{"id":"vidhyamitra:city-day:badrinath:2157-08-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2157-08-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2157-08-13","date_display":"August 13, 2157 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":2157,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509112.770833,"kali_year":5259,"ahargana":1920647.2708,"sun":{"sidereal_longitude":113.6345,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":203.0388,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":89.4044,"elapsed_within_tithi_degrees":5.4044},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":203.0388,"elapsed_within_degrees":3.0388},"yoga":{"number":24,"name":"Śukla","sum_longitude":316.6733},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2157,"month":8,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509112.770833,"ahargana":1920647.2708,"kali_year":5259,"ayanamsa_lahiri":26.0548,"grahas":{"sun":{"sidereal_longitude":114.60819800000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":200.94739800000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false,"latitude":-4.4977},"mars":{"sidereal_longitude":203.048498,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":93.421198,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":114.99409800000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":155.31829800000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":153.64189799999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":294.8648,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":114.8648,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2157,"month":8,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509112.770833,"kali_year":5259,"ahargana":1920647.2708,"sun":{"sidereal_longitude":113.6345,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":203.0388,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":89.4044,"elapsed_within_tithi_degrees":5.4044},"nakshatra":{"number":16,"name":"Viśākhā","pada":1,"moon_longitude":203.0388,"elapsed_within_degrees":3.0388},"yoga":{"number":24,"name":"Śukla","sum_longitude":316.6733},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.498,"elongation":89.404},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.498,"opposition_distance":90.596}},"eclipse_window_40days":[{"offset_days":-8,"type":"solar","occurs":true,"moon_latitude":0.786,"elongation":0.793}]},"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":"05:37","sunsetLocal":"18:56","solarNoonLocal":"12:17","dayLengthHours":13.323947553584032,"dayLengthDisplay":"13 Hours 19 Mins 26 Secs","nightLengthDisplay":"10 Hours 40 Mins 34 Secs","moonriseLocal":"12:41","moonsetLocal":"23:23","rahuKala":{"name":"Rāhu Kāla","start":"08:57","end":"10:37","startHours":8.945451790574252,"endHours":10.610945234772256,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:57","end":"15:36","startHours":13.941932123168263,"endHours":15.607425567366267,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:37","end":"07:17","startHours":5.614464902178243,"endHours":7.279958346376247,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:43","end":"09:10","startHours":8.723385998014518,"endHours":9.167517583133986,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:10","end":"06:31","startHours":6.169629383577578,"endHours":6.524934651673153,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:43","startHours":11.83230709385079,"endHours":12.720570264089726,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:50","end":"04:44","startHours":3.837938561700372,"endHours":4.726201731939308,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:30","end":"05:37","startHours":4.504135939379574,"endHours":5.614464902178243,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:23","startHours":14.497096604567599,"endHours":15.385359774806535,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:44","end":"19:08","startHours":18.738412455762276,"endHours":19.138412455762275,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:56","end":"19:30","startHours":18.938412455762275,"endHours":19.49357693716161,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:41","end":"20:26","startHours":18.688412455762275,"endHours":20.438412455762275,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:43","startHours":23.83230709385079,"endHours":24.720570264089726,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:37","end":"07:17","startHours":5.614464902178243,"endHours":7.279958346376247,"quality":"inauspicious"},{"name":"Śubha","start":"07:17","end":"08:57","startHours":7.279958346376247,"endHours":8.945451790574252,"quality":"auspicious"},{"name":"Roga","start":"08:57","end":"10:37","startHours":8.945451790574252,"endHours":10.610945234772256,"quality":"inauspicious"},{"name":"Udveg","start":"10:37","end":"12:17","startHours":10.610945234772256,"endHours":12.276438678970258,"quality":"inauspicious"},{"name":"Chala","start":"12:17","end":"13:57","startHours":12.276438678970258,"endHours":13.941932123168263,"quality":"neutral"},{"name":"Labha","start":"13:57","end":"15:36","startHours":13.941932123168263,"endHours":15.607425567366267,"quality":"auspicious"},{"name":"Amṛta","start":"15:36","end":"17:16","startHours":15.607425567366267,"endHours":17.27291901156427,"quality":"auspicious"},{"name":"Kāla","start":"17:16","end":"18:56","startHours":17.27291901156427,"endHours":18.938412455762275,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:56","end":"20:16","startHours":18.938412455762275,"endHours":20.272919011564273,"quality":"auspicious"},{"name":"Amṛta","start":"20:16","end":"21:36","startHours":20.272919011564273,"endHours":21.607425567366267,"quality":"auspicious"},{"name":"Kāla","start":"21:36","end":"22:57","startHours":21.607425567366267,"endHours":22.941932123168264,"quality":"inauspicious"},{"name":"Śubha","start":"22:57","end":"00:17","startHours":22.941932123168264,"endHours":24.27643867897026,"quality":"auspicious"},{"name":"Roga","start":"00:17","end":"01:37","startHours":24.27643867897026,"endHours":25.610945234772256,"quality":"inauspicious"},{"name":"Udveg","start":"01:37","end":"02:57","startHours":25.610945234772256,"endHours":26.945451790574253,"quality":"inauspicious"},{"name":"Chala","start":"02:57","end":"04:17","startHours":26.945451790574253,"endHours":28.279958346376247,"quality":"neutral"},{"name":"Labha","start":"04:17","end":"05:37","startHours":28.279958346376247,"endHours":29.61446490217824,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:37","end":"06:37","startHours":5.614464902178243,"endHours":6.614464902178243,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:37","end":"07:37","startHours":6.614464902178243,"endHours":7.614464902178243,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:37","end":"08:37","startHours":7.614464902178243,"endHours":8.614464902178243,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:37","end":"09:37","startHours":8.614464902178243,"endHours":9.614464902178243,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:37","end":"10:37","startHours":9.614464902178243,"endHours":10.614464902178243,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:37","end":"11:37","startHours":10.614464902178243,"endHours":11.614464902178243,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:37","end":"12:37","startHours":11.614464902178243,"endHours":12.614464902178243,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:37","end":"13:37","startHours":12.614464902178243,"endHours":13.614464902178243,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:37","end":"14:37","startHours":13.614464902178243,"endHours":14.614464902178243,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:37","end":"15:37","startHours":14.614464902178243,"endHours":15.614464902178243,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:37","end":"16:37","startHours":15.614464902178243,"endHours":16.61446490217824,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:37","end":"17:37","startHours":16.61446490217824,"endHours":17.61446490217824,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:37","end":"18:37","startHours":17.61446490217824,"endHours":18.61446490217824,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:37","end":"19:37","startHours":18.61446490217824,"endHours":19.61446490217824,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:37","end":"20:37","startHours":19.61446490217824,"endHours":20.61446490217824,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:37","end":"21:37","startHours":20.61446490217824,"endHours":21.61446490217824,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:37","end":"22:37","startHours":21.61446490217824,"endHours":22.61446490217824,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:37","end":"23:37","startHours":22.61446490217824,"endHours":23.61446490217824,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:37","end":"00:37","startHours":23.61446490217824,"endHours":24.61446490217824,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:37","end":"01:37","startHours":24.61446490217824,"endHours":25.61446490217824,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:37","end":"02:37","startHours":25.61446490217824,"endHours":26.61446490217824,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:37","end":"03:37","startHours":26.61446490217824,"endHours":27.61446490217824,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:37","end":"04:37","startHours":27.61446490217824,"endHours":28.61446490217824,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:37","end":"05:37","startHours":28.61446490217824,"endHours":29.61446490217824,"planetary_lord":"Mercury"}],"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","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"East","anandadiYoga":{"name":"Maitra","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":14.60269336135654,"eotMinutes":-4.561520738215509,"ayanamsa":26.0548}},"calendars":{"vikram_samvat":2214,"vikram_samvatsara":"Pramoda","saka_samvat":2079,"saka_samvatsara":"Piṅgala","bengali_samvat":1564,"malayalam_era":1333,"nanakshahi_year":688,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","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":"Śrāvaṇa Śukla Aṣṭamī · Vikram 2214 Pramoda · Śaka 2079 Piṅgala"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","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 13, 2157 CE · Badarīnāth · Vidhyamitra","description":"August 13, 2157 CE for Badarīnāth: Śukla Aṣṭamī, sūryodaya 05:37, sūryāsta 18:56.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2157-08-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2157-08-13","sa":"https://sa.vidhyamitra.com/city/badrinath/2157-08-13","hi":"https://hi.vidhyamitra.com/city/badrinath/2157-08-13","x-default":"https://vidhyamitra.com/city/badrinath/2157-08-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T15:33:10.650Z","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":"2026-06-02T15:33:10.650Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T15:33:10.650Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}