{"id":"vidhyamitra:city-day:mathura:2075-08-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2075-08-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-08-29","date_display":"August 29, 2075 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":2075,"month":8,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479178.770833,"kali_year":5177,"ahargana":1890713.2708,"sun":{"sidereal_longitude":130.123,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":349.912,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":219.789,"elapsed_within_tithi_degrees":3.789},"nakshatra":{"number":27,"name":"Revatī","pada":1,"moon_longitude":349.912,"elapsed_within_degrees":3.2453},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":120.035},"karana":{"half_tithi_index":36,"name":"Bava"},"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":2075,"month":8,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479178.770833,"ahargana":1890713.2708,"kali_year":5177,"ayanamsa_lahiri":24.9099,"grahas":{"sun":{"sidereal_longitude":130.977597,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":350.371097,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":-4.4993},"mars":{"sidereal_longitude":87.497997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":155.61669700000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":144.517197,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":138.33049700000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":226.317997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":80.9122,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":260.9122,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2075,"month":8,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479178.770833,"kali_year":5177,"ahargana":1890713.2708,"sun":{"sidereal_longitude":130.123,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":349.912,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":219.789,"elapsed_within_tithi_degrees":3.789},"nakshatra":{"number":27,"name":"Revatī","pada":1,"moon_longitude":349.912,"elapsed_within_degrees":3.2453},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":120.035},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.499,"elongation":140.211},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.499,"opposition_distance":39.789}},"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":"05:56","sunsetLocal":"18:43","solarNoonLocal":"12:20","dayLengthHours":12.782926959894809,"dayLengthDisplay":"12 Hours 46 Mins 59 Secs","nightLengthDisplay":"11 Hours 13 Mins 01 Secs","moonriseLocal":"20:42","moonsetLocal":"09:13","rahuKala":{"name":"Rāhu Kāla","start":"13:56","end":"15:32","startHours":13.927919237712452,"endHours":15.525785107699303,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:56","end":"07:32","startHours":5.938589887778195,"endHours":7.536455757765046,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:08","end":"10:44","startHours":9.134321627751898,"endHours":10.73218749773875,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:21","startHours":8.921272845086984,"endHours":9.347370410416811,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:28","end":"06:49","startHours":6.471211844440479,"endHours":6.81208989670434,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:45","startHours":11.903955802395773,"endHours":12.756150933055428,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:14","end":"05:05","startHours":4.234199626458888,"endHours":5.0863947571185415,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:52","end":"05:56","startHours":4.873345974453628,"endHours":5.938589887778195,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:19","startHours":14.460541194374734,"endHours":15.312736325034388,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:31","end":"18:55","startHours":18.521516847673006,"endHours":18.921516847673004,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:43","end":"19:15","startHours":18.721516847673005,"endHours":19.254138804335287,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:28","end":"20:13","startHours":18.471516847673005,"endHours":20.221516847673005,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:45","startHours":23.903955802395775,"endHours":24.756150933055427,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:56","end":"07:32","startHours":5.938589887778195,"endHours":7.536455757765046,"quality":"auspicious"},{"name":"Roga","start":"07:32","end":"09:08","startHours":7.536455757765046,"endHours":9.134321627751898,"quality":"inauspicious"},{"name":"Udveg","start":"09:08","end":"10:44","startHours":9.134321627751898,"endHours":10.73218749773875,"quality":"inauspicious"},{"name":"Chala","start":"10:44","end":"12:20","startHours":10.73218749773875,"endHours":12.3300533677256,"quality":"neutral"},{"name":"Labha","start":"12:20","end":"13:56","startHours":12.3300533677256,"endHours":13.927919237712452,"quality":"auspicious"},{"name":"Amṛta","start":"13:56","end":"15:32","startHours":13.927919237712452,"endHours":15.525785107699303,"quality":"auspicious"},{"name":"Kāla","start":"15:32","end":"17:07","startHours":15.525785107699303,"endHours":17.123650977686154,"quality":"inauspicious"},{"name":"Śubha","start":"17:07","end":"18:43","startHours":17.123650977686154,"endHours":18.721516847673005,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:43","end":"20:07","startHours":18.721516847673005,"endHours":20.123650977686154,"quality":"auspicious"},{"name":"Kāla","start":"20:07","end":"21:32","startHours":20.123650977686154,"endHours":21.525785107699303,"quality":"inauspicious"},{"name":"Śubha","start":"21:32","end":"22:56","startHours":21.525785107699303,"endHours":22.92791923771245,"quality":"auspicious"},{"name":"Roga","start":"22:56","end":"00:20","startHours":22.92791923771245,"endHours":24.3300533677256,"quality":"inauspicious"},{"name":"Udveg","start":"00:20","end":"01:44","startHours":24.3300533677256,"endHours":25.73218749773875,"quality":"inauspicious"},{"name":"Chala","start":"01:44","end":"03:08","startHours":25.73218749773875,"endHours":27.1343216277519,"quality":"neutral"},{"name":"Labha","start":"03:08","end":"04:32","startHours":27.1343216277519,"endHours":28.536455757765047,"quality":"auspicious"},{"name":"Amṛta","start":"04:32","end":"05:56","startHours":28.536455757765047,"endHours":29.938589887778196,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:56","end":"06:56","startHours":5.938589887778195,"endHours":6.938589887778195,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:56","end":"07:56","startHours":6.938589887778195,"endHours":7.938589887778195,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:56","end":"08:56","startHours":7.938589887778195,"endHours":8.938589887778196,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:56","end":"09:56","startHours":8.938589887778196,"endHours":9.938589887778196,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:56","end":"10:56","startHours":9.938589887778196,"endHours":10.938589887778196,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:56","end":"11:56","startHours":10.938589887778196,"endHours":11.938589887778196,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:56","end":"12:56","startHours":11.938589887778196,"endHours":12.938589887778196,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:56","end":"13:56","startHours":12.938589887778196,"endHours":13.938589887778196,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:56","end":"14:56","startHours":13.938589887778196,"endHours":14.938589887778196,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:56","end":"15:56","startHours":14.938589887778196,"endHours":15.938589887778196,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:56","end":"16:56","startHours":15.938589887778196,"endHours":16.938589887778196,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:56","end":"17:56","startHours":16.938589887778196,"endHours":17.938589887778196,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:56","end":"18:56","startHours":17.938589887778196,"endHours":18.938589887778196,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:56","end":"19:56","startHours":18.938589887778196,"endHours":19.938589887778196,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:56","end":"20:56","startHours":19.938589887778196,"endHours":20.938589887778196,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:56","end":"21:56","startHours":20.938589887778196,"endHours":21.938589887778196,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:56","end":"22:56","startHours":21.938589887778196,"endHours":22.938589887778196,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:56","end":"23:56","startHours":22.938589887778196,"endHours":23.938589887778196,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:56","end":"00:56","startHours":23.938589887778196,"endHours":24.938589887778196,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:56","end":"01:56","startHours":24.938589887778196,"endHours":25.938589887778196,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:56","end":"02:56","startHours":25.938589887778196,"endHours":26.938589887778196,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:56","end":"03:56","startHours":26.938589887778196,"endHours":27.938589887778196,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:56","end":"04:56","startHours":27.938589887778196,"endHours":28.938589887778196,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:56","end":"05:56","startHours":28.938589887778196,"endHours":29.938589887778196,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Lumba","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":9.35119321507431,"eotMinutes":-0.49800206353601495,"ayanamsa":24.9099}},"calendars":{"vikram_samvat":2132,"vikram_samvatsara":"Kīlaka","saka_samvat":1997,"saka_samvatsara":"Manmatha","bengali_samvat":1482,"malayalam_era":1251,"nanakshahi_year":606,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Caturthī · Vikram 2132 Kīlaka · Śaka 1997 Manmatha"},"festivals":[{"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},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":[]},"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, 2075 CE · Mathurā · Vidhyamitra","description":"August 29, 2075 CE for Mathurā: Kṛṣṇa Caturthī, sūryodaya 05:56, sūryāsta 18:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2075-08-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2075-08-29","sa":"https://sa.vidhyamitra.com/city/mathura/2075-08-29","hi":"https://hi.vidhyamitra.com/city/mathura/2075-08-29","x-default":"https://vidhyamitra.com/city/mathura/2075-08-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:26:45.716Z","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":"2026-05-14T12:26:45.716Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:26:45.716Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}