{"id":"vidhyamitra:city-day:mathura:2075-07-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2075-07-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-07-11","date_display":"July 11, 2075 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":2075,"month":7,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479129.770833,"kali_year":5177,"ahargana":1890664.2708,"sun":{"sidereal_longitude":83.4577,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":58.6336,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":335.1759,"elapsed_within_tithi_degrees":11.1759},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":58.6336,"elapsed_within_degrees":5.3003},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":142.0913},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":2075,"month":7,"day":11,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479129.770833,"ahargana":1890664.2708,"kali_year":5177,"ayanamsa_lahiri":24.908,"grahas":{"sun":{"sidereal_longitude":84.03456900000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":59.963369,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false,"latitude":-1.8913},"mars":{"sidereal_longitude":54.86976900000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":82.95826899999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":134.98656900000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":77.87106900000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":227.14776900000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":83.5084,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":263.5084,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2075,"month":7,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479129.770833,"kali_year":5177,"ahargana":1890664.2708,"sun":{"sidereal_longitude":83.4577,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":58.6336,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":335.1759,"elapsed_within_tithi_degrees":11.1759},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":58.6336,"elapsed_within_degrees":5.3003},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":142.0913},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.891,"elongation":24.824},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.891,"opposition_distance":155.176}},"eclipse_window_40days":[{"offset_days":2,"type":"solar","occurs":true,"moon_latitude":0.029,"elongation":1.585}]},"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":"05:31","sunsetLocal":"19:17","solarNoonLocal":"12:24","dayLengthHours":13.764934375264005,"dayLengthDisplay":"13 Hours 45 Mins 54 Secs","nightLengthDisplay":"10 Hours 14 Mins 06 Secs","moonriseLocal":"03:53","moonsetLocal":"17:43","rahuKala":{"name":"Rāhu Kāla","start":"14:08","end":"15:51","startHours":14.127520310072878,"endHours":15.848137106980879,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:31","end":"07:15","startHours":5.524436325532876,"endHours":7.2450531224408765,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:58","end":"10:41","startHours":8.965669919348876,"endHours":10.686286716256877,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:44","end":"09:12","startHours":8.73625434642781,"endHours":9.195085492269945,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:06","end":"06:28","startHours":6.097975257835543,"endHours":6.46504017450925,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.948072367322744,"endHours":12.86573465900701,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:41","end":"04:36","startHours":3.689111742164342,"endHours":4.606774033848609,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:23","end":"05:31","startHours":4.377358460927542,"endHours":5.524436325532876,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.701059242375546,"endHours":15.618721534059814,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.08937070079688,"endHours":19.48937070079688,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:52","startHours":19.28937070079688,"endHours":19.862909633099548,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.03937070079688,"endHours":20.78937070079688,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.948072367322744,"endHours":24.86573465900701,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:31","end":"07:15","startHours":5.524436325532876,"endHours":7.2450531224408765,"quality":"auspicious"},{"name":"Roga","start":"07:15","end":"08:58","startHours":7.2450531224408765,"endHours":8.965669919348876,"quality":"inauspicious"},{"name":"Udveg","start":"08:58","end":"10:41","startHours":8.965669919348876,"endHours":10.686286716256877,"quality":"inauspicious"},{"name":"Chala","start":"10:41","end":"12:24","startHours":10.686286716256877,"endHours":12.406903513164877,"quality":"neutral"},{"name":"Labha","start":"12:24","end":"14:08","startHours":12.406903513164877,"endHours":14.127520310072878,"quality":"auspicious"},{"name":"Amṛta","start":"14:08","end":"15:51","startHours":14.127520310072878,"endHours":15.848137106980879,"quality":"auspicious"},{"name":"Kāla","start":"15:51","end":"17:34","startHours":15.848137106980879,"endHours":17.56875390388888,"quality":"inauspicious"},{"name":"Śubha","start":"17:34","end":"19:17","startHours":17.56875390388888,"endHours":19.28937070079688,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:17","end":"20:34","startHours":19.28937070079688,"endHours":20.56875390388888,"quality":"auspicious"},{"name":"Kāla","start":"20:34","end":"21:51","startHours":20.56875390388888,"endHours":21.84813710698088,"quality":"inauspicious"},{"name":"Śubha","start":"21:51","end":"23:08","startHours":21.84813710698088,"endHours":23.127520310072878,"quality":"auspicious"},{"name":"Roga","start":"23:08","end":"00:24","startHours":23.127520310072878,"endHours":24.406903513164877,"quality":"inauspicious"},{"name":"Udveg","start":"00:24","end":"01:41","startHours":24.406903513164877,"endHours":25.686286716256877,"quality":"inauspicious"},{"name":"Chala","start":"01:41","end":"02:58","startHours":25.686286716256877,"endHours":26.965669919348876,"quality":"neutral"},{"name":"Labha","start":"02:58","end":"04:15","startHours":26.965669919348876,"endHours":28.245053122440876,"quality":"auspicious"},{"name":"Amṛta","start":"04:15","end":"05:31","startHours":28.245053122440876,"endHours":29.524436325532875,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:31","end":"06:31","startHours":5.524436325532876,"endHours":6.524436325532876,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:31","end":"07:31","startHours":6.524436325532876,"endHours":7.524436325532876,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:31","end":"08:31","startHours":7.524436325532876,"endHours":8.524436325532875,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:31","end":"09:31","startHours":8.524436325532875,"endHours":9.524436325532875,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:31","end":"10:31","startHours":9.524436325532875,"endHours":10.524436325532875,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:31","end":"11:31","startHours":10.524436325532875,"endHours":11.524436325532875,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:31","end":"12:31","startHours":11.524436325532875,"endHours":12.524436325532875,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:31","end":"13:31","startHours":12.524436325532875,"endHours":13.524436325532875,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:31","end":"14:31","startHours":13.524436325532875,"endHours":14.524436325532875,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:31","end":"15:31","startHours":14.524436325532875,"endHours":15.524436325532875,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:31","end":"16:31","startHours":15.524436325532875,"endHours":16.524436325532875,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:31","end":"17:31","startHours":16.524436325532875,"endHours":17.524436325532875,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:31","end":"18:31","startHours":17.524436325532875,"endHours":18.524436325532875,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:31","end":"19:31","startHours":18.524436325532875,"endHours":19.524436325532875,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:31","end":"20:31","startHours":19.524436325532875,"endHours":20.524436325532875,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:31","end":"21:31","startHours":20.524436325532875,"endHours":21.524436325532875,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:31","end":"22:31","startHours":21.524436325532875,"endHours":22.524436325532875,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:31","end":"23:31","startHours":22.524436325532875,"endHours":23.524436325532875,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:31","end":"00:31","startHours":23.524436325532875,"endHours":24.524436325532875,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:31","end":"01:31","startHours":24.524436325532875,"endHours":25.524436325532875,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:31","end":"02:31","startHours":25.524436325532875,"endHours":26.524436325532875,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:31","end":"03:31","startHours":26.524436325532875,"endHours":27.524436325532875,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:31","end":"04:31","startHours":27.524436325532875,"endHours":28.524436325532875,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:31","end":"05:31","startHours":28.524436325532875,"endHours":29.524436325532875,"planetary_lord":"Moon"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Amṛta","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":22.09806894188878,"eotMinutes":-5.10901078989257,"ayanamsa":24.908}},"calendars":{"vikram_samvat":2132,"vikram_samvatsara":"Kīlaka","saka_samvat":1997,"saka_samvatsara":"Manmatha","bengali_samvat":1482,"malayalam_era":1251,"nanakshahi_year":606,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Trayodaśī · Vikram 2132 Kīlaka · Śaka 1997 Manmatha"},"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":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 July 11, 2075 CE · Mathurā · Vidhyamitra","description":"July 11, 2075 CE for Mathurā: Kṛṣṇa Trayodaśī, sūryodaya 05:31, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2075-07-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2075-07-11","sa":"https://sa.vidhyamitra.com/city/mathura/2075-07-11","hi":"https://hi.vidhyamitra.com/city/mathura/2075-07-11","x-default":"https://vidhyamitra.com/city/mathura/2075-07-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:45:03.095Z","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":"2026-05-14T15:45:03.095Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:45:03.095Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}