{"id":"vidhyamitra:city-day:badrinath:2040-09-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2040-09-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-09-18","date_display":"September 18, 2040 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":2040,"month":9,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466415.770833,"kali_year":5142,"ahargana":1877950.2708,"sun":{"sidereal_longitude":150.4997,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":295.7829,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":145.2832,"elapsed_within_tithi_degrees":1.2832},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":295.7829,"elapsed_within_degrees":2.4496},"yoga":{"number":7,"name":"Sukarma","sum_longitude":86.2826},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2040,"month":9,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466415.770833,"ahargana":1877950.2708,"kali_year":5142,"ayanamsa_lahiri":24.4218,"grahas":{"sun":{"sidereal_longitude":151.33133800000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":294.382838,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false,"latitude":-4.4114},"mars":{"sidereal_longitude":177.35183800000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":175.36973799999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":163.64063799999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"venus":{"sidereal_longitude":180.081138,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":167.474738,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":37.1573,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":217.1573,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"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":2040,"month":9,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466415.770833,"kali_year":5142,"ahargana":1877950.2708,"sun":{"sidereal_longitude":150.4997,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":295.7829,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":145.2832,"elapsed_within_tithi_degrees":1.2832},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":295.7829,"elapsed_within_degrees":2.4496},"yoga":{"number":7,"name":"Sukarma","sum_longitude":86.2826},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.411,"elongation":145.283},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.411,"opposition_distance":34.717}},"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":"05:58","sunsetLocal":"18:13","solarNoonLocal":"12:05","dayLengthHours":12.263219955171799,"dayLengthDisplay":"12 Hours 15 Mins 48 Secs","nightLengthDisplay":"11 Hours 44 Mins 12 Secs","moonriseLocal":"16:12","moonsetLocal":"03:03","rahuKala":{"name":"Rāhu Kāla","start":"15:09","end":"16:41","startHours":15.156051285898378,"endHours":16.688953780294852,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:01","end":"10:33","startHours":9.024441308312479,"endHours":10.557343802708953,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:05","end":"13:37","startHours":12.090246297105427,"endHours":13.623148791501903,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:49","end":"09:14","startHours":8.820054309059614,"endHours":9.228828307565342,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:28","end":"06:48","startHours":6.469603817651687,"endHours":6.796623016456269,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:30","startHours":11.6814722985997,"endHours":12.499020295611153,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:19","end":"05:08","startHours":4.323540325496622,"endHours":5.141088322508075,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:56","end":"05:58","startHours":4.936701323255212,"endHours":5.958636319519528,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:57","startHours":14.134116289634061,"endHours":14.951664286645515,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:01","end":"18:25","startHours":18.021856274691327,"endHours":18.421856274691326,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:13","end":"18:44","startHours":18.221856274691326,"endHours":18.732823772823483,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:58","end":"19:43","startHours":17.971856274691326,"endHours":19.721856274691326,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:30","startHours":23.6814722985997,"endHours":24.499020295611153,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:58","end":"07:29","startHours":5.958636319519528,"endHours":7.491538813916003,"quality":"inauspicious"},{"name":"Udveg","start":"07:29","end":"09:01","startHours":7.491538813916003,"endHours":9.024441308312479,"quality":"inauspicious"},{"name":"Chala","start":"09:01","end":"10:33","startHours":9.024441308312479,"endHours":10.557343802708953,"quality":"neutral"},{"name":"Labha","start":"10:33","end":"12:05","startHours":10.557343802708953,"endHours":12.090246297105427,"quality":"auspicious"},{"name":"Amṛta","start":"12:05","end":"13:37","startHours":12.090246297105427,"endHours":13.623148791501903,"quality":"auspicious"},{"name":"Kāla","start":"13:37","end":"15:09","startHours":13.623148791501903,"endHours":15.156051285898378,"quality":"inauspicious"},{"name":"Śubha","start":"15:09","end":"16:41","startHours":15.156051285898378,"endHours":16.688953780294852,"quality":"auspicious"},{"name":"Roga","start":"16:41","end":"18:13","startHours":16.688953780294852,"endHours":18.221856274691326,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:13","end":"19:41","startHours":18.221856274691326,"endHours":19.688953780294852,"quality":"inauspicious"},{"name":"Śubha","start":"19:41","end":"21:09","startHours":19.688953780294852,"endHours":21.15605128589838,"quality":"auspicious"},{"name":"Roga","start":"21:09","end":"22:37","startHours":21.15605128589838,"endHours":22.6231487915019,"quality":"inauspicious"},{"name":"Udveg","start":"22:37","end":"00:05","startHours":22.6231487915019,"endHours":24.090246297105427,"quality":"inauspicious"},{"name":"Chala","start":"00:05","end":"01:33","startHours":24.090246297105427,"endHours":25.557343802708953,"quality":"neutral"},{"name":"Labha","start":"01:33","end":"03:01","startHours":25.557343802708953,"endHours":27.024441308312475,"quality":"auspicious"},{"name":"Amṛta","start":"03:01","end":"04:29","startHours":27.024441308312475,"endHours":28.491538813916,"quality":"auspicious"},{"name":"Kāla","start":"04:29","end":"05:58","startHours":28.491538813916,"endHours":29.958636319519528,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:58","end":"06:58","startHours":5.958636319519528,"endHours":6.958636319519528,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:58","end":"07:58","startHours":6.958636319519528,"endHours":7.958636319519528,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:58","end":"08:58","startHours":7.958636319519528,"endHours":8.958636319519528,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:58","end":"09:58","startHours":8.958636319519528,"endHours":9.958636319519528,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:58","end":"10:58","startHours":9.958636319519528,"endHours":10.958636319519528,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:58","end":"11:58","startHours":10.958636319519528,"endHours":11.958636319519528,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:58","end":"12:58","startHours":11.958636319519528,"endHours":12.958636319519528,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:58","end":"13:58","startHours":12.958636319519528,"endHours":13.958636319519528,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:58","end":"14:58","startHours":13.958636319519528,"endHours":14.958636319519528,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:58","end":"15:58","startHours":14.958636319519528,"endHours":15.958636319519528,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:58","end":"16:58","startHours":15.958636319519528,"endHours":16.958636319519528,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:58","end":"17:58","startHours":16.958636319519528,"endHours":17.958636319519528,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:58","end":"18:58","startHours":17.958636319519528,"endHours":18.958636319519528,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:58","end":"19:58","startHours":18.958636319519528,"endHours":19.958636319519528,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:58","end":"20:58","startHours":19.958636319519528,"endHours":20.958636319519528,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:58","end":"21:58","startHours":20.958636319519528,"endHours":21.958636319519528,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:58","end":"22:58","startHours":21.958636319519528,"endHours":22.958636319519528,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:58","end":"23:58","startHours":22.958636319519528,"endHours":23.958636319519528,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:58","end":"00:58","startHours":23.958636319519528,"endHours":24.958636319519528,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:58","end":"01:58","startHours":24.958636319519528,"endHours":25.958636319519528,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:58","end":"02:58","startHours":25.958636319519528,"endHours":26.958636319519528,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:58","end":"03:58","startHours":26.958636319519528,"endHours":27.958636319519528,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:58","end":"04:58","startHours":27.958636319519528,"endHours":28.958636319519528,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:58","end":"05:58","startHours":28.958636319519528,"endHours":29.958636319519528,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":1.6878127198270119,"eotMinutes":6.610022173674397,"ayanamsa":24.4218}},"calendars":{"vikram_samvat":2097,"vikram_samvatsara":"Śrīmukha","saka_samvat":1962,"saka_samvatsara":"Raudra","bengali_samvat":1447,"malayalam_era":1216,"nanakshahi_year":571,"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 Trayodaśī · Vikram 2097 Śrīmukha · Śaka 1962 Raudra"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Maṅgalavāra (Tuesday) — 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 18, 2040 CE · Badarīnāth · Vidhyamitra","description":"September 18, 2040 CE for Badarīnāth: Śukla Trayodaśī, sūryodaya 05:58, sūryāsta 18:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2040-09-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2040-09-18","sa":"https://sa.vidhyamitra.com/city/badrinath/2040-09-18","hi":"https://hi.vidhyamitra.com/city/badrinath/2040-09-18","x-default":"https://vidhyamitra.com/city/badrinath/2040-09-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T16:27:35.474Z","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":"2026-09-11T16:27:35.474Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T16:27:35.474Z","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"}}}