{"id":"vidhyamitra:city-day:badrinath:-3200-07-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3200-07-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3200-07-24","date_display":"July 24, 3201 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":-3200,"month":7,"day":24,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":552462.770833,"kali_year":-98,"ahargana":-36002.7292,"sun":{"sidereal_longitude":153.3119,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":90.423,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":297.1111,"elapsed_within_tithi_degrees":9.1111},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":90.423,"elapsed_within_degrees":10.423},"yoga":{"number":19,"name":"Parigha","sum_longitude":243.7348},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":-3200,"month":7,"day":24,"hour":6,"minute":30,"calendar":"julian"},"julian_day":552462.770833,"ahargana":-36002.7292,"kali_year":-98,"ayanamsa_lahiri":-48.7798,"grahas":{"sun":{"sidereal_longitude":153.3119,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":90.423,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false,"latitude":1.3276},"mars":{"sidereal_longitude":184.2165,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":180.8202,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":232.1451,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":199.2848,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":231.1616,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":287.5978,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":107.5978,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1},"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":-3200,"month":7,"day":24,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":552462.770833,"kali_year":-98,"ahargana":-36002.7292,"sun":{"sidereal_longitude":153.3119,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":90.423,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":297.1111,"elapsed_within_tithi_degrees":9.1111},"nakshatra":{"number":7,"name":"Punarvasu","pada":4,"moon_longitude":90.423,"elapsed_within_degrees":10.423},"yoga":{"number":19,"name":"Parigha","sum_longitude":243.7348},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.328,"elongation":62.889},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.328,"opposition_distance":117.111}},"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":"05:16","sunsetLocal":"19:20","solarNoonLocal":"12:18","dayLengthHours":14.060414502846292,"dayLengthDisplay":"14 Hours 03 Mins 37 Secs","nightLengthDisplay":"9 Hours 56 Mins 23 Secs","moonriseLocal":"01:26","moonsetLocal":"14:47","rahuKala":{"name":"Rāhu Kāla","start":"12:18","end":"14:04","startHours":12.303082833185307,"endHours":14.060634646041095,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:02","end":"08:47","startHours":7.030427394617947,"endHours":8.787979207473732,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:33","end":"12:18","startHours":10.54553102032952,"endHours":12.303082833185307,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:33","end":"09:01","startHours":8.553638965759628,"endHours":9.022319449187838,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:52","end":"06:14","startHours":5.858726186047423,"endHours":6.233670572789991,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:46","startHours":11.834402349757097,"endHours":12.771763316613518,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:24","end":"04:20","startHours":3.3981536480493215,"endHours":4.33551461490574,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:06","end":"05:16","startHours":4.101174373191636,"endHours":5.27287558176216,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:35","startHours":14.646485250326354,"endHours":15.583846217182773,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:08","end":"19:32","startHours":19.133290084608454,"endHours":19.533290084608453,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:20","end":"19:55","startHours":19.333290084608453,"endHours":19.919140688893716,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:05","end":"20:50","startHours":19.083290084608453,"endHours":20.833290084608453,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:46","startHours":23.8344023497571,"endHours":24.771763316613516,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:16","end":"07:02","startHours":5.27287558176216,"endHours":7.030427394617947,"quality":"auspicious"},{"name":"Amṛta","start":"07:02","end":"08:47","startHours":7.030427394617947,"endHours":8.787979207473732,"quality":"auspicious"},{"name":"Kāla","start":"08:47","end":"10:33","startHours":8.787979207473732,"endHours":10.54553102032952,"quality":"inauspicious"},{"name":"Śubha","start":"10:33","end":"12:18","startHours":10.54553102032952,"endHours":12.303082833185307,"quality":"auspicious"},{"name":"Roga","start":"12:18","end":"14:04","startHours":12.303082833185307,"endHours":14.060634646041095,"quality":"inauspicious"},{"name":"Udveg","start":"14:04","end":"15:49","startHours":14.060634646041095,"endHours":15.818186458896879,"quality":"inauspicious"},{"name":"Chala","start":"15:49","end":"17:35","startHours":15.818186458896879,"endHours":17.575738271752666,"quality":"neutral"},{"name":"Labha","start":"17:35","end":"19:20","startHours":17.575738271752666,"endHours":19.333290084608453,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:20","end":"20:35","startHours":19.333290084608453,"endHours":20.575738271752666,"quality":"inauspicious"},{"name":"Chala","start":"20:35","end":"21:49","startHours":20.575738271752666,"endHours":21.818186458896882,"quality":"neutral"},{"name":"Labha","start":"21:49","end":"23:04","startHours":21.818186458896882,"endHours":23.060634646041095,"quality":"auspicious"},{"name":"Amṛta","start":"23:04","end":"00:18","startHours":23.060634646041095,"endHours":24.303082833185307,"quality":"auspicious"},{"name":"Kāla","start":"00:18","end":"01:33","startHours":24.303082833185307,"endHours":25.54553102032952,"quality":"inauspicious"},{"name":"Śubha","start":"01:33","end":"02:47","startHours":25.54553102032952,"endHours":26.787979207473732,"quality":"auspicious"},{"name":"Roga","start":"02:47","end":"04:02","startHours":26.787979207473732,"endHours":28.03042739461795,"quality":"inauspicious"},{"name":"Udveg","start":"04:02","end":"05:16","startHours":28.03042739461795,"endHours":29.27287558176216,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:16","end":"06:16","startHours":5.27287558176216,"endHours":6.27287558176216,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:16","end":"07:16","startHours":6.27287558176216,"endHours":7.27287558176216,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:16","end":"08:16","startHours":7.27287558176216,"endHours":8.272875581762161,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:16","end":"09:16","startHours":8.272875581762161,"endHours":9.272875581762161,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:16","end":"10:16","startHours":9.272875581762161,"endHours":10.272875581762161,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:16","end":"11:16","startHours":10.272875581762161,"endHours":11.272875581762161,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:16","end":"12:16","startHours":11.272875581762161,"endHours":12.272875581762161,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:16","end":"13:16","startHours":12.272875581762161,"endHours":13.272875581762161,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:16","end":"14:16","startHours":13.272875581762161,"endHours":14.272875581762161,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:16","end":"15:16","startHours":14.272875581762161,"endHours":15.272875581762161,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:16","end":"16:16","startHours":15.272875581762161,"endHours":16.27287558176216,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:16","end":"17:16","startHours":16.27287558176216,"endHours":17.27287558176216,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:16","end":"18:16","startHours":17.27287558176216,"endHours":18.27287558176216,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:16","end":"19:16","startHours":18.27287558176216,"endHours":19.27287558176216,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:16","end":"20:16","startHours":19.27287558176216,"endHours":20.27287558176216,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:16","end":"21:16","startHours":20.27287558176216,"endHours":21.27287558176216,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:16","end":"22:16","startHours":21.27287558176216,"endHours":22.27287558176216,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:16","end":"23:16","startHours":22.27287558176216,"endHours":23.27287558176216,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:16","end":"00:16","startHours":23.27287558176216,"endHours":24.27287558176216,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:16","end":"01:16","startHours":24.27287558176216,"endHours":25.27287558176216,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:16","end":"02:16","startHours":25.27287558176216,"endHours":26.27287558176216,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:16","end":"03:16","startHours":26.27287558176216,"endHours":27.27287558176216,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:16","end":"04:16","startHours":27.27287558176216,"endHours":28.27287558176216,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:16","end":"05:16","startHours":28.27287558176216,"endHours":29.27287558176216,"planetary_lord":"Sun"}],"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","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":22.644230159229448,"eotMinutes":-6.160169991118456,"ayanamsa":-48.7798}},"calendars":{"vikram_samvat":-3143,"saka_samvat":-3278,"bengali_samvat":-3793,"malayalam_era":-4024,"nanakshahi_year":-4669,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa 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 Kṛṣṇa Daśamī · Vikram -3143 undefined · Śaka -3278 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 July 24, 3201 BCE · Badarīnāth · Vidhyamitra","description":"July 24, 3201 BCE for Badarīnāth: Kṛṣṇa Daśamī, sūryodaya 05:16, sūryāsta 19:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3200-07-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3200-07-24","sa":"https://sa.vidhyamitra.com/city/badrinath/-3200-07-24","hi":"https://hi.vidhyamitra.com/city/badrinath/-3200-07-24","x-default":"https://vidhyamitra.com/city/badrinath/-3200-07-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T11:47:42.785Z","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":"2026-08-11T11:47:42.785Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T11:47:42.785Z","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"}}}