{"id":"vidhyamitra:city-day:mathura:1936-08-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1936-08-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1936-08-16","date_display":"August 16, 1936 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":1936,"month":8,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2428396.770833,"kali_year":5038,"ahargana":1839931.2708,"sun":{"sidereal_longitude":119.5424,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":107.9103,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":348.368,"elapsed_within_tithi_degrees":0.368},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":107.9103,"elapsed_within_degrees":1.2437},"yoga":{"number":18,"name":"Varīyān","sum_longitude":227.4527},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1936,"month":8,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2428396.770833,"ahargana":1839931.2708,"kali_year":5038,"ayanamsa_lahiri":22.9677,"grahas":{"sun":{"sidereal_longitude":120.01064300000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":107.06214299999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false,"latitude":-2.6638},"mars":{"sidereal_longitude":101.54204299999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":141.33214299999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":232.46234300000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":134.02984300000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":328.606943,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":251.5869,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":71.5869,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"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":1936,"month":8,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2428396.770833,"kali_year":5038,"ahargana":1839931.2708,"sun":{"sidereal_longitude":119.5424,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":107.9103,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":348.368,"elapsed_within_tithi_degrees":0.368},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":107.9103,"elapsed_within_degrees":1.2437},"yoga":{"number":18,"name":"Varīyān","sum_longitude":227.4527},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.664,"elongation":11.632},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.664,"opposition_distance":168.368}},"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":"05:50","sunsetLocal":"18:57","solarNoonLocal":"12:23","dayLengthHours":13.113497847564659,"dayLengthDisplay":"13 Hours 06 Mins 49 Secs","nightLengthDisplay":"10 Hours 53 Mins 11 Secs","moonriseLocal":"04:50","moonsetLocal":"18:13","rahuKala":{"name":"Rāhu Kāla","start":"17:18","end":"18:57","startHours":17.30547928612229,"endHours":18.94466651706787,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:23","end":"14:02","startHours":12.38791759328554,"endHours":14.027104824231124,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:40","end":"17:18","startHours":15.666292055176704,"endHours":17.30547928612229,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:20","startHours":8.890984833934965,"endHours":9.328101428853786,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:23","end":"06:44","startHours":6.377564413151738,"endHours":6.7272576890867954,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:50","startHours":11.950800998366718,"endHours":12.825034188204361,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:05","end":"04:57","startHours":4.082702289827923,"endHours":4.956935479665567,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:44","end":"05:50","startHours":4.738377182206156,"endHours":5.831168669503211,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:27","startHours":14.573500567879652,"endHours":15.447733757717296,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:45","end":"19:09","startHours":18.74466651706787,"endHours":19.14466651706787,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:57","end":"19:29","startHours":18.94466651706787,"endHours":19.491062260716397,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:42","end":"20:27","startHours":18.69466651706787,"endHours":20.44466651706787,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:50","startHours":23.950800998366716,"endHours":24.825034188204363,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:50","end":"07:28","startHours":5.831168669503211,"endHours":7.470355900448793,"quality":"inauspicious"},{"name":"Chala","start":"07:28","end":"09:07","startHours":7.470355900448793,"endHours":9.109543131394375,"quality":"neutral"},{"name":"Labha","start":"09:07","end":"10:45","startHours":9.109543131394375,"endHours":10.748730362339959,"quality":"auspicious"},{"name":"Amṛta","start":"10:45","end":"12:23","startHours":10.748730362339959,"endHours":12.38791759328554,"quality":"auspicious"},{"name":"Kāla","start":"12:23","end":"14:02","startHours":12.38791759328554,"endHours":14.027104824231124,"quality":"inauspicious"},{"name":"Śubha","start":"14:02","end":"15:40","startHours":14.027104824231124,"endHours":15.666292055176704,"quality":"auspicious"},{"name":"Roga","start":"15:40","end":"17:18","startHours":15.666292055176704,"endHours":17.30547928612229,"quality":"inauspicious"},{"name":"Udveg","start":"17:18","end":"18:57","startHours":17.30547928612229,"endHours":18.94466651706787,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:57","end":"20:18","startHours":18.94466651706787,"endHours":20.305479286122285,"quality":"auspicious"},{"name":"Roga","start":"20:18","end":"21:40","startHours":20.305479286122285,"endHours":21.666292055176704,"quality":"inauspicious"},{"name":"Udveg","start":"21:40","end":"23:02","startHours":21.666292055176704,"endHours":23.027104824231124,"quality":"inauspicious"},{"name":"Chala","start":"23:02","end":"00:23","startHours":23.027104824231124,"endHours":24.38791759328554,"quality":"neutral"},{"name":"Labha","start":"00:23","end":"01:45","startHours":24.38791759328554,"endHours":25.748730362339955,"quality":"auspicious"},{"name":"Amṛta","start":"01:45","end":"03:07","startHours":25.748730362339955,"endHours":27.109543131394375,"quality":"auspicious"},{"name":"Kāla","start":"03:07","end":"04:28","startHours":27.109543131394375,"endHours":28.470355900448794,"quality":"inauspicious"},{"name":"Śubha","start":"04:28","end":"05:50","startHours":28.470355900448794,"endHours":29.83116866950321,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.831168669503211,"endHours":6.831168669503211,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.831168669503211,"endHours":7.831168669503211,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.831168669503211,"endHours":8.83116866950321,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.83116866950321,"endHours":9.83116866950321,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.83116866950321,"endHours":10.83116866950321,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.83116866950321,"endHours":11.83116866950321,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.83116866950321,"endHours":12.83116866950321,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.83116866950321,"endHours":13.83116866950321,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.83116866950321,"endHours":14.83116866950321,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.83116866950321,"endHours":15.83116866950321,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.83116866950321,"endHours":16.83116866950321,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.83116866950321,"endHours":17.83116866950321,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.83116866950321,"endHours":18.83116866950321,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.83116866950321,"endHours":19.83116866950321,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.83116866950321,"endHours":20.83116866950321,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.83116866950321,"endHours":21.83116866950321,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.83116866950321,"endHours":22.83116866950321,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.83116866950321,"endHours":23.83116866950321,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.83116866950321,"endHours":24.83116866950321,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.83116866950321,"endHours":25.83116866950321,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.83116866950321,"endHours":26.83116866950321,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.83116866950321,"endHours":27.83116866950321,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.83116866950321,"endHours":28.83116866950321,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.83116866950321,"endHours":29.83116866950321,"planetary_lord":"Jupiter"}],"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":13.855935259526676,"eotMinutes":-3.969855597132357,"ayanamsa":22.9677}},"calendars":{"vikram_samvat":1993,"vikram_samvatsara":"Virodhi","saka_samvat":1858,"saka_samvatsara":"Dhātṛ","bengali_samvat":1343,"malayalam_era":1112,"nanakshahi_year":467,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Amāvasyā · Vikram 1993 Virodhi · Śaka 1858 Dhātṛ"},"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 16, 1936 CE · Mathurā · Vidhyamitra","description":"August 16, 1936 CE for Mathurā: Kṛṣṇa Amāvasyā, sūryodaya 05:50, sūryāsta 18:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1936-08-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1936-08-16","sa":"https://sa.vidhyamitra.com/city/mathura/1936-08-16","hi":"https://hi.vidhyamitra.com/city/mathura/1936-08-16","x-default":"https://vidhyamitra.com/city/mathura/1936-08-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:54:35.745Z","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":"2026-05-14T14:54:35.745Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:54:35.745Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}