{"id":"vidhyamitra:city-day:mathura:2011-08-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2011-08-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2011-08-04","date_display":"August 4, 2011 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":2011,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455777.770833,"kali_year":5113,"ahargana":1867312.2708,"sun":{"sidereal_longitude":106.7549,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":162.2561,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":55.5012,"elapsed_within_tithi_degrees":7.5012},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":162.2561,"elapsed_within_degrees":2.2561},"yoga":{"number":21,"name":"Siddha","sum_longitude":269.0109},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2011,"month":8,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2455777.770833,"ahargana":1867312.2708,"kali_year":5113,"ayanamsa_lahiri":24.0149,"grahas":{"sun":{"sidereal_longitude":107.333687,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":165.09228699999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false,"latitude":-4.4103},"mars":{"sidereal_longitude":66.20938699999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":127.08338700000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":15.132386999999994,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":103.745387,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":168.30928700000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":240.8098,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":60.8098,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2011,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455777.770833,"kali_year":5113,"ahargana":1867312.2708,"sun":{"sidereal_longitude":106.7549,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":162.2561,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":55.5012,"elapsed_within_tithi_degrees":7.5012},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":162.2561,"elapsed_within_degrees":2.2561},"yoga":{"number":21,"name":"Siddha","sum_longitude":269.0109},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.41,"elongation":55.501},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.41,"opposition_distance":124.499}},"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":"05:44","sunsetLocal":"19:07","solarNoonLocal":"12:25","dayLengthHours":13.382470671056044,"dayLengthDisplay":"13 Hours 22 Mins 57 Secs","nightLengthDisplay":"10 Hours 37 Mins 03 Secs","moonriseLocal":"10:21","moonsetLocal":"22:11","rahuKala":{"name":"Rāhu Kāla","start":"14:05","end":"15:46","startHours":14.091126591615971,"endHours":15.763935425497976,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:44","end":"07:24","startHours":5.727082422205943,"endHours":7.399891256087949,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:04","end":"10:45","startHours":9.072700089969954,"endHours":10.745508923851961,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:18","startHours":8.84965891211902,"endHours":9.295741267820889,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:17","end":"06:38","startHours":6.284685366833278,"endHours":6.641551251394772,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.972235402032096,"endHours":12.864400113435833,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:57","end":"04:50","startHours":3.9427529993984707,"endHours":4.834917710802207,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:37","end":"05:44","startHours":4.611876532951273,"endHours":5.727082422205943,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:32","startHours":14.648729536243305,"endHours":15.540894247647042,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:55","end":"19:19","startHours":18.909553093261987,"endHours":19.309553093261986,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:07","end":"19:40","startHours":19.109553093261987,"endHours":19.66715603788932,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:52","end":"20:37","startHours":18.859553093261987,"endHours":20.609553093261987,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.972235402032098,"endHours":24.864400113435835,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:44","end":"07:24","startHours":5.727082422205943,"endHours":7.399891256087949,"quality":"auspicious"},{"name":"Roga","start":"07:24","end":"09:04","startHours":7.399891256087949,"endHours":9.072700089969954,"quality":"inauspicious"},{"name":"Udveg","start":"09:04","end":"10:45","startHours":9.072700089969954,"endHours":10.745508923851961,"quality":"inauspicious"},{"name":"Chala","start":"10:45","end":"12:25","startHours":10.745508923851961,"endHours":12.418317757733966,"quality":"neutral"},{"name":"Labha","start":"12:25","end":"14:05","startHours":12.418317757733966,"endHours":14.091126591615971,"quality":"auspicious"},{"name":"Amṛta","start":"14:05","end":"15:46","startHours":14.091126591615971,"endHours":15.763935425497976,"quality":"auspicious"},{"name":"Kāla","start":"15:46","end":"17:26","startHours":15.763935425497976,"endHours":17.43674425937998,"quality":"inauspicious"},{"name":"Śubha","start":"17:26","end":"19:07","startHours":17.43674425937998,"endHours":19.109553093261987,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:07","end":"20:26","startHours":19.109553093261987,"endHours":20.43674425937998,"quality":"auspicious"},{"name":"Kāla","start":"20:26","end":"21:46","startHours":20.43674425937998,"endHours":21.763935425497976,"quality":"inauspicious"},{"name":"Śubha","start":"21:46","end":"23:05","startHours":21.763935425497976,"endHours":23.09112659161597,"quality":"auspicious"},{"name":"Roga","start":"23:05","end":"00:25","startHours":23.09112659161597,"endHours":24.418317757733966,"quality":"inauspicious"},{"name":"Udveg","start":"00:25","end":"01:45","startHours":24.418317757733966,"endHours":25.745508923851958,"quality":"inauspicious"},{"name":"Chala","start":"01:45","end":"03:04","startHours":25.745508923851958,"endHours":27.072700089969953,"quality":"neutral"},{"name":"Labha","start":"03:04","end":"04:24","startHours":27.072700089969953,"endHours":28.399891256087948,"quality":"auspicious"},{"name":"Amṛta","start":"04:24","end":"05:44","startHours":28.399891256087948,"endHours":29.727082422205942,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:44","end":"06:44","startHours":5.727082422205943,"endHours":6.727082422205943,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:44","end":"07:44","startHours":6.727082422205943,"endHours":7.727082422205943,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:44","end":"08:44","startHours":7.727082422205943,"endHours":8.727082422205942,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:44","end":"09:44","startHours":8.727082422205942,"endHours":9.727082422205942,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:44","end":"10:44","startHours":9.727082422205942,"endHours":10.727082422205942,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:44","end":"11:44","startHours":10.727082422205942,"endHours":11.727082422205942,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:44","end":"12:44","startHours":11.727082422205942,"endHours":12.727082422205942,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:44","end":"13:44","startHours":12.727082422205942,"endHours":13.727082422205942,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:44","end":"14:44","startHours":13.727082422205942,"endHours":14.727082422205942,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:44","end":"15:44","startHours":14.727082422205942,"endHours":15.727082422205942,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:44","end":"16:44","startHours":15.727082422205942,"endHours":16.727082422205942,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:44","end":"17:44","startHours":16.727082422205942,"endHours":17.727082422205942,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:44","end":"18:44","startHours":17.727082422205942,"endHours":18.727082422205942,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:44","end":"19:44","startHours":18.727082422205942,"endHours":19.727082422205942,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:44","end":"20:44","startHours":19.727082422205942,"endHours":20.727082422205942,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:44","end":"21:44","startHours":20.727082422205942,"endHours":21.727082422205942,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:44","end":"22:44","startHours":21.727082422205942,"endHours":22.727082422205942,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:44","end":"23:44","startHours":22.727082422205942,"endHours":23.727082422205942,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:44","end":"00:44","startHours":23.727082422205942,"endHours":24.727082422205942,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:44","end":"01:44","startHours":24.727082422205942,"endHours":25.727082422205942,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:44","end":"02:44","startHours":25.727082422205942,"endHours":26.727082422205942,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:44","end":"03:44","startHours":26.727082422205942,"endHours":27.727082422205942,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:44","end":"04:44","startHours":27.727082422205942,"endHours":28.727082422205942,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:44","end":"05:44","startHours":28.727082422205942,"endHours":29.727082422205942,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Ānanda","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":17.372299831198212,"eotMinutes":-5.793865464037833,"ayanamsa":24.0149}},"calendars":{"vikram_samvat":2068,"vikram_samvatsara":"Krodhi","saka_samvat":1933,"saka_samvatsara":"Khara","bengali_samvat":1418,"malayalam_era":1187,"nanakshahi_year":542,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pañcamī · Vikram 2068 Krodhi · Śaka 1933 Khara"},"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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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, 2011 CE · Mathurā · Vidhyamitra","description":"August 4, 2011 CE for Mathurā: Śukla Pañcamī, sūryodaya 05:44, sūryāsta 19:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2011-08-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2011-08-04","sa":"https://sa.vidhyamitra.com/city/mathura/2011-08-04","hi":"https://hi.vidhyamitra.com/city/mathura/2011-08-04","x-default":"https://vidhyamitra.com/city/mathura/2011-08-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:21:23.081Z","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":"2026-05-14T18:21:23.081Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T18:21:23.081Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}