{"id":"vidhyamitra:city-day:mathura:2065-08-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2065-08-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2065-08-04","date_display":"August 4, 2065 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":2065,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475501.770833,"kali_year":5167,"ahargana":1887036.2708,"sun":{"sidereal_longitude":106.7807,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":128.6767,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":21.896,"elapsed_within_tithi_degrees":9.896},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.6767,"elapsed_within_degrees":8.6767},"yoga":{"number":18,"name":"Varīyān","sum_longitude":235.4574},"karana":{"half_tithi_index":3,"name":"Kaulava"},"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":2065,"month":8,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2475501.770833,"ahargana":1887036.2708,"kali_year":5167,"ayanamsa_lahiri":24.7693,"grahas":{"sun":{"sidereal_longitude":107.49058600000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":129.689486,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":-2.4451},"mars":{"sidereal_longitude":261.18688599999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":89.623086,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":187.60738600000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":71.57928600000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":111.28448600000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":275.7373,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":95.7373,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"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":2065,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2475501.770833,"kali_year":5167,"ahargana":1887036.2708,"sun":{"sidereal_longitude":106.7807,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":128.6767,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":21.896,"elapsed_within_tithi_degrees":9.896},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.6767,"elapsed_within_degrees":8.6767},"yoga":{"number":18,"name":"Varīyān","sum_longitude":235.4574},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.445,"elongation":21.896},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.445,"opposition_distance":158.104}},"eclipse_window_40days":[{"offset_days":-2,"type":"solar","occurs":true,"moon_latitude":-0.474,"elongation":2.983}]},"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":"05:44","sunsetLocal":"19:06","solarNoonLocal":"12:25","dayLengthHours":13.362728360987978,"dayLengthDisplay":"13 Hours 21 Mins 46 Secs","nightLengthDisplay":"10 Hours 38 Mins 14 Secs","moonriseLocal":"07:30","moonsetLocal":"20:17","rahuKala":{"name":"Rāhu Kāla","start":"15:46","end":"17:26","startHours":15.758999847980958,"endHours":17.429340893104456,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:05","end":"10:45","startHours":9.07763566748697,"endHours":10.747976712610466,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:25","end":"14:05","startHours":12.418317757733963,"endHours":14.088658802857461,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:18","startHours":8.854923528137169,"endHours":9.300347806836768,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:18","end":"06:39","startHours":6.2937339256144735,"endHours":6.650073348574153,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.972893479034365,"endHours":12.863742036433564,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:57","end":"04:51","startHours":3.955256462441578,"endHours":4.846105019840776,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:37","end":"05:44","startHours":4.623392880490977,"endHours":5.736953577239975,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:32","startHours":14.64543915123196,"endHours":15.536287708631159,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:54","end":"19:18","startHours":18.899681938227953,"endHours":19.299681938227952,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:06","end":"19:39","startHours":19.099681938227953,"endHours":19.65646228660245,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:51","end":"20:36","startHours":18.849681938227953,"endHours":20.599681938227953,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.97289347903437,"endHours":24.863742036433564,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:44","end":"07:24","startHours":5.736953577239975,"endHours":7.407294622363472,"quality":"inauspicious"},{"name":"Udveg","start":"07:24","end":"09:05","startHours":7.407294622363472,"endHours":9.07763566748697,"quality":"inauspicious"},{"name":"Chala","start":"09:05","end":"10:45","startHours":9.07763566748697,"endHours":10.747976712610466,"quality":"neutral"},{"name":"Labha","start":"10:45","end":"12:25","startHours":10.747976712610466,"endHours":12.418317757733963,"quality":"auspicious"},{"name":"Amṛta","start":"12:25","end":"14:05","startHours":12.418317757733963,"endHours":14.088658802857461,"quality":"auspicious"},{"name":"Kāla","start":"14:05","end":"15:46","startHours":14.088658802857461,"endHours":15.758999847980958,"quality":"inauspicious"},{"name":"Śubha","start":"15:46","end":"17:26","startHours":15.758999847980958,"endHours":17.429340893104456,"quality":"auspicious"},{"name":"Roga","start":"17:26","end":"19:06","startHours":17.429340893104456,"endHours":19.099681938227953,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:06","end":"20:26","startHours":19.099681938227953,"endHours":20.429340893104456,"quality":"inauspicious"},{"name":"Śubha","start":"20:26","end":"21:46","startHours":20.429340893104456,"endHours":21.75899984798096,"quality":"auspicious"},{"name":"Roga","start":"21:46","end":"23:05","startHours":21.75899984798096,"endHours":23.08865880285746,"quality":"inauspicious"},{"name":"Udveg","start":"23:05","end":"00:25","startHours":23.08865880285746,"endHours":24.418317757733963,"quality":"inauspicious"},{"name":"Chala","start":"00:25","end":"01:45","startHours":24.418317757733963,"endHours":25.747976712610466,"quality":"neutral"},{"name":"Labha","start":"01:45","end":"03:05","startHours":25.747976712610466,"endHours":27.07763566748697,"quality":"auspicious"},{"name":"Amṛta","start":"03:05","end":"04:24","startHours":27.07763566748697,"endHours":28.407294622363473,"quality":"auspicious"},{"name":"Kāla","start":"04:24","end":"05:44","startHours":28.407294622363473,"endHours":29.736953577239973,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:44","end":"06:44","startHours":5.736953577239975,"endHours":6.736953577239975,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:44","end":"07:44","startHours":6.736953577239975,"endHours":7.736953577239975,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:44","end":"08:44","startHours":7.736953577239975,"endHours":8.736953577239975,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:44","end":"09:44","startHours":8.736953577239975,"endHours":9.736953577239975,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:44","end":"10:44","startHours":9.736953577239975,"endHours":10.736953577239975,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:44","end":"11:44","startHours":10.736953577239975,"endHours":11.736953577239975,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:44","end":"12:44","startHours":11.736953577239975,"endHours":12.736953577239975,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:44","end":"13:44","startHours":12.736953577239975,"endHours":13.736953577239975,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:44","end":"14:44","startHours":13.736953577239975,"endHours":14.736953577239975,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:44","end":"15:44","startHours":14.736953577239975,"endHours":15.736953577239975,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:44","end":"16:44","startHours":15.736953577239975,"endHours":16.736953577239973,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:44","end":"17:44","startHours":16.736953577239973,"endHours":17.736953577239973,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:44","end":"18:44","startHours":17.736953577239973,"endHours":18.736953577239973,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:44","end":"19:44","startHours":18.736953577239973,"endHours":19.736953577239973,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:44","end":"20:44","startHours":19.736953577239973,"endHours":20.736953577239973,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:44","end":"21:44","startHours":20.736953577239973,"endHours":21.736953577239973,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:44","end":"22:44","startHours":21.736953577239973,"endHours":22.736953577239973,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:44","end":"23:44","startHours":22.736953577239973,"endHours":23.736953577239973,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:44","end":"00:44","startHours":23.736953577239973,"endHours":24.736953577239973,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:44","end":"01:44","startHours":24.736953577239973,"endHours":25.736953577239973,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:44","end":"02:44","startHours":25.736953577239973,"endHours":26.736953577239973,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:44","end":"03:44","startHours":26.736953577239973,"endHours":27.736953577239973,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:44","end":"04:44","startHours":27.736953577239973,"endHours":28.736953577239973,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:44","end":"05:44","startHours":28.736953577239973,"endHours":29.736953577239973,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"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":17.119321903645233,"eotMinutes":-5.793865464037833,"ayanamsa":24.7693}},"calendars":{"vikram_samvat":2122,"vikram_samvatsara":"Vilambī","saka_samvat":1987,"saka_samvatsara":"Pārthiva","bengali_samvat":1472,"malayalam_era":1241,"nanakshahi_year":596,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Dvitīyā · Vikram 2122 Vilambī · Śaka 1987 Pārthiva"},"festivals":[{"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}],"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":[]},"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 4, 2065 CE · Mathurā · Vidhyamitra","description":"August 4, 2065 CE for Mathurā: Śukla Dvitīyā, sūryodaya 05:44, sūryāsta 19:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2065-08-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2065-08-04","sa":"https://sa.vidhyamitra.com/city/mathura/2065-08-04","hi":"https://hi.vidhyamitra.com/city/mathura/2065-08-04","x-default":"https://vidhyamitra.com/city/mathura/2065-08-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T13:41:52.975Z","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":"2026-05-14T13:41:52.975Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T13:41:52.975Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}