{"id":"vidhyamitra:city-day:badrinath:2172-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2172-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2172-07-13","date_display":"July 13, 2172 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":2172,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514560.770833,"kali_year":5274,"ahargana":1926095.2708,"sun":{"sidereal_longitude":84.3104,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":353.4193,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":269.1089,"elapsed_within_tithi_degrees":5.1089},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":353.4193,"elapsed_within_degrees":6.7526},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":77.7296},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2172,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514560.770833,"ahargana":1926095.2708,"kali_year":5274,"ayanamsa_lahiri":26.2631,"grahas":{"sun":{"sidereal_longitude":85.12734499999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":356.477245,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false,"latitude":-0.9948},"mars":{"sidereal_longitude":178.65364499999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":61.65364499999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":190.88284499999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":37.47914500000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":333.08174499999996,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":6.2035,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":186.2035,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":2172,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514560.770833,"kali_year":5274,"ahargana":1926095.2708,"sun":{"sidereal_longitude":84.3104,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":353.4193,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":269.1089,"elapsed_within_tithi_degrees":5.1089},"nakshatra":{"number":27,"name":"Revatī","pada":3,"moon_longitude":353.4193,"elapsed_within_degrees":6.7526},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":77.7296},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.995,"elongation":90.891},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.995,"opposition_distance":89.109}},"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":"05:18","sunsetLocal":"19:17","solarNoonLocal":"12:17","dayLengthHours":13.972481737085012,"dayLengthDisplay":"13 Hours 58 Mins 21 Secs","nightLengthDisplay":"10 Hours 01 Mins 39 Secs","moonriseLocal":"23:59","moonsetLocal":"12:47","rahuKala":{"name":"Rāhu Kāla","start":"07:03","end":"08:48","startHours":7.050089829362466,"endHours":8.796650046498092,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:33","end":"12:17","startHours":10.543210263633718,"endHours":12.289770480769345,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:02","end":"15:47","startHours":14.036330697904972,"endHours":15.782890915040598,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:34","end":"09:02","startHours":8.563775350880007,"endHours":9.029524742116175,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:53","end":"06:15","startHours":5.885716351272048,"endHours":6.258315864260982,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:45","startHours":11.824021089533177,"endHours":12.755519872005513,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:26","end":"04:22","startHours":3.440532047282171,"endHours":4.372030829754505,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:08","end":"05:18","startHours":4.139156134136422,"endHours":5.303529612226839,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:33","startHours":14.61851743695018,"endHours":15.550016219422513,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.07601134931185,"endHours":19.47601134931185,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:51","startHours":19.27601134931185,"endHours":19.85819808835706,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.02601134931185,"endHours":20.77601134931185,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:45","startHours":23.82402108953318,"endHours":24.75551987200551,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:18","end":"07:03","startHours":5.303529612226839,"endHours":7.050089829362466,"quality":"auspicious"},{"name":"Kāla","start":"07:03","end":"08:48","startHours":7.050089829362466,"endHours":8.796650046498092,"quality":"inauspicious"},{"name":"Śubha","start":"08:48","end":"10:33","startHours":8.796650046498092,"endHours":10.543210263633718,"quality":"auspicious"},{"name":"Roga","start":"10:33","end":"12:17","startHours":10.543210263633718,"endHours":12.289770480769345,"quality":"inauspicious"},{"name":"Udveg","start":"12:17","end":"14:02","startHours":12.289770480769345,"endHours":14.036330697904972,"quality":"inauspicious"},{"name":"Chala","start":"14:02","end":"15:47","startHours":14.036330697904972,"endHours":15.782890915040598,"quality":"neutral"},{"name":"Labha","start":"15:47","end":"17:32","startHours":15.782890915040598,"endHours":17.529451132176224,"quality":"auspicious"},{"name":"Amṛta","start":"17:32","end":"19:17","startHours":17.529451132176224,"endHours":19.27601134931185,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:17","end":"20:32","startHours":19.27601134931185,"endHours":20.529451132176224,"quality":"neutral"},{"name":"Labha","start":"20:32","end":"21:47","startHours":20.529451132176224,"endHours":21.782890915040596,"quality":"auspicious"},{"name":"Amṛta","start":"21:47","end":"23:02","startHours":21.782890915040596,"endHours":23.036330697904972,"quality":"auspicious"},{"name":"Kāla","start":"23:02","end":"00:17","startHours":23.036330697904972,"endHours":24.289770480769345,"quality":"inauspicious"},{"name":"Śubha","start":"00:17","end":"01:33","startHours":24.289770480769345,"endHours":25.543210263633718,"quality":"auspicious"},{"name":"Roga","start":"01:33","end":"02:48","startHours":25.543210263633718,"endHours":26.796650046498094,"quality":"inauspicious"},{"name":"Udveg","start":"02:48","end":"04:03","startHours":26.796650046498094,"endHours":28.050089829362467,"quality":"inauspicious"},{"name":"Chala","start":"04:03","end":"05:18","startHours":28.050089829362467,"endHours":29.30352961222684,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:18","end":"06:18","startHours":5.303529612226839,"endHours":6.303529612226839,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:18","end":"07:18","startHours":6.303529612226839,"endHours":7.303529612226839,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:18","end":"08:18","startHours":7.303529612226839,"endHours":8.30352961222684,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:18","end":"09:18","startHours":8.30352961222684,"endHours":9.30352961222684,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:18","end":"10:18","startHours":9.30352961222684,"endHours":10.30352961222684,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:18","end":"11:18","startHours":10.30352961222684,"endHours":11.30352961222684,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:18","end":"12:18","startHours":11.30352961222684,"endHours":12.30352961222684,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:18","end":"13:18","startHours":12.30352961222684,"endHours":13.30352961222684,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:18","end":"14:18","startHours":13.30352961222684,"endHours":14.30352961222684,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:18","end":"15:18","startHours":14.30352961222684,"endHours":15.30352961222684,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:18","end":"16:18","startHours":15.30352961222684,"endHours":16.30352961222684,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:18","end":"17:18","startHours":16.30352961222684,"endHours":17.30352961222684,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:18","end":"18:18","startHours":17.30352961222684,"endHours":18.30352961222684,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:18","end":"19:18","startHours":18.30352961222684,"endHours":19.30352961222684,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:18","end":"20:18","startHours":19.30352961222684,"endHours":20.30352961222684,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:18","end":"21:18","startHours":20.30352961222684,"endHours":21.30352961222684,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:18","end":"22:18","startHours":21.30352961222684,"endHours":22.30352961222684,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:18","end":"23:18","startHours":22.30352961222684,"endHours":23.30352961222684,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:18","end":"00:18","startHours":23.30352961222684,"endHours":24.30352961222684,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:18","end":"01:18","startHours":24.30352961222684,"endHours":25.30352961222684,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:18","end":"02:18","startHours":25.30352961222684,"endHours":26.30352961222684,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:18","end":"03:18","startHours":26.30352961222684,"endHours":27.30352961222684,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:18","end":"04:18","startHours":27.30352961222684,"endHours":28.30352961222684,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:18","end":"05:18","startHours":28.30352961222684,"endHours":29.30352961222684,"planetary_lord":"Venus"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.73629867260394,"eotMinutes":-5.361428846160681,"ayanamsa":26.2631}},"calendars":{"vikram_samvat":2229,"vikram_samvatsara":"Pārthiva","saka_samvat":2094,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1579,"malayalam_era":1348,"nanakshahi_year":703,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Aṣṭamī · Vikram 2229 Pārthiva · Śaka 2094 Aṅgirasa"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","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 July 13, 2172 CE · Badarīnāth · Vidhyamitra","description":"July 13, 2172 CE for Badarīnāth: Kṛṣṇa Aṣṭamī, sūryodaya 05:18, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2172-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2172-07-13","sa":"https://sa.vidhyamitra.com/city/badrinath/2172-07-13","hi":"https://hi.vidhyamitra.com/city/badrinath/2172-07-13","x-default":"https://vidhyamitra.com/city/badrinath/2172-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T04:03:40.434Z","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":"2026-06-03T04:03:40.434Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T04:03:40.434Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}