{"id":"vidhyamitra:city-day:mathura:1978-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1978-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1978-08-13","date_display":"August 13, 1978 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":1978,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2443733.770833,"kali_year":5080,"ahargana":1855268.2708,"sun":{"sidereal_longitude":115.8462,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":224.6883,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":108.8421,"elapsed_within_tithi_degrees":0.8421},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":224.6883,"elapsed_within_degrees":11.355},"yoga":{"number":26,"name":"Indra","sum_longitude":340.5345},"karana":{"half_tithi_index":18,"name":"Taitila"},"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":1978,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2443733.770833,"ahargana":1855268.2708,"kali_year":5080,"ayanamsa_lahiri":23.5542,"grahas":{"sun":{"sidereal_longitude":116.397357,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":221.871357,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false,"latitude":4.1016},"mars":{"sidereal_longitude":162.09815700000001,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":127.00305700000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":91.43105700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"venus":{"sidereal_longitude":161.97245699999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":128.432457,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":158.9588,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":338.9588,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":1978,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2443733.770833,"kali_year":5080,"ahargana":1855268.2708,"sun":{"sidereal_longitude":115.8462,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":224.6883,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":108.8421,"elapsed_within_tithi_degrees":0.8421},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":224.6883,"elapsed_within_degrees":11.355},"yoga":{"number":26,"name":"Indra","sum_longitude":340.5345},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.102,"elongation":108.842},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.102,"opposition_distance":71.158}},"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":"05:48","sunsetLocal":"18:59","solarNoonLocal":"12:24","dayLengthHours":13.186732248571607,"dayLengthDisplay":"13 Hours 11 Mins 12 Secs","nightLengthDisplay":"10 Hours 48 Mins 48 Secs","moonriseLocal":"14:09","moonsetLocal":"00:42","rahuKala":{"name":"Rāhu Kāla","start":"17:21","end":"18:59","startHours":17.34280327218461,"endHours":18.991144803256063,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:24","end":"14:03","startHours":12.397778678970258,"endHours":14.04612021004171,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:42","end":"17:21","startHours":15.69446174111316,"endHours":17.34280327218461,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:19","startHours":8.88131674601783,"endHours":9.320874487636885,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:21","end":"06:42","startHours":6.353859731708273,"endHours":6.705505925003515,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:50","startHours":11.958220937351205,"endHours":12.837336420589311,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:03","end":"04:56","startHours":4.046181588208242,"endHours":4.925297071446349,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:42","end":"05:48","startHours":4.705518200636822,"endHours":5.804412554684456,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:28","startHours":14.595567387065527,"endHours":15.474682870303635,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:47","end":"19:11","startHours":18.791144803256064,"endHours":19.191144803256062,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:59","end":"19:32","startHours":18.991144803256063,"endHours":19.54059198027988,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:44","end":"20:29","startHours":18.741144803256063,"endHours":20.491144803256063,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:50","startHours":23.958220937351204,"endHours":24.837336420589313,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:48","end":"07:27","startHours":5.804412554684456,"endHours":7.452754085755907,"quality":"inauspicious"},{"name":"Chala","start":"07:27","end":"09:06","startHours":7.452754085755907,"endHours":9.101095616827358,"quality":"neutral"},{"name":"Labha","start":"09:06","end":"10:45","startHours":9.101095616827358,"endHours":10.749437147898808,"quality":"auspicious"},{"name":"Amṛta","start":"10:45","end":"12:24","startHours":10.749437147898808,"endHours":12.397778678970258,"quality":"auspicious"},{"name":"Kāla","start":"12:24","end":"14:03","startHours":12.397778678970258,"endHours":14.04612021004171,"quality":"inauspicious"},{"name":"Śubha","start":"14:03","end":"15:42","startHours":14.04612021004171,"endHours":15.69446174111316,"quality":"auspicious"},{"name":"Roga","start":"15:42","end":"17:21","startHours":15.69446174111316,"endHours":17.34280327218461,"quality":"inauspicious"},{"name":"Udveg","start":"17:21","end":"18:59","startHours":17.34280327218461,"endHours":18.991144803256063,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:59","end":"20:21","startHours":18.991144803256063,"endHours":20.34280327218461,"quality":"auspicious"},{"name":"Roga","start":"20:21","end":"21:42","startHours":20.34280327218461,"endHours":21.694461741113162,"quality":"inauspicious"},{"name":"Udveg","start":"21:42","end":"23:03","startHours":21.694461741113162,"endHours":23.04612021004171,"quality":"inauspicious"},{"name":"Chala","start":"23:03","end":"00:24","startHours":23.04612021004171,"endHours":24.39777867897026,"quality":"neutral"},{"name":"Labha","start":"00:24","end":"01:45","startHours":24.39777867897026,"endHours":25.74943714789881,"quality":"auspicious"},{"name":"Amṛta","start":"01:45","end":"03:06","startHours":25.74943714789881,"endHours":27.101095616827358,"quality":"auspicious"},{"name":"Kāla","start":"03:06","end":"04:27","startHours":27.101095616827358,"endHours":28.452754085755906,"quality":"inauspicious"},{"name":"Śubha","start":"04:27","end":"05:48","startHours":28.452754085755906,"endHours":29.804412554684454,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:48","end":"06:48","startHours":5.804412554684456,"endHours":6.804412554684456,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:48","end":"07:48","startHours":6.804412554684456,"endHours":7.804412554684456,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:48","end":"08:48","startHours":7.804412554684456,"endHours":8.804412554684456,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:48","end":"09:48","startHours":8.804412554684456,"endHours":9.804412554684456,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:48","end":"10:48","startHours":9.804412554684456,"endHours":10.804412554684456,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:48","end":"11:48","startHours":10.804412554684456,"endHours":11.804412554684456,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:48","end":"12:48","startHours":11.804412554684456,"endHours":12.804412554684456,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:48","end":"13:48","startHours":12.804412554684456,"endHours":13.804412554684456,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:48","end":"14:48","startHours":13.804412554684456,"endHours":14.804412554684456,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:48","end":"15:48","startHours":14.804412554684456,"endHours":15.804412554684456,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:48","end":"16:48","startHours":15.804412554684456,"endHours":16.804412554684454,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:48","end":"17:48","startHours":16.804412554684454,"endHours":17.804412554684454,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:48","end":"18:48","startHours":17.804412554684454,"endHours":18.804412554684454,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:48","end":"19:48","startHours":18.804412554684454,"endHours":19.804412554684454,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:48","end":"20:48","startHours":19.804412554684454,"endHours":20.804412554684454,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:48","end":"21:48","startHours":20.804412554684454,"endHours":21.804412554684454,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:48","end":"22:48","startHours":21.804412554684454,"endHours":22.804412554684454,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:48","end":"23:48","startHours":22.804412554684454,"endHours":23.804412554684454,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:48","end":"00:48","startHours":23.804412554684454,"endHours":24.804412554684454,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:48","end":"01:48","startHours":24.804412554684454,"endHours":25.804412554684454,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:48","end":"02:48","startHours":25.804412554684454,"endHours":26.804412554684454,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:48","end":"03:48","startHours":26.804412554684454,"endHours":27.804412554684454,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:48","end":"04:48","startHours":27.804412554684454,"endHours":28.804412554684454,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:48","end":"05:48","startHours":28.804412554684454,"endHours":29.804412554684454,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"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":14.827810611306036,"eotMinutes":-4.561520738215509,"ayanamsa":23.5542}},"calendars":{"vikram_samvat":2035,"vikram_samvatsara":"Prajāpati","saka_samvat":1900,"saka_samvatsara":"Kālayukta","bengali_samvat":1385,"malayalam_era":1154,"nanakshahi_year":509,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Daśamī · Vikram 2035 Prajāpati · Śaka 1900 Kālayukta"},"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":"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 13, 1978 CE · Mathurā · Vidhyamitra","description":"August 13, 1978 CE for Mathurā: Śukla Daśamī, sūryodaya 05:48, sūryāsta 18:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1978-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1978-08-13","sa":"https://sa.vidhyamitra.com/city/mathura/1978-08-13","hi":"https://hi.vidhyamitra.com/city/mathura/1978-08-13","x-default":"https://vidhyamitra.com/city/mathura/1978-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T10:36:02.205Z","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":"2026-05-14T10:36:02.205Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T10:36:02.205Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}