{"id":"vidhyamitra:city-day:badrinath:-3115-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3115-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3115-08-13","date_display":"August 13, 3116 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":-3115,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":583528.770833,"kali_year":-13,"ahargana":-4936.7292,"sun":{"sidereal_longitude":171.9856,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":114.6935,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":302.7079,"elapsed_within_tithi_degrees":2.7079},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":114.6935,"elapsed_within_degrees":8.0268},"yoga":{"number":22,"name":"Sādhya","sum_longitude":286.6791},"karana":{"half_tithi_index":50,"name":"Bava"},"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":-3115,"month":8,"day":13,"hour":6,"minute":30,"calendar":"julian"},"julian_day":583528.770833,"ahargana":-4936.7292,"kali_year":-13,"ayanamsa_lahiri":-47.5916,"grahas":{"sun":{"sidereal_longitude":171.9856,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"moon":{"sidereal_longitude":114.6935,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"retrograde":false,"latitude":2.4571},"mars":{"sidereal_longitude":247.881,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":195.2959,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":297.439,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":136.6289,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":199.0316,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":81.5717,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":261.5717,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"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":-3115,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":583528.770833,"kali_year":-13,"ahargana":-4936.7292,"sun":{"sidereal_longitude":171.9856,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":114.6935,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":302.7079,"elapsed_within_tithi_degrees":2.7079},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":114.6935,"elapsed_within_degrees":8.0268},"yoga":{"number":22,"name":"Sādhya","sum_longitude":286.6791},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.457,"elongation":57.292},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.457,"opposition_distance":122.708}},"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":"05:25","sunsetLocal":"19:08","solarNoonLocal":"12:17","dayLengthHours":13.73026046943842,"dayLengthDisplay":"13 Hours 43 Mins 49 Secs","nightLengthDisplay":"10 Hours 16 Mins 11 Secs","moonriseLocal":"01:30","moonsetLocal":"15:25","rahuKala":{"name":"Rāhu Kāla","start":"12:17","end":"14:00","startHours":12.276438678970258,"endHours":13.99272123765006,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:08","end":"08:51","startHours":7.12759100293085,"endHours":8.843873561610653,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:34","end":"12:17","startHours":10.560156120290454,"endHours":12.276438678970258,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:37","end":"09:04","startHours":8.615035887120012,"endHours":9.072711236101293,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:21","startHours":5.983402630477649,"endHours":6.349542909662674,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:44","startHours":11.818763329988977,"endHours":12.73411402795154,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:35","end":"04:30","startHours":3.580607048325925,"endHours":4.495957746288486,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:16","end":"05:25","startHours":4.267120071797846,"endHours":5.4113084442510475,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:29","startHours":14.56481542387666,"endHours":15.48016612183922,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:56","end":"19:20","startHours":18.94156891368947,"endHours":19.341568913689468,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:08","end":"19:43","startHours":19.14156891368947,"endHours":19.71366309991607,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:53","end":"20:38","startHours":18.89156891368947,"endHours":20.64156891368947,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:44","startHours":23.81876332998898,"endHours":24.734114027951538,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:25","end":"07:08","startHours":5.4113084442510475,"endHours":7.12759100293085,"quality":"auspicious"},{"name":"Amṛta","start":"07:08","end":"08:51","startHours":7.12759100293085,"endHours":8.843873561610653,"quality":"auspicious"},{"name":"Kāla","start":"08:51","end":"10:34","startHours":8.843873561610653,"endHours":10.560156120290454,"quality":"inauspicious"},{"name":"Śubha","start":"10:34","end":"12:17","startHours":10.560156120290454,"endHours":12.276438678970258,"quality":"auspicious"},{"name":"Roga","start":"12:17","end":"14:00","startHours":12.276438678970258,"endHours":13.99272123765006,"quality":"inauspicious"},{"name":"Udveg","start":"14:00","end":"15:43","startHours":13.99272123765006,"endHours":15.709003796329863,"quality":"inauspicious"},{"name":"Chala","start":"15:43","end":"17:26","startHours":15.709003796329863,"endHours":17.425286355009664,"quality":"neutral"},{"name":"Labha","start":"17:26","end":"19:08","startHours":17.425286355009664,"endHours":19.14156891368947,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:08","end":"20:26","startHours":19.14156891368947,"endHours":20.425286355009668,"quality":"inauspicious"},{"name":"Chala","start":"20:26","end":"21:43","startHours":20.425286355009668,"endHours":21.709003796329863,"quality":"neutral"},{"name":"Labha","start":"21:43","end":"23:00","startHours":21.709003796329863,"endHours":22.99272123765006,"quality":"auspicious"},{"name":"Amṛta","start":"23:00","end":"00:17","startHours":22.99272123765006,"endHours":24.27643867897026,"quality":"auspicious"},{"name":"Kāla","start":"00:17","end":"01:34","startHours":24.27643867897026,"endHours":25.560156120290458,"quality":"inauspicious"},{"name":"Śubha","start":"01:34","end":"02:51","startHours":25.560156120290458,"endHours":26.843873561610653,"quality":"auspicious"},{"name":"Roga","start":"02:51","end":"04:08","startHours":26.843873561610653,"endHours":28.12759100293085,"quality":"inauspicious"},{"name":"Udveg","start":"04:08","end":"05:25","startHours":28.12759100293085,"endHours":29.41130844425105,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:25","end":"06:25","startHours":5.4113084442510475,"endHours":6.4113084442510475,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:25","end":"07:25","startHours":6.4113084442510475,"endHours":7.4113084442510475,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:25","end":"08:25","startHours":7.4113084442510475,"endHours":8.411308444251048,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:25","end":"09:25","startHours":8.411308444251048,"endHours":9.411308444251048,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:25","end":"10:25","startHours":9.411308444251048,"endHours":10.411308444251048,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:25","end":"11:25","startHours":10.411308444251048,"endHours":11.411308444251048,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:25","end":"12:25","startHours":11.411308444251048,"endHours":12.411308444251048,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:25","end":"13:25","startHours":12.411308444251048,"endHours":13.411308444251048,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:25","end":"14:25","startHours":13.411308444251048,"endHours":14.411308444251048,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:25","end":"15:25","startHours":14.411308444251048,"endHours":15.411308444251048,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:25","end":"16:25","startHours":15.411308444251048,"endHours":16.41130844425105,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:25","end":"17:25","startHours":16.41130844425105,"endHours":17.41130844425105,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:25","end":"18:25","startHours":17.41130844425105,"endHours":18.41130844425105,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:25","end":"19:25","startHours":18.41130844425105,"endHours":19.41130844425105,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:25","end":"20:25","startHours":19.41130844425105,"endHours":20.41130844425105,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:25","end":"21:25","startHours":20.41130844425105,"endHours":21.41130844425105,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:25","end":"22:25","startHours":21.41130844425105,"endHours":22.41130844425105,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:25","end":"23:25","startHours":22.41130844425105,"endHours":23.41130844425105,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:25","end":"00:25","startHours":23.41130844425105,"endHours":24.41130844425105,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:25","end":"01:25","startHours":24.41130844425105,"endHours":25.41130844425105,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:25","end":"02:25","startHours":25.41130844425105,"endHours":26.41130844425105,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:25","end":"03:25","startHours":26.41130844425105,"endHours":27.41130844425105,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:25","end":"04:25","startHours":27.41130844425105,"endHours":28.41130844425105,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:25","end":"05:25","startHours":28.41130844425105,"endHours":29.41130844425105,"planetary_lord":"Sun"}],"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":"South-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.1594349423555,"eotMinutes":-4.561520738215509,"ayanamsa":-47.5916}},"calendars":{"vikram_samvat":-3058,"saka_samvat":-3193,"bengali_samvat":-3708,"malayalam_era":-3939,"nanakshahi_year":-4584,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Ekādaśī · Vikram -3058 undefined · Śaka -3193 undefined"},"festivals":[{"id":"rama-ekadashi","name":"Ramā Ekādaśī","name_sanskrit":"रमा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu (with Ramā = Lakṣmī)","significance":"Lakṣmī (Ramā) granted boon to King Mucukunda.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Āśvina"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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 Ramā Ekādaśī · Ekādaśī 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 August 13, 3116 BCE · Badarīnāth · Vidhyamitra","description":"August 13, 3116 BCE for Badarīnāth: Kṛṣṇa Ekādaśī, sūryodaya 05:25, sūryāsta 19:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3115-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3115-08-13","sa":"https://sa.vidhyamitra.com/city/badrinath/-3115-08-13","hi":"https://hi.vidhyamitra.com/city/badrinath/-3115-08-13","x-default":"https://vidhyamitra.com/city/badrinath/-3115-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-13T12:43:29.513Z","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":"2026-08-13T12:43:29.513Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-13T12:43:29.513Z","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"}}}