{"id":"vidhyamitra:city-day:ayodhya:2045-09-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2045-09-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-09-30","date_display":"September 30, 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":9,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468253.770833,"kali_year":5147,"ahargana":1879788.2708,"sun":{"sidereal_longitude":161.949,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":27.7233,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":225.7743,"elapsed_within_tithi_degrees":9.7743},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":27.7233,"elapsed_within_degrees":1.0566},"yoga":{"number":15,"name":"Vajra","sum_longitude":189.6723},"karana":{"half_tithi_index":37,"name":"Bālava"},"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":9,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468253.770833,"ahargana":1879788.2708,"kali_year":5147,"ayanamsa_lahiri":24.492,"grahas":{"sun":{"sidereal_longitude":162.80521199999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"moon":{"sidereal_longitude":26.578912000000003,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":4.4971},"mars":{"sidereal_longitude":118.758712,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":177.69341200000008,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":309.354012,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":207.69401199999993,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":221.893512,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":299.7712,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":119.7712,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":"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":9,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468253.770833,"kali_year":5147,"ahargana":1879788.2708,"sun":{"sidereal_longitude":161.949,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":27.7233,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":225.7743,"elapsed_within_tithi_degrees":9.7743},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":27.7233,"elapsed_within_degrees":1.0566},"yoga":{"number":15,"name":"Vajra","sum_longitude":189.6723},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.497,"elongation":134.226},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.497,"opposition_distance":45.774}},"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":"05:52","sunsetLocal":"17:48","solarNoonLocal":"11:50","dayLengthHours":11.929395467168257,"dayLengthDisplay":"11 Hours 55 Mins 46 Secs","nightLengthDisplay":"12 Hours 04 Mins 14 Secs","moonriseLocal":"20:05","moonsetLocal":"09:26","rahuKala":{"name":"Rāhu Kāla","start":"08:51","end":"10:21","startHours":8.856639861291509,"endHours":10.347814294687542,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:20","end":"14:49","startHours":13.330163161479605,"endHours":14.821337594875638,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:52","end":"07:22","startHours":5.874290994499445,"endHours":7.365465427895477,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:39","end":"09:03","startHours":8.65781660350537,"endHours":9.055463119077647,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:41","startHours":6.3713491389647885,"endHours":6.689466351422609,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:26","end":"12:14","startHours":11.4413422125113,"endHours":12.236635243655849,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:17","end":"05:05","startHours":4.283704932210344,"endHours":5.078997963354894,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:53","end":"05:52","startHours":4.8801747055687565,"endHours":5.874290994499445,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:50","end":"14:37","startHours":13.82722130594495,"endHours":14.6225143370895,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:36","end":"18:00","startHours":17.603686461667703,"endHours":18.0036864616677,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:48","end":"18:18","startHours":17.803686461667702,"endHours":18.300744606133048,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:33","end":"19:18","startHours":17.553686461667702,"endHours":19.303686461667702,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:26","end":"00:14","startHours":23.441342212511298,"endHours":24.23663524365585,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:52","end":"07:22","startHours":5.874290994499445,"endHours":7.365465427895477,"quality":"inauspicious"},{"name":"Śubha","start":"07:22","end":"08:51","startHours":7.365465427895477,"endHours":8.856639861291509,"quality":"auspicious"},{"name":"Roga","start":"08:51","end":"10:21","startHours":8.856639861291509,"endHours":10.347814294687542,"quality":"inauspicious"},{"name":"Udveg","start":"10:21","end":"11:50","startHours":10.347814294687542,"endHours":11.838988728083574,"quality":"inauspicious"},{"name":"Chala","start":"11:50","end":"13:20","startHours":11.838988728083574,"endHours":13.330163161479605,"quality":"neutral"},{"name":"Labha","start":"13:20","end":"14:49","startHours":13.330163161479605,"endHours":14.821337594875638,"quality":"auspicious"},{"name":"Amṛta","start":"14:49","end":"16:19","startHours":14.821337594875638,"endHours":16.31251202827167,"quality":"auspicious"},{"name":"Kāla","start":"16:19","end":"17:48","startHours":16.31251202827167,"endHours":17.803686461667702,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:48","end":"19:19","startHours":17.803686461667702,"endHours":19.31251202827167,"quality":"auspicious"},{"name":"Amṛta","start":"19:19","end":"20:49","startHours":19.31251202827167,"endHours":20.821337594875637,"quality":"auspicious"},{"name":"Kāla","start":"20:49","end":"22:20","startHours":20.821337594875637,"endHours":22.330163161479604,"quality":"inauspicious"},{"name":"Śubha","start":"22:20","end":"23:50","startHours":22.330163161479604,"endHours":23.838988728083574,"quality":"auspicious"},{"name":"Roga","start":"23:50","end":"01:21","startHours":23.838988728083574,"endHours":25.34781429468754,"quality":"inauspicious"},{"name":"Udveg","start":"01:21","end":"02:51","startHours":25.34781429468754,"endHours":26.85663986129151,"quality":"inauspicious"},{"name":"Chala","start":"02:51","end":"04:22","startHours":26.85663986129151,"endHours":28.36546542789548,"quality":"neutral"},{"name":"Labha","start":"04:22","end":"05:52","startHours":28.36546542789548,"endHours":29.874290994499447,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:52","end":"06:52","startHours":5.874290994499445,"endHours":6.874290994499445,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:52","end":"07:52","startHours":6.874290994499445,"endHours":7.874290994499445,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:52","end":"08:52","startHours":7.874290994499445,"endHours":8.874290994499445,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:52","end":"09:52","startHours":8.874290994499445,"endHours":9.874290994499445,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:52","end":"10:52","startHours":9.874290994499445,"endHours":10.874290994499445,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:52","end":"11:52","startHours":10.874290994499445,"endHours":11.874290994499445,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:52","end":"12:52","startHours":11.874290994499445,"endHours":12.874290994499445,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:52","end":"13:52","startHours":12.874290994499445,"endHours":13.874290994499445,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:52","end":"14:52","startHours":13.874290994499445,"endHours":14.874290994499445,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:52","end":"15:52","startHours":14.874290994499445,"endHours":15.874290994499445,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:52","end":"16:52","startHours":15.874290994499445,"endHours":16.874290994499447,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:52","end":"17:52","startHours":16.874290994499447,"endHours":17.874290994499447,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:52","end":"18:52","startHours":17.874290994499447,"endHours":18.874290994499447,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:52","end":"19:52","startHours":18.874290994499447,"endHours":19.874290994499447,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:52","end":"20:52","startHours":19.874290994499447,"endHours":20.874290994499447,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:52","end":"21:52","startHours":20.874290994499447,"endHours":21.874290994499447,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:52","end":"22:52","startHours":21.874290994499447,"endHours":22.874290994499447,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:52","end":"23:52","startHours":22.874290994499447,"endHours":23.874290994499447,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:52","end":"00:52","startHours":23.874290994499447,"endHours":24.874290994499447,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:52","end":"01:52","startHours":24.874290994499447,"endHours":25.874290994499447,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:52","end":"02:52","startHours":25.874290994499447,"endHours":26.874290994499447,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:52","end":"03:52","startHours":26.874290994499447,"endHours":27.874290994499447,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:52","end":"04:52","startHours":27.874290994499447,"endHours":28.874290994499447,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:52","end":"05:52","startHours":28.874290994499447,"endHours":29.874290994499447,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-2.8957307415602647,"eotMinutes":10.844676314985584,"ayanamsa":24.492}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Caturthī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"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":"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 September 30, 2045 CE · Ayodhyā · Vidhyamitra","description":"September 30, 2045 CE for Ayodhyā: Kṛṣṇa Caturthī, sūryodaya 05:52, sūryāsta 17:48.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2045-09-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2045-09-30","sa":"https://sa.vidhyamitra.com/city/ayodhya/2045-09-30","hi":"https://hi.vidhyamitra.com/city/ayodhya/2045-09-30","x-default":"https://vidhyamitra.com/city/ayodhya/2045-09-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T02:44:16.567Z","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":"2026-05-31T02:44:16.567Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T02:44:16.567Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}