{"id":"vidhyamitra:city-day:mathura:2076-08-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2076-08-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2076-08-29","date_display":"August 29, 2076 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":2076,"month":8,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479544.770833,"kali_year":5178,"ahargana":1891079.2708,"sun":{"sidereal_longitude":130.836,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":125.5683,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":354.7323,"elapsed_within_tithi_degrees":6.7323},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":125.5683,"elapsed_within_degrees":5.5683},"yoga":{"number":20,"name":"Śiva","sum_longitude":256.4043},"karana":{"half_tithi_index":59,"name":"Nāga"},"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":2076,"month":8,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479544.770833,"ahargana":1891079.2708,"kali_year":5178,"ayanamsa_lahiri":24.9239,"grahas":{"sun":{"sidereal_longitude":131.696213,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":125.81701299999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false,"latitude":4.0454},"mars":{"sidereal_longitude":194.99331299999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":132.688713,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":168.616313,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"venus":{"sidereal_longitude":87.57561299999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":237.571413,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":61.5197,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":241.5197,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"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":2076,"month":8,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479544.770833,"kali_year":5178,"ahargana":1891079.2708,"sun":{"sidereal_longitude":130.836,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":125.5683,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":354.7323,"elapsed_within_tithi_degrees":6.7323},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":125.5683,"elapsed_within_degrees":5.5683},"yoga":{"number":20,"name":"Śiva","sum_longitude":256.4043},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.045,"elongation":5.268},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.045,"opposition_distance":174.732}},"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":"05:57","sunsetLocal":"18:43","solarNoonLocal":"12:20","dayLengthHours":12.763488426621429,"dayLengthDisplay":"12 Hours 45 Mins 49 Secs","nightLengthDisplay":"11 Hours 14 Mins 11 Secs","moonriseLocal":"05:30","moonsetLocal":"18:23","rahuKala":{"name":"Rāhu Kāla","start":"09:08","end":"10:44","startHours":9.139181261070245,"endHours":10.734617314397923,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:56","end":"15:31","startHours":13.92548942105328,"endHours":15.52092547438096,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:57","end":"07:33","startHours":5.948309154414887,"endHours":7.543745207742566,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.926456453959887,"endHours":9.351906068180602,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:49","startHours":6.48012117219078,"endHours":6.820480863567352,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:45","startHours":11.904603753504887,"endHours":12.755502981946314,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:15","end":"05:06","startHours":4.24651069753203,"endHours":5.097409925973459,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:53","end":"05:57","startHours":4.884685118863102,"endHours":5.948309154414887,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:18","startHours":14.457301438829173,"endHours":15.308200667270603,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:31","end":"18:55","startHours":18.511797581036316,"endHours":18.911797581036314,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:43","end":"19:15","startHours":18.711797581036315,"endHours":19.243609598812206,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:28","end":"20:13","startHours":18.461797581036315,"endHours":20.211797581036315,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:45","startHours":23.904603753504887,"endHours":24.755502981946314,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:57","end":"07:33","startHours":5.948309154414887,"endHours":7.543745207742566,"quality":"inauspicious"},{"name":"Śubha","start":"07:33","end":"09:08","startHours":7.543745207742566,"endHours":9.139181261070245,"quality":"auspicious"},{"name":"Roga","start":"09:08","end":"10:44","startHours":9.139181261070245,"endHours":10.734617314397923,"quality":"inauspicious"},{"name":"Udveg","start":"10:44","end":"12:20","startHours":10.734617314397923,"endHours":12.3300533677256,"quality":"inauspicious"},{"name":"Chala","start":"12:20","end":"13:56","startHours":12.3300533677256,"endHours":13.92548942105328,"quality":"neutral"},{"name":"Labha","start":"13:56","end":"15:31","startHours":13.92548942105328,"endHours":15.52092547438096,"quality":"auspicious"},{"name":"Amṛta","start":"15:31","end":"17:07","startHours":15.52092547438096,"endHours":17.116361527708637,"quality":"auspicious"},{"name":"Kāla","start":"17:07","end":"18:43","startHours":17.116361527708637,"endHours":18.711797581036315,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:43","end":"20:07","startHours":18.711797581036315,"endHours":20.116361527708637,"quality":"auspicious"},{"name":"Amṛta","start":"20:07","end":"21:31","startHours":20.116361527708637,"endHours":21.52092547438096,"quality":"auspicious"},{"name":"Kāla","start":"21:31","end":"22:56","startHours":21.52092547438096,"endHours":22.92548942105328,"quality":"inauspicious"},{"name":"Śubha","start":"22:56","end":"00:20","startHours":22.92548942105328,"endHours":24.3300533677256,"quality":"auspicious"},{"name":"Roga","start":"00:20","end":"01:44","startHours":24.3300533677256,"endHours":25.734617314397923,"quality":"inauspicious"},{"name":"Udveg","start":"01:44","end":"03:08","startHours":25.734617314397923,"endHours":27.13918126107024,"quality":"inauspicious"},{"name":"Chala","start":"03:08","end":"04:33","startHours":27.13918126107024,"endHours":28.543745207742564,"quality":"neutral"},{"name":"Labha","start":"04:33","end":"05:57","startHours":28.543745207742564,"endHours":29.948309154414886,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:57","end":"06:57","startHours":5.948309154414887,"endHours":6.948309154414887,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:57","end":"07:57","startHours":6.948309154414887,"endHours":7.948309154414887,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:57","end":"08:57","startHours":7.948309154414887,"endHours":8.948309154414886,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:57","end":"09:57","startHours":8.948309154414886,"endHours":9.948309154414886,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:57","end":"10:57","startHours":9.948309154414886,"endHours":10.948309154414886,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:57","end":"11:57","startHours":10.948309154414886,"endHours":11.948309154414886,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:57","end":"12:57","startHours":11.948309154414886,"endHours":12.948309154414886,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:57","end":"13:57","startHours":12.948309154414886,"endHours":13.948309154414886,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:57","end":"14:57","startHours":13.948309154414886,"endHours":14.948309154414886,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:57","end":"15:57","startHours":14.948309154414886,"endHours":15.948309154414886,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:57","end":"16:57","startHours":15.948309154414886,"endHours":16.948309154414886,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:57","end":"17:57","startHours":16.948309154414886,"endHours":17.948309154414886,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:57","end":"18:57","startHours":17.948309154414886,"endHours":18.948309154414886,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:57","end":"19:57","startHours":18.948309154414886,"endHours":19.948309154414886,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:57","end":"20:57","startHours":19.948309154414886,"endHours":20.948309154414886,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:57","end":"21:57","startHours":20.948309154414886,"endHours":21.948309154414886,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:57","end":"22:57","startHours":21.948309154414886,"endHours":22.948309154414886,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:57","end":"23:57","startHours":22.948309154414886,"endHours":23.948309154414886,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:57","end":"00:57","startHours":23.948309154414886,"endHours":24.948309154414886,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:57","end":"01:57","startHours":24.948309154414886,"endHours":25.948309154414886,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:57","end":"02:57","startHours":25.948309154414886,"endHours":26.948309154414886,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:57","end":"03:57","startHours":26.948309154414886,"endHours":27.948309154414886,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:57","end":"04:57","startHours":27.948309154414886,"endHours":28.948309154414886,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:57","end":"05:57","startHours":28.948309154414886,"endHours":29.948309154414886,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","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":"Dhvānkṣa","quality":"Inauspicious"},"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":9.080990850526723,"eotMinutes":-0.49800206353601495,"ayanamsa":24.9239}},"calendars":{"vikram_samvat":2133,"vikram_samvatsara":"Saumya","saka_samvat":1998,"saka_samvatsara":"Durmukhi","bengali_samvat":1483,"malayalam_era":1252,"nanakshahi_year":607,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Amāvasyā · Vikram 2133 Saumya · Śaka 1998 Durmukhi"},"festivals":[{"id":"mahalaya-amavasya","name":"Mahālaya Amāvasyā (Sarvapitṛ Amāvasyā)","name_sanskrit":"महालय अमावस्या","tradition":"Pan-Hindu","associated_deity":"Pitṛ-deva","significance":"Final day of Pitṛ-Pakṣa; tarpaṇa for all ancestors.","vrata":true,"detection":{"tithi_number":30,"tithi_paksha":"Kṛṣṇa","lunar_month":"Bhādrapada"},"precedence":1},{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5}],"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","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 29, 2076 CE · Mathurā · Vidhyamitra","description":"August 29, 2076 CE for Mathurā: Kṛṣṇa Amāvasyā, sūryodaya 05:57, sūryāsta 18:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2076-08-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2076-08-29","sa":"https://sa.vidhyamitra.com/city/mathura/2076-08-29","hi":"https://hi.vidhyamitra.com/city/mathura/2076-08-29","x-default":"https://vidhyamitra.com/city/mathura/2076-08-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:38:21.081Z","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":"2026-05-14T14:38:21.081Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:38:21.081Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}