{"id":"vidhyamitra:city-day:mathura:1931-08-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1931-08-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1931-08-29","date_display":"August 29, 1931 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":1931,"month":8,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2426582.770833,"kali_year":5033,"ahargana":1838117.2708,"sun":{"sidereal_longitude":131.3361,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":323.2545,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":191.9184,"elapsed_within_tithi_degrees":11.9184},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":323.2545,"elapsed_within_degrees":3.2545},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":94.5906},"karana":{"half_tithi_index":31,"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":1931,"month":8,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2426582.770833,"ahargana":1838117.2708,"kali_year":5033,"ayanamsa_lahiri":22.8983,"grahas":{"sun":{"sidereal_longitude":131.846051,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":321.790851,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":-1.8607},"mars":{"sidereal_longitude":175.31595100000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":145.74515099999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":107.04835100000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":130.065251,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":264.639951,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":347.7014,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":167.7014,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":1931,"month":8,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2426582.770833,"kali_year":5033,"ahargana":1838117.2708,"sun":{"sidereal_longitude":131.3361,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":323.2545,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":191.9184,"elapsed_within_tithi_degrees":11.9184},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":323.2545,"elapsed_within_degrees":3.2545},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":94.5906},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.861,"elongation":168.082},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.861,"opposition_distance":11.918}},"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":"05:55","sunsetLocal":"18:44","solarNoonLocal":"12:20","dayLengthHours":12.813141163564334,"dayLengthDisplay":"12 Hours 48 Mins 47 Secs","nightLengthDisplay":"11 Hours 11 Mins 13 Secs","moonriseLocal":"19:10","moonsetLocal":"06:50","rahuKala":{"name":"Rāhu Kāla","start":"09:08","end":"10:44","startHours":9.126768076834516,"endHours":10.728410722280058,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:56","end":"15:32","startHours":13.931696013171141,"endHours":15.533338658616684,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:55","end":"07:32","startHours":5.923482785943433,"endHours":7.525125431388974,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:20","startHours":8.913215724108444,"endHours":9.340320429560588,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:27","end":"06:48","startHours":6.457363667758614,"endHours":6.79904743212033,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:45","startHours":11.902948662273456,"endHours":12.757158073177745,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:13","end":"05:04","startHours":4.215063964134855,"endHours":5.069273375039144,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:51","end":"05:55","startHours":4.855721022313071,"endHours":5.923482785943433,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:19","startHours":14.465576894986322,"endHours":15.319786305890611,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:32","end":"18:56","startHours":18.536623949507767,"endHours":18.936623949507766,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:44","end":"19:16","startHours":18.736623949507766,"endHours":19.270504831322945,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:29","end":"20:14","startHours":18.486623949507766,"endHours":20.236623949507766,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:45","startHours":23.902948662273456,"endHours":24.757158073177745,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:55","end":"07:32","startHours":5.923482785943433,"endHours":7.525125431388974,"quality":"inauspicious"},{"name":"Śubha","start":"07:32","end":"09:08","startHours":7.525125431388974,"endHours":9.126768076834516,"quality":"auspicious"},{"name":"Roga","start":"09:08","end":"10:44","startHours":9.126768076834516,"endHours":10.728410722280058,"quality":"inauspicious"},{"name":"Udveg","start":"10:44","end":"12:20","startHours":10.728410722280058,"endHours":12.3300533677256,"quality":"inauspicious"},{"name":"Chala","start":"12:20","end":"13:56","startHours":12.3300533677256,"endHours":13.931696013171141,"quality":"neutral"},{"name":"Labha","start":"13:56","end":"15:32","startHours":13.931696013171141,"endHours":15.533338658616684,"quality":"auspicious"},{"name":"Amṛta","start":"15:32","end":"17:08","startHours":15.533338658616684,"endHours":17.134981304062222,"quality":"auspicious"},{"name":"Kāla","start":"17:08","end":"18:44","startHours":17.134981304062222,"endHours":18.736623949507766,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:44","end":"20:08","startHours":18.736623949507766,"endHours":20.134981304062226,"quality":"auspicious"},{"name":"Amṛta","start":"20:08","end":"21:32","startHours":20.134981304062226,"endHours":21.53333865861668,"quality":"auspicious"},{"name":"Kāla","start":"21:32","end":"22:56","startHours":21.53333865861668,"endHours":22.93169601317114,"quality":"inauspicious"},{"name":"Śubha","start":"22:56","end":"00:20","startHours":22.93169601317114,"endHours":24.3300533677256,"quality":"auspicious"},{"name":"Roga","start":"00:20","end":"01:44","startHours":24.3300533677256,"endHours":25.72841072228006,"quality":"inauspicious"},{"name":"Udveg","start":"01:44","end":"03:08","startHours":25.72841072228006,"endHours":27.126768076834516,"quality":"inauspicious"},{"name":"Chala","start":"03:08","end":"04:32","startHours":27.126768076834516,"endHours":28.525125431388975,"quality":"neutral"},{"name":"Labha","start":"04:32","end":"05:55","startHours":28.525125431388975,"endHours":29.923482785943435,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:55","end":"06:55","startHours":5.923482785943433,"endHours":6.923482785943433,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:55","end":"07:55","startHours":6.923482785943433,"endHours":7.923482785943433,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:55","end":"08:55","startHours":7.923482785943433,"endHours":8.923482785943433,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:55","end":"09:55","startHours":8.923482785943433,"endHours":9.923482785943433,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:55","end":"10:55","startHours":9.923482785943433,"endHours":10.923482785943433,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:55","end":"11:55","startHours":10.923482785943433,"endHours":11.923482785943433,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:55","end":"12:55","startHours":11.923482785943433,"endHours":12.923482785943433,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:55","end":"13:55","startHours":12.923482785943433,"endHours":13.923482785943433,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:55","end":"14:55","startHours":13.923482785943433,"endHours":14.923482785943433,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:55","end":"15:55","startHours":14.923482785943433,"endHours":15.923482785943433,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:55","end":"16:55","startHours":15.923482785943433,"endHours":16.923482785943435,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:55","end":"17:55","startHours":16.923482785943435,"endHours":17.923482785943435,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:55","end":"18:55","startHours":17.923482785943435,"endHours":18.923482785943435,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:55","end":"19:55","startHours":18.923482785943435,"endHours":19.923482785943435,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:55","end":"20:55","startHours":19.923482785943435,"endHours":20.923482785943435,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:55","end":"21:55","startHours":20.923482785943435,"endHours":21.923482785943435,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:55","end":"22:55","startHours":21.923482785943435,"endHours":22.923482785943435,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:55","end":"23:55","startHours":22.923482785943435,"endHours":23.923482785943435,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:55","end":"00:55","startHours":23.923482785943435,"endHours":24.923482785943435,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:55","end":"01:55","startHours":24.923482785943435,"endHours":25.923482785943435,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:55","end":"02:55","startHours":25.923482785943435,"endHours":26.923482785943435,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:55","end":"03:55","startHours":26.923482785943435,"endHours":27.923482785943435,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:55","end":"04:55","startHours":27.923482785943435,"endHours":28.923482785943435,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:55","end":"05:55","startHours":28.923482785943435,"endHours":29.923482785943435,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Amṛta","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":9.770126956564816,"eotMinutes":-0.49800206353601495,"ayanamsa":22.8983}},"calendars":{"vikram_samvat":1988,"vikram_samvatsara":"Tāraṇa","saka_samvat":1853,"saka_samvatsara":"Prajāpati","bengali_samvat":1338,"malayalam_era":1107,"nanakshahi_year":462,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Pratipada · Vikram 1988 Tāraṇa · Śaka 1853 Prajāpati"},"festivals":[{"id":"pitra-paksha-start","name":"Pitṛ-Pakṣa Start","name_sanskrit":"पितृ पक्ष आरम्भ","tradition":"Pan-Hindu","associated_deity":"Pitṛ-gaṇa","significance":"Begin 16-day śrāddha period for ancestors. Bhādrapada Pūrṇimā next-day.","vrata":true,"detection":{"tithi_number":16,"tithi_paksha":"Kṛṣṇa","lunar_month":"Bhādrapada"},"precedence":2},{"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":[]},"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, 1931 CE · Mathurā · Vidhyamitra","description":"August 29, 1931 CE for Mathurā: Kṛṣṇa Pratipada, sūryodaya 05:55, sūryāsta 18:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1931-08-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1931-08-29","sa":"https://sa.vidhyamitra.com/city/mathura/1931-08-29","hi":"https://hi.vidhyamitra.com/city/mathura/1931-08-29","x-default":"https://vidhyamitra.com/city/mathura/1931-08-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:53:46.221Z","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":"2026-05-14T14:53:46.221Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:53:46.221Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}