{"id":"vidhyamitra:city-day:mathura:2033-08-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2033-08-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2033-08-12","date_display":"August 12, 2033 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":2033,"month":8,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463821.770833,"kali_year":5135,"ahargana":1875356.2708,"sun":{"sidereal_longitude":114.6705,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":310.1944,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":195.5239,"elapsed_within_tithi_degrees":3.5239},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.1944,"elapsed_within_degrees":3.5278},"yoga":{"number":5,"name":"Śobhana","sum_longitude":64.8649},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2033,"month":8,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463821.770833,"ahargana":1875356.2708,"kali_year":5135,"ayanamsa_lahiri":24.3225,"grahas":{"sun":{"sidereal_longitude":115.34844699999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":312.82814699999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false,"latitude":3.1471},"mars":{"sidereal_longitude":245.76214700000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":105.93054699999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":309.270847,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":79.59834699999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":81.27464700000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":174.5999,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":354.5999,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","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":2033,"month":8,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463821.770833,"kali_year":5135,"ahargana":1875356.2708,"sun":{"sidereal_longitude":114.6705,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":310.1944,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":17,"name":"Dvitīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvitīyā","elongation_degrees":195.5239,"elapsed_within_tithi_degrees":3.5239},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.1944,"elapsed_within_degrees":3.5278},"yoga":{"number":5,"name":"Śobhana","sum_longitude":64.8649},"karana":{"half_tithi_index":32,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.147,"elongation":164.476},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.147,"opposition_distance":15.524}},"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":"19:00","solarNoonLocal":"12:24","dayLengthHours":13.1934187232654,"dayLengthDisplay":"13 Hours 11 Mins 36 Secs","nightLengthDisplay":"10 Hours 48 Mins 24 Secs","moonriseLocal":"19:50","moonsetLocal":"07:18","rahuKala":{"name":"Rāhu Kāla","start":"10:45","end":"12:24","startHours":10.751562673522544,"endHours":12.400740013930719,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:42","end":"17:21","startHours":15.69909469474707,"endHours":17.348272035155247,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:27","end":"09:06","startHours":7.4532079927061945,"endHours":9.10238533311437,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:19","startHours":8.882495021059945,"endHours":9.322275645168792,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:21","end":"06:42","startHours":6.353756432434078,"endHours":6.705580931721155,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:50","startHours":11.960959389821872,"endHours":12.840520638039566,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:03","end":"04:55","startHours":4.0449081558626325,"endHours":4.924469404080326,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:42","end":"05:48","startHours":4.704579092025902,"endHours":5.804030652298019,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:36","end":"15:29","startHours":14.599643134474954,"endHours":15.479204382692648,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:48","end":"19:12","startHours":18.79744937556342,"endHours":19.19744937556342,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:00","end":"19:33","startHours":18.99744937556342,"endHours":19.547175155699478,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:45","end":"20:30","startHours":18.74744937556342,"endHours":20.49744937556342,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:50","startHours":23.960959389821873,"endHours":24.840520638039564,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:48","end":"07:27","startHours":5.804030652298019,"endHours":7.4532079927061945,"quality":"neutral"},{"name":"Labha","start":"07:27","end":"09:06","startHours":7.4532079927061945,"endHours":9.10238533311437,"quality":"auspicious"},{"name":"Amṛta","start":"09:06","end":"10:45","startHours":9.10238533311437,"endHours":10.751562673522544,"quality":"auspicious"},{"name":"Kāla","start":"10:45","end":"12:24","startHours":10.751562673522544,"endHours":12.400740013930719,"quality":"inauspicious"},{"name":"Śubha","start":"12:24","end":"14:03","startHours":12.400740013930719,"endHours":14.049917354338895,"quality":"auspicious"},{"name":"Roga","start":"14:03","end":"15:42","startHours":14.049917354338895,"endHours":15.69909469474707,"quality":"inauspicious"},{"name":"Udveg","start":"15:42","end":"17:21","startHours":15.69909469474707,"endHours":17.348272035155247,"quality":"inauspicious"},{"name":"Chala","start":"17:21","end":"19:00","startHours":17.348272035155247,"endHours":18.99744937556342,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:00","end":"20:21","startHours":18.99744937556342,"endHours":20.348272035155244,"quality":"inauspicious"},{"name":"Udveg","start":"20:21","end":"21:42","startHours":20.348272035155244,"endHours":21.69909469474707,"quality":"inauspicious"},{"name":"Chala","start":"21:42","end":"23:03","startHours":21.69909469474707,"endHours":23.049917354338895,"quality":"neutral"},{"name":"Labha","start":"23:03","end":"00:24","startHours":23.049917354338895,"endHours":24.40074001393072,"quality":"auspicious"},{"name":"Amṛta","start":"00:24","end":"01:45","startHours":24.40074001393072,"endHours":25.751562673522542,"quality":"auspicious"},{"name":"Kāla","start":"01:45","end":"03:06","startHours":25.751562673522542,"endHours":27.10238533311437,"quality":"inauspicious"},{"name":"Śubha","start":"03:06","end":"04:27","startHours":27.10238533311437,"endHours":28.453207992706194,"quality":"auspicious"},{"name":"Roga","start":"04:27","end":"05:48","startHours":28.453207992706194,"endHours":29.804030652298017,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:48","end":"06:48","startHours":5.804030652298019,"endHours":6.804030652298019,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:48","end":"07:48","startHours":6.804030652298019,"endHours":7.804030652298019,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:48","end":"08:48","startHours":7.804030652298019,"endHours":8.80403065229802,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:48","end":"09:48","startHours":8.80403065229802,"endHours":9.80403065229802,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:48","end":"10:48","startHours":9.80403065229802,"endHours":10.80403065229802,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:48","end":"11:48","startHours":10.80403065229802,"endHours":11.80403065229802,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:48","end":"12:48","startHours":11.80403065229802,"endHours":12.80403065229802,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:48","end":"13:48","startHours":12.80403065229802,"endHours":13.80403065229802,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:48","end":"14:48","startHours":13.80403065229802,"endHours":14.80403065229802,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:48","end":"15:48","startHours":14.80403065229802,"endHours":15.80403065229802,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:48","end":"16:48","startHours":15.80403065229802,"endHours":16.804030652298017,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:48","end":"17:48","startHours":16.804030652298017,"endHours":17.804030652298017,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:48","end":"18:48","startHours":17.804030652298017,"endHours":18.804030652298017,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:48","end":"19:48","startHours":18.804030652298017,"endHours":19.804030652298017,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:48","end":"20:48","startHours":19.804030652298017,"endHours":20.804030652298017,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:48","end":"21:48","startHours":20.804030652298017,"endHours":21.804030652298017,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:48","end":"22:48","startHours":21.804030652298017,"endHours":22.804030652298017,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:48","end":"23:48","startHours":22.804030652298017,"endHours":23.804030652298017,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:48","end":"00:48","startHours":23.804030652298017,"endHours":24.804030652298017,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:48","end":"01:48","startHours":24.804030652298017,"endHours":25.804030652298017,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:48","end":"02:48","startHours":25.804030652298017,"endHours":26.804030652298017,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:48","end":"03:48","startHours":26.804030652298017,"endHours":27.804030652298017,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:48","end":"04:48","startHours":27.804030652298017,"endHours":28.804030652298017,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:48","end":"05:48","startHours":28.804030652298017,"endHours":29.804030652298017,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"South-East","anandadiYoga":{"name":"Utpāta","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":14.916025216260396,"eotMinutes":-4.739200835843176,"ayanamsa":24.3225}},"calendars":{"vikram_samvat":2090,"vikram_samvatsara":"Akṣaya","saka_samvat":1955,"saka_samvatsara":"Pramādī","bengali_samvat":1440,"malayalam_era":1209,"nanakshahi_year":564,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Dvitīyā · Vikram 2090 Akṣaya · Śaka 1955 Pramādī"},"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 12, 2033 CE · Mathurā · Vidhyamitra","description":"August 12, 2033 CE for Mathurā: Kṛṣṇa Dvitīyā, sūryodaya 05:48, sūryāsta 19:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2033-08-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2033-08-12","sa":"https://sa.vidhyamitra.com/city/mathura/2033-08-12","hi":"https://hi.vidhyamitra.com/city/mathura/2033-08-12","x-default":"https://vidhyamitra.com/city/mathura/2033-08-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:06:55.922Z","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":"2026-05-14T17:06:55.922Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:06:55.922Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}