{"id":"vidhyamitra:city-day:bareilly:2045-03-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/bareilly/2045-03-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-03-13","date_display":"March 13, 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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468052.770833,"kali_year":5146,"ahargana":1879587.2708,"sun":{"sidereal_longitude":328.4505,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":263.8355,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":295.385,"elapsed_within_tithi_degrees":7.385},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4,"moon_longitude":263.8355,"elapsed_within_degrees":10.5022},"yoga":{"number":18,"name":"Varīyān","sum_longitude":232.286},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468052.770833,"ahargana":1879587.2708,"kali_year":5146,"ayanamsa_lahiri":24.4844,"grahas":{"sun":{"sidereal_longitude":328.379492,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":265.846192,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false,"latitude":-3.2672},"mars":{"sidereal_longitude":339.235392,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":339.729392,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":302.707492,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":326.29599200000007,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":226.336092,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":310.4212,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":130.4212,"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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468052.770833,"kali_year":5146,"ahargana":1879587.2708,"sun":{"sidereal_longitude":328.4505,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":263.8355,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":295.385,"elapsed_within_tithi_degrees":7.385},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4,"moon_longitude":263.8355,"elapsed_within_degrees":10.5022},"yoga":{"number":18,"name":"Varīyān","sum_longitude":232.286},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.267,"elongation":64.615},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.267,"opposition_distance":115.385}},"eclipse_window_40days":[{"offset_days":-10,"type":"lunar","occurs":true,"moon_latitude":-0.367,"opposition_distance":2.796}]},"city":{"slug":"bareilly","name":"Bareilly, Uttar Pradesh","lat":28.367,"lon":79.4304,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"bareilly","name":"Bareilly, Uttar Pradesh","lat":28.367,"lon":79.4304,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"06:25","sunsetLocal":"18:20","solarNoonLocal":"12:22","dayLengthHours":11.922313077523935,"dayLengthDisplay":"11 Hours 55 Mins 20 Secs","nightLengthDisplay":"12 Hours 04 Mins 40 Secs","moonriseLocal":"03:00","moonsetLocal":"13:25","rahuKala":{"name":"Rāhu Kāla","start":"07:54","end":"09:24","startHours":7.904071261408671,"endHours":9.394360396099163,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:53","end":"12:22","startHours":10.884649530789655,"endHours":12.374938665480148,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:52","end":"15:21","startHours":13.86522780017064,"endHours":15.355516934861129,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:12","end":"09:36","startHours":9.19565517814043,"endHours":9.593065614057895,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:55","end":"07:14","startHours":6.91054517161501,"endHours":7.228473520348982,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:46","startHours":11.977528229562681,"endHours":12.77234910139761,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:49","end":"05:37","startHours":4.824140383048322,"endHours":5.61896125488325,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:25","end":"06:25","startHours":5.420256036924518,"endHours":6.413782126718179,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:09","startHours":14.36199084506747,"endHours":15.1568117169024,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:08","end":"18:32","startHours":18.136095204242114,"endHours":18.536095204242113,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:20","end":"18:50","startHours":18.336095204242113,"endHours":18.832858249138944,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:05","end":"19:50","startHours":18.086095204242113,"endHours":19.836095204242113,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:46","startHours":23.97752822956268,"endHours":24.77234910139761,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:25","end":"07:54","startHours":6.413782126718179,"endHours":7.904071261408671,"quality":"auspicious"},{"name":"Kāla","start":"07:54","end":"09:24","startHours":7.904071261408671,"endHours":9.394360396099163,"quality":"inauspicious"},{"name":"Śubha","start":"09:24","end":"10:53","startHours":9.394360396099163,"endHours":10.884649530789655,"quality":"auspicious"},{"name":"Roga","start":"10:53","end":"12:22","startHours":10.884649530789655,"endHours":12.374938665480148,"quality":"inauspicious"},{"name":"Udveg","start":"12:22","end":"13:52","startHours":12.374938665480148,"endHours":13.86522780017064,"quality":"inauspicious"},{"name":"Chala","start":"13:52","end":"15:21","startHours":13.86522780017064,"endHours":15.355516934861129,"quality":"neutral"},{"name":"Labha","start":"15:21","end":"16:51","startHours":15.355516934861129,"endHours":16.84580606955162,"quality":"auspicious"},{"name":"Amṛta","start":"16:51","end":"18:20","startHours":16.84580606955162,"endHours":18.336095204242113,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:20","end":"19:51","startHours":18.336095204242113,"endHours":19.84580606955162,"quality":"neutral"},{"name":"Labha","start":"19:51","end":"21:21","startHours":19.84580606955162,"endHours":21.35551693486113,"quality":"auspicious"},{"name":"Amṛta","start":"21:21","end":"22:52","startHours":21.35551693486113,"endHours":22.865227800170636,"quality":"auspicious"},{"name":"Kāla","start":"22:52","end":"00:22","startHours":22.865227800170636,"endHours":24.374938665480144,"quality":"inauspicious"},{"name":"Śubha","start":"00:22","end":"01:53","startHours":24.374938665480144,"endHours":25.884649530789652,"quality":"auspicious"},{"name":"Roga","start":"01:53","end":"03:24","startHours":25.884649530789652,"endHours":27.394360396099163,"quality":"inauspicious"},{"name":"Udveg","start":"03:24","end":"04:54","startHours":27.394360396099163,"endHours":28.90407126140867,"quality":"inauspicious"},{"name":"Chala","start":"04:54","end":"06:25","startHours":28.90407126140867,"endHours":30.41378212671818,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:25","end":"07:25","startHours":6.413782126718179,"endHours":7.413782126718179,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:25","end":"08:25","startHours":7.413782126718179,"endHours":8.413782126718178,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:25","end":"09:25","startHours":8.413782126718178,"endHours":9.413782126718178,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:25","end":"10:25","startHours":9.413782126718178,"endHours":10.413782126718178,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:25","end":"11:25","startHours":10.413782126718178,"endHours":11.413782126718178,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:25","end":"12:25","startHours":11.413782126718178,"endHours":12.413782126718178,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:25","end":"13:25","startHours":12.413782126718178,"endHours":13.413782126718178,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:25","end":"14:25","startHours":13.413782126718178,"endHours":14.413782126718178,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:25","end":"15:25","startHours":14.413782126718178,"endHours":15.413782126718178,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:25","end":"16:25","startHours":15.413782126718178,"endHours":16.41378212671818,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:25","end":"17:25","startHours":16.41378212671818,"endHours":17.41378212671818,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:25","end":"18:25","startHours":17.41378212671818,"endHours":18.41378212671818,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:25","end":"19:25","startHours":18.41378212671818,"endHours":19.41378212671818,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:25","end":"20:25","startHours":19.41378212671818,"endHours":20.41378212671818,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:25","end":"21:25","startHours":20.41378212671818,"endHours":21.41378212671818,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:25","end":"22:25","startHours":21.41378212671818,"endHours":22.41378212671818,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:25","end":"23:25","startHours":22.41378212671818,"endHours":23.41378212671818,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:25","end":"00:25","startHours":23.41378212671818,"endHours":24.41378212671818,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:25","end":"01:25","startHours":24.41378212671818,"endHours":25.41378212671818,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:25","end":"02:25","startHours":25.41378212671818,"endHours":26.41378212671818,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:25","end":"03:25","startHours":26.41378212671818,"endHours":27.41378212671818,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:25","end":"04:25","startHours":27.41378212671818,"endHours":28.41378212671818,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:25","end":"05:25","startHours":28.41378212671818,"endHours":29.41378212671818,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:25","end":"06:25","startHours":29.41378212671818,"endHours":30.41378212671818,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Mātaṇga","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":-2.832082572683106,"eotMinutes":-10.217919928808794,"ayanamsa":24.4844}},"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 Daśamī · 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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"bareilly"},"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, 2045 CE · Bareilly, Uttar Pradesh · Vidhyamitra","description":"March 13, 2045 CE for Bareilly, Uttar Pradesh: Kṛṣṇa Daśamī, sūryodaya 06:25, sūryāsta 18:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/bareilly/2045-03-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/bareilly/2045-03-13","sa":"https://sa.vidhyamitra.com/city/bareilly/2045-03-13","hi":"https://hi.vidhyamitra.com/city/bareilly/2045-03-13","x-default":"https://vidhyamitra.com/city/bareilly/2045-03-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T01:22:50.954Z","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":"2026-05-16T01:22:50.954Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T01:22:50.954Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}