{"id":"vidhyamitra:city-day:bareilly:2030-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/bareilly/2030-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2030-12-13","date_display":"December 13, 2030 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":2030,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462848.770833,"kali_year":5132,"ahargana":1874383.2708,"sun":{"sidereal_longitude":236.2893,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":93.0758,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":216.7865,"elapsed_within_tithi_degrees":0.7865},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":93.0758,"elapsed_within_degrees":13.0758},"yoga":{"number":25,"name":"Brahma","sum_longitude":329.3651},"karana":{"half_tithi_index":36,"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":2030,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2462848.770833,"ahargana":1874383.2708,"kali_year":5132,"ayanamsa_lahiri":24.2853,"grahas":{"sun":{"sidereal_longitude":236.76892299999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":90.26152300000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":-3.2853},"mars":{"sidereal_longitude":167.56352300000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":242.86652299999992,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":227.00822300000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":249.58882300000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":39.77712300000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":226.1541,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":46.1541,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"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":2030,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462848.770833,"kali_year":5132,"ahargana":1874383.2708,"sun":{"sidereal_longitude":236.2893,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":93.0758,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":216.7865,"elapsed_within_tithi_degrees":0.7865},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":93.0758,"elapsed_within_degrees":13.0758},"yoga":{"number":25,"name":"Brahma","sum_longitude":329.3651},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.285,"elongation":143.213},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.285,"opposition_distance":36.787}},"eclipse_window_40days":[{"offset_days":-3,"type":"lunar","occurs":true,"moon_latitude":-0.714,"opposition_distance":2.237}]},"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":"06:56","sunsetLocal":"17:18","solarNoonLocal":"12:07","dayLengthHours":10.362349945051314,"dayLengthDisplay":"10 Hours 21 Mins 44 Secs","nightLengthDisplay":"13 Hours 38 Mins 16 Secs","moonriseLocal":"19:30","moonsetLocal":"09:12","rahuKala":{"name":"Rāhu Kāla","start":"10:49","end":"12:07","startHours":10.82450208604495,"endHours":12.119795829176365,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:43","end":"16:00","startHours":14.710383315439191,"endHours":16.00567705857061,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:14","end":"09:32","startHours":8.233914599782121,"endHours":9.529208342913535,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:21","end":"09:42","startHours":9.356502510496014,"endHours":9.701914175331057,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:22","end":"07:39","startHours":7.3703854376945115,"endHours":7.646714769562546,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:28","startHours":11.77438416434132,"endHours":12.465207494011409,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:33","end":"06:15","startHours":5.556974197310532,"endHours":6.247797526980619,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:05","end":"06:56","startHours":6.075091694563097,"endHours":6.938620856650707,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:51","end":"14:32","startHours":13.846854153351583,"endHours":14.53767748302167,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.100970801702022,"endHours":17.50097080170202,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:44","startHours":17.30097080170202,"endHours":17.732735382745826,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.05097080170202,"endHours":18.80097080170202,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:28","startHours":23.77438416434132,"endHours":24.46520749401141,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:56","end":"08:14","startHours":6.938620856650707,"endHours":8.233914599782121,"quality":"neutral"},{"name":"Labha","start":"08:14","end":"09:32","startHours":8.233914599782121,"endHours":9.529208342913535,"quality":"auspicious"},{"name":"Amṛta","start":"09:32","end":"10:49","startHours":9.529208342913535,"endHours":10.82450208604495,"quality":"auspicious"},{"name":"Kāla","start":"10:49","end":"12:07","startHours":10.82450208604495,"endHours":12.119795829176365,"quality":"inauspicious"},{"name":"Śubha","start":"12:07","end":"13:25","startHours":12.119795829176365,"endHours":13.415089572307778,"quality":"auspicious"},{"name":"Roga","start":"13:25","end":"14:43","startHours":13.415089572307778,"endHours":14.710383315439191,"quality":"inauspicious"},{"name":"Udveg","start":"14:43","end":"16:00","startHours":14.710383315439191,"endHours":16.00567705857061,"quality":"inauspicious"},{"name":"Chala","start":"16:00","end":"17:18","startHours":16.00567705857061,"endHours":17.30097080170202,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:18","end":"19:00","startHours":17.30097080170202,"endHours":19.00567705857061,"quality":"inauspicious"},{"name":"Udveg","start":"19:00","end":"20:43","startHours":19.00567705857061,"endHours":20.710383315439195,"quality":"inauspicious"},{"name":"Chala","start":"20:43","end":"22:25","startHours":20.710383315439195,"endHours":22.415089572307778,"quality":"neutral"},{"name":"Labha","start":"22:25","end":"00:07","startHours":22.415089572307778,"endHours":24.119795829176365,"quality":"auspicious"},{"name":"Amṛta","start":"00:07","end":"01:49","startHours":24.119795829176365,"endHours":25.82450208604495,"quality":"auspicious"},{"name":"Kāla","start":"01:49","end":"03:32","startHours":25.82450208604495,"endHours":27.529208342913535,"quality":"inauspicious"},{"name":"Śubha","start":"03:32","end":"05:14","startHours":27.529208342913535,"endHours":29.23391459978212,"quality":"auspicious"},{"name":"Roga","start":"05:14","end":"06:56","startHours":29.23391459978212,"endHours":30.938620856650708,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:56","end":"07:56","startHours":6.938620856650707,"endHours":7.938620856650707,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:56","end":"08:56","startHours":7.938620856650707,"endHours":8.938620856650708,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:56","end":"09:56","startHours":8.938620856650708,"endHours":9.938620856650708,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:56","end":"10:56","startHours":9.938620856650708,"endHours":10.938620856650708,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:56","end":"11:56","startHours":10.938620856650708,"endHours":11.938620856650708,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:56","end":"12:56","startHours":11.938620856650708,"endHours":12.938620856650708,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:56","end":"13:56","startHours":12.938620856650708,"endHours":13.938620856650708,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:56","end":"14:56","startHours":13.938620856650708,"endHours":14.938620856650708,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:56","end":"15:56","startHours":14.938620856650708,"endHours":15.938620856650708,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:56","end":"16:56","startHours":15.938620856650708,"endHours":16.938620856650708,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:56","end":"17:56","startHours":16.938620856650708,"endHours":17.938620856650708,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:56","end":"18:56","startHours":17.938620856650708,"endHours":18.938620856650708,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:56","end":"19:56","startHours":18.938620856650708,"endHours":19.938620856650708,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:56","end":"20:56","startHours":19.938620856650708,"endHours":20.938620856650708,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:56","end":"21:56","startHours":20.938620856650708,"endHours":21.938620856650708,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:56","end":"22:56","startHours":21.938620856650708,"endHours":22.938620856650708,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:56","end":"23:56","startHours":22.938620856650708,"endHours":23.938620856650708,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:56","end":"00:56","startHours":23.938620856650708,"endHours":24.938620856650708,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:56","end":"01:56","startHours":24.938620856650708,"endHours":25.938620856650708,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:56","end":"02:56","startHours":25.938620856650708,"endHours":26.938620856650708,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:56","end":"03:56","startHours":26.938620856650708,"endHours":27.938620856650708,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:56","end":"04:56","startHours":27.938620856650708,"endHours":28.938620856650708,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:56","end":"05:56","startHours":28.938620856650708,"endHours":29.938620856650708,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:56","end":"06:56","startHours":29.938620856650708,"endHours":30.938620856650708,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva 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":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.134719032940797,"eotMinutes":5.090650249418121,"ayanamsa":24.2853}},"calendars":{"vikram_samvat":2087,"vikram_samvatsara":"Rudhirodgāri","saka_samvat":1952,"saka_samvatsara":"Sādhāraṇa","bengali_samvat":1437,"malayalam_era":1206,"nanakshahi_year":561,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Caturthī · Vikram 2087 Rudhirodgāri · Śaka 1952 Sādhāraṇa"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5}]},"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 December 13, 2030 CE · Bareilly, Uttar Pradesh · Vidhyamitra","description":"December 13, 2030 CE for Bareilly, Uttar Pradesh: Kṛṣṇa Caturthī, sūryodaya 06:56, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/bareilly/2030-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/bareilly/2030-12-13","sa":"https://sa.vidhyamitra.com/city/bareilly/2030-12-13","hi":"https://hi.vidhyamitra.com/city/bareilly/2030-12-13","x-default":"https://vidhyamitra.com/city/bareilly/2030-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T02:54:25.572Z","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":"2026-05-15T02:54:25.572Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T02:54:25.572Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}