{"id":"vidhyamitra:city-day:mathura:2091-07-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2091-07-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2091-07-04","date_display":"July 4, 2091 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":2091,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484966.770833,"kali_year":5193,"ahargana":1896501.2708,"sun":{"sidereal_longitude":76.6994,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":294.9995,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.3001,"elapsed_within_tithi_degrees":2.3001},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":294.9995,"elapsed_within_degrees":1.6662},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":11.6989},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2091,"month":7,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2484966.770833,"ahargana":1896501.2708,"kali_year":5193,"ayanamsa_lahiri":25.1313,"grahas":{"sun":{"sidereal_longitude":77.26555300000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":294.32845299999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false,"latitude":1.4813},"mars":{"sidereal_longitude":155.18985299999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":101.33405299999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":262.19535299999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":70.19975299999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":64.99335300000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":134.2361,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":314.2361,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":2091,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484966.770833,"kali_year":5193,"ahargana":1896501.2708,"sun":{"sidereal_longitude":76.6994,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":294.9995,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.3001,"elapsed_within_tithi_degrees":2.3001},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":294.9995,"elapsed_within_degrees":1.6662},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":11.6989},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.481,"elongation":141.7},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.481,"opposition_distance":38.3}},"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":13.829260741644354,"dayLengthDisplay":"13 Hours 49 Mins 45 Secs","nightLengthDisplay":"10 Hours 10 Mins 15 Secs","moonriseLocal":"21:21","moonsetLocal":"08:22","rahuKala":{"name":"Rāhu Kāla","start":"12:23","end":"14:07","startHours":12.38874188760937,"endHours":14.117399480314916,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:12","end":"08:56","startHours":7.202769109492737,"endHours":8.93142670219828,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:40","end":"12:23","startHours":10.660084294903825,"endHours":12.38874188760937,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:42","end":"09:10","startHours":8.700939023170875,"endHours":9.161914381225687,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:25","startHours":6.050330714355707,"endHours":6.419111000799556,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:51","startHours":11.927766529554559,"endHours":12.849717245664182,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:38","end":"04:33","startHours":3.630210084567945,"endHours":4.5521608006775685,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:19","end":"05:28","startHours":4.3216731216501625,"endHours":5.474111516787192,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.693618677883428,"endHours":15.615569393993052,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:06","end":"19:30","startHours":19.10337225843155,"endHours":19.503372258431547,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:18","end":"19:53","startHours":19.303372258431548,"endHours":19.879591456000064,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:03","end":"20:48","startHours":19.053372258431548,"endHours":20.803372258431548,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:51","startHours":23.92776652955456,"endHours":24.84971724566418,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:28","end":"07:12","startHours":5.474111516787192,"endHours":7.202769109492737,"quality":"auspicious"},{"name":"Amṛta","start":"07:12","end":"08:56","startHours":7.202769109492737,"endHours":8.93142670219828,"quality":"auspicious"},{"name":"Kāla","start":"08:56","end":"10:40","startHours":8.93142670219828,"endHours":10.660084294903825,"quality":"inauspicious"},{"name":"Śubha","start":"10:40","end":"12:23","startHours":10.660084294903825,"endHours":12.38874188760937,"quality":"auspicious"},{"name":"Roga","start":"12:23","end":"14:07","startHours":12.38874188760937,"endHours":14.117399480314916,"quality":"inauspicious"},{"name":"Udveg","start":"14:07","end":"15:51","startHours":14.117399480314916,"endHours":15.846057073020457,"quality":"inauspicious"},{"name":"Chala","start":"15:51","end":"17:34","startHours":15.846057073020457,"endHours":17.574714665726002,"quality":"neutral"},{"name":"Labha","start":"17:34","end":"19:18","startHours":17.574714665726002,"endHours":19.303372258431548,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:18","end":"20:34","startHours":19.303372258431548,"endHours":20.574714665726002,"quality":"inauspicious"},{"name":"Chala","start":"20:34","end":"21:51","startHours":20.574714665726002,"endHours":21.84605707302046,"quality":"neutral"},{"name":"Labha","start":"21:51","end":"23:07","startHours":21.84605707302046,"endHours":23.117399480314916,"quality":"auspicious"},{"name":"Amṛta","start":"23:07","end":"00:23","startHours":23.117399480314916,"endHours":24.38874188760937,"quality":"auspicious"},{"name":"Kāla","start":"00:23","end":"01:40","startHours":24.38874188760937,"endHours":25.660084294903825,"quality":"inauspicious"},{"name":"Śubha","start":"01:40","end":"02:56","startHours":25.660084294903825,"endHours":26.93142670219828,"quality":"auspicious"},{"name":"Roga","start":"02:56","end":"04:12","startHours":26.93142670219828,"endHours":28.20276910949274,"quality":"inauspicious"},{"name":"Udveg","start":"04:12","end":"05:28","startHours":28.20276910949274,"endHours":29.474111516787193,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.474111516787192,"endHours":6.474111516787192,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.474111516787192,"endHours":7.474111516787192,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.474111516787192,"endHours":8.474111516787193,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.474111516787193,"endHours":9.474111516787193,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.474111516787193,"endHours":10.474111516787193,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.474111516787193,"endHours":11.474111516787193,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.474111516787193,"endHours":12.474111516787193,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.474111516787193,"endHours":13.474111516787193,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.474111516787193,"endHours":14.474111516787193,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.474111516787193,"endHours":15.474111516787193,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.474111516787193,"endHours":16.474111516787193,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.474111516787193,"endHours":17.474111516787193,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.474111516787193,"endHours":18.474111516787193,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.474111516787193,"endHours":19.474111516787193,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.474111516787193,"endHours":20.474111516787193,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.474111516787193,"endHours":21.474111516787193,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.474111516787193,"endHours":22.474111516787193,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.474111516787193,"endHours":23.474111516787193,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.474111516787193,"endHours":24.474111516787193,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.474111516787193,"endHours":25.474111516787193,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.474111516787193,"endHours":26.474111516787193,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.474111516787193,"endHours":27.474111516787193,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.474111516787193,"endHours":28.474111516787193,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.474111516787193,"endHours":29.474111516787193,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhvaja","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":22.85864529029224,"eotMinutes":-4.019313256562166,"ayanamsa":25.1313}},"calendars":{"vikram_samvat":2148,"vikram_samvatsara":"Raktākṣī","saka_samvat":2013,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1498,"malayalam_era":1267,"nanakshahi_year":622,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Caturthī · Vikram 2148 Raktākṣī · Śaka 2013 Virodhakṛt"},"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},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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, 2091 CE · Mathurā · Vidhyamitra","description":"July 4, 2091 CE for Mathurā: Kṛṣṇa Caturthī, sūryodaya 05:28, sūryāsta 19:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2091-07-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2091-07-04","sa":"https://sa.vidhyamitra.com/city/mathura/2091-07-04","hi":"https://hi.vidhyamitra.com/city/mathura/2091-07-04","x-default":"https://vidhyamitra.com/city/mathura/2091-07-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T21:34:06.665Z","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":"2026-05-14T21:34:06.665Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T21:34:06.665Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}