{"id":"vidhyamitra:city-day:mysore:2045-09-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mysore/2045-09-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-09-20","date_display":"September 20, 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":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468243.770833,"kali_year":5147,"ahargana":1879778.2708,"sun":{"sidereal_longitude":152.1628,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":262.1459,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":109.9831,"elapsed_within_tithi_degrees":1.9831},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":262.1459,"elapsed_within_degrees":8.8125},"yoga":{"number":5,"name":"Śobhana","sum_longitude":54.3087},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468243.770833,"ahargana":1879778.2708,"kali_year":5147,"ayanamsa_lahiri":24.4917,"grahas":{"sun":{"sidereal_longitude":153.009995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":265.114995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false,"latitude":-2.7783},"mars":{"sidereal_longitude":112.56159500000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":161.521295,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":310.36489499999993,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":196.615095,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":221.182095,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":300.3011,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":120.3011,"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":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468243.770833,"kali_year":5147,"ahargana":1879778.2708,"sun":{"sidereal_longitude":152.1628,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":262.1459,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":109.9831,"elapsed_within_tithi_degrees":1.9831},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":262.1459,"elapsed_within_degrees":8.8125},"yoga":{"number":5,"name":"Śobhana","sum_longitude":54.3087},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.778,"elongation":109.983},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.778,"opposition_distance":70.017}},"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":"06:12","sunsetLocal":"18:20","solarNoonLocal":"12:16","dayLengthHours":12.142567560686057,"dayLengthDisplay":"12 Hours 08 Mins 33 Secs","nightLengthDisplay":"11 Hours 51 Mins 27 Secs","moonriseLocal":"14:02","moonsetLocal":"01:27","rahuKala":{"name":"Rāhu Kāla","start":"12:16","end":"13:47","startHours":12.268258087307427,"endHours":13.786079032393186,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:43","end":"09:14","startHours":7.7147952520501555,"endHours":9.232616197135913,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:45","end":"12:16","startHours":10.75043714222167,"endHours":12.268258087307427,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:02","end":"09:26","startHours":9.030240071124478,"endHours":9.434992323147348,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:42","end":"07:02","startHours":6.702914621992985,"endHours":7.02671642361128,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:40","startHours":11.86350583528456,"endHours":12.673010339330297,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:35","end":"05:23","startHours":4.5779652988729245,"endHours":5.387469802918662,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:11","end":"06:12","startHours":5.185093676907227,"endHours":6.196974306964399,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:06","startHours":14.292019347421771,"endHours":15.101523851467508,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:08","end":"18:32","startHours":18.139541867650458,"endHours":18.539541867650456,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:20","end":"18:51","startHours":18.339541867650457,"endHours":18.845482182679042,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:05","end":"19:50","startHours":18.089541867650457,"endHours":19.839541867650457,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:40","startHours":23.863505835284563,"endHours":24.673010339330297,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:12","end":"07:43","startHours":6.196974306964399,"endHours":7.7147952520501555,"quality":"auspicious"},{"name":"Amṛta","start":"07:43","end":"09:14","startHours":7.7147952520501555,"endHours":9.232616197135913,"quality":"auspicious"},{"name":"Kāla","start":"09:14","end":"10:45","startHours":9.232616197135913,"endHours":10.75043714222167,"quality":"inauspicious"},{"name":"Śubha","start":"10:45","end":"12:16","startHours":10.75043714222167,"endHours":12.268258087307427,"quality":"auspicious"},{"name":"Roga","start":"12:16","end":"13:47","startHours":12.268258087307427,"endHours":13.786079032393186,"quality":"inauspicious"},{"name":"Udveg","start":"13:47","end":"15:18","startHours":13.786079032393186,"endHours":15.303899977478942,"quality":"inauspicious"},{"name":"Chala","start":"15:18","end":"16:49","startHours":15.303899977478942,"endHours":16.821720922564698,"quality":"neutral"},{"name":"Labha","start":"16:49","end":"18:20","startHours":16.821720922564698,"endHours":18.339541867650457,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:20","end":"19:49","startHours":18.339541867650457,"endHours":19.8217209225647,"quality":"inauspicious"},{"name":"Chala","start":"19:49","end":"21:18","startHours":19.8217209225647,"endHours":21.30389997747894,"quality":"neutral"},{"name":"Labha","start":"21:18","end":"22:47","startHours":21.30389997747894,"endHours":22.786079032393186,"quality":"auspicious"},{"name":"Amṛta","start":"22:47","end":"00:16","startHours":22.786079032393186,"endHours":24.26825808730743,"quality":"auspicious"},{"name":"Kāla","start":"00:16","end":"01:45","startHours":24.26825808730743,"endHours":25.75043714222167,"quality":"inauspicious"},{"name":"Śubha","start":"01:45","end":"03:14","startHours":25.75043714222167,"endHours":27.232616197135915,"quality":"auspicious"},{"name":"Roga","start":"03:14","end":"04:43","startHours":27.232616197135915,"endHours":28.71479525205016,"quality":"inauspicious"},{"name":"Udveg","start":"04:43","end":"06:12","startHours":28.71479525205016,"endHours":30.1969743069644,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:12","end":"07:12","startHours":6.196974306964399,"endHours":7.196974306964399,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:12","end":"08:12","startHours":7.196974306964399,"endHours":8.1969743069644,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:12","end":"09:12","startHours":8.1969743069644,"endHours":9.1969743069644,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:12","end":"10:12","startHours":9.1969743069644,"endHours":10.1969743069644,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:12","end":"11:12","startHours":10.1969743069644,"endHours":11.1969743069644,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:12","end":"12:12","startHours":11.1969743069644,"endHours":12.1969743069644,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:12","end":"13:12","startHours":12.1969743069644,"endHours":13.1969743069644,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:12","end":"14:12","startHours":13.1969743069644,"endHours":14.1969743069644,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:12","end":"15:12","startHours":14.1969743069644,"endHours":15.1969743069644,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:12","end":"16:12","startHours":15.1969743069644,"endHours":16.1969743069644,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:12","end":"17:12","startHours":16.1969743069644,"endHours":17.1969743069644,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:12","end":"18:12","startHours":17.1969743069644,"endHours":18.1969743069644,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:12","end":"19:12","startHours":18.1969743069644,"endHours":19.1969743069644,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:12","end":"20:12","startHours":19.1969743069644,"endHours":20.1969743069644,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:12","end":"21:12","startHours":20.1969743069644,"endHours":21.1969743069644,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:12","end":"22:12","startHours":21.1969743069644,"endHours":22.1969743069644,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:12","end":"23:12","startHours":22.1969743069644,"endHours":23.1969743069644,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:12","end":"00:12","startHours":23.1969743069644,"endHours":24.1969743069644,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:12","end":"01:12","startHours":24.1969743069644,"endHours":25.1969743069644,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:12","end":"02:12","startHours":25.1969743069644,"endHours":26.1969743069644,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:12","end":"03:12","startHours":26.1969743069644,"endHours":27.1969743069644,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:12","end":"04:12","startHours":27.1969743069644,"endHours":28.1969743069644,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:12","end":"05:12","startHours":28.1969743069644,"endHours":29.1969743069644,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:12","end":"06:12","startHours":29.1969743069644,"endHours":30.1969743069644,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":0.9933919255999578,"eotMinutes":7.346914761554353,"ayanamsa":24.4917}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","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":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Daśamī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"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 September 20, 2045 CE · Mysore, Karnataka · Vidhyamitra","description":"September 20, 2045 CE for Mysore, Karnataka: Śukla Daśamī, sūryodaya 06:12, sūryāsta 18:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mysore/2045-09-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mysore/2045-09-20","sa":"https://sa.vidhyamitra.com/city/mysore/2045-09-20","hi":"https://hi.vidhyamitra.com/city/mysore/2045-09-20","x-default":"https://vidhyamitra.com/city/mysore/2045-09-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T02:12:19.291Z","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":"2026-06-02T02:12:19.291Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T02:12:19.291Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}