{"id":"vidhyamitra:city-day:mysore:2045-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mysore/2045-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-01-13","date_display":"January 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":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467993.770833,"kali_year":5146,"ahargana":1879528.2708,"sun":{"sidereal_longitude":268.5267,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":209.6446,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":301.1179,"elapsed_within_tithi_degrees":1.1179},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":209.6446,"elapsed_within_degrees":9.6446},"yoga":{"number":9,"name":"Śūla","sum_longitude":118.1713},"karana":{"half_tithi_index":50,"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":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2467993.770833,"ahargana":1879528.2708,"kali_year":5146,"ayanamsa_lahiri":24.4821,"grahas":{"sun":{"sidereal_longitude":268.762346,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":212.41334600000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false,"latitude":-4.3679},"mars":{"sidereal_longitude":292.935346,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":254.50624599999992,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":288.81684599999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"venus":{"sidereal_longitude":252.40934600000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":222.92824599999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":313.5473,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":133.5473,"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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467993.770833,"kali_year":5146,"ahargana":1879528.2708,"sun":{"sidereal_longitude":268.5267,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":209.6446,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":301.1179,"elapsed_within_tithi_degrees":1.1179},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":209.6446,"elapsed_within_degrees":9.6446},"yoga":{"number":9,"name":"Śūla","sum_longitude":118.1713},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.368,"elongation":58.882},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.368,"opposition_distance":121.118}},"eclipse_window_40days":[]},"city":{"slug":"mysore","name":"Mysore, Karnataka","lat":12.2958,"lon":76.6394,"tz_offset_hours":5.5,"state":"Karnataka","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"mysore","name":"Mysore, Karnataka","lat":12.2958,"lon":76.6394,"tz_offset_hours":5.5,"state":"Karnataka","country":"IN","tier":"tier-1"},"sunriseLocal":"06:48","sunsetLocal":"18:16","solarNoonLocal":"12:32","dayLengthHours":11.46796962463777,"dayLengthDisplay":"11 Hours 28 Mins 05 Secs","nightLengthDisplay":"12 Hours 31 Mins 55 Secs","moonriseLocal":"03:02","moonsetLocal":"14:32","rahuKala":{"name":"Rāhu Kāla","start":"11:06","end":"12:32","startHours":11.101142655109841,"endHours":12.534638858189563,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:24","end":"16:50","startHours":15.401631264349005,"endHours":16.835127467428727,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:14","end":"09:40","startHours":8.2341502489504,"endHours":9.66764645203012,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:29","end":"09:52","startHours":9.476513624952824,"endHours":9.858779279107416,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:17","end":"07:35","startHours":7.278486113563918,"endHours":7.584298636887592,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:55","startHours":12.15237320403497,"endHours":12.916904512344153,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:16","end":"06:02","startHours":5.271591429252308,"endHours":6.036122737561493,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:51","end":"06:48","startHours":5.8449899104841965,"endHours":6.800654045870678,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:13","startHours":14.445967128962524,"endHours":15.210498437271708,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:04","end":"18:28","startHours":18.068623670508448,"endHours":18.468623670508446,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:16","end":"18:45","startHours":18.268623670508447,"endHours":18.746455738201686,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:01","end":"19:46","startHours":18.018623670508447,"endHours":19.768623670508447,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:55","startHours":24.152373204034966,"endHours":24.916904512344153,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:48","end":"08:14","startHours":6.800654045870678,"endHours":8.2341502489504,"quality":"neutral"},{"name":"Labha","start":"08:14","end":"09:40","startHours":8.2341502489504,"endHours":9.66764645203012,"quality":"auspicious"},{"name":"Amṛta","start":"09:40","end":"11:06","startHours":9.66764645203012,"endHours":11.101142655109841,"quality":"auspicious"},{"name":"Kāla","start":"11:06","end":"12:32","startHours":11.101142655109841,"endHours":12.534638858189563,"quality":"inauspicious"},{"name":"Śubha","start":"12:32","end":"13:58","startHours":12.534638858189563,"endHours":13.968135061269283,"quality":"auspicious"},{"name":"Roga","start":"13:58","end":"15:24","startHours":13.968135061269283,"endHours":15.401631264349005,"quality":"inauspicious"},{"name":"Udveg","start":"15:24","end":"16:50","startHours":15.401631264349005,"endHours":16.835127467428727,"quality":"inauspicious"},{"name":"Chala","start":"16:50","end":"18:16","startHours":16.835127467428727,"endHours":18.268623670508447,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:16","end":"19:50","startHours":18.268623670508447,"endHours":19.835127467428727,"quality":"inauspicious"},{"name":"Udveg","start":"19:50","end":"21:24","startHours":19.835127467428727,"endHours":21.401631264349003,"quality":"inauspicious"},{"name":"Chala","start":"21:24","end":"22:58","startHours":21.401631264349003,"endHours":22.968135061269283,"quality":"neutral"},{"name":"Labha","start":"22:58","end":"00:32","startHours":22.968135061269283,"endHours":24.534638858189563,"quality":"auspicious"},{"name":"Amṛta","start":"00:32","end":"02:06","startHours":24.534638858189563,"endHours":26.10114265510984,"quality":"auspicious"},{"name":"Kāla","start":"02:06","end":"03:40","startHours":26.10114265510984,"endHours":27.66764645203012,"quality":"inauspicious"},{"name":"Śubha","start":"03:40","end":"05:14","startHours":27.66764645203012,"endHours":29.2341502489504,"quality":"auspicious"},{"name":"Roga","start":"05:14","end":"06:48","startHours":29.2341502489504,"endHours":30.80065404587068,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:48","end":"07:48","startHours":6.800654045870678,"endHours":7.800654045870678,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:48","end":"08:48","startHours":7.800654045870678,"endHours":8.800654045870678,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:48","end":"09:48","startHours":8.800654045870678,"endHours":9.800654045870678,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:48","end":"10:48","startHours":9.800654045870678,"endHours":10.800654045870678,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:48","end":"11:48","startHours":10.800654045870678,"endHours":11.800654045870678,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:48","end":"12:48","startHours":11.800654045870678,"endHours":12.800654045870678,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:48","end":"13:48","startHours":12.800654045870678,"endHours":13.800654045870678,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:48","end":"14:48","startHours":13.800654045870678,"endHours":14.800654045870678,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:48","end":"15:48","startHours":14.800654045870678,"endHours":15.800654045870678,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:48","end":"16:48","startHours":15.800654045870678,"endHours":16.80065404587068,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:48","end":"17:48","startHours":16.80065404587068,"endHours":17.80065404587068,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:48","end":"18:48","startHours":17.80065404587068,"endHours":18.80065404587068,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:48","end":"19:48","startHours":18.80065404587068,"endHours":19.80065404587068,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:48","end":"20:48","startHours":19.80065404587068,"endHours":20.80065404587068,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:48","end":"21:48","startHours":20.80065404587068,"endHours":21.80065404587068,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:48","end":"22:48","startHours":21.80065404587068,"endHours":22.80065404587068,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:48","end":"23:48","startHours":22.80065404587068,"endHours":23.80065404587068,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:48","end":"00:48","startHours":23.80065404587068,"endHours":24.80065404587068,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:48","end":"01:48","startHours":24.80065404587068,"endHours":25.80065404587068,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:48","end":"02:48","startHours":25.80065404587068,"endHours":26.80065404587068,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:48","end":"03:48","startHours":26.80065404587068,"endHours":27.80065404587068,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:48","end":"04:48","startHours":27.80065404587068,"endHours":28.80065404587068,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:48","end":"05:48","startHours":28.80065404587068,"endHours":29.80065404587068,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:48","end":"06:48","startHours":29.80065404587068,"endHours":30.80065404587068,"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","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"South-East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-21.435174864331206,"eotMinutes":-8.635931491373626,"ayanamsa":24.4821}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Ekādaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"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":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"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":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"mysore"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 13, 2045 CE · Mysore, Karnataka · Vidhyamitra","description":"January 13, 2045 CE for Mysore, Karnataka: Kṛṣṇa Ekādaśī, sūryodaya 06:48, sūryāsta 18:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mysore/2045-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mysore/2045-01-13","sa":"https://sa.vidhyamitra.com/city/mysore/2045-01-13","hi":"https://hi.vidhyamitra.com/city/mysore/2045-01-13","x-default":"https://vidhyamitra.com/city/mysore/2045-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T11:12:38.944Z","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":"2026-05-17T11:12:38.944Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T11:12:38.944Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}