{"id":"vidhyamitra:city-day:ayodhya:2045-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2045-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-07-31","date_display":"July 31, 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":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468192.770833,"kali_year":5147,"ahargana":1879727.2708,"sun":{"sidereal_longitude":103.1438,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":308.9296,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":205.7858,"elapsed_within_tithi_degrees":1.7858},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":308.9296,"elapsed_within_degrees":2.2629},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":52.0733},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"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":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468192.770833,"ahargana":1879727.2708,"kali_year":5147,"ayanamsa_lahiri":24.4897,"grahas":{"sun":{"sidereal_longitude":103.78234300000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":306.710243,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":0.4641},"mars":{"sidereal_longitude":79.79234300000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":96.41964300000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":316.53284299999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":137.42404299999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":219.816643,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":303.0033,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":123.0033,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468192.770833,"kali_year":5147,"ahargana":1879727.2708,"sun":{"sidereal_longitude":103.1438,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":308.9296,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":205.7858,"elapsed_within_tithi_degrees":1.7858},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":308.9296,"elapsed_within_degrees":2.2629},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":52.0733},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.464,"elongation":154.214},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.464,"opposition_distance":25.786}},"eclipse_window_40days":[{"offset_days":-2,"type":"lunar","occurs":true,"moon_latitude":-1.485,"opposition_distance":2.577}]},"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":"05:25","sunsetLocal":"18:49","solarNoonLocal":"12:07","dayLengthHours":13.407250202173223,"dayLengthDisplay":"13 Hours 24 Mins 26 Secs","nightLengthDisplay":"10 Hours 35 Mins 34 Secs","moonriseLocal":"19:59","moonsetLocal":"07:19","rahuKala":{"name":"Rāhu Kāla","start":"07:06","end":"08:46","startHours":7.093204082724224,"endHours":8.769110357995878,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:27","end":"12:07","startHours":10.44501663326753,"endHours":12.120922908539182,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:48","end":"15:28","startHours":13.796829183810836,"endHours":15.47273545908249,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:33","end":"09:00","startHours":8.545656187959656,"endHours":8.992564528032098,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:20","startHours":5.975933232543122,"endHours":6.333459904601074,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:34","startHours":11.674014568466742,"endHours":12.567831248611622,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:38","end":"04:31","startHours":3.629664447162808,"endHours":4.523481127307689,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:18","end":"05:25","startHours":4.300026957271469,"endHours":5.417297807452571,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:15","startHours":14.355464608901386,"endHours":15.249281289046268,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:37","end":"19:01","startHours":18.624548009625794,"endHours":19.024548009625793,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:49","end":"19:23","startHours":18.824548009625794,"endHours":19.383183434716344,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:34","end":"20:19","startHours":18.574548009625794,"endHours":20.324548009625794,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:34","startHours":23.674014568466742,"endHours":24.567831248611622,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:25","end":"07:06","startHours":5.417297807452571,"endHours":7.093204082724224,"quality":"auspicious"},{"name":"Kāla","start":"07:06","end":"08:46","startHours":7.093204082724224,"endHours":8.769110357995878,"quality":"inauspicious"},{"name":"Śubha","start":"08:46","end":"10:27","startHours":8.769110357995878,"endHours":10.44501663326753,"quality":"auspicious"},{"name":"Roga","start":"10:27","end":"12:07","startHours":10.44501663326753,"endHours":12.120922908539182,"quality":"inauspicious"},{"name":"Udveg","start":"12:07","end":"13:48","startHours":12.120922908539182,"endHours":13.796829183810836,"quality":"inauspicious"},{"name":"Chala","start":"13:48","end":"15:28","startHours":13.796829183810836,"endHours":15.47273545908249,"quality":"neutral"},{"name":"Labha","start":"15:28","end":"17:09","startHours":15.47273545908249,"endHours":17.14864173435414,"quality":"auspicious"},{"name":"Amṛta","start":"17:09","end":"18:49","startHours":17.14864173435414,"endHours":18.824548009625794,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:49","end":"20:09","startHours":18.824548009625794,"endHours":20.14864173435414,"quality":"neutral"},{"name":"Labha","start":"20:09","end":"21:28","startHours":20.14864173435414,"endHours":21.472735459082486,"quality":"auspicious"},{"name":"Amṛta","start":"21:28","end":"22:48","startHours":21.472735459082486,"endHours":22.796829183810836,"quality":"auspicious"},{"name":"Kāla","start":"22:48","end":"00:07","startHours":22.796829183810836,"endHours":24.120922908539182,"quality":"inauspicious"},{"name":"Śubha","start":"00:07","end":"01:27","startHours":24.120922908539182,"endHours":25.445016633267528,"quality":"auspicious"},{"name":"Roga","start":"01:27","end":"02:46","startHours":25.445016633267528,"endHours":26.769110357995878,"quality":"inauspicious"},{"name":"Udveg","start":"02:46","end":"04:06","startHours":26.769110357995878,"endHours":28.093204082724224,"quality":"inauspicious"},{"name":"Chala","start":"04:06","end":"05:25","startHours":28.093204082724224,"endHours":29.41729780745257,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:25","end":"06:25","startHours":5.417297807452571,"endHours":6.417297807452571,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:25","end":"07:25","startHours":6.417297807452571,"endHours":7.417297807452571,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:25","end":"08:25","startHours":7.417297807452571,"endHours":8.41729780745257,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:25","end":"09:25","startHours":8.41729780745257,"endHours":9.41729780745257,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:25","end":"10:25","startHours":9.41729780745257,"endHours":10.41729780745257,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:25","end":"11:25","startHours":10.41729780745257,"endHours":11.41729780745257,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:25","end":"12:25","startHours":11.41729780745257,"endHours":12.41729780745257,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:25","end":"13:25","startHours":12.41729780745257,"endHours":13.41729780745257,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:25","end":"14:25","startHours":13.41729780745257,"endHours":14.41729780745257,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:25","end":"15:25","startHours":14.41729780745257,"endHours":15.41729780745257,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:25","end":"16:25","startHours":15.41729780745257,"endHours":16.41729780745257,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:25","end":"17:25","startHours":16.41729780745257,"endHours":17.41729780745257,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:25","end":"18:25","startHours":17.41729780745257,"endHours":18.41729780745257,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:25","end":"19:25","startHours":18.41729780745257,"endHours":19.41729780745257,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:25","end":"20:25","startHours":19.41729780745257,"endHours":20.41729780745257,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:25","end":"21:25","startHours":20.41729780745257,"endHours":21.41729780745257,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:25","end":"22:25","startHours":21.41729780745257,"endHours":22.41729780745257,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:25","end":"23:25","startHours":22.41729780745257,"endHours":23.41729780745257,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:25","end":"00:25","startHours":23.41729780745257,"endHours":24.41729780745257,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:25","end":"01:25","startHours":24.41729780745257,"endHours":25.41729780745257,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:25","end":"02:25","startHours":25.41729780745257,"endHours":26.41729780745257,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:25","end":"03:25","startHours":26.41729780745257,"endHours":27.41729780745257,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:25","end":"04:25","startHours":27.41729780745257,"endHours":28.41729780745257,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:25","end":"05:25","startHours":28.41729780745257,"endHours":29.41729780745257,"planetary_lord":"Venus"}],"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":"North-East","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.194955623270832,"eotMinutes":-6.071374512350812,"ayanamsa":24.4897}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Tṛtīyā · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"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":"ayodhya"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 31, 2045 CE · Ayodhyā · Vidhyamitra","description":"July 31, 2045 CE for Ayodhyā: Kṛṣṇa Tṛtīyā, sūryodaya 05:25, sūryāsta 18:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2045-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2045-07-31","sa":"https://sa.vidhyamitra.com/city/ayodhya/2045-07-31","hi":"https://hi.vidhyamitra.com/city/ayodhya/2045-07-31","x-default":"https://vidhyamitra.com/city/ayodhya/2045-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-16T12:21:31.112Z","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":"2026-05-16T12:21:31.112Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-16T12:21:31.112Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}