{"id":"vidhyamitra:city-day:mathura:1931-07-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1931-07-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1931-07-04","date_display":"July 4, 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":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2426526.770833,"kali_year":5033,"ahargana":1838061.2708,"sun":{"sidereal_longitude":78.0254,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":307.1412,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":229.1158,"elapsed_within_tithi_degrees":1.1158},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":307.1412,"elapsed_within_degrees":0.4745},"yoga":{"number":2,"name":"Prīti","sum_longitude":25.1666},"karana":{"half_tithi_index":38,"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":7,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2426526.770833,"ahargana":1838061.2708,"kali_year":5033,"ayanamsa_lahiri":22.8961,"grahas":{"sun":{"sidereal_longitude":78.21689100000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":305.0424909999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false,"latitude":-3.0975},"mars":{"sidereal_longitude":141.03029099999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":84.255291,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":94.80409099999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"venus":{"sidereal_longitude":61.24699099999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":268.176291,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":350.6685,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":170.6685,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":1931,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2426526.770833,"kali_year":5033,"ahargana":1838061.2708,"sun":{"sidereal_longitude":78.0254,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":307.1412,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":229.1158,"elapsed_within_tithi_degrees":1.1158},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":307.1412,"elapsed_within_degrees":0.4745},"yoga":{"number":2,"name":"Prīti","sum_longitude":25.1666},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.097,"elongation":130.884},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.097,"opposition_distance":49.116}},"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":"05:28","sunsetLocal":"19:18","solarNoonLocal":"12:23","dayLengthHours":13.83888698353212,"dayLengthDisplay":"13 Hours 50 Mins 20 Secs","nightLengthDisplay":"10 Hours 09 Mins 40 Secs","moonriseLocal":"21:54","moonsetLocal":"09:08","rahuKala":{"name":"Rāhu Kāla","start":"08:56","end":"10:40","startHours":8.92902014172634,"endHours":10.658881014667855,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:07","end":"15:51","startHours":14.118602760550885,"endHours":15.8484636334924,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:28","end":"07:12","startHours":5.46929839584331,"endHours":7.199159268784825,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:42","end":"09:10","startHours":8.698372025334137,"endHours":9.159668258118543,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:25","startHours":6.045918686823815,"endHours":6.414955673051338,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:51","startHours":11.927445654824966,"endHours":12.850038120393775,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:37","end":"04:33","startHours":3.6241134647056943,"endHours":4.546705930274502,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:19","end":"05:28","startHours":4.3160578138823,"endHours":5.46929839584331,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.695223051531391,"endHours":15.6178155171002,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:06","end":"19:30","startHours":19.10818537937543,"endHours":19.50818537937543,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:18","end":"19:53","startHours":19.30818537937543,"endHours":19.884805670355934,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:03","end":"20:48","startHours":19.05818537937543,"endHours":20.80818537937543,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:51","startHours":23.927445654824968,"endHours":24.850038120393773,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:28","end":"07:12","startHours":5.46929839584331,"endHours":7.199159268784825,"quality":"inauspicious"},{"name":"Śubha","start":"07:12","end":"08:56","startHours":7.199159268784825,"endHours":8.92902014172634,"quality":"auspicious"},{"name":"Roga","start":"08:56","end":"10:40","startHours":8.92902014172634,"endHours":10.658881014667855,"quality":"inauspicious"},{"name":"Udveg","start":"10:40","end":"12:23","startHours":10.658881014667855,"endHours":12.38874188760937,"quality":"inauspicious"},{"name":"Chala","start":"12:23","end":"14:07","startHours":12.38874188760937,"endHours":14.118602760550885,"quality":"neutral"},{"name":"Labha","start":"14:07","end":"15:51","startHours":14.118602760550885,"endHours":15.8484636334924,"quality":"auspicious"},{"name":"Amṛta","start":"15:51","end":"17:35","startHours":15.8484636334924,"endHours":17.578324506433916,"quality":"auspicious"},{"name":"Kāla","start":"17:35","end":"19:18","startHours":17.578324506433916,"endHours":19.30818537937543,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:18","end":"20:35","startHours":19.30818537937543,"endHours":20.578324506433916,"quality":"auspicious"},{"name":"Amṛta","start":"20:35","end":"21:51","startHours":20.578324506433916,"endHours":21.8484636334924,"quality":"auspicious"},{"name":"Kāla","start":"21:51","end":"23:07","startHours":21.8484636334924,"endHours":23.118602760550885,"quality":"inauspicious"},{"name":"Śubha","start":"23:07","end":"00:23","startHours":23.118602760550885,"endHours":24.38874188760937,"quality":"auspicious"},{"name":"Roga","start":"00:23","end":"01:40","startHours":24.38874188760937,"endHours":25.658881014667855,"quality":"inauspicious"},{"name":"Udveg","start":"01:40","end":"02:56","startHours":25.658881014667855,"endHours":26.92902014172634,"quality":"inauspicious"},{"name":"Chala","start":"02:56","end":"04:12","startHours":26.92902014172634,"endHours":28.199159268784825,"quality":"neutral"},{"name":"Labha","start":"04:12","end":"05:28","startHours":28.199159268784825,"endHours":29.46929839584331,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.46929839584331,"endHours":6.46929839584331,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.46929839584331,"endHours":7.46929839584331,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.46929839584331,"endHours":8.46929839584331,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.46929839584331,"endHours":9.46929839584331,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.46929839584331,"endHours":10.46929839584331,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.46929839584331,"endHours":11.46929839584331,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.46929839584331,"endHours":12.46929839584331,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.46929839584331,"endHours":13.46929839584331,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.46929839584331,"endHours":14.46929839584331,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.46929839584331,"endHours":15.46929839584331,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.46929839584331,"endHours":16.46929839584331,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.46929839584331,"endHours":17.46929839584331,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.46929839584331,"endHours":18.46929839584331,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.46929839584331,"endHours":19.46929839584331,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.46929839584331,"endHours":20.46929839584331,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.46929839584331,"endHours":21.46929839584331,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.46929839584331,"endHours":22.46929839584331,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.46929839584331,"endHours":23.46929839584331,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.46929839584331,"endHours":24.46929839584331,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.46929839584331,"endHours":25.46929839584331,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.46929839584331,"endHours":26.46929839584331,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.46929839584331,"endHours":27.46929839584331,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.46929839584331,"endHours":28.46929839584331,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.46929839584331,"endHours":29.46929839584331,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":22.97158531617039,"eotMinutes":-4.019313256562166,"ayanamsa":22.8961}},"calendars":{"vikram_samvat":1988,"vikram_samvatsara":"Tāraṇa","saka_samvat":1853,"saka_samvatsara":"Prajāpati","bengali_samvat":1338,"malayalam_era":1107,"nanakshahi_year":462,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Pañcamī · Vikram 1988 Tāraṇa · Śaka 1853 Prajāpati"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"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 July 4, 1931 CE · Mathurā · Vidhyamitra","description":"July 4, 1931 CE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 05:28, sūryāsta 19:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1931-07-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1931-07-04","sa":"https://sa.vidhyamitra.com/city/mathura/1931-07-04","hi":"https://hi.vidhyamitra.com/city/mathura/1931-07-04","x-default":"https://vidhyamitra.com/city/mathura/1931-07-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:02:40.430Z","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":"2026-05-14T16:02:40.430Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:02:40.430Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}