{"id":"vidhyamitra:city-day:badrinath:2113-07-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2113-07-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2113-07-20","date_display":"July 20, 2113 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":2113,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493017.770833,"kali_year":5215,"ahargana":1904552.2708,"sun":{"sidereal_longitude":91.1928,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":172.8537,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":81.6608,"elapsed_within_tithi_degrees":9.6608},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":172.8537,"elapsed_within_degrees":12.8537},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.0465},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2113,"month":7,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493017.770833,"ahargana":1904552.2708,"kali_year":5215,"ayanamsa_lahiri":25.4392,"grahas":{"sun":{"sidereal_longitude":91.91704600000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":172.12474599999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":4.3423},"mars":{"sidereal_longitude":101.029046,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":74.30634599999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":201.105146,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":54.837545999999975,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":332.439346,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":67.6553,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":247.6553,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2113,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493017.770833,"kali_year":5215,"ahargana":1904552.2708,"sun":{"sidereal_longitude":91.1928,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":172.8537,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":81.6608,"elapsed_within_tithi_degrees":9.6608},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":172.8537,"elapsed_within_degrees":12.8537},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.0465},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.342,"elongation":81.661},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.342,"opposition_distance":98.339}},"eclipse_window_40days":[{"offset_days":-7,"type":"solar","occurs":true,"moon_latitude":1.347,"elongation":0.9}]},"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":"05:22","sunsetLocal":"19:14","solarNoonLocal":"12:18","dayLengthHours":13.872540495800074,"dayLengthDisplay":"13 Hours 52 Mins 21 Secs","nightLengthDisplay":"10 Hours 07 Mins 39 Secs","moonriseLocal":"11:53","moonsetLocal":"23:25","rahuKala":{"name":"Rāhu Kāla","start":"14:02","end":"15:46","startHours":14.034384582227634,"endHours":15.76845214420264,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:22","end":"07:06","startHours":5.364046772352586,"endHours":7.098114334327596,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:50","end":"10:34","startHours":8.832181896302604,"endHours":10.566249458277614,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:36","end":"09:04","startHours":8.60097288803927,"endHours":9.063390904565939,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:57","end":"06:19","startHours":5.942069293010923,"endHours":6.312003706232258,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:46","startHours":11.837899003725955,"endHours":12.762735036779294,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:31","end":"04:26","startHours":3.51437470624591,"endHours":4.439210739299249,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:12","end":"05:22","startHours":4.208001731035914,"endHours":5.364046772352586,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:32","startHours":14.612407102885971,"endHours":15.53724313593931,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:02","end":"19:26","startHours":19.036587268152662,"endHours":19.43658726815266,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:14","end":"19:49","startHours":19.23658726815266,"endHours":19.814609788810998,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:59","end":"20:44","startHours":18.98658726815266,"endHours":20.73658726815266,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:46","startHours":23.837899003725955,"endHours":24.762735036779294,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:22","end":"07:06","startHours":5.364046772352586,"endHours":7.098114334327596,"quality":"auspicious"},{"name":"Roga","start":"07:06","end":"08:50","startHours":7.098114334327596,"endHours":8.832181896302604,"quality":"inauspicious"},{"name":"Udveg","start":"08:50","end":"10:34","startHours":8.832181896302604,"endHours":10.566249458277614,"quality":"inauspicious"},{"name":"Chala","start":"10:34","end":"12:18","startHours":10.566249458277614,"endHours":12.300317020252624,"quality":"neutral"},{"name":"Labha","start":"12:18","end":"14:02","startHours":12.300317020252624,"endHours":14.034384582227634,"quality":"auspicious"},{"name":"Amṛta","start":"14:02","end":"15:46","startHours":14.034384582227634,"endHours":15.76845214420264,"quality":"auspicious"},{"name":"Kāla","start":"15:46","end":"17:30","startHours":15.76845214420264,"endHours":17.50251970617765,"quality":"inauspicious"},{"name":"Śubha","start":"17:30","end":"19:14","startHours":17.50251970617765,"endHours":19.23658726815266,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:14","end":"20:30","startHours":19.23658726815266,"endHours":20.50251970617765,"quality":"auspicious"},{"name":"Kāla","start":"20:30","end":"21:46","startHours":20.50251970617765,"endHours":21.76845214420264,"quality":"inauspicious"},{"name":"Śubha","start":"21:46","end":"23:02","startHours":21.76845214420264,"endHours":23.034384582227634,"quality":"auspicious"},{"name":"Roga","start":"23:02","end":"00:18","startHours":23.034384582227634,"endHours":24.300317020252624,"quality":"inauspicious"},{"name":"Udveg","start":"00:18","end":"01:34","startHours":24.300317020252624,"endHours":25.566249458277614,"quality":"inauspicious"},{"name":"Chala","start":"01:34","end":"02:50","startHours":25.566249458277614,"endHours":26.832181896302608,"quality":"neutral"},{"name":"Labha","start":"02:50","end":"04:06","startHours":26.832181896302608,"endHours":28.098114334327597,"quality":"auspicious"},{"name":"Amṛta","start":"04:06","end":"05:22","startHours":28.098114334327597,"endHours":29.364046772352587,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:22","end":"06:22","startHours":5.364046772352586,"endHours":6.364046772352586,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:22","end":"07:22","startHours":6.364046772352586,"endHours":7.364046772352586,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:22","end":"08:22","startHours":7.364046772352586,"endHours":8.364046772352587,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:22","end":"09:22","startHours":8.364046772352587,"endHours":9.364046772352587,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:22","end":"10:22","startHours":9.364046772352587,"endHours":10.364046772352587,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:22","end":"11:22","startHours":10.364046772352587,"endHours":11.364046772352587,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:22","end":"12:22","startHours":11.364046772352587,"endHours":12.364046772352587,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:22","end":"13:22","startHours":12.364046772352587,"endHours":13.364046772352587,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:22","end":"14:22","startHours":13.364046772352587,"endHours":14.364046772352587,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:22","end":"15:22","startHours":14.364046772352587,"endHours":15.364046772352587,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:22","end":"16:22","startHours":15.364046772352587,"endHours":16.364046772352587,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:22","end":"17:22","startHours":16.364046772352587,"endHours":17.364046772352587,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:22","end":"18:22","startHours":17.364046772352587,"endHours":18.364046772352587,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:22","end":"19:22","startHours":18.364046772352587,"endHours":19.364046772352587,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:22","end":"20:22","startHours":19.364046772352587,"endHours":20.364046772352587,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:22","end":"21:22","startHours":20.364046772352587,"endHours":21.364046772352587,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:22","end":"22:22","startHours":21.364046772352587,"endHours":22.364046772352587,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:22","end":"23:22","startHours":22.364046772352587,"endHours":23.364046772352587,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:22","end":"00:22","startHours":23.364046772352587,"endHours":24.364046772352587,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:22","end":"01:22","startHours":24.364046772352587,"endHours":25.364046772352587,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:22","end":"02:22","startHours":25.364046772352587,"endHours":26.364046772352587,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:22","end":"03:22","startHours":26.364046772352587,"endHours":27.364046772352587,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:22","end":"04:22","startHours":27.364046772352587,"endHours":28.364046772352587,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:22","end":"05:22","startHours":28.364046772352587,"endHours":29.364046772352587,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.68639258018882,"eotMinutes":-5.99422121515736,"ayanamsa":25.4392}},"calendars":{"vikram_samvat":2170,"vikram_samvatsara":"Vyaya","saka_samvat":2035,"saka_samvatsara":"Śrīmukha","bengali_samvat":1520,"malayalam_era":1289,"nanakshahi_year":644,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Saptamī · Vikram 2170 Vyaya · Śaka 2035 Śrīmukha"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 20, 2113 CE · Badarīnāth · Vidhyamitra","description":"July 20, 2113 CE for Badarīnāth: Śukla Saptamī, sūryodaya 05:22, sūryāsta 19:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2113-07-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2113-07-20","sa":"https://sa.vidhyamitra.com/city/badrinath/2113-07-20","hi":"https://hi.vidhyamitra.com/city/badrinath/2113-07-20","x-default":"https://vidhyamitra.com/city/badrinath/2113-07-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T16:59:37.577Z","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":"2026-06-02T16:59:37.577Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T16:59:37.577Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}