{"id":"vidhyamitra:city-day:badrinath:2115-08-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2115-08-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-08-18","date_display":"August 18, 2115 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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2115,"month":8,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493776.770833,"kali_year":5217,"ahargana":1905311.2708,"sun":{"sidereal_longitude":118.2827,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":92.9871,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":334.7045,"elapsed_within_tithi_degrees":10.7045},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":92.9871,"elapsed_within_degrees":12.9871},"yoga":{"number":16,"name":"Siddhi","sum_longitude":211.2698},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":2115,"month":8,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493776.770833,"ahargana":1905311.2708,"kali_year":5217,"ayanamsa_lahiri":25.4682,"grahas":{"sun":{"sidereal_longitude":119.17904599999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":91.82504599999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":4.0956},"mars":{"sidereal_longitude":130.95574599999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":144.17614600000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":266.7737460000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":125.75644599999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":358.193846,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":27.4399,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":207.4399,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2115,"month":8,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493776.770833,"kali_year":5217,"ahargana":1905311.2708,"sun":{"sidereal_longitude":118.2827,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":92.9871,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":334.7045,"elapsed_within_tithi_degrees":10.7045},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":92.9871,"elapsed_within_degrees":12.9871},"yoga":{"number":16,"name":"Siddhi","sum_longitude":211.2698},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.096,"elongation":25.296},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.096,"opposition_distance":154.704}},"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":"05:39","sunsetLocal":"18:52","solarNoonLocal":"12:16","dayLengthHours":13.212376460378643,"dayLengthDisplay":"13 Hours 12 Mins 45 Secs","nightLengthDisplay":"10 Hours 47 Mins 15 Secs","moonriseLocal":"03:31","moonsetLocal":"17:21","rahuKala":{"name":"Rāhu Kāla","start":"17:13","end":"18:52","startHours":17.2138554679905,"endHours":18.865402525537828,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:16","end":"13:55","startHours":12.259214295348507,"endHours":13.910761352895836,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:34","end":"17:13","startHours":15.562308410443169,"endHours":17.2138554679905,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:44","end":"09:11","startHours":8.735913905914202,"endHours":9.176326454593491,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:12","end":"06:33","startHours":6.203541751008296,"endHours":6.555871789951727,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:42","startHours":11.818801746669218,"endHours":12.699626844027796,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:53","end":"04:46","startHours":3.891375870442034,"endHours":4.77220096780061,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:33","end":"05:39","startHours":4.551994693460966,"endHours":5.653026065159186,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:21","startHours":14.46127703874495,"endHours":15.342102136103525,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:40","end":"19:04","startHours":18.66540252553783,"endHours":19.065402525537827,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:52","end":"19:25","startHours":18.865402525537828,"endHours":19.415918211386938,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:37","end":"20:22","startHours":18.615402525537828,"endHours":20.365402525537828,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:42","startHours":23.81880174666922,"endHours":24.699626844027794,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:39","end":"07:18","startHours":5.653026065159186,"endHours":7.3045731227065165,"quality":"inauspicious"},{"name":"Chala","start":"07:18","end":"08:57","startHours":7.3045731227065165,"endHours":8.956120180253848,"quality":"neutral"},{"name":"Labha","start":"08:57","end":"10:36","startHours":8.956120180253848,"endHours":10.607667237801177,"quality":"auspicious"},{"name":"Amṛta","start":"10:36","end":"12:16","startHours":10.607667237801177,"endHours":12.259214295348507,"quality":"auspicious"},{"name":"Kāla","start":"12:16","end":"13:55","startHours":12.259214295348507,"endHours":13.910761352895836,"quality":"inauspicious"},{"name":"Śubha","start":"13:55","end":"15:34","startHours":13.910761352895836,"endHours":15.562308410443169,"quality":"auspicious"},{"name":"Roga","start":"15:34","end":"17:13","startHours":15.562308410443169,"endHours":17.2138554679905,"quality":"inauspicious"},{"name":"Udveg","start":"17:13","end":"18:52","startHours":17.2138554679905,"endHours":18.865402525537828,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:52","end":"20:13","startHours":18.865402525537828,"endHours":20.2138554679905,"quality":"auspicious"},{"name":"Roga","start":"20:13","end":"21:34","startHours":20.2138554679905,"endHours":21.562308410443165,"quality":"inauspicious"},{"name":"Udveg","start":"21:34","end":"22:55","startHours":21.562308410443165,"endHours":22.910761352895836,"quality":"inauspicious"},{"name":"Chala","start":"22:55","end":"00:16","startHours":22.910761352895836,"endHours":24.259214295348507,"quality":"neutral"},{"name":"Labha","start":"00:16","end":"01:36","startHours":24.259214295348507,"endHours":25.607667237801177,"quality":"auspicious"},{"name":"Amṛta","start":"01:36","end":"02:57","startHours":25.607667237801177,"endHours":26.956120180253848,"quality":"auspicious"},{"name":"Kāla","start":"02:57","end":"04:18","startHours":26.956120180253848,"endHours":28.304573122706515,"quality":"inauspicious"},{"name":"Śubha","start":"04:18","end":"05:39","startHours":28.304573122706515,"endHours":29.653026065159185,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:39","end":"06:39","startHours":5.653026065159186,"endHours":6.653026065159186,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:39","end":"07:39","startHours":6.653026065159186,"endHours":7.653026065159186,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:39","end":"08:39","startHours":7.653026065159186,"endHours":8.653026065159185,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:39","end":"09:39","startHours":8.653026065159185,"endHours":9.653026065159185,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:39","end":"10:39","startHours":9.653026065159185,"endHours":10.653026065159185,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:39","end":"11:39","startHours":10.653026065159185,"endHours":11.653026065159185,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:39","end":"12:39","startHours":11.653026065159185,"endHours":12.653026065159185,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:39","end":"13:39","startHours":12.653026065159185,"endHours":13.653026065159185,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:39","end":"14:39","startHours":13.653026065159185,"endHours":14.653026065159185,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:39","end":"15:39","startHours":14.653026065159185,"endHours":15.653026065159185,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:39","end":"16:39","startHours":15.653026065159185,"endHours":16.653026065159185,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:39","end":"17:39","startHours":16.653026065159185,"endHours":17.653026065159185,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:39","end":"18:39","startHours":17.653026065159185,"endHours":18.653026065159185,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:39","end":"19:39","startHours":18.653026065159185,"endHours":19.653026065159185,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:39","end":"20:39","startHours":19.653026065159185,"endHours":20.653026065159185,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:39","end":"21:39","startHours":20.653026065159185,"endHours":21.653026065159185,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:39","end":"22:39","startHours":21.653026065159185,"endHours":22.653026065159185,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:39","end":"23:39","startHours":22.653026065159185,"endHours":23.653026065159185,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:39","end":"00:39","startHours":23.653026065159185,"endHours":24.653026065159185,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:39","end":"01:39","startHours":24.653026065159185,"endHours":25.653026065159185,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:39","end":"02:39","startHours":25.653026065159185,"endHours":26.653026065159185,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:39","end":"03:39","startHours":26.653026065159185,"endHours":27.653026065159185,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:39","end":"04:39","startHours":27.653026065159185,"endHours":28.653026065159185,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:39","end":"05:39","startHours":28.653026065159185,"endHours":29.653026065159185,"planetary_lord":"Jupiter"}],"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvaja","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":13.304814472181683,"eotMinutes":-3.5280577209103767,"ayanamsa":25.4682}},"calendars":{"vikram_samvat":2172,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2037,"saka_samvatsara":"Yuva","bengali_samvat":1522,"malayalam_era":1291,"nanakshahi_year":646,"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":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Trayodaśī · Vikram 2172 Sarvadhāri · Śaka 2037 Yuva"},"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":"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":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5}]},"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 August 18, 2115 CE · Badarīnāth · Vidhyamitra","description":"August 18, 2115 CE for Badarīnāth: Kṛṣṇa Trayodaśī, sūryodaya 05:39, sūryāsta 18:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2115-08-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2115-08-18","sa":"https://sa.vidhyamitra.com/city/badrinath/2115-08-18","hi":"https://hi.vidhyamitra.com/city/badrinath/2115-08-18","x-default":"https://vidhyamitra.com/city/badrinath/2115-08-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T00:48:45.282Z","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":"2026-06-01T00:48:45.282Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T00:48:45.282Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}