{"id":"vidhyamitra:city-day:mathura:1968-08-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1968-08-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1968-08-06","date_display":"August 6, 1968 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":1968,"month":8,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2440074.770833,"kali_year":5070,"ahargana":1851609.2708,"sun":{"sidereal_longitude":109.7311,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":259.0182,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":149.2871,"elapsed_within_tithi_degrees":5.2871},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":259.0182,"elapsed_within_degrees":5.6849},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":8.7494},"karana":{"half_tithi_index":24,"name":"Kaulava"},"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":1968,"month":8,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2440074.770833,"ahargana":1851609.2708,"kali_year":5070,"ayanamsa_lahiri":23.4143,"grahas":{"sun":{"sidereal_longitude":110.22325699999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":257.5358570000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false,"latitude":-4.49},"mars":{"sidereal_longitude":97.212357,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":109.09545700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":136.24865699999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":123.523957,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":2.7079570000000217,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":352.8303,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":172.8303,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"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":1968,"month":8,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2440074.770833,"kali_year":5070,"ahargana":1851609.2708,"sun":{"sidereal_longitude":109.7311,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":259.0182,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":149.2871,"elapsed_within_tithi_degrees":5.2871},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2,"moon_longitude":259.0182,"elapsed_within_degrees":5.6849},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":8.7494},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.49,"elongation":149.287},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.49,"opposition_distance":30.713}},"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":"19:05","solarNoonLocal":"12:25","dayLengthHours":13.332402649376732,"dayLengthDisplay":"13 Hours 19 Mins 57 Secs","nightLengthDisplay":"10 Hours 40 Mins 03 Secs","moonriseLocal":"17:02","moonsetLocal":"03:26","rahuKala":{"name":"Rāhu Kāla","start":"15:45","end":"17:25","startHours":15.748059414494609,"endHours":17.4146097456667,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:05","end":"10:45","startHours":9.081858089806243,"endHours":10.748408420978333,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:25","end":"14:05","startHours":12.414958752150426,"endHours":14.081509083322516,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:52","end":"09:18","startHours":8.859651378983298,"endHours":9.304064800629188,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:18","end":"06:40","startHours":6.304274204519423,"endHours":6.659804941836136,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.970545330504535,"endHours":12.859372173796316,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:58","end":"04:52","startHours":3.971103740878495,"endHours":4.859930584170277,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:38","end":"05:45","startHours":4.637723873347332,"endHours":5.748757427462059,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:32","startHours":14.637025860379882,"endHours":15.525852703671665,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:53","end":"19:17","startHours":18.881160076838793,"endHours":19.28116007683879,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:05","end":"19:38","startHours":19.081160076838792,"endHours":19.636676853896155,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:50","end":"20:35","startHours":18.831160076838792,"endHours":20.581160076838792,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.970545330504535,"endHours":24.859372173796316,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:45","end":"07:25","startHours":5.748757427462059,"endHours":7.4153077586341505,"quality":"inauspicious"},{"name":"Udveg","start":"07:25","end":"09:05","startHours":7.4153077586341505,"endHours":9.081858089806243,"quality":"inauspicious"},{"name":"Chala","start":"09:05","end":"10:45","startHours":9.081858089806243,"endHours":10.748408420978333,"quality":"neutral"},{"name":"Labha","start":"10:45","end":"12:25","startHours":10.748408420978333,"endHours":12.414958752150426,"quality":"auspicious"},{"name":"Amṛta","start":"12:25","end":"14:05","startHours":12.414958752150426,"endHours":14.081509083322516,"quality":"auspicious"},{"name":"Kāla","start":"14:05","end":"15:45","startHours":14.081509083322516,"endHours":15.748059414494609,"quality":"inauspicious"},{"name":"Śubha","start":"15:45","end":"17:25","startHours":15.748059414494609,"endHours":17.4146097456667,"quality":"auspicious"},{"name":"Roga","start":"17:25","end":"19:05","startHours":17.4146097456667,"endHours":19.081160076838792,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:05","end":"20:25","startHours":19.081160076838792,"endHours":20.414609745666702,"quality":"inauspicious"},{"name":"Śubha","start":"20:25","end":"21:45","startHours":20.414609745666702,"endHours":21.74805941449461,"quality":"auspicious"},{"name":"Roga","start":"21:45","end":"23:05","startHours":21.74805941449461,"endHours":23.081509083322516,"quality":"inauspicious"},{"name":"Udveg","start":"23:05","end":"00:25","startHours":23.081509083322516,"endHours":24.414958752150426,"quality":"inauspicious"},{"name":"Chala","start":"00:25","end":"01:45","startHours":24.414958752150426,"endHours":25.748408420978336,"quality":"neutral"},{"name":"Labha","start":"01:45","end":"03:05","startHours":25.748408420978336,"endHours":27.081858089806243,"quality":"auspicious"},{"name":"Amṛta","start":"03:05","end":"04:25","startHours":27.081858089806243,"endHours":28.41530775863415,"quality":"auspicious"},{"name":"Kāla","start":"04:25","end":"05:45","startHours":28.41530775863415,"endHours":29.74875742746206,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:45","end":"06:45","startHours":5.748757427462059,"endHours":6.748757427462059,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:45","end":"07:45","startHours":6.748757427462059,"endHours":7.748757427462059,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:45","end":"08:45","startHours":7.748757427462059,"endHours":8.74875742746206,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:45","end":"09:45","startHours":8.74875742746206,"endHours":9.74875742746206,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:45","end":"10:45","startHours":9.74875742746206,"endHours":10.74875742746206,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:45","end":"11:45","startHours":10.74875742746206,"endHours":11.74875742746206,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:45","end":"12:45","startHours":11.74875742746206,"endHours":12.74875742746206,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:45","end":"13:45","startHours":12.74875742746206,"endHours":13.74875742746206,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:45","end":"14:45","startHours":13.74875742746206,"endHours":14.74875742746206,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:45","end":"15:45","startHours":14.74875742746206,"endHours":15.74875742746206,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:45","end":"16:45","startHours":15.74875742746206,"endHours":16.74875742746206,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:45","end":"17:45","startHours":16.74875742746206,"endHours":17.74875742746206,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:45","end":"18:45","startHours":17.74875742746206,"endHours":18.74875742746206,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:45","end":"19:45","startHours":18.74875742746206,"endHours":19.74875742746206,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:45","end":"20:45","startHours":19.74875742746206,"endHours":20.74875742746206,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:45","end":"21:45","startHours":20.74875742746206,"endHours":21.74875742746206,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:45","end":"22:45","startHours":21.74875742746206,"endHours":22.74875742746206,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:45","end":"23:45","startHours":22.74875742746206,"endHours":23.74875742746206,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:45","end":"00:45","startHours":23.74875742746206,"endHours":24.74875742746206,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:45","end":"01:45","startHours":24.74875742746206,"endHours":25.74875742746206,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:45","end":"02:45","startHours":25.74875742746206,"endHours":26.74875742746206,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:45","end":"03:45","startHours":26.74875742746206,"endHours":27.74875742746206,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:45","end":"04:45","startHours":27.74875742746206,"endHours":28.74875742746206,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:45","end":"05:45","startHours":28.74875742746206,"endHours":29.74875742746206,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"North","anandadiYoga":{"name":"Dhātṛ","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":16.729091115730004,"eotMinutes":-5.592325129025582,"ayanamsa":23.4143}},"calendars":{"vikram_samvat":2025,"vikram_samvatsara":"Durmati","saka_samvat":1890,"saka_samvatsara":"Kīlaka","bengali_samvat":1375,"malayalam_era":1144,"nanakshahi_year":499,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Trayodaśī · Vikram 2025 Durmati · Śaka 1890 Kīlaka"},"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":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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, 1968 CE · Mathurā · Vidhyamitra","description":"August 6, 1968 CE for Mathurā: Śukla Trayodaśī, sūryodaya 05:45, sūryāsta 19:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1968-08-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1968-08-06","sa":"https://sa.vidhyamitra.com/city/mathura/1968-08-06","hi":"https://hi.vidhyamitra.com/city/mathura/1968-08-06","x-default":"https://vidhyamitra.com/city/mathura/1968-08-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:40:33.375Z","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":"2026-05-14T17:40:33.375Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:40:33.375Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}