{"id":"vidhyamitra:city-day:mathura:1969-08-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1969-08-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1969-08-07","date_display":"August 7, 1969 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":1969,"month":8,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2440440.770833,"kali_year":5071,"ahargana":1851975.2708,"sun":{"sidereal_longitude":110.4372,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":40.3973,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":289.9601,"elapsed_within_tithi_degrees":1.9601},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.3973,"elapsed_within_degrees":0.3973},"yoga":{"number":12,"name":"Dhruva","sum_longitude":150.8346},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":1969,"month":8,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2440440.770833,"ahargana":1851975.2708,"kali_year":5071,"ayanamsa_lahiri":23.4283,"grahas":{"sun":{"sidereal_longitude":110.935674,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":43.20057400000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false,"latitude":4.1404},"mars":{"sidereal_longitude":224.326374,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":126.73157400000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":160.71007399999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":71.31597399999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":15.851073999999983,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":333.4378,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":153.4378,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":1969,"month":8,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2440440.770833,"kali_year":5071,"ahargana":1851975.2708,"sun":{"sidereal_longitude":110.4372,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":40.3973,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":289.9601,"elapsed_within_tithi_degrees":1.9601},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.3973,"elapsed_within_degrees":0.3973},"yoga":{"number":12,"name":"Dhruva","sum_longitude":150.8346},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.14,"elongation":70.04},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.14,"opposition_distance":109.96}},"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":13.316187873713229,"dayLengthDisplay":"13 Hours 18 Mins 58 Secs","nightLengthDisplay":"10 Hours 41 Mins 02 Secs","moonriseLocal":"01:04","moonsetLocal":"14:44","rahuKala":{"name":"Rāhu Kāla","start":"14:05","end":"15:45","startHours":14.077541747799582,"endHours":15.742065232013733,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:45","end":"07:25","startHours":5.754924326728813,"endHours":7.419447810942966,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:05","end":"10:45","startHours":9.08397129515712,"endHours":10.748494779371274,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:52","end":"09:18","startHours":8.862034830595233,"endHours":9.305907759719007,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:19","end":"06:40","startHours":6.3097654881335306,"endHours":6.66486383143255,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:51","startHours":11.969145334461652,"endHours":12.8568911927092,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:59","end":"04:52","startHours":3.9794326102337156,"endHours":4.8671784684812645,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:39","end":"05:45","startHours":4.645242003919377,"endHours":5.754924326728813,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:31","startHours":14.6323829092043,"endHours":15.520128767451848,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:52","end":"19:16","startHours":18.87111220044204,"endHours":19.27111220044204,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:04","end":"19:38","startHours":19.07111220044204,"endHours":19.625953361846758,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:49","end":"20:34","startHours":18.82111220044204,"endHours":20.57111220044204,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:51","startHours":23.969145334461654,"endHours":24.856891192709202,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:45","end":"07:25","startHours":5.754924326728813,"endHours":7.419447810942966,"quality":"auspicious"},{"name":"Roga","start":"07:25","end":"09:05","startHours":7.419447810942966,"endHours":9.08397129515712,"quality":"inauspicious"},{"name":"Udveg","start":"09:05","end":"10:45","startHours":9.08397129515712,"endHours":10.748494779371274,"quality":"inauspicious"},{"name":"Chala","start":"10:45","end":"12:25","startHours":10.748494779371274,"endHours":12.413018263585428,"quality":"neutral"},{"name":"Labha","start":"12:25","end":"14:05","startHours":12.413018263585428,"endHours":14.077541747799582,"quality":"auspicious"},{"name":"Amṛta","start":"14:05","end":"15:45","startHours":14.077541747799582,"endHours":15.742065232013733,"quality":"auspicious"},{"name":"Kāla","start":"15:45","end":"17:24","startHours":15.742065232013733,"endHours":17.406588716227887,"quality":"inauspicious"},{"name":"Śubha","start":"17:24","end":"19:04","startHours":17.406588716227887,"endHours":19.07111220044204,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:04","end":"20:24","startHours":19.07111220044204,"endHours":20.406588716227887,"quality":"auspicious"},{"name":"Kāla","start":"20:24","end":"21:45","startHours":20.406588716227887,"endHours":21.742065232013733,"quality":"inauspicious"},{"name":"Śubha","start":"21:45","end":"23:05","startHours":21.742065232013733,"endHours":23.07754174779958,"quality":"auspicious"},{"name":"Roga","start":"23:05","end":"00:25","startHours":23.07754174779958,"endHours":24.41301826358543,"quality":"inauspicious"},{"name":"Udveg","start":"00:25","end":"01:45","startHours":24.41301826358543,"endHours":25.74849477937127,"quality":"inauspicious"},{"name":"Chala","start":"01:45","end":"03:05","startHours":25.74849477937127,"endHours":27.08397129515712,"quality":"neutral"},{"name":"Labha","start":"03:05","end":"04:25","startHours":27.08397129515712,"endHours":28.419447810942966,"quality":"auspicious"},{"name":"Amṛta","start":"04:25","end":"05:45","startHours":28.419447810942966,"endHours":29.754924326728812,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:45","end":"06:45","startHours":5.754924326728813,"endHours":6.754924326728813,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:45","end":"07:45","startHours":6.754924326728813,"endHours":7.754924326728813,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:45","end":"08:45","startHours":7.754924326728813,"endHours":8.754924326728812,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:45","end":"09:45","startHours":8.754924326728812,"endHours":9.754924326728812,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:45","end":"10:45","startHours":9.754924326728812,"endHours":10.754924326728812,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:45","end":"11:45","startHours":10.754924326728812,"endHours":11.754924326728812,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:45","end":"12:45","startHours":11.754924326728812,"endHours":12.754924326728812,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:45","end":"13:45","startHours":12.754924326728812,"endHours":13.754924326728812,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:45","end":"14:45","startHours":13.754924326728812,"endHours":14.754924326728812,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:45","end":"15:45","startHours":14.754924326728812,"endHours":15.754924326728812,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:45","end":"16:45","startHours":15.754924326728812,"endHours":16.754924326728812,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:45","end":"17:45","startHours":16.754924326728812,"endHours":17.754924326728812,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:45","end":"18:45","startHours":17.754924326728812,"endHours":18.754924326728812,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:45","end":"19:45","startHours":18.754924326728812,"endHours":19.754924326728812,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:45","end":"20:45","startHours":19.754924326728812,"endHours":20.754924326728812,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:45","end":"21:45","startHours":20.754924326728812,"endHours":21.754924326728812,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:45","end":"22:45","startHours":21.754924326728812,"endHours":22.754924326728812,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:45","end":"23:45","startHours":22.754924326728812,"endHours":23.754924326728812,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:45","end":"00:45","startHours":23.754924326728812,"endHours":24.754924326728812,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:45","end":"01:45","startHours":24.754924326728812,"endHours":25.754924326728812,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:45","end":"02:45","startHours":25.754924326728812,"endHours":26.754924326728812,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:45","end":"03:45","startHours":26.754924326728812,"endHours":27.754924326728812,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:45","end":"04:45","startHours":27.754924326728812,"endHours":28.754924326728812,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:45","end":"05:45","startHours":28.754924326728812,"endHours":29.754924326728812,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","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":16.519634044381526,"eotMinutes":-5.475895815125568,"ayanamsa":23.4283}},"calendars":{"vikram_samvat":2026,"vikram_samvatsara":"Dundubhi","saka_samvat":1891,"saka_samvatsara":"Saumya","bengali_samvat":1376,"malayalam_era":1145,"nanakshahi_year":500,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Daśamī · Vikram 2026 Dundubhi · Śaka 1891 Saumya"},"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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","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 August 7, 1969 CE · Mathurā · Vidhyamitra","description":"August 7, 1969 CE for Mathurā: Kṛṣṇa Daśamī, sūryodaya 05:45, sūryāsta 19:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1969-08-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1969-08-07","sa":"https://sa.vidhyamitra.com/city/mathura/1969-08-07","hi":"https://hi.vidhyamitra.com/city/mathura/1969-08-07","x-default":"https://vidhyamitra.com/city/mathura/1969-08-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:59:43.002Z","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":"2026-05-14T14:59:43.002Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:59:43.002Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}