{"id":"vidhyamitra:city-day:badrinath:2121-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2121-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2121-07-13","date_display":"July 13, 2121 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":2121,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495932.770833,"kali_year":5223,"ahargana":1907467.2708,"sun":{"sidereal_longitude":84.4965,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":65.9869,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":341.4904,"elapsed_within_tithi_degrees":5.4904},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":65.9869,"elapsed_within_degrees":12.6535},"yoga":{"number":12,"name":"Dhruva","sum_longitude":150.4834},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"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":2121,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495932.770833,"ahargana":1907467.2708,"kali_year":5223,"ayanamsa_lahiri":25.5507,"grahas":{"sun":{"sidereal_longitude":85.19177100000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":65.87147099999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false,"latitude":2.0565},"mars":{"sidereal_longitude":147.173771,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":84.43947100000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":99.09857099999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"venus":{"sidereal_longitude":46.961370999999986,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":72.82337100000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":273.2046,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":93.2046,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"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":2121,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495932.770833,"kali_year":5223,"ahargana":1907467.2708,"sun":{"sidereal_longitude":84.4965,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":65.9869,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":341.4904,"elapsed_within_tithi_degrees":5.4904},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":65.9869,"elapsed_within_degrees":12.6535},"yoga":{"number":12,"name":"Dhruva","sum_longitude":150.4834},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.057,"elongation":18.51},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.057,"opposition_distance":161.49}},"eclipse_window_40days":[{"offset_days":17,"type":"lunar","occurs":true,"moon_latitude":0.554,"opposition_distance":1.232}]},"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":"05:18","sunsetLocal":"19:17","solarNoonLocal":"12:17","dayLengthHours":13.982073554784527,"dayLengthDisplay":"13 Hours 58 Mins 55 Secs","nightLengthDisplay":"10 Hours 01 Mins 05 Secs","moonriseLocal":"03:57","moonsetLocal":"18:03","rahuKala":{"name":"Rāhu Kāla","start":"17:32","end":"19:17","startHours":17.533048063813542,"endHours":19.28080725816161,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:17","end":"14:02","startHours":12.289770480769345,"endHours":14.037529675117412,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:47","end":"17:32","startHours":15.785288869465475,"endHours":17.533048063813542,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:34","end":"09:02","startHours":8.561217532826804,"endHours":9.02728665131962,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:53","end":"06:15","startHours":5.8813201014931025,"endHours":6.254175396287357,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:45","startHours":11.823701362276527,"endHours":12.755839599262163,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:26","end":"04:22","startHours":3.43445722940581,"endHours":4.366595466391446,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:08","end":"05:18","startHours":4.1335609071450365,"endHours":5.2987337033770805,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:33","startHours":14.620116073233433,"endHours":15.552254310219068,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.08080725816161,"endHours":19.480807258161608,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:52","startHours":19.28080725816161,"endHours":19.86339365627763,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.03080725816161,"endHours":20.78080725816161,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:45","startHours":23.823701362276527,"endHours":24.755839599262163,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:18","end":"07:03","startHours":5.2987337033770805,"endHours":7.046492897725146,"quality":"inauspicious"},{"name":"Chala","start":"07:03","end":"08:48","startHours":7.046492897725146,"endHours":8.794252092073211,"quality":"neutral"},{"name":"Labha","start":"08:48","end":"10:33","startHours":8.794252092073211,"endHours":10.542011286421278,"quality":"auspicious"},{"name":"Amṛta","start":"10:33","end":"12:17","startHours":10.542011286421278,"endHours":12.289770480769345,"quality":"auspicious"},{"name":"Kāla","start":"12:17","end":"14:02","startHours":12.289770480769345,"endHours":14.037529675117412,"quality":"inauspicious"},{"name":"Śubha","start":"14:02","end":"15:47","startHours":14.037529675117412,"endHours":15.785288869465475,"quality":"auspicious"},{"name":"Roga","start":"15:47","end":"17:32","startHours":15.785288869465475,"endHours":17.533048063813542,"quality":"inauspicious"},{"name":"Udveg","start":"17:32","end":"19:17","startHours":17.533048063813542,"endHours":19.28080725816161,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:17","end":"20:32","startHours":19.28080725816161,"endHours":20.533048063813542,"quality":"auspicious"},{"name":"Roga","start":"20:32","end":"21:47","startHours":20.533048063813542,"endHours":21.785288869465475,"quality":"inauspicious"},{"name":"Udveg","start":"21:47","end":"23:02","startHours":21.785288869465475,"endHours":23.037529675117412,"quality":"inauspicious"},{"name":"Chala","start":"23:02","end":"00:17","startHours":23.037529675117412,"endHours":24.289770480769345,"quality":"neutral"},{"name":"Labha","start":"00:17","end":"01:33","startHours":24.289770480769345,"endHours":25.54201128642128,"quality":"auspicious"},{"name":"Amṛta","start":"01:33","end":"02:48","startHours":25.54201128642128,"endHours":26.794252092073215,"quality":"auspicious"},{"name":"Kāla","start":"02:48","end":"04:03","startHours":26.794252092073215,"endHours":28.046492897725148,"quality":"inauspicious"},{"name":"Śubha","start":"04:03","end":"05:18","startHours":28.046492897725148,"endHours":29.29873370337708,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:18","end":"06:18","startHours":5.2987337033770805,"endHours":6.2987337033770805,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:18","end":"07:18","startHours":6.2987337033770805,"endHours":7.2987337033770805,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:18","end":"08:18","startHours":7.2987337033770805,"endHours":8.298733703377081,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:18","end":"09:18","startHours":8.298733703377081,"endHours":9.298733703377081,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:18","end":"10:18","startHours":9.298733703377081,"endHours":10.298733703377081,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:18","end":"11:18","startHours":10.298733703377081,"endHours":11.298733703377081,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:18","end":"12:18","startHours":11.298733703377081,"endHours":12.298733703377081,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:18","end":"13:18","startHours":12.298733703377081,"endHours":13.298733703377081,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:18","end":"14:18","startHours":13.298733703377081,"endHours":14.298733703377081,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:18","end":"15:18","startHours":14.298733703377081,"endHours":15.298733703377081,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:18","end":"16:18","startHours":15.298733703377081,"endHours":16.29873370337708,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:18","end":"17:18","startHours":16.29873370337708,"endHours":17.29873370337708,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:18","end":"18:18","startHours":17.29873370337708,"endHours":18.29873370337708,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:18","end":"19:18","startHours":18.29873370337708,"endHours":19.29873370337708,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:18","end":"20:18","startHours":19.29873370337708,"endHours":20.29873370337708,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:18","end":"21:18","startHours":20.29873370337708,"endHours":21.29873370337708,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:18","end":"22:18","startHours":21.29873370337708,"endHours":22.29873370337708,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:18","end":"23:18","startHours":22.29873370337708,"endHours":23.29873370337708,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:18","end":"00:18","startHours":23.29873370337708,"endHours":24.29873370337708,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:18","end":"01:18","startHours":24.29873370337708,"endHours":25.29873370337708,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:18","end":"02:18","startHours":25.29873370337708,"endHours":26.29873370337708,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:18","end":"03:18","startHours":26.29873370337708,"endHours":27.29873370337708,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:18","end":"04:18","startHours":27.29873370337708,"endHours":28.29873370337708,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:18","end":"05:18","startHours":28.29873370337708,"endHours":29.29873370337708,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.83606141578632,"eotMinutes":-5.361428846160681,"ayanamsa":25.5507}},"calendars":{"vikram_samvat":2178,"vikram_samvatsara":"Jaya","saka_samvat":2043,"saka_samvatsara":"Vṛṣa","bengali_samvat":1528,"malayalam_era":1297,"nanakshahi_year":652,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Caturdaśī · Vikram 2178 Jaya · Śaka 2043 Vṛṣa"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":[]},"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 July 13, 2121 CE · Badarīnāth · Vidhyamitra","description":"July 13, 2121 CE for Badarīnāth: Kṛṣṇa Caturdaśī, sūryodaya 05:18, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2121-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2121-07-13","sa":"https://sa.vidhyamitra.com/city/badrinath/2121-07-13","hi":"https://hi.vidhyamitra.com/city/badrinath/2121-07-13","x-default":"https://vidhyamitra.com/city/badrinath/2121-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T04:26:51.141Z","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":"2026-06-03T04:26:51.141Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T04:26:51.141Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}