{"id":"vidhyamitra:city-day:mathura:2041-03-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2041-03-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2041-03-13","date_display":"March 13, 2041 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":2041,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466591.770833,"kali_year":5142,"ahargana":1878126.2708,"sun":{"sidereal_longitude":328.4855,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":93.6976,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":125.2121,"elapsed_within_tithi_degrees":5.2121},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":93.6976,"elapsed_within_degrees":0.3643},"yoga":{"number":5,"name":"Śobhana","sum_longitude":62.1831},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"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":2041,"month":3,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466591.770833,"ahargana":1878126.2708,"kali_year":5142,"ayanamsa_lahiri":24.4285,"grahas":{"sun":{"sidereal_longitude":328.40581299999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":95.75431300000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false,"latitude":4.1059},"mars":{"sidereal_longitude":307.24101300000007,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":303.1673129999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":185.883513,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":336.321213,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":177.95171299999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":27.832,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":207.832,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2041,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466591.770833,"kali_year":5142,"ahargana":1878126.2708,"sun":{"sidereal_longitude":328.4855,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":93.6976,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":125.2121,"elapsed_within_tithi_degrees":5.2121},"nakshatra":{"number":8,"name":"Puṣya","pada":1,"moon_longitude":93.6976,"elapsed_within_degrees":0.3643},"yoga":{"number":5,"name":"Śobhana","sum_longitude":62.1831},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.106,"elongation":125.212},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.106,"opposition_distance":54.788}},"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":"06:32","sunsetLocal":"18:27","solarNoonLocal":"12:30","dayLengthHours":11.927873475467635,"dayLengthDisplay":"11 Hours 55 Mins 40 Secs","nightLengthDisplay":"12 Hours 04 Mins 20 Secs","moonriseLocal":"14:12","moonsetLocal":"03:46","rahuKala":{"name":"Rāhu Kāla","start":"12:30","end":"13:59","startHours":12.49205199881348,"endHours":13.983036183246934,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:01","end":"09:31","startHours":8.019099445513117,"endHours":9.510083629946571,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:00","end":"12:30","startHours":11.001067814380026,"endHours":12.49205199881348,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:19","end":"09:43","startHours":9.311285738688778,"endHours":9.708881521204365,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:02","end":"07:21","startHours":7.025109989224147,"endHours":7.3431866152366165,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:53","startHours":12.094456216297893,"endHours":12.889647781329067,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:56","end":"05:44","startHours":4.93773213101731,"endHours":5.732923696048486,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:32","end":"06:32","startHours":5.534125804790692,"endHours":6.528115261079662,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:17","startHours":14.480030911391419,"endHours":15.275222476422595,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:15","end":"18:39","startHours":18.255988736547298,"endHours":18.655988736547297,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:27","end":"18:57","startHours":18.455988736547297,"endHours":18.952983464691783,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:12","end":"19:57","startHours":18.205988736547297,"endHours":19.955988736547297,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:53","startHours":24.094456216297893,"endHours":24.889647781329067,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:32","end":"08:01","startHours":6.528115261079662,"endHours":8.019099445513117,"quality":"auspicious"},{"name":"Amṛta","start":"08:01","end":"09:31","startHours":8.019099445513117,"endHours":9.510083629946571,"quality":"auspicious"},{"name":"Kāla","start":"09:31","end":"11:00","startHours":9.510083629946571,"endHours":11.001067814380026,"quality":"inauspicious"},{"name":"Śubha","start":"11:00","end":"12:30","startHours":11.001067814380026,"endHours":12.49205199881348,"quality":"auspicious"},{"name":"Roga","start":"12:30","end":"13:59","startHours":12.49205199881348,"endHours":13.983036183246934,"quality":"inauspicious"},{"name":"Udveg","start":"13:59","end":"15:28","startHours":13.983036183246934,"endHours":15.474020367680389,"quality":"inauspicious"},{"name":"Chala","start":"15:28","end":"16:58","startHours":15.474020367680389,"endHours":16.965004552113843,"quality":"neutral"},{"name":"Labha","start":"16:58","end":"18:27","startHours":16.965004552113843,"endHours":18.455988736547297,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:27","end":"19:58","startHours":18.455988736547297,"endHours":19.965004552113843,"quality":"inauspicious"},{"name":"Chala","start":"19:58","end":"21:28","startHours":19.965004552113843,"endHours":21.47402036768039,"quality":"neutral"},{"name":"Labha","start":"21:28","end":"22:59","startHours":21.47402036768039,"endHours":22.983036183246934,"quality":"auspicious"},{"name":"Amṛta","start":"22:59","end":"00:30","startHours":22.983036183246934,"endHours":24.49205199881348,"quality":"auspicious"},{"name":"Kāla","start":"00:30","end":"02:00","startHours":24.49205199881348,"endHours":26.001067814380026,"quality":"inauspicious"},{"name":"Śubha","start":"02:00","end":"03:31","startHours":26.001067814380026,"endHours":27.51008362994657,"quality":"auspicious"},{"name":"Roga","start":"03:31","end":"05:01","startHours":27.51008362994657,"endHours":29.019099445513117,"quality":"inauspicious"},{"name":"Udveg","start":"05:01","end":"06:32","startHours":29.019099445513117,"endHours":30.528115261079662,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.528115261079662,"endHours":7.528115261079662,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.528115261079662,"endHours":8.528115261079662,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.528115261079662,"endHours":9.528115261079662,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.528115261079662,"endHours":10.528115261079662,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.528115261079662,"endHours":11.528115261079662,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.528115261079662,"endHours":12.528115261079662,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.528115261079662,"endHours":13.528115261079662,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.528115261079662,"endHours":14.528115261079662,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.528115261079662,"endHours":15.528115261079662,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.528115261079662,"endHours":16.528115261079662,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.528115261079662,"endHours":17.528115261079662,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.528115261079662,"endHours":18.528115261079662,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.528115261079662,"endHours":19.528115261079662,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.528115261079662,"endHours":20.528115261079662,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.528115261079662,"endHours":21.528115261079662,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.528115261079662,"endHours":22.528115261079662,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.528115261079662,"endHours":23.528115261079662,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.528115261079662,"endHours":24.528115261079662,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.528115261079662,"endHours":25.528115261079662,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.528115261079662,"endHours":26.528115261079662,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.528115261079662,"endHours":27.528115261079662,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.528115261079662,"endHours":28.528115261079662,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.528115261079662,"endHours":29.528115261079662,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.528115261079662,"endHours":30.528115261079662,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Śiśira (Winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-2.8437699271407597,"eotMinutes":-10.217919928808794,"ayanamsa":24.4285}},"calendars":{"vikram_samvat":2098,"vikram_samvatsara":"Bhāva","saka_samvat":1963,"saka_samvatsara":"Durmati","bengali_samvat":1448,"malayalam_era":1217,"nanakshahi_year":572,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Śukla Ekādaśī · Vikram 2098 Bhāva · Śaka 1963 Durmati"},"festivals":[{"id":"amalaki-ekadashi","name":"Āmalakī Ekādaśī","name_sanskrit":"आमलकी एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu (in Āmalakī tree)","significance":"Worship of Āmalakī (Indian gooseberry, sacred to Viṣṇu).","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Phālguna"},"precedence":4},{"id":"rangbhari-ekadashi","name":"Raṅgbhari Ekādaśī","name_sanskrit":"रङ्गभरी एकादशी","tradition":"Shaiva","associated_deity":"Śiva-Pārvatī","significance":"Kāśī tradition: Śiva brings Pārvatī home; rang-utsava begins.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Phālguna"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5},{"id":"kumbha-sankranti","name":"Kumbha Saṅkrānti","name_sanskrit":"कुम्भ सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aquarius; Kumbha-māsa begins.","vrata":false,"detection":{"sun_rashi":"Kumbha"},"precedence":5}],"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 March 13, 2041 CE · Mathurā · Vidhyamitra","description":"March 13, 2041 CE for Mathurā: Śukla Ekādaśī, sūryodaya 06:32, sūryāsta 18:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2041-03-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2041-03-13","sa":"https://sa.vidhyamitra.com/city/mathura/2041-03-13","hi":"https://hi.vidhyamitra.com/city/mathura/2041-03-13","x-default":"https://vidhyamitra.com/city/mathura/2041-03-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:56:43.924Z","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":"2026-05-14T14:56:43.924Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:56:43.924Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}