{"id":"vidhyamitra:city-day:mathura:-3129-08-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3129-08-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3129-08-20","date_display":"August 20, 3130 BCE","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":-3129,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":578421.770833,"kali_year":-27,"ahargana":-10043.7292,"sun":{"sidereal_longitude":178.5519,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":134.0202,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":315.4683,"elapsed_within_tithi_degrees":3.4683},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":134.0202,"elapsed_within_degrees":0.6868},"yoga":{"number":24,"name":"Śukla","sum_longitude":312.572},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":-3129,"month":8,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":578421.770833,"ahargana":-10043.7292,"kali_year":-27,"ayanamsa_lahiri":-47.7869,"grahas":{"sun":{"sidereal_longitude":178.5519,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":134.0202,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false,"latitude":2.7777},"mars":{"sidereal_longitude":151.929,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":204.6274,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":231.5048,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":150.0817,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":21.0002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":352.1651,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":172.1651,"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":-3129,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":578421.770833,"kali_year":-27,"ahargana":-10043.7292,"sun":{"sidereal_longitude":178.5519,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":134.0202,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":315.4683,"elapsed_within_tithi_degrees":3.4683},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":134.0202,"elapsed_within_degrees":0.6868},"yoga":{"number":24,"name":"Śukla","sum_longitude":312.572},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.778,"elongation":44.532},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.778,"opposition_distance":135.468}},"eclipse_window_40days":[{"offset_days":-12,"type":"lunar","occurs":true,"moon_latitude":-0.412,"opposition_distance":0.866}]},"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":"05:41","sunsetLocal":"19:04","solarNoonLocal":"12:22","dayLengthHours":13.394976291700203,"dayLengthDisplay":"13 Hours 23 Mins 42 Secs","nightLengthDisplay":"10 Hours 36 Mins 18 Secs","moonriseLocal":"02:29","moonsetLocal":"16:19","rahuKala":{"name":"Rāhu Kāla","start":"09:01","end":"10:42","startHours":9.023842775583788,"endHours":10.698214812046313,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:03","end":"15:43","startHours":14.046958884971364,"endHours":15.72133092143389,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:41","end":"07:21","startHours":5.675098702658736,"endHours":7.349470739121261,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:48","end":"09:15","startHours":8.800593170722117,"endHours":9.247092380445457,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:14","end":"06:35","startHours":6.233222714812911,"endHours":6.590422082591583,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:49","startHours":11.926087638785498,"endHours":12.819086058232179,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:53","end":"04:47","startHours":3.8891018637653754,"endHours":4.782100283212055,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:34","end":"05:41","startHours":4.558850678350385,"endHours":5.675098702658736,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:30","startHours":14.605082897125538,"endHours":15.498081316572218,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:52","end":"19:16","startHours":18.87007499435894,"endHours":19.27007499435894,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:04","end":"19:38","startHours":19.07007499435894,"endHours":19.628199006513114,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:49","end":"20:34","startHours":18.82007499435894,"endHours":20.57007499435894,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:49","startHours":23.9260876387855,"endHours":24.819086058232177,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:41","end":"07:21","startHours":5.675098702658736,"endHours":7.349470739121261,"quality":"inauspicious"},{"name":"Śubha","start":"07:21","end":"09:01","startHours":7.349470739121261,"endHours":9.023842775583788,"quality":"auspicious"},{"name":"Roga","start":"09:01","end":"10:42","startHours":9.023842775583788,"endHours":10.698214812046313,"quality":"inauspicious"},{"name":"Udveg","start":"10:42","end":"12:22","startHours":10.698214812046313,"endHours":12.372586848508838,"quality":"inauspicious"},{"name":"Chala","start":"12:22","end":"14:03","startHours":12.372586848508838,"endHours":14.046958884971364,"quality":"neutral"},{"name":"Labha","start":"14:03","end":"15:43","startHours":14.046958884971364,"endHours":15.72133092143389,"quality":"auspicious"},{"name":"Amṛta","start":"15:43","end":"17:24","startHours":15.72133092143389,"endHours":17.395702957896415,"quality":"auspicious"},{"name":"Kāla","start":"17:24","end":"19:04","startHours":17.395702957896415,"endHours":19.07007499435894,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:04","end":"20:24","startHours":19.07007499435894,"endHours":20.395702957896415,"quality":"auspicious"},{"name":"Amṛta","start":"20:24","end":"21:43","startHours":20.395702957896415,"endHours":21.72133092143389,"quality":"auspicious"},{"name":"Kāla","start":"21:43","end":"23:03","startHours":21.72133092143389,"endHours":23.046958884971364,"quality":"inauspicious"},{"name":"Śubha","start":"23:03","end":"00:22","startHours":23.046958884971364,"endHours":24.37258684850884,"quality":"auspicious"},{"name":"Roga","start":"00:22","end":"01:42","startHours":24.37258684850884,"endHours":25.698214812046313,"quality":"inauspicious"},{"name":"Udveg","start":"01:42","end":"03:01","startHours":25.698214812046313,"endHours":27.023842775583788,"quality":"inauspicious"},{"name":"Chala","start":"03:01","end":"04:21","startHours":27.023842775583788,"endHours":28.349470739121262,"quality":"neutral"},{"name":"Labha","start":"04:21","end":"05:41","startHours":28.349470739121262,"endHours":29.675098702658737,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.675098702658736,"endHours":6.675098702658736,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.675098702658736,"endHours":7.675098702658736,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.675098702658736,"endHours":8.675098702658737,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.675098702658737,"endHours":9.675098702658737,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.675098702658737,"endHours":10.675098702658737,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.675098702658737,"endHours":11.675098702658737,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.675098702658737,"endHours":12.675098702658737,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.675098702658737,"endHours":13.675098702658737,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.675098702658737,"endHours":14.675098702658737,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.675098702658737,"endHours":15.675098702658737,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.675098702658737,"endHours":16.675098702658737,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.675098702658737,"endHours":17.675098702658737,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.675098702658737,"endHours":18.675098702658737,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.675098702658737,"endHours":19.675098702658737,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.675098702658737,"endHours":20.675098702658737,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.675098702658737,"endHours":21.675098702658737,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.675098702658737,"endHours":22.675098702658737,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.675098702658737,"endHours":23.675098702658737,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.675098702658737,"endHours":24.675098702658737,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.675098702658737,"endHours":25.675098702658737,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.675098702658737,"endHours":26.675098702658737,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.675098702658737,"endHours":27.675098702658737,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.675098702658737,"endHours":28.675098702658737,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.675098702658737,"endHours":29.675098702658737,"planetary_lord":"Mercury"}],"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","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":17.53210800404733,"eotMinutes":-3.0500109105302213,"ayanamsa":-47.7869}},"calendars":{"vikram_samvat":-3072,"saka_samvat":-3207,"bengali_samvat":-3722,"malayalam_era":-3953,"nanakshahi_year":-4598,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Dvādaśī · Vikram -3072 undefined · Śaka -3207 undefined"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"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 20, 3130 BCE · Mathurā · Vidhyamitra","description":"August 20, 3130 BCE for Mathurā: Kṛṣṇa Dvādaśī, sūryodaya 05:41, sūryāsta 19:04.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3129-08-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3129-08-20","sa":"https://sa.vidhyamitra.com/city/mathura/-3129-08-20","hi":"https://hi.vidhyamitra.com/city/mathura/-3129-08-20","x-default":"https://vidhyamitra.com/city/mathura/-3129-08-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T13:36:40.258Z","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":"2026-05-14T13:36:40.258Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T13:36:40.258Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}