{"id":"vidhyamitra:city-day:ayodhya:2045-01-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2045-01-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-01-21","date_display":"January 21, 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2045,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468001.770833,"kali_year":5146,"ahargana":1879536.2708,"sun":{"sidereal_longitude":276.7383,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":310.5549,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":33.8166,"elapsed_within_tithi_degrees":9.8166},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.5549,"elapsed_within_degrees":3.8882},"yoga":{"number":18,"name":"Varīyān","sum_longitude":227.2932},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468001.770833,"ahargana":1879536.2708,"kali_year":5146,"ayanamsa_lahiri":24.4824,"grahas":{"sun":{"sidereal_longitude":276.908641,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":307.81724099999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":-0.2015},"mars":{"sidereal_longitude":299.24884099999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":266.9750409999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":290.6824409999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"venus":{"sidereal_longitude":262.4524409999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":223.65784099999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":313.1234,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":133.1234,"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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2045,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468001.770833,"kali_year":5146,"ahargana":1879536.2708,"sun":{"sidereal_longitude":276.7383,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":310.5549,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":33.8166,"elapsed_within_tithi_degrees":9.8166},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.5549,"elapsed_within_degrees":3.8882},"yoga":{"number":18,"name":"Varīyān","sum_longitude":227.2932},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.201,"elongation":33.817},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.201,"opposition_distance":146.183}},"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":"06:50","sunsetLocal":"17:34","solarNoonLocal":"12:12","dayLengthHours":10.73363090199097,"dayLengthDisplay":"10 Hours 44 Mins 01 Secs","nightLengthDisplay":"13 Hours 15 Mins 59 Secs","moonriseLocal":"08:35","moonsetLocal":"19:57","rahuKala":{"name":"Rāhu Kāla","start":"09:31","end":"10:52","startHours":9.523921128654461,"endHours":10.865624991403331,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:33","end":"14:53","startHours":13.549032716901074,"endHours":14.890736579649946,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:50","end":"08:11","startHours":6.840513403156717,"endHours":8.182217265905589,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:21","end":"09:42","startHours":9.345027280287944,"endHours":9.702814977020976,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:17","end":"07:34","startHours":7.287748024073008,"endHours":7.5739781814594345,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:34","startHours":11.84954115741917,"endHours":12.565116550885234,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:25","end":"06:07","startHours":5.409362616224588,"endHours":6.124938009690653,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:57","end":"06:50","startHours":5.946044161324137,"endHours":6.840513403156717,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:43","startHours":13.996267337817365,"endHours":14.71184273128343,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:22","end":"17:46","startHours":17.374144305147688,"endHours":17.774144305147686,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:34","end":"18:01","startHours":17.574144305147687,"endHours":18.021378926063978,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:19","end":"19:04","startHours":17.324144305147687,"endHours":19.074144305147687,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:34","startHours":23.849541157419168,"endHours":24.565116550885236,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:50","end":"08:11","startHours":6.840513403156717,"endHours":8.182217265905589,"quality":"inauspicious"},{"name":"Śubha","start":"08:11","end":"09:31","startHours":8.182217265905589,"endHours":9.523921128654461,"quality":"auspicious"},{"name":"Roga","start":"09:31","end":"10:52","startHours":9.523921128654461,"endHours":10.865624991403331,"quality":"inauspicious"},{"name":"Udveg","start":"10:52","end":"12:12","startHours":10.865624991403331,"endHours":12.207328854152202,"quality":"inauspicious"},{"name":"Chala","start":"12:12","end":"13:33","startHours":12.207328854152202,"endHours":13.549032716901074,"quality":"neutral"},{"name":"Labha","start":"13:33","end":"14:53","startHours":13.549032716901074,"endHours":14.890736579649946,"quality":"auspicious"},{"name":"Amṛta","start":"14:53","end":"16:14","startHours":14.890736579649946,"endHours":16.232440442398815,"quality":"auspicious"},{"name":"Kāla","start":"16:14","end":"17:34","startHours":16.232440442398815,"endHours":17.574144305147687,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:34","end":"19:14","startHours":17.574144305147687,"endHours":19.232440442398815,"quality":"auspicious"},{"name":"Amṛta","start":"19:14","end":"20:53","startHours":19.232440442398815,"endHours":20.890736579649946,"quality":"auspicious"},{"name":"Kāla","start":"20:53","end":"22:33","startHours":20.890736579649946,"endHours":22.549032716901074,"quality":"inauspicious"},{"name":"Śubha","start":"22:33","end":"00:12","startHours":22.549032716901074,"endHours":24.207328854152202,"quality":"auspicious"},{"name":"Roga","start":"00:12","end":"01:52","startHours":24.207328854152202,"endHours":25.86562499140333,"quality":"inauspicious"},{"name":"Udveg","start":"01:52","end":"03:31","startHours":25.86562499140333,"endHours":27.523921128654457,"quality":"inauspicious"},{"name":"Chala","start":"03:31","end":"05:11","startHours":27.523921128654457,"endHours":29.18221726590559,"quality":"neutral"},{"name":"Labha","start":"05:11","end":"06:50","startHours":29.18221726590559,"endHours":30.840513403156717,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:50","end":"07:50","startHours":6.840513403156717,"endHours":7.840513403156717,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:50","end":"08:50","startHours":7.840513403156717,"endHours":8.840513403156717,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:50","end":"09:50","startHours":8.840513403156717,"endHours":9.840513403156717,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:50","end":"10:50","startHours":9.840513403156717,"endHours":10.840513403156717,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:50","end":"11:50","startHours":10.840513403156717,"endHours":11.840513403156717,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:50","end":"12:50","startHours":11.840513403156717,"endHours":12.840513403156717,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:50","end":"13:50","startHours":12.840513403156717,"endHours":13.840513403156717,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:50","end":"14:50","startHours":13.840513403156717,"endHours":14.840513403156717,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:50","end":"15:50","startHours":14.840513403156717,"endHours":15.840513403156717,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:50","end":"16:50","startHours":15.840513403156717,"endHours":16.840513403156717,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:50","end":"17:50","startHours":16.840513403156717,"endHours":17.840513403156717,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:50","end":"18:50","startHours":17.840513403156717,"endHours":18.840513403156717,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:50","end":"19:50","startHours":18.840513403156717,"endHours":19.840513403156717,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:50","end":"20:50","startHours":19.840513403156717,"endHours":20.840513403156717,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:50","end":"21:50","startHours":20.840513403156717,"endHours":21.840513403156717,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:50","end":"22:50","startHours":21.840513403156717,"endHours":22.840513403156717,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:50","end":"23:50","startHours":22.840513403156717,"endHours":23.840513403156717,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:50","end":"00:50","startHours":23.840513403156717,"endHours":24.840513403156717,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:50","end":"01:50","startHours":24.840513403156717,"endHours":25.840513403156717,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:50","end":"02:50","startHours":25.840513403156717,"endHours":26.840513403156717,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:50","end":"03:50","startHours":26.840513403156717,"endHours":27.840513403156717,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:50","end":"04:50","startHours":27.840513403156717,"endHours":28.840513403156717,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:50","end":"05:50","startHours":28.840513403156717,"endHours":29.840513403156717,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:50","end":"06:50","startHours":29.840513403156717,"endHours":30.840513403156717,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-19.84746551499416,"eotMinutes":-11.255731249132124,"ayanamsa":24.4824}},"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 Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Tṛtīyā · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"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 21, 2045 CE · Ayodhyā · Vidhyamitra","description":"January 21, 2045 CE for Ayodhyā: Śukla Tṛtīyā, sūryodaya 06:50, sūryāsta 17:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2045-01-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2045-01-21","sa":"https://sa.vidhyamitra.com/city/ayodhya/2045-01-21","hi":"https://hi.vidhyamitra.com/city/ayodhya/2045-01-21","x-default":"https://vidhyamitra.com/city/ayodhya/2045-01-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-07T21:48:52.955Z","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":"2026-08-07T21:48:52.955Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-07T21:48:52.955Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}