{"id":"vidhyamitra:city-day:badrinath:2040-09-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2040-09-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2040-09-04","date_display":"September 4, 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":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466401.770833,"kali_year":5142,"ahargana":1877936.2708,"sun":{"sidereal_longitude":136.9228,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":106.8993,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":329.9765,"elapsed_within_tithi_degrees":5.9765},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":106.8993,"elapsed_within_degrees":0.2327},"yoga":{"number":19,"name":"Parigha","sum_longitude":243.8221},"karana":{"half_tithi_index":54,"name":"Gara"},"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":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2466401.770833,"ahargana":1877936.2708,"kali_year":5142,"ayanamsa_lahiri":24.4212,"grahas":{"sun":{"sidereal_longitude":137.71817199999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":108.73407199999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false,"latitude":4.2006},"mars":{"sidereal_longitude":168.160572,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":155.37057200000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":160.68487200000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":163.012072,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":165.85067200000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":37.8991,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":217.8991,"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":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2466401.770833,"kali_year":5142,"ahargana":1877936.2708,"sun":{"sidereal_longitude":136.9228,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":106.8993,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":329.9765,"elapsed_within_tithi_degrees":5.9765},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":106.8993,"elapsed_within_degrees":0.2327},"yoga":{"number":19,"name":"Parigha","sum_longitude":243.8221},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.201,"elongation":30.023},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.201,"opposition_distance":149.977}},"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":"05:50","sunsetLocal":"18:31","solarNoonLocal":"12:11","dayLengthHours":12.689577332950448,"dayLengthDisplay":"12 Hours 41 Mins 22 Secs","nightLengthDisplay":"11 Hours 18 Mins 38 Secs","moonriseLocal":"03:30","moonsetLocal":"16:59","rahuKala":{"name":"Rāhu Kāla","start":"15:21","end":"16:56","startHours":15.347843731616678,"endHours":16.934040898235484,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:00","end":"10:35","startHours":9.003055065141455,"endHours":10.589252231760259,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:11","end":"13:46","startHours":12.175449398379065,"endHours":13.761646564997871,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:13","startHours":8.791562109592281,"endHours":9.214548020690629,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:22","end":"06:42","startHours":6.359393120776778,"endHours":6.697781849655456,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:45","end":"12:36","startHours":11.752463487280718,"endHours":12.598435309477413,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:08","end":"04:59","startHours":4.138717087510449,"endHours":4.984688909707145,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:46","end":"05:50","startHours":4.773195954157972,"endHours":5.830660731903842,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:08","startHours":14.290378953870809,"endHours":15.136350776067506,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:19","end":"18:43","startHours":18.32023806485429,"endHours":18.72023806485429,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:31","end":"19:03","startHours":18.52023806485429,"endHours":19.048970453727225,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:16","end":"20:01","startHours":18.27023806485429,"endHours":20.02023806485429,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:45","end":"00:36","startHours":23.752463487280718,"endHours":24.598435309477413,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:50","end":"07:25","startHours":5.830660731903842,"endHours":7.4168578985226485,"quality":"inauspicious"},{"name":"Udveg","start":"07:25","end":"09:00","startHours":7.4168578985226485,"endHours":9.003055065141455,"quality":"inauspicious"},{"name":"Chala","start":"09:00","end":"10:35","startHours":9.003055065141455,"endHours":10.589252231760259,"quality":"neutral"},{"name":"Labha","start":"10:35","end":"12:11","startHours":10.589252231760259,"endHours":12.175449398379065,"quality":"auspicious"},{"name":"Amṛta","start":"12:11","end":"13:46","startHours":12.175449398379065,"endHours":13.761646564997871,"quality":"auspicious"},{"name":"Kāla","start":"13:46","end":"15:21","startHours":13.761646564997871,"endHours":15.347843731616678,"quality":"inauspicious"},{"name":"Śubha","start":"15:21","end":"16:56","startHours":15.347843731616678,"endHours":16.934040898235484,"quality":"auspicious"},{"name":"Roga","start":"16:56","end":"18:31","startHours":16.934040898235484,"endHours":18.52023806485429,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:31","end":"19:56","startHours":18.52023806485429,"endHours":19.934040898235484,"quality":"inauspicious"},{"name":"Śubha","start":"19:56","end":"21:21","startHours":19.934040898235484,"endHours":21.347843731616678,"quality":"auspicious"},{"name":"Roga","start":"21:21","end":"22:46","startHours":21.347843731616678,"endHours":22.76164656499787,"quality":"inauspicious"},{"name":"Udveg","start":"22:46","end":"00:11","startHours":22.76164656499787,"endHours":24.175449398379065,"quality":"inauspicious"},{"name":"Chala","start":"00:11","end":"01:35","startHours":24.175449398379065,"endHours":25.58925223176026,"quality":"neutral"},{"name":"Labha","start":"01:35","end":"03:00","startHours":25.58925223176026,"endHours":27.003055065141453,"quality":"auspicious"},{"name":"Amṛta","start":"03:00","end":"04:25","startHours":27.003055065141453,"endHours":28.41685789852265,"quality":"auspicious"},{"name":"Kāla","start":"04:25","end":"05:50","startHours":28.41685789852265,"endHours":29.83066073190384,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:50","end":"06:50","startHours":5.830660731903842,"endHours":6.830660731903842,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:50","end":"07:50","startHours":6.830660731903842,"endHours":7.830660731903842,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:50","end":"08:50","startHours":7.830660731903842,"endHours":8.830660731903842,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:50","end":"09:50","startHours":8.830660731903842,"endHours":9.830660731903842,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:50","end":"10:50","startHours":9.830660731903842,"endHours":10.830660731903842,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:50","end":"11:50","startHours":10.830660731903842,"endHours":11.830660731903842,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:50","end":"12:50","startHours":11.830660731903842,"endHours":12.830660731903842,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:50","end":"13:50","startHours":12.830660731903842,"endHours":13.830660731903842,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:50","end":"14:50","startHours":13.830660731903842,"endHours":14.830660731903842,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:50","end":"15:50","startHours":14.830660731903842,"endHours":15.830660731903842,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:50","end":"16:50","startHours":15.830660731903842,"endHours":16.83066073190384,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:50","end":"17:50","startHours":16.83066073190384,"endHours":17.83066073190384,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:50","end":"18:50","startHours":17.83066073190384,"endHours":18.83066073190384,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:50","end":"19:50","startHours":18.83066073190384,"endHours":19.83066073190384,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:50","end":"20:50","startHours":19.83066073190384,"endHours":20.83066073190384,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:50","end":"21:50","startHours":20.83066073190384,"endHours":21.83066073190384,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:50","end":"22:50","startHours":21.83066073190384,"endHours":22.83066073190384,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:50","end":"23:50","startHours":22.83066073190384,"endHours":23.83066073190384,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:50","end":"00:50","startHours":23.83066073190384,"endHours":24.83066073190384,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:50","end":"01:50","startHours":24.83066073190384,"endHours":25.83066073190384,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:50","end":"02:50","startHours":25.83066073190384,"endHours":26.83066073190384,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:50","end":"03:50","startHours":26.83066073190384,"endHours":27.83066073190384,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:50","end":"04:50","startHours":27.83066073190384,"endHours":28.83066073190384,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:50","end":"05:50","startHours":28.83066073190384,"endHours":29.83066073190384,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Mṛtyu","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":7.006710779293016,"eotMinutes":1.4978360972560227,"ayanamsa":24.4212}},"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 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 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 4, 2040 CE · Badarīnāth · Vidhyamitra","description":"September 4, 2040 CE for Badarīnāth: Kṛṣṇa Trayodaśī, sūryodaya 05:50, sūryāsta 18:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2040-09-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2040-09-04","sa":"https://sa.vidhyamitra.com/city/badrinath/2040-09-04","hi":"https://hi.vidhyamitra.com/city/badrinath/2040-09-04","x-default":"https://vidhyamitra.com/city/badrinath/2040-09-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T18:18:09.785Z","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":"2026-09-11T18:18:09.785Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T18:18:09.785Z","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"}}}