{"id":"vidhyamitra:city-day:badrinath:2045-09-10:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2045-09-10","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-09-10","date_display":"September 10, 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":9,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468233.770833,"kali_year":5147,"ahargana":1879768.2708,"sun":{"sidereal_longitude":142.4421,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":129.3946,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":346.9525,"elapsed_within_tithi_degrees":10.9525},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":129.3946,"elapsed_within_degrees":9.3946},"yoga":{"number":21,"name":"Siddha","sum_longitude":271.8368},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":10,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468233.770833,"ahargana":1879768.2708,"kali_year":5147,"ayanamsa_lahiri":24.4913,"grahas":{"sun":{"sidereal_longitude":143.267377,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":128.871177,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":-0.6694},"mars":{"sidereal_longitude":106.28707700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":143.694277,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":311.56567700000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":185.30427699999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":220.60277700000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":300.8309,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":120.8309,"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":"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":9,"day":10,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468233.770833,"kali_year":5147,"ahargana":1879768.2708,"sun":{"sidereal_longitude":142.4421,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":129.3946,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":346.9525,"elapsed_within_tithi_degrees":10.9525},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":129.3946,"elapsed_within_degrees":9.3946},"yoga":{"number":21,"name":"Siddha","sum_longitude":271.8368},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.669,"elongation":13.047},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.669,"opposition_distance":166.953}},"eclipse_window_40days":[]},"city":{"slug":"badrinath","name":"Badarīnāth","lat":30.7433,"lon":79.4938,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha","elevation_m":3133},"tier2":{"city":{"slug":"badrinath","name":"Badarīnāth","lat":30.7433,"lon":79.4938,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha","elevation_m":3133},"sunriseLocal":"05:53","sunsetLocal":"18:24","solarNoonLocal":"12:08","dayLengthHours":12.514625639420785,"dayLengthDisplay":"12 Hours 30 Mins 53 Secs","nightLengthDisplay":"11 Hours 29 Mins 07 Secs","moonriseLocal":"04:43","moonsetLocal":"17:38","rahuKala":{"name":"Rāhu Kāla","start":"16:50","end":"18:24","startHours":16.832616318488693,"endHours":18.39694452341629,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:08","end":"13:42","startHours":12.139631703705899,"endHours":13.703959908633497,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:16","end":"16:50","startHours":15.268288113561095,"endHours":16.832616318488693,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:48","end":"09:13","startHours":8.802398199860356,"endHours":9.219552387841048,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:24","end":"06:44","startHours":6.403761618971372,"endHours":6.7374849693559264,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:43","end":"12:33","startHours":11.722477515725206,"endHours":12.55678589168659,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:13","end":"05:03","startHours":4.213702132072735,"endHours":5.04801050803412,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:50","end":"05:53","startHours":4.839433414043773,"endHours":5.882318883995506,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:14","end":"15:04","startHours":14.225402643609364,"endHours":15.05971101957075,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:12","end":"18:36","startHours":18.196944523416292,"endHours":18.59694452341629,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:24","end":"18:55","startHours":18.39694452341629,"endHours":18.91838725839216,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:09","end":"19:54","startHours":18.14694452341629,"endHours":19.89694452341629,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:43","end":"00:33","startHours":23.722477515725206,"endHours":24.55678589168659,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:53","end":"07:27","startHours":5.882318883995506,"endHours":7.446647088923104,"quality":"inauspicious"},{"name":"Chala","start":"07:27","end":"09:01","startHours":7.446647088923104,"endHours":9.010975293850702,"quality":"neutral"},{"name":"Labha","start":"09:01","end":"10:35","startHours":9.010975293850702,"endHours":10.5753034987783,"quality":"auspicious"},{"name":"Amṛta","start":"10:35","end":"12:08","startHours":10.5753034987783,"endHours":12.139631703705899,"quality":"auspicious"},{"name":"Kāla","start":"12:08","end":"13:42","startHours":12.139631703705899,"endHours":13.703959908633497,"quality":"inauspicious"},{"name":"Śubha","start":"13:42","end":"15:16","startHours":13.703959908633497,"endHours":15.268288113561095,"quality":"auspicious"},{"name":"Roga","start":"15:16","end":"16:50","startHours":15.268288113561095,"endHours":16.832616318488693,"quality":"inauspicious"},{"name":"Udveg","start":"16:50","end":"18:24","startHours":16.832616318488693,"endHours":18.39694452341629,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:24","end":"19:50","startHours":18.39694452341629,"endHours":19.832616318488693,"quality":"auspicious"},{"name":"Roga","start":"19:50","end":"21:16","startHours":19.832616318488693,"endHours":21.268288113561095,"quality":"inauspicious"},{"name":"Udveg","start":"21:16","end":"22:42","startHours":21.268288113561095,"endHours":22.703959908633497,"quality":"inauspicious"},{"name":"Chala","start":"22:42","end":"00:08","startHours":22.703959908633497,"endHours":24.1396317037059,"quality":"neutral"},{"name":"Labha","start":"00:08","end":"01:35","startHours":24.1396317037059,"endHours":25.5753034987783,"quality":"auspicious"},{"name":"Amṛta","start":"01:35","end":"03:01","startHours":25.5753034987783,"endHours":27.010975293850702,"quality":"auspicious"},{"name":"Kāla","start":"03:01","end":"04:27","startHours":27.010975293850702,"endHours":28.446647088923104,"quality":"inauspicious"},{"name":"Śubha","start":"04:27","end":"05:53","startHours":28.446647088923104,"endHours":29.882318883995506,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:53","end":"06:53","startHours":5.882318883995506,"endHours":6.882318883995506,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:53","end":"07:53","startHours":6.882318883995506,"endHours":7.882318883995506,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:53","end":"08:53","startHours":7.882318883995506,"endHours":8.882318883995506,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:53","end":"09:53","startHours":8.882318883995506,"endHours":9.882318883995506,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:53","end":"10:53","startHours":9.882318883995506,"endHours":10.882318883995506,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:53","end":"11:53","startHours":10.882318883995506,"endHours":11.882318883995506,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:53","end":"12:53","startHours":11.882318883995506,"endHours":12.882318883995506,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:53","end":"13:53","startHours":12.882318883995506,"endHours":13.882318883995506,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:53","end":"14:53","startHours":13.882318883995506,"endHours":14.882318883995506,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:53","end":"15:53","startHours":14.882318883995506,"endHours":15.882318883995506,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:53","end":"16:53","startHours":15.882318883995506,"endHours":16.882318883995506,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:53","end":"17:53","startHours":16.882318883995506,"endHours":17.882318883995506,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:53","end":"18:53","startHours":17.882318883995506,"endHours":18.882318883995506,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:53","end":"19:53","startHours":18.882318883995506,"endHours":19.882318883995506,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:53","end":"20:53","startHours":19.882318883995506,"endHours":20.882318883995506,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:53","end":"21:53","startHours":20.882318883995506,"endHours":21.882318883995506,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:53","end":"22:53","startHours":21.882318883995506,"endHours":22.882318883995506,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:53","end":"23:53","startHours":22.882318883995506,"endHours":23.882318883995506,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:53","end":"00:53","startHours":23.882318883995506,"endHours":24.882318883995506,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:53","end":"01:53","startHours":24.882318883995506,"endHours":25.882318883995506,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:53","end":"02:53","startHours":25.882318883995506,"endHours":26.882318883995506,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:53","end":"03:53","startHours":26.882318883995506,"endHours":27.882318883995506,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:53","end":"04:53","startHours":27.882318883995506,"endHours":28.882318883995506,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:53","end":"05:53","startHours":28.882318883995506,"endHours":29.882318883995506,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":4.837560739766234,"eotMinutes":3.6468977776461458,"ayanamsa":24.4913}},"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 Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Caturdaśī · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Dedicated festival walk for Māsika Śivarātri is not live yet; Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"badrinath"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga September 10, 2045 CE · Badarīnāth · Vidhyamitra","description":"September 10, 2045 CE for Badarīnāth: Kṛṣṇa Caturdaśī, sūryodaya 05:53, sūryāsta 18:24.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2045-09-10","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2045-09-10","sa":"https://sa.vidhyamitra.com/city/badrinath/2045-09-10","hi":"https://hi.vidhyamitra.com/city/badrinath/2045-09-10","x-default":"https://vidhyamitra.com/city/badrinath/2045-09-10"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T18:15:27.942Z","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":"2026-09-11T18:15:27.942Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T18:15:27.942Z","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":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}