{"id":"vidhyamitra:city-day:badrinath:-0468-03-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-0468-03-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0468-03-07","date_display":"March 7, 469 BCE","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":-468,"month":3,"day":7,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550186.770833,"kali_year":2633,"ahargana":961721.2708,"sun":{"sidereal_longitude":357.3688,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":332.9671,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":335.5983,"elapsed_within_tithi_degrees":11.5983},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":332.9671,"elapsed_within_degrees":12.9671},"yoga":{"number":25,"name":"Brahma","sum_longitude":330.336},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":-468,"month":3,"day":7,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1550186.770833,"ahargana":961721.2708,"kali_year":2633,"ayanamsa_lahiri":-10.6206,"grahas":{"sun":{"sidereal_longitude":357.3688,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":332.9671,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false,"latitude":-0.8124},"mars":{"sidereal_longitude":330.7505,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":2.5315,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":354.853,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":4.4575,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":121.1923,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":343.3789,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":163.3789,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":-468,"month":3,"day":7,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550186.770833,"kali_year":2633,"ahargana":961721.2708,"sun":{"sidereal_longitude":357.3688,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":332.9671,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":335.5983,"elapsed_within_tithi_degrees":11.5983},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":332.9671,"elapsed_within_degrees":12.9671},"yoga":{"number":25,"name":"Brahma","sum_longitude":330.336},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.812,"elongation":24.402},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.812,"opposition_distance":155.598}},"eclipse_window_40days":[{"offset_days":2,"type":"solar","occurs":true,"moon_latitude":1.203,"elongation":0.524}]},"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":"06:32","sunsetLocal":"18:15","solarNoonLocal":"12:24","dayLengthHours":11.713695725862262,"dayLengthDisplay":"11 Hours 42 Mins 49 Secs","nightLengthDisplay":"12 Hours 17 Mins 11 Secs","moonriseLocal":"05:18","moonsetLocal":"16:15","rahuKala":{"name":"Rāhu Kāla","start":"12:24","end":"13:52","startHours":12.396594979564206,"endHours":13.86080694529699,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:00","end":"09:28","startHours":8.003959082365858,"endHours":9.468171048098641,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:56","end":"12:24","startHours":10.932383013831423,"endHours":12.396594979564206,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:16","end":"09:40","startHours":9.272942786000936,"endHours":9.663399310196345,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:02","end":"07:20","startHours":7.027817771877337,"endHours":7.340182991233664,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:00","end":"12:47","startHours":12.006138455368799,"endHours":12.787051503759617,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:59","end":"05:46","startHours":4.977921019851441,"endHours":5.758834068242258,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:34","end":"06:32","startHours":5.563605806144554,"endHours":6.539747116633076,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:08","startHours":14.34887760054125,"endHours":15.129790648932067,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:03","end":"18:27","startHours":18.05344284249534,"endHours":18.45344284249534,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:15","end":"18:44","startHours":18.25344284249534,"endHours":18.7415134977396,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:00","end":"19:45","startHours":18.00344284249534,"endHours":19.75344284249534,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:00","end":"00:47","startHours":24.0061384553688,"endHours":24.787051503759614,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:32","end":"08:00","startHours":6.539747116633076,"endHours":8.003959082365858,"quality":"auspicious"},{"name":"Amṛta","start":"08:00","end":"09:28","startHours":8.003959082365858,"endHours":9.468171048098641,"quality":"auspicious"},{"name":"Kāla","start":"09:28","end":"10:56","startHours":9.468171048098641,"endHours":10.932383013831423,"quality":"inauspicious"},{"name":"Śubha","start":"10:56","end":"12:24","startHours":10.932383013831423,"endHours":12.396594979564206,"quality":"auspicious"},{"name":"Roga","start":"12:24","end":"13:52","startHours":12.396594979564206,"endHours":13.86080694529699,"quality":"inauspicious"},{"name":"Udveg","start":"13:52","end":"15:20","startHours":13.86080694529699,"endHours":15.325018911029773,"quality":"inauspicious"},{"name":"Chala","start":"15:20","end":"16:47","startHours":15.325018911029773,"endHours":16.789230876762556,"quality":"neutral"},{"name":"Labha","start":"16:47","end":"18:15","startHours":16.789230876762556,"endHours":18.25344284249534,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:15","end":"19:47","startHours":18.25344284249534,"endHours":19.789230876762556,"quality":"inauspicious"},{"name":"Chala","start":"19:47","end":"21:20","startHours":19.789230876762556,"endHours":21.325018911029773,"quality":"neutral"},{"name":"Labha","start":"21:20","end":"22:52","startHours":21.325018911029773,"endHours":22.860806945296993,"quality":"auspicious"},{"name":"Amṛta","start":"22:52","end":"00:24","startHours":22.860806945296993,"endHours":24.396594979564206,"quality":"auspicious"},{"name":"Kāla","start":"00:24","end":"01:56","startHours":24.396594979564206,"endHours":25.932383013831426,"quality":"inauspicious"},{"name":"Śubha","start":"01:56","end":"03:28","startHours":25.932383013831426,"endHours":27.468171048098643,"quality":"auspicious"},{"name":"Roga","start":"03:28","end":"05:00","startHours":27.468171048098643,"endHours":29.00395908236586,"quality":"inauspicious"},{"name":"Udveg","start":"05:00","end":"06:32","startHours":29.00395908236586,"endHours":30.539747116633077,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.539747116633076,"endHours":7.539747116633076,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.539747116633076,"endHours":8.539747116633077,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.539747116633077,"endHours":9.539747116633077,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.539747116633077,"endHours":10.539747116633077,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.539747116633077,"endHours":11.539747116633077,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.539747116633077,"endHours":12.539747116633077,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.539747116633077,"endHours":13.539747116633077,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.539747116633077,"endHours":14.539747116633077,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.539747116633077,"endHours":15.539747116633077,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.539747116633077,"endHours":16.539747116633077,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.539747116633077,"endHours":17.539747116633077,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.539747116633077,"endHours":18.539747116633077,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.539747116633077,"endHours":19.539747116633077,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.539747116633077,"endHours":20.539747116633077,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.539747116633077,"endHours":21.539747116633077,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.539747116633077,"endHours":22.539747116633077,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.539747116633077,"endHours":23.539747116633077,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.539747116633077,"endHours":24.539747116633077,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.539747116633077,"endHours":25.539747116633077,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.539747116633077,"endHours":26.539747116633077,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.539747116633077,"endHours":27.539747116633077,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.539747116633077,"endHours":28.539747116633077,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.539747116633077,"endHours":29.539747116633077,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.539747116633077,"endHours":30.539747116633077,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-5.23106937744507,"eotMinutes":-11.770898773852434,"ayanamsa":-10.6206}},"calendars":{"vikram_samvat":-411,"saka_samvat":-546,"bengali_samvat":-1061,"malayalam_era":-1292,"nanakshahi_year":-1937,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Trayodaśī · Vikram -411 undefined · Śaka -546 undefined"},"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":"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":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"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 March 7, 469 BCE · Badarīnāth · Vidhyamitra","description":"March 7, 469 BCE for Badarīnāth: Kṛṣṇa Trayodaśī, sūryodaya 06:32, sūryāsta 18:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-0468-03-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-0468-03-07","sa":"https://sa.vidhyamitra.com/city/badrinath/-0468-03-07","hi":"https://hi.vidhyamitra.com/city/badrinath/-0468-03-07","x-default":"https://vidhyamitra.com/city/badrinath/-0468-03-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T05:28:58.931Z","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":"2026-08-12T05:28:58.931Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T05:28:58.931Z","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":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"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"}}}