{"id":"vidhyamitra:city-day:mathura:2045-03-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2045-03-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-03-10","date_display":"March 10, 2045 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":2045,"month":3,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468049.770833,"kali_year":5146,"ahargana":1879584.2708,"sun":{"sidereal_longitude":325.4512,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":228.0759,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":262.6247,"elapsed_within_tithi_degrees":10.6247},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":228.0759,"elapsed_within_degrees":1.4093},"yoga":{"number":15,"name":"Vajra","sum_longitude":193.5271},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2045,"month":3,"day":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468049.770833,"ahargana":1879584.2708,"kali_year":5146,"ayanamsa_lahiri":24.4842,"grahas":{"sun":{"sidereal_longitude":325.38370699999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":229.97540700000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false,"latitude":-4.4615},"mars":{"sidereal_longitude":336.912507,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":340.102607,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":302.023407,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":322.555707,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":226.28990699999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":310.5801,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":130.5801,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2045,"month":3,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468049.770833,"kali_year":5146,"ahargana":1879584.2708,"sun":{"sidereal_longitude":325.4512,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":228.0759,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":262.6247,"elapsed_within_tithi_degrees":10.6247},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1,"moon_longitude":228.0759,"elapsed_within_degrees":1.4093},"yoga":{"number":15,"name":"Vajra","sum_longitude":193.5271},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.461,"elongation":97.375},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.461,"opposition_distance":82.625}},"eclipse_window_40days":[{"offset_days":-7,"type":"lunar","occurs":true,"moon_latitude":-0.367,"opposition_distance":2.796}]},"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":"06:35","sunsetLocal":"18:26","solarNoonLocal":"12:30","dayLengthHours":11.846652597796869,"dayLengthDisplay":"11 Hours 50 Mins 48 Secs","nightLengthDisplay":"12 Hours 09 Mins 12 Secs","moonriseLocal":"00:56","moonsetLocal":"11:22","rahuKala":{"name":"Rāhu Kāla","start":"11:01","end":"12:30","startHours":11.024670800372242,"endHours":12.50550237509685,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:28","end":"16:57","startHours":15.467165524546068,"endHours":16.947997099270676,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:04","end":"09:33","startHours":8.063007650923025,"endHours":9.543839225647634,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:21","end":"09:44","startHours":9.346395015684351,"endHours":9.741283435610914,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:05","end":"07:24","startHours":7.075786601106619,"endHours":7.3916973370478685,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:54","startHours":12.110613955170287,"endHours":12.900390795023412,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:00","end":"05:48","startHours":5.002622396492167,"endHours":5.792399236345291,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:36","end":"06:35","startHours":5.59495502638201,"endHours":6.582176076198416,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:16","startHours":14.479944474729662,"endHours":15.269721314582785,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:14","end":"18:38","startHours":18.228828673995285,"endHours":18.628828673995283,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:26","end":"18:55","startHours":18.428828673995284,"endHours":18.922439198903486,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:11","end":"19:56","startHours":18.178828673995284,"endHours":19.928828673995284,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:54","startHours":24.110613955170287,"endHours":24.900390795023412,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:35","end":"08:04","startHours":6.582176076198416,"endHours":8.063007650923025,"quality":"neutral"},{"name":"Labha","start":"08:04","end":"09:33","startHours":8.063007650923025,"endHours":9.543839225647634,"quality":"auspicious"},{"name":"Amṛta","start":"09:33","end":"11:01","startHours":9.543839225647634,"endHours":11.024670800372242,"quality":"auspicious"},{"name":"Kāla","start":"11:01","end":"12:30","startHours":11.024670800372242,"endHours":12.50550237509685,"quality":"inauspicious"},{"name":"Śubha","start":"12:30","end":"13:59","startHours":12.50550237509685,"endHours":13.986333949821459,"quality":"auspicious"},{"name":"Roga","start":"13:59","end":"15:28","startHours":13.986333949821459,"endHours":15.467165524546068,"quality":"inauspicious"},{"name":"Udveg","start":"15:28","end":"16:57","startHours":15.467165524546068,"endHours":16.947997099270676,"quality":"inauspicious"},{"name":"Chala","start":"16:57","end":"18:26","startHours":16.947997099270676,"endHours":18.428828673995284,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:26","end":"19:57","startHours":18.428828673995284,"endHours":19.947997099270676,"quality":"inauspicious"},{"name":"Udveg","start":"19:57","end":"21:28","startHours":19.947997099270676,"endHours":21.46716552454607,"quality":"inauspicious"},{"name":"Chala","start":"21:28","end":"22:59","startHours":21.46716552454607,"endHours":22.986333949821457,"quality":"neutral"},{"name":"Labha","start":"22:59","end":"00:30","startHours":22.986333949821457,"endHours":24.50550237509685,"quality":"auspicious"},{"name":"Amṛta","start":"00:30","end":"02:01","startHours":24.50550237509685,"endHours":26.024670800372242,"quality":"auspicious"},{"name":"Kāla","start":"02:01","end":"03:33","startHours":26.024670800372242,"endHours":27.54383922564763,"quality":"inauspicious"},{"name":"Śubha","start":"03:33","end":"05:04","startHours":27.54383922564763,"endHours":29.063007650923023,"quality":"auspicious"},{"name":"Roga","start":"05:04","end":"06:35","startHours":29.063007650923023,"endHours":30.582176076198415,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:35","end":"07:35","startHours":6.582176076198416,"endHours":7.582176076198416,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:35","end":"08:35","startHours":7.582176076198416,"endHours":8.582176076198415,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:35","end":"09:35","startHours":8.582176076198415,"endHours":9.582176076198415,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:35","end":"10:35","startHours":9.582176076198415,"endHours":10.582176076198415,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:35","end":"11:35","startHours":10.582176076198415,"endHours":11.582176076198415,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:35","end":"12:35","startHours":11.582176076198415,"endHours":12.582176076198415,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:35","end":"13:35","startHours":12.582176076198415,"endHours":13.582176076198415,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:35","end":"14:35","startHours":13.582176076198415,"endHours":14.582176076198415,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:35","end":"15:35","startHours":14.582176076198415,"endHours":15.582176076198415,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:35","end":"16:35","startHours":15.582176076198415,"endHours":16.582176076198415,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:35","end":"17:35","startHours":16.582176076198415,"endHours":17.582176076198415,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:35","end":"18:35","startHours":17.582176076198415,"endHours":18.582176076198415,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:35","end":"19:35","startHours":18.582176076198415,"endHours":19.582176076198415,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:35","end":"20:35","startHours":19.582176076198415,"endHours":20.582176076198415,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:35","end":"21:35","startHours":20.582176076198415,"endHours":21.582176076198415,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:35","end":"22:35","startHours":21.582176076198415,"endHours":22.582176076198415,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:35","end":"23:35","startHours":22.582176076198415,"endHours":23.582176076198415,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:35","end":"00:35","startHours":23.582176076198415,"endHours":24.582176076198415,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:35","end":"01:35","startHours":24.582176076198415,"endHours":25.582176076198415,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:35","end":"02:35","startHours":25.582176076198415,"endHours":26.582176076198415,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:35","end":"03:35","startHours":26.582176076198415,"endHours":27.582176076198415,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:35","end":"04:35","startHours":27.582176076198415,"endHours":28.582176076198415,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:35","end":"05:35","startHours":28.582176076198415,"endHours":29.582176076198415,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:35","end":"06:35","startHours":29.582176076198415,"endHours":30.582176076198415,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"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":-4.012169780990648,"eotMinutes":-11.024942505810897,"ayanamsa":24.4842}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Kṛṣṇa Pakṣa","solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Kṛṣṇa Saptamī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","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 March 10, 2045 CE · Mathurā · Vidhyamitra","description":"March 10, 2045 CE for Mathurā: Kṛṣṇa Saptamī, sūryodaya 06:35, sūryāsta 18:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2045-03-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2045-03-10","sa":"https://sa.vidhyamitra.com/city/mathura/2045-03-10","hi":"https://hi.vidhyamitra.com/city/mathura/2045-03-10","x-default":"https://vidhyamitra.com/city/mathura/2045-03-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:02:55.075Z","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":"2026-05-14T16:02:55.075Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:02:55.075Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}