{"id":"vidhyamitra:city-day:badrinath:-3173-08-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3173-08-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3173-08-03","date_display":"August 3, 3174 BCE","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3173,"month":8,"day":3,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":562333.770833,"kali_year":-71,"ahargana":-26131.7292,"sun":{"sidereal_longitude":162.1369,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":194.7242,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":32.5873,"elapsed_within_tithi_degrees":8.5873},"nakshatra":{"number":15,"name":"Svātī","pada":3,"moon_longitude":194.7242,"elapsed_within_degrees":8.0576},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":356.8611},"karana":{"half_tithi_index":5,"name":"Gara"},"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":-3173,"month":8,"day":3,"hour":6,"minute":30,"calendar":"julian"},"julian_day":562333.770833,"ahargana":-26131.7292,"kali_year":-71,"ayanamsa_lahiri":-48.4023,"grahas":{"sun":{"sidereal_longitude":162.1369,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"moon":{"sidereal_longitude":194.7242,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false,"latitude":4.2318},"mars":{"sidereal_longitude":12.0065,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":172.5205,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":351.1303,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":198.8767,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":207.3779,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":124.5848,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":304.5848,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3173,"month":8,"day":3,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":562333.770833,"kali_year":-71,"ahargana":-26131.7292,"sun":{"sidereal_longitude":162.1369,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":194.7242,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":32.5873,"elapsed_within_tithi_degrees":8.5873},"nakshatra":{"number":15,"name":"Svātī","pada":3,"moon_longitude":194.7242,"elapsed_within_degrees":8.0576},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":356.8611},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.232,"elongation":32.587},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.232,"opposition_distance":147.413}},"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":"05:20","sunsetLocal":"19:16","solarNoonLocal":"12:18","dayLengthHours":13.93566331053936,"dayLengthDisplay":"13 Hours 56 Mins 08 Secs","nightLengthDisplay":"10 Hours 03 Mins 52 Secs","moonriseLocal":"07:55","moonsetLocal":"21:02","rahuKala":{"name":"Rāhu Kāla","start":"14:02","end":"15:47","startHours":14.04035349642331,"endHours":15.782311410240728,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:20","end":"07:04","startHours":5.330563927336209,"endHours":7.0725218411536295,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:49","end":"10:33","startHours":8.81447975497105,"endHours":10.556437668788469,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:35","end":"09:03","startHours":8.582218699795394,"endHours":9.046740810146705,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:55","end":"06:17","startHours":5.91121656527535,"endHours":6.282834253556399,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:46","startHours":11.833873472254576,"endHours":12.7629176929572,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:28","end":"04:24","startHours":3.4724754859309614,"endHours":4.401519706633586,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:10","end":"05:20","startHours":4.1692586514579295,"endHours":5.330563927336209,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:33","startHours":14.621006134362448,"endHours":15.550050355065071,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:04","end":"19:28","startHours":19.06622723787557,"endHours":19.466227237875568,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:16","end":"19:51","startHours":19.26622723787557,"endHours":19.846879875814707,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:01","end":"20:46","startHours":19.01622723787557,"endHours":20.76622723787557,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:46","startHours":23.833873472254577,"endHours":24.7629176929572,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:20","end":"07:04","startHours":5.330563927336209,"endHours":7.0725218411536295,"quality":"auspicious"},{"name":"Roga","start":"07:04","end":"08:49","startHours":7.0725218411536295,"endHours":8.81447975497105,"quality":"inauspicious"},{"name":"Udveg","start":"08:49","end":"10:33","startHours":8.81447975497105,"endHours":10.556437668788469,"quality":"inauspicious"},{"name":"Chala","start":"10:33","end":"12:18","startHours":10.556437668788469,"endHours":12.298395582605888,"quality":"neutral"},{"name":"Labha","start":"12:18","end":"14:02","startHours":12.298395582605888,"endHours":14.04035349642331,"quality":"auspicious"},{"name":"Amṛta","start":"14:02","end":"15:47","startHours":14.04035349642331,"endHours":15.782311410240728,"quality":"auspicious"},{"name":"Kāla","start":"15:47","end":"17:31","startHours":15.782311410240728,"endHours":17.52426932405815,"quality":"inauspicious"},{"name":"Śubha","start":"17:31","end":"19:16","startHours":17.52426932405815,"endHours":19.26622723787557,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:16","end":"20:31","startHours":19.26622723787557,"endHours":20.52426932405815,"quality":"auspicious"},{"name":"Kāla","start":"20:31","end":"21:47","startHours":20.52426932405815,"endHours":21.78231141024073,"quality":"inauspicious"},{"name":"Śubha","start":"21:47","end":"23:02","startHours":21.78231141024073,"endHours":23.040353496423307,"quality":"auspicious"},{"name":"Roga","start":"23:02","end":"00:18","startHours":23.040353496423307,"endHours":24.298395582605888,"quality":"inauspicious"},{"name":"Udveg","start":"00:18","end":"01:33","startHours":24.298395582605888,"endHours":25.55643766878847,"quality":"inauspicious"},{"name":"Chala","start":"01:33","end":"02:49","startHours":25.55643766878847,"endHours":26.81447975497105,"quality":"neutral"},{"name":"Labha","start":"02:49","end":"04:04","startHours":26.81447975497105,"endHours":28.07252184115363,"quality":"auspicious"},{"name":"Amṛta","start":"04:04","end":"05:20","startHours":28.07252184115363,"endHours":29.330563927336208,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:20","end":"06:20","startHours":5.330563927336209,"endHours":6.330563927336209,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:20","end":"07:20","startHours":6.330563927336209,"endHours":7.330563927336209,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:20","end":"08:20","startHours":7.330563927336209,"endHours":8.33056392733621,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:20","end":"09:20","startHours":8.33056392733621,"endHours":9.33056392733621,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:20","end":"10:20","startHours":9.33056392733621,"endHours":10.33056392733621,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:20","end":"11:20","startHours":10.33056392733621,"endHours":11.33056392733621,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:20","end":"12:20","startHours":11.33056392733621,"endHours":12.33056392733621,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:20","end":"13:20","startHours":12.33056392733621,"endHours":13.33056392733621,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:20","end":"14:20","startHours":13.33056392733621,"endHours":14.33056392733621,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:20","end":"15:20","startHours":14.33056392733621,"endHours":15.33056392733621,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:20","end":"16:20","startHours":15.33056392733621,"endHours":16.330563927336208,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:20","end":"17:20","startHours":16.330563927336208,"endHours":17.330563927336208,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:20","end":"18:20","startHours":17.330563927336208,"endHours":18.330563927336208,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:20","end":"19:20","startHours":18.330563927336208,"endHours":19.330563927336208,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:20","end":"20:20","startHours":19.330563927336208,"endHours":20.330563927336208,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:20","end":"21:20","startHours":20.330563927336208,"endHours":21.330563927336208,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:20","end":"22:20","startHours":21.330563927336208,"endHours":22.330563927336208,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:20","end":"23:20","startHours":22.330563927336208,"endHours":23.330563927336208,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:20","end":"00:20","startHours":23.330563927336208,"endHours":24.330563927336208,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:20","end":"01:20","startHours":24.330563927336208,"endHours":25.330563927336208,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:20","end":"02:20","startHours":25.330563927336208,"endHours":26.330563927336208,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:20","end":"03:20","startHours":26.330563927336208,"endHours":27.330563927336208,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:20","end":"04:20","startHours":27.330563927336208,"endHours":28.330563927336208,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:20","end":"05:20","startHours":28.330563927336208,"endHours":29.330563927336208,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"South (Dakṣiṇa)","chandraVasa":"North","rahuVasa":"North-West","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.351721447550318,"eotMinutes":-5.878934956353266,"ayanamsa":-48.4023}},"calendars":{"vikram_samvat":-3116,"saka_samvat":-3251,"saka_samvatsara":"Prabhava","bengali_samvat":-3766,"malayalam_era":-3997,"nanakshahi_year":-4642,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Tṛtīyā · Vikram -3116 undefined · Śaka -3251 Prabhava"},"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":true,"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 3, 3174 BCE · Badarīnāth · Vidhyamitra","description":"August 3, 3174 BCE for Badarīnāth: Śukla Tṛtīyā, sūryodaya 05:20, sūryāsta 19:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3173-08-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3173-08-03","sa":"https://sa.vidhyamitra.com/city/badrinath/-3173-08-03","hi":"https://hi.vidhyamitra.com/city/badrinath/-3173-08-03","x-default":"https://vidhyamitra.com/city/badrinath/-3173-08-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T08:51:19.774Z","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":"2026-08-10T08:51:19.774Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T08:51:19.774Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}