{"id":"vidhyamitra:city-day:mathura:1964-07-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1964-07-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1964-07-24","date_display":"July 24, 1964 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":1964,"month":7,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438600.770833,"kali_year":5066,"ahargana":1850135.2708,"sun":{"sidereal_longitude":97.4079,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":270.4152,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":173.0073,"elapsed_within_tithi_degrees":5.0073},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":270.4152,"elapsed_within_degrees":3.7485},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":7.823},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"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":1964,"month":7,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438600.770833,"ahargana":1850135.2708,"kali_year":5066,"ayanamsa_lahiri":23.3579,"grahas":{"sun":{"sidereal_longitude":97.81347499999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"moon":{"sidereal_longitude":270.72277499999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":-1.4997},"mars":{"sidereal_longitude":62.60907500000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":122.399475,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":29.27227499999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":60.09617500000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":311.22137499999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":70.9299,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":250.9299,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"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":1964,"month":7,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438600.770833,"kali_year":5066,"ahargana":1850135.2708,"sun":{"sidereal_longitude":97.4079,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":270.4152,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":173.0073,"elapsed_within_tithi_degrees":5.0073},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":270.4152,"elapsed_within_degrees":3.7485},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":7.823},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.5,"elongation":173.007},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.5,"opposition_distance":6.993}},"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":"05:38","sunsetLocal":"19:13","solarNoonLocal":"12:25","dayLengthHours":13.583250429888645,"dayLengthDisplay":"13 Hours 35 Mins 00 Secs","nightLengthDisplay":"10 Hours 25 Mins 00 Secs","moonriseLocal":"18:41","moonsetLocal":"05:13","rahuKala":{"name":"Rāhu Kāla","start":"10:44","end":"12:25","startHours":10.726516529449226,"endHours":12.424422833185307,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:49","end":"17:31","startHours":15.820235440657468,"endHours":17.518141744393546,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:20","end":"09:02","startHours":7.330703921977064,"endHours":9.028610225713145,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:48","end":"09:15","startHours":8.802222718548334,"endHours":9.254997732877957,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:12","end":"06:34","startHours":6.198766386153011,"endHours":6.560986397616708,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.971647818855686,"endHours":12.877197847514928,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:49","end":"04:44","startHours":3.8216975609224977,"endHours":4.727247589581741,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:30","end":"05:38","startHours":4.50086008241693,"endHours":5.632797618240984,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:41","end":"15:36","startHours":14.688297904833414,"endHours":15.593847933492658,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:01","end":"19:25","startHours":19.01604804812963,"endHours":19.41604804812963,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:13","end":"19:47","startHours":19.21604804812963,"endHours":19.782016816041654,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:58","end":"20:43","startHours":18.96604804812963,"endHours":20.71604804812963,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.971647818855686,"endHours":24.87719784751493,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:38","end":"07:20","startHours":5.632797618240984,"endHours":7.330703921977064,"quality":"neutral"},{"name":"Labha","start":"07:20","end":"09:02","startHours":7.330703921977064,"endHours":9.028610225713145,"quality":"auspicious"},{"name":"Amṛta","start":"09:02","end":"10:44","startHours":9.028610225713145,"endHours":10.726516529449226,"quality":"auspicious"},{"name":"Kāla","start":"10:44","end":"12:25","startHours":10.726516529449226,"endHours":12.424422833185307,"quality":"inauspicious"},{"name":"Śubha","start":"12:25","end":"14:07","startHours":12.424422833185307,"endHours":14.122329136921387,"quality":"auspicious"},{"name":"Roga","start":"14:07","end":"15:49","startHours":14.122329136921387,"endHours":15.820235440657468,"quality":"inauspicious"},{"name":"Udveg","start":"15:49","end":"17:31","startHours":15.820235440657468,"endHours":17.518141744393546,"quality":"inauspicious"},{"name":"Chala","start":"17:31","end":"19:13","startHours":17.518141744393546,"endHours":19.21604804812963,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:13","end":"20:31","startHours":19.21604804812963,"endHours":20.51814174439355,"quality":"inauspicious"},{"name":"Udveg","start":"20:31","end":"21:49","startHours":20.51814174439355,"endHours":21.820235440657466,"quality":"inauspicious"},{"name":"Chala","start":"21:49","end":"23:07","startHours":21.820235440657466,"endHours":23.122329136921387,"quality":"neutral"},{"name":"Labha","start":"23:07","end":"00:25","startHours":23.122329136921387,"endHours":24.424422833185307,"quality":"auspicious"},{"name":"Amṛta","start":"00:25","end":"01:44","startHours":24.424422833185307,"endHours":25.726516529449228,"quality":"auspicious"},{"name":"Kāla","start":"01:44","end":"03:02","startHours":25.726516529449228,"endHours":27.028610225713145,"quality":"inauspicious"},{"name":"Śubha","start":"03:02","end":"04:20","startHours":27.028610225713145,"endHours":28.330703921977065,"quality":"auspicious"},{"name":"Roga","start":"04:20","end":"05:38","startHours":28.330703921977065,"endHours":29.632797618240986,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:38","end":"06:38","startHours":5.632797618240984,"endHours":6.632797618240984,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:38","end":"07:38","startHours":6.632797618240984,"endHours":7.632797618240984,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:38","end":"08:38","startHours":7.632797618240984,"endHours":8.632797618240984,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:38","end":"09:38","startHours":8.632797618240984,"endHours":9.632797618240984,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:38","end":"10:38","startHours":9.632797618240984,"endHours":10.632797618240984,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:38","end":"11:38","startHours":10.632797618240984,"endHours":11.632797618240984,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:38","end":"12:38","startHours":11.632797618240984,"endHours":12.632797618240984,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:38","end":"13:38","startHours":12.632797618240984,"endHours":13.632797618240984,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:38","end":"14:38","startHours":13.632797618240984,"endHours":14.632797618240984,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:38","end":"15:38","startHours":14.632797618240984,"endHours":15.632797618240984,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:38","end":"16:38","startHours":15.632797618240984,"endHours":16.632797618240986,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:38","end":"17:38","startHours":16.632797618240986,"endHours":17.632797618240986,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:38","end":"18:38","startHours":17.632797618240986,"endHours":18.632797618240986,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:38","end":"19:38","startHours":18.632797618240986,"endHours":19.632797618240986,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:38","end":"20:38","startHours":19.632797618240986,"endHours":20.632797618240986,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:38","end":"21:38","startHours":20.632797618240986,"endHours":21.632797618240986,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:38","end":"22:38","startHours":21.632797618240986,"endHours":22.632797618240986,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:38","end":"23:38","startHours":22.632797618240986,"endHours":23.632797618240986,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:38","end":"00:38","startHours":23.632797618240986,"endHours":24.632797618240986,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:38","end":"01:38","startHours":24.632797618240986,"endHours":25.632797618240986,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:38","end":"02:38","startHours":25.632797618240986,"endHours":26.632797618240986,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:38","end":"03:38","startHours":26.632797618240986,"endHours":27.632797618240986,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:38","end":"04:38","startHours":27.632797618240986,"endHours":28.632797618240986,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:38","end":"05:38","startHours":28.632797618240986,"endHours":29.632797618240986,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"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":19.89570269748091,"eotMinutes":-6.160169991118456,"ayanamsa":23.3579}},"calendars":{"vikram_samvat":2021,"vikram_samvatsara":"Piṅgala","saka_samvat":1886,"saka_samvatsara":"Krodhi","bengali_samvat":1371,"malayalam_era":1140,"nanakshahi_year":495,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pūrṇimā · Vikram 2021 Piṅgala · Śaka 1886 Krodhi"},"festivals":[{"id":"raksha-bandhana","name":"Rakṣā Bandhana / Śrāvaṇa Pūrṇimā","name_sanskrit":"रक्षा बन्धन","tradition":"Pan-Hindu","significance":"Sister-brother bond; Brāhmaṇa Upākarma.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":1},{"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},{"id":"jhulan-purnima","name":"Jhūlan Pūrṇimā (Rādhā-Krishna swing)","name_sanskrit":"झूलन पूर्णिमा","tradition":"Vaishnava","associated_deity":"Rādhā-Krishna","significance":"Rādhā-Krishna swing-līlā festival; Jhūlan-yātrā culmination.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":3},{"id":"upakarman-rigveda","name":"Ṛg-Veda Upākarman","name_sanskrit":"ऋग्वेद उपाकर्मन्","tradition":"Smarta","associated_deity":"Ṛṣi-paramparā","significance":"Annual renewal of Veda-svādhyāya for Ṛg-Vedīs. Śrāvaṇa Pūrṇimā.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":3},{"id":"upakarman-yajurveda","name":"Yajur-Veda Upākarman","name_sanskrit":"यजुर्वेद उपाकर्मन्","tradition":"Smarta","significance":"Annual renewal of Veda-svādhyāya for Yajur-Vedīs.","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":3},{"id":"hayagriva-jayanti","name":"Hayagrīva Jayantī","name_sanskrit":"हयग्रीव जयन्ती","tradition":"Vaishnava","associated_deity":"Hayagrīva (Knowledge-form of Bhagavān)","significance":"Bhagavān as Hayagrīva restored the Vedas to Brahmā. Vidyā-pradāyaka.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":4,"sources":["Devī-Bhāgavata, Hayagrīva-stotra"]}],"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","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 July 24, 1964 CE · Mathurā · Vidhyamitra","description":"July 24, 1964 CE for Mathurā: Śukla Pūrṇimā, sūryodaya 05:38, sūryāsta 19:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1964-07-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1964-07-24","sa":"https://sa.vidhyamitra.com/city/mathura/1964-07-24","hi":"https://hi.vidhyamitra.com/city/mathura/1964-07-24","x-default":"https://vidhyamitra.com/city/mathura/1964-07-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:04:33.550Z","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":"2026-05-14T17:04:33.550Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:04:33.550Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}