777,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:45","end":"01:45","startHours":24.755102949338777,"endHours":25.755102949338777,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:45","end":"02:45","startHours":25.755102949338777,"endHours":26.755102949338777,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:45","end":"03:45","startHours":26.755102949338777,"endHours":27.755102949338777,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:45","end":"04:45","startHours":27.755102949338777,"endHours":28.755102949338777,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:45","end":"05:45","startHours":28.755102949338777,"endHours":29.755102949338777,"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","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Saumya","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":16.565199860123904,"eotMinutes":-5.592325129025582,"ayanamsa":24.8252}},"calendars":{"vikram_samvat":2126,"vikram_samvatsara":"Śubhakṛt","saka_samvat":1991,"saka_samvatsara":"Virodhi","bengali_samvat":1476,"malayalam_era":1245,"nanakshahi_year":600,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Caturthī · Vikram 2126 Śubhakṛt · Śaka 1991 Virodhi"},"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":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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 6, 2069 CE · Mathurā · Vidhyamitra","description":"August 6, 2069 CE for Mathurā: Kṛṣṇa Caturthī, sūryodaya 05:45, sūryāsta 19:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2069-08-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2069-08-06","sa":"https://sa.vidhyamitra.com/city/mathura/2069-08-06","hi":"https://hi.vidhyamitra.com/city/mathura/2069-08-06","x-default":"https://vidhyamitra.com/city/mathura/2069-08-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T13:36:12.238Z","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":"2026-05-14T13:36:12.238Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T13:36:12.238Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}