{"id":"vidhyamitra:city-day:mathura:2084-07-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2084-07-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2084-07-04","date_display":"July 4, 2084 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":2084,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482410.770833,"kali_year":5186,"ahargana":1893945.2708,"sun":{"sidereal_longitude":77.4673,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":89.9404,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.4732,"elapsed_within_tithi_degrees":0.4732},"nakshatra":{"number":7,"name":"Punarvasu","pada":3,"moon_longitude":89.9404,"elapsed_within_degrees":9.9404},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":167.4077},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2084,"month":7,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2482410.770833,"ahargana":1893945.2708,"kali_year":5186,"ayanamsa_lahiri":25.0335,"grahas":{"sun":{"sidereal_longitude":78.022111,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":88.57071099999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false,"latitude":-0.0216},"mars":{"sidereal_longitude":350.823611,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":102.74861099999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":62.32381099999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":33.256710999999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":338.466811,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":269.6652,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":89.6652,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":2084,"month":7,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2482410.770833,"kali_year":5186,"ahargana":1893945.2708,"sun":{"sidereal_longitude":77.4673,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":89.9404,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.4732,"elapsed_within_tithi_degrees":0.4732},"nakshatra":{"number":7,"name":"Punarvasu","pada":3,"moon_longitude":89.9404,"elapsed_within_degrees":9.9404},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":167.4077},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.022,"elongation":12.473},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.022,"opposition_distance":167.527}},"eclipse_window_40days":[{"offset_days":-1,"type":"solar","occurs":true,"moon_latitude":0.963,"elongation":0.825}]},"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":"05:29","sunsetLocal":"19:18","solarNoonLocal":"12:23","dayLengthHours":13.823931565774359,"dayLengthDisplay":"13 Hours 49 Mins 26 Secs","nightLengthDisplay":"10 Hours 10 Mins 34 Secs","moonriseLocal":"06:16","moonsetLocal":"19:55","rahuKala":{"name":"Rāhu Kāla","start":"15:51","end":"17:34","startHours":15.84472477905296,"endHours":17.572716224774755,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:56","end":"10:40","startHours":8.93275899616578,"endHours":10.660750441887576,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:23","end":"14:07","startHours":12.38874188760937,"endHours":14.116733333331165,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:42","end":"09:10","startHours":8.702360136736209,"endHours":9.163157855595355,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:25","startHours":6.052773253296124,"endHours":6.42141142838344,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:51","startHours":11.927944168750225,"endHours":12.849539606468516,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:38","end":"04:33","startHours":3.633585229285611,"endHours":4.555180667003901,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:19","end":"05:29","startHours":4.324781807574329,"endHours":5.476776104722192,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.692730481905098,"endHours":15.614325919623388,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:06","end":"19:30","startHours":19.10070767049655,"endHours":19.50070767049655,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:18","end":"19:53","startHours":19.30070767049655,"endHours":19.876704819070483,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:03","end":"20:48","startHours":19.05070767049655,"endHours":20.80070767049655,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:51","startHours":23.927944168750226,"endHours":24.849539606468515,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:29","end":"07:12","startHours":5.476776104722192,"endHours":7.204767550443987,"quality":"inauspicious"},{"name":"Udveg","start":"07:12","end":"08:56","startHours":7.204767550443987,"endHours":8.93275899616578,"quality":"inauspicious"},{"name":"Chala","start":"08:56","end":"10:40","startHours":8.93275899616578,"endHours":10.660750441887576,"quality":"neutral"},{"name":"Labha","start":"10:40","end":"12:23","startHours":10.660750441887576,"endHours":12.38874188760937,"quality":"auspicious"},{"name":"Amṛta","start":"12:23","end":"14:07","startHours":12.38874188760937,"endHours":14.116733333331165,"quality":"auspicious"},{"name":"Kāla","start":"14:07","end":"15:51","startHours":14.116733333331165,"endHours":15.84472477905296,"quality":"inauspicious"},{"name":"Śubha","start":"15:51","end":"17:34","startHours":15.84472477905296,"endHours":17.572716224774755,"quality":"auspicious"},{"name":"Roga","start":"17:34","end":"19:18","startHours":17.572716224774755,"endHours":19.30070767049655,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:18","end":"20:34","startHours":19.30070767049655,"endHours":20.572716224774755,"quality":"inauspicious"},{"name":"Śubha","start":"20:34","end":"21:51","startHours":20.572716224774755,"endHours":21.84472477905296,"quality":"auspicious"},{"name":"Roga","start":"21:51","end":"23:07","startHours":21.84472477905296,"endHours":23.116733333331165,"quality":"inauspicious"},{"name":"Udveg","start":"23:07","end":"00:23","startHours":23.116733333331165,"endHours":24.38874188760937,"quality":"inauspicious"},{"name":"Chala","start":"00:23","end":"01:40","startHours":24.38874188760937,"endHours":25.660750441887576,"quality":"neutral"},{"name":"Labha","start":"01:40","end":"02:56","startHours":25.660750441887576,"endHours":26.93275899616578,"quality":"auspicious"},{"name":"Amṛta","start":"02:56","end":"04:12","startHours":26.93275899616578,"endHours":28.204767550443986,"quality":"auspicious"},{"name":"Kāla","start":"04:12","end":"05:29","startHours":28.204767550443986,"endHours":29.47677610472219,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:29","end":"06:29","startHours":5.476776104722192,"endHours":6.476776104722192,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:29","end":"07:29","startHours":6.476776104722192,"endHours":7.476776104722192,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:29","end":"08:29","startHours":7.476776104722192,"endHours":8.476776104722191,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:29","end":"09:29","startHours":8.476776104722191,"endHours":9.476776104722191,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:29","end":"10:29","startHours":9.476776104722191,"endHours":10.476776104722191,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:29","end":"11:29","startHours":10.476776104722191,"endHours":11.476776104722191,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:29","end":"12:29","startHours":11.476776104722191,"endHours":12.476776104722191,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:29","end":"13:29","startHours":12.476776104722191,"endHours":13.476776104722191,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:29","end":"14:29","startHours":13.476776104722191,"endHours":14.476776104722191,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:29","end":"15:29","startHours":14.476776104722191,"endHours":15.476776104722191,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:29","end":"16:29","startHours":15.476776104722191,"endHours":16.47677610472219,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:29","end":"17:29","startHours":16.47677610472219,"endHours":17.47677610472219,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:29","end":"18:29","startHours":17.47677610472219,"endHours":18.47677610472219,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:29","end":"19:29","startHours":18.47677610472219,"endHours":19.47677610472219,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:29","end":"20:29","startHours":19.47677610472219,"endHours":20.47677610472219,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:29","end":"21:29","startHours":20.47677610472219,"endHours":21.47677610472219,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:29","end":"22:29","startHours":21.47677610472219,"endHours":22.47677610472219,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:29","end":"23:29","startHours":22.47677610472219,"endHours":23.47677610472219,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:29","end":"00:29","startHours":23.47677610472219,"endHours":24.47677610472219,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:29","end":"01:29","startHours":24.47677610472219,"endHours":25.47677610472219,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:29","end":"02:29","startHours":25.47677610472219,"endHours":26.47677610472219,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:29","end":"03:29","startHours":26.47677610472219,"endHours":27.47677610472219,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:29","end":"04:29","startHours":27.47677610472219,"endHours":28.47677610472219,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:29","end":"05:29","startHours":28.47677610472219,"endHours":29.47677610472219,"planetary_lord":"Saturn"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Lumba","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":22.79602204111208,"eotMinutes":-4.019313256562166,"ayanamsa":25.0335}},"calendars":{"vikram_samvat":2141,"vikram_samvatsara":"Piṅgala","saka_samvat":2006,"saka_samvatsara":"Krodhi","bengali_samvat":1491,"malayalam_era":1260,"nanakshahi_year":615,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Dvitīyā · Vikram 2141 Piṅgala · Śaka 2006 Krodhi"},"festivals":[{"id":"ratha-yatra","name":"Ratha-Yātrā (Jagannātha Puri)","name_sanskrit":"रथ यात्रा","tradition":"Vaishnava","associated_deity":"Jagannātha (Krishna) + Balarāma + Subhadrā","significance":"Jagannātha's annual ratha-yātrā at Puri.","vrata":false,"detection":{"tithi_number":2,"tithi_paksha":"Śukla","lunar_month":"Āṣāḍha"},"precedence":2},{"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","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 4, 2084 CE · Mathurā · Vidhyamitra","description":"July 4, 2084 CE for Mathurā: Śukla Dvitīyā, sūryodaya 05:29, sūryāsta 19:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2084-07-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2084-07-04","sa":"https://sa.vidhyamitra.com/city/mathura/2084-07-04","hi":"https://hi.vidhyamitra.com/city/mathura/2084-07-04","x-default":"https://vidhyamitra.com/city/mathura/2084-07-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:32:10.670Z","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":"2026-05-14T18:32:10.670Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T18:32:10.670Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}