{"id":"vidhyamitra:city-day:ayodhya:2045-01-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2045-01-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-01-15","date_display":"January 15, 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":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467995.770833,"kali_year":5146,"ahargana":1879530.2708,"sun":{"sidereal_longitude":270.5808,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":234.9627,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.3819,"elapsed_within_tithi_degrees":0.3819},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3,"moon_longitude":234.9627,"elapsed_within_degrees":8.2961},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":145.5436},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2467995.770833,"ahargana":1879530.2708,"kali_year":5146,"ayanamsa_lahiri":24.4822,"grahas":{"sun":{"sidereal_longitude":270.7996700000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":236.66337,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false,"latitude":-4.4091},"mars":{"sidereal_longitude":294.51316999999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":257.57466999999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":289.28007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"venus":{"sidereal_longitude":254.92007,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":223.11676999999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":313.4413,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":133.4413,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"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":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467995.770833,"kali_year":5146,"ahargana":1879530.2708,"sun":{"sidereal_longitude":270.5808,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":234.9627,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":324.3819,"elapsed_within_tithi_degrees":0.3819},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3,"moon_longitude":234.9627,"elapsed_within_degrees":8.2961},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":145.5436},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.409,"elongation":35.618},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.409,"opposition_distance":144.382}},"eclipse_window_40days":[]},"city":{"slug":"ayodhya","name":"Ayodhyā","lat":26.799,"lon":82.204,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"ayodhya","name":"Ayodhyā","lat":26.799,"lon":82.204,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:51","sunsetLocal":"17:30","solarNoonLocal":"12:11","dayLengthHours":10.638886668076843,"dayLengthDisplay":"10 Hours 38 Mins 20 Secs","nightLengthDisplay":"13 Hours 21 Mins 40 Secs","moonriseLocal":"04:41","moonsetLocal":"15:07","rahuKala":{"name":"Rāhu Kāla","start":"16:10","end":"17:30","startHours":16.165148324631037,"endHours":17.495009158140643,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:11","end":"13:30","startHours":12.175565824102222,"endHours":13.505426657611828,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:50","end":"16:10","startHours":14.835287491121434,"endHours":16.165148324631037,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:20","end":"09:42","startHours":9.33852937928173,"endHours":9.693158934884293,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:18","end":"07:35","startHours":7.299409434567003,"endHours":7.583113079049052,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:32","startHours":11.82093626849966,"endHours":12.530195379704784,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:26","end":"06:09","startHours":5.437604267653556,"endHours":6.146863378858678,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:58","end":"06:51","startHours":5.969548601057397,"endHours":6.856122490063801,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:39","startHours":13.94871360211503,"endHours":14.657972713320152,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:18","end":"17:42","startHours":17.295009158140644,"endHours":17.695009158140643,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:30","end":"17:56","startHours":17.495009158140643,"endHours":17.938296102643847,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:15","end":"19:00","startHours":17.245009158140643,"endHours":18.995009158140643,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:32","startHours":23.82093626849966,"endHours":24.530195379704782,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:51","end":"08:11","startHours":6.856122490063801,"endHours":8.185983323573407,"quality":"inauspicious"},{"name":"Chala","start":"08:11","end":"09:31","startHours":8.185983323573407,"endHours":9.515844157083013,"quality":"neutral"},{"name":"Labha","start":"09:31","end":"10:51","startHours":9.515844157083013,"endHours":10.845704990592617,"quality":"auspicious"},{"name":"Amṛta","start":"10:51","end":"12:11","startHours":10.845704990592617,"endHours":12.175565824102222,"quality":"auspicious"},{"name":"Kāla","start":"12:11","end":"13:30","startHours":12.175565824102222,"endHours":13.505426657611828,"quality":"inauspicious"},{"name":"Śubha","start":"13:30","end":"14:50","startHours":13.505426657611828,"endHours":14.835287491121434,"quality":"auspicious"},{"name":"Roga","start":"14:50","end":"16:10","startHours":14.835287491121434,"endHours":16.165148324631037,"quality":"inauspicious"},{"name":"Udveg","start":"16:10","end":"17:30","startHours":16.165148324631037,"endHours":17.495009158140643,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:30","end":"19:10","startHours":17.495009158140643,"endHours":19.165148324631037,"quality":"auspicious"},{"name":"Roga","start":"19:10","end":"20:50","startHours":19.165148324631037,"endHours":20.835287491121434,"quality":"inauspicious"},{"name":"Udveg","start":"20:50","end":"22:30","startHours":20.835287491121434,"endHours":22.505426657611828,"quality":"inauspicious"},{"name":"Chala","start":"22:30","end":"00:11","startHours":22.505426657611828,"endHours":24.17556582410222,"quality":"neutral"},{"name":"Labha","start":"00:11","end":"01:51","startHours":24.17556582410222,"endHours":25.845704990592616,"quality":"auspicious"},{"name":"Amṛta","start":"01:51","end":"03:31","startHours":25.845704990592616,"endHours":27.51584415708301,"quality":"auspicious"},{"name":"Kāla","start":"03:31","end":"05:11","startHours":27.51584415708301,"endHours":29.185983323573407,"quality":"inauspicious"},{"name":"Śubha","start":"05:11","end":"06:51","startHours":29.185983323573407,"endHours":30.8561224900638,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:51","end":"07:51","startHours":6.856122490063801,"endHours":7.856122490063801,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:51","end":"08:51","startHours":7.856122490063801,"endHours":8.8561224900638,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:51","end":"09:51","startHours":8.8561224900638,"endHours":9.8561224900638,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:51","end":"10:51","startHours":9.8561224900638,"endHours":10.8561224900638,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:51","end":"11:51","startHours":10.8561224900638,"endHours":11.8561224900638,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:51","end":"12:51","startHours":11.8561224900638,"endHours":12.8561224900638,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:51","end":"13:51","startHours":12.8561224900638,"endHours":13.8561224900638,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:51","end":"14:51","startHours":13.8561224900638,"endHours":14.8561224900638,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:51","end":"15:51","startHours":14.8561224900638,"endHours":15.8561224900638,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:51","end":"16:51","startHours":15.8561224900638,"endHours":16.8561224900638,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:51","end":"17:51","startHours":16.8561224900638,"endHours":17.8561224900638,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:51","end":"18:51","startHours":17.8561224900638,"endHours":18.8561224900638,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:51","end":"19:51","startHours":18.8561224900638,"endHours":19.8561224900638,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:51","end":"20:51","startHours":19.8561224900638,"endHours":20.8561224900638,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:51","end":"21:51","startHours":20.8561224900638,"endHours":21.8561224900638,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:51","end":"22:51","startHours":21.8561224900638,"endHours":22.8561224900638,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:51","end":"23:51","startHours":22.8561224900638,"endHours":23.8561224900638,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:51","end":"00:51","startHours":23.8561224900638,"endHours":24.8561224900638,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:51","end":"01:51","startHours":24.8561224900638,"endHours":25.8561224900638,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:51","end":"02:51","startHours":25.8561224900638,"endHours":26.8561224900638,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:51","end":"03:51","startHours":26.8561224900638,"endHours":27.8561224900638,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:51","end":"04:51","startHours":27.8561224900638,"endHours":28.8561224900638,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:51","end":"05:51","startHours":28.8561224900638,"endHours":29.8561224900638,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:51","end":"06:51","startHours":29.8561224900638,"endHours":30.8561224900638,"planetary_lord":"Jupiter"}],"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":"North-East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-21.07788892085007,"eotMinutes":-9.349949446133257,"ayanamsa":24.4822}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Trayodaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2},{"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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":"ayodhya"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 15, 2045 CE · Ayodhyā · Vidhyamitra","description":"January 15, 2045 CE for Ayodhyā: Kṛṣṇa Trayodaśī, sūryodaya 06:51, sūryāsta 17:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2045-01-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2045-01-15","sa":"https://sa.vidhyamitra.com/city/ayodhya/2045-01-15","hi":"https://hi.vidhyamitra.com/city/ayodhya/2045-01-15","x-default":"https://vidhyamitra.com/city/ayodhya/2045-01-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T05:26:36.507Z","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":"2026-05-16T05:26:36.507Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T05:26:36.507Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}