{"id":"vidhyamitra:city-day:mathura:1965-08-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1965-08-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1965-08-01","date_display":"August 1, 1965 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":1965,"month":8,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438973.770833,"kali_year":5067,"ahargana":1850508.2708,"sun":{"sidereal_longitude":104.7602,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":152.2127,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":47.4525,"elapsed_within_tithi_degrees":11.4525},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":152.2127,"elapsed_within_degrees":5.5461},"yoga":{"number":20,"name":"Śiva","sum_longitude":256.9729},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1965,"month":8,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438973.770833,"ahargana":1850508.2708,"kali_year":5067,"ayanamsa_lahiri":23.3722,"grahas":{"sun":{"sidereal_longitude":105.21532400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":154.89732400000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false,"latitude":4.4165},"mars":{"sidereal_longitude":175.20622400000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":127.26912400000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":59.77972399999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":134.88412400000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":323.636624,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":51.1665,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":231.1665,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":1965,"month":8,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438973.770833,"kali_year":5067,"ahargana":1850508.2708,"sun":{"sidereal_longitude":104.7602,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":152.2127,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":47.4525,"elapsed_within_tithi_degrees":11.4525},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":152.2127,"elapsed_within_degrees":5.5461},"yoga":{"number":20,"name":"Śiva","sum_longitude":256.9729},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.416,"elongation":47.453},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.416,"opposition_distance":132.547}},"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":"05:42","sunsetLocal":"19:09","solarNoonLocal":"12:25","dayLengthHours":13.440652705359717,"dayLengthDisplay":"13 Hours 26 Mins 26 Secs","nightLengthDisplay":"10 Hours 33 Mins 34 Secs","moonriseLocal":"09:40","moonsetLocal":"21:48","rahuKala":{"name":"Rāhu Kāla","start":"17:28","end":"19:09","startHours":17.462292595621733,"endHours":19.1423741837917,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:25","end":"14:06","startHours":12.42204783111184,"endHours":14.102129419281805,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:47","end":"17:28","startHours":15.782211007451771,"endHours":17.462292595621733,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:17","startHours":8.83787377634925,"endHours":9.285895533194573,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:16","end":"06:37","startHours":6.261748674488637,"endHours":6.620166079964896,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.974026074266517,"endHours":12.870069587957163,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:55","end":"04:48","startHours":3.909634451050686,"endHours":4.805677964741334,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:35","end":"05:42","startHours":4.581667086318673,"endHours":5.701721478431982,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:33","startHours":14.66215661533846,"endHours":15.558200129029109,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:57","end":"19:21","startHours":18.9423741837917,"endHours":19.342374183791698,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:09","end":"19:42","startHours":19.1423741837917,"endHours":19.702401379848354,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:54","end":"20:39","startHours":18.8923741837917,"endHours":20.6423741837917,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.974026074266515,"endHours":24.870069587957165,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:42","end":"07:23","startHours":5.701721478431982,"endHours":7.381803066601947,"quality":"inauspicious"},{"name":"Chala","start":"07:23","end":"09:04","startHours":7.381803066601947,"endHours":9.061884654771912,"quality":"neutral"},{"name":"Labha","start":"09:04","end":"10:45","startHours":9.061884654771912,"endHours":10.741966242941876,"quality":"auspicious"},{"name":"Amṛta","start":"10:45","end":"12:25","startHours":10.741966242941876,"endHours":12.42204783111184,"quality":"auspicious"},{"name":"Kāla","start":"12:25","end":"14:06","startHours":12.42204783111184,"endHours":14.102129419281805,"quality":"inauspicious"},{"name":"Śubha","start":"14:06","end":"15:47","startHours":14.102129419281805,"endHours":15.782211007451771,"quality":"auspicious"},{"name":"Roga","start":"15:47","end":"17:28","startHours":15.782211007451771,"endHours":17.462292595621733,"quality":"inauspicious"},{"name":"Udveg","start":"17:28","end":"19:09","startHours":17.462292595621733,"endHours":19.1423741837917,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:09","end":"20:28","startHours":19.1423741837917,"endHours":20.462292595621733,"quality":"auspicious"},{"name":"Roga","start":"20:28","end":"21:47","startHours":20.462292595621733,"endHours":21.78221100745177,"quality":"inauspicious"},{"name":"Udveg","start":"21:47","end":"23:06","startHours":21.78221100745177,"endHours":23.102129419281805,"quality":"inauspicious"},{"name":"Chala","start":"23:06","end":"00:25","startHours":23.102129419281805,"endHours":24.42204783111184,"quality":"neutral"},{"name":"Labha","start":"00:25","end":"01:45","startHours":24.42204783111184,"endHours":25.741966242941874,"quality":"auspicious"},{"name":"Amṛta","start":"01:45","end":"03:04","startHours":25.741966242941874,"endHours":27.06188465477191,"quality":"auspicious"},{"name":"Kāla","start":"03:04","end":"04:23","startHours":27.06188465477191,"endHours":28.381803066601947,"quality":"inauspicious"},{"name":"Śubha","start":"04:23","end":"05:42","startHours":28.381803066601947,"endHours":29.70172147843198,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:42","end":"06:42","startHours":5.701721478431982,"endHours":6.701721478431982,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:42","end":"07:42","startHours":6.701721478431982,"endHours":7.701721478431982,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:42","end":"08:42","startHours":7.701721478431982,"endHours":8.701721478431981,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:42","end":"09:42","startHours":8.701721478431981,"endHours":9.701721478431981,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:42","end":"10:42","startHours":9.701721478431981,"endHours":10.701721478431981,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:42","end":"11:42","startHours":10.701721478431981,"endHours":11.701721478431981,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:42","end":"12:42","startHours":11.701721478431981,"endHours":12.701721478431981,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:42","end":"13:42","startHours":12.701721478431981,"endHours":13.701721478431981,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:42","end":"14:42","startHours":13.701721478431981,"endHours":14.701721478431981,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:42","end":"15:42","startHours":14.701721478431981,"endHours":15.701721478431981,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:42","end":"16:42","startHours":15.701721478431981,"endHours":16.70172147843198,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:42","end":"17:42","startHours":16.70172147843198,"endHours":17.70172147843198,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:42","end":"18:42","startHours":17.70172147843198,"endHours":18.70172147843198,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:42","end":"19:42","startHours":18.70172147843198,"endHours":19.70172147843198,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:42","end":"20:42","startHours":19.70172147843198,"endHours":20.70172147843198,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:42","end":"21:42","startHours":20.70172147843198,"endHours":21.70172147843198,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:42","end":"22:42","startHours":21.70172147843198,"endHours":22.70172147843198,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:42","end":"23:42","startHours":22.70172147843198,"endHours":23.70172147843198,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:42","end":"00:42","startHours":23.70172147843198,"endHours":24.70172147843198,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:42","end":"01:42","startHours":24.70172147843198,"endHours":25.70172147843198,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:42","end":"02:42","startHours":25.70172147843198,"endHours":26.70172147843198,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:42","end":"03:42","startHours":26.70172147843198,"endHours":27.70172147843198,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:42","end":"04:42","startHours":27.70172147843198,"endHours":28.70172147843198,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:42","end":"05:42","startHours":28.70172147843198,"endHours":29.70172147843198,"planetary_lord":"Jupiter"}],"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":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","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":18.11287931087649,"eotMinutes":-6.017669866710306,"ayanamsa":23.3722}},"calendars":{"vikram_samvat":2022,"vikram_samvatsara":"Kālayukta","saka_samvat":1887,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1372,"malayalam_era":1141,"nanakshahi_year":496,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Caturthī · Vikram 2022 Kālayukta · Śaka 1887 Viśvāvasu"},"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":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 1, 1965 CE · Mathurā · Vidhyamitra","description":"August 1, 1965 CE for Mathurā: Śukla Caturthī, sūryodaya 05:42, sūryāsta 19:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1965-08-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1965-08-01","sa":"https://sa.vidhyamitra.com/city/mathura/1965-08-01","hi":"https://hi.vidhyamitra.com/city/mathura/1965-08-01","x-default":"https://vidhyamitra.com/city/mathura/1965-08-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:07:46.647Z","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":"2026-05-14T12:07:46.647Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:07:46.647Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}