{"id":"vidhyamitra:city-day:badrinath:-0528-07-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-0528-07-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0528-07-20","date_display":"July 20, 529 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":-528,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1528406.770833,"kali_year":2574,"ahargana":939941.2708,"sun":{"sidereal_longitude":126.8015,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":282.4773,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.6758,"elapsed_within_tithi_degrees":11.6758},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":282.4773,"elapsed_within_degrees":2.4773},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":49.2787},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":-528,"month":7,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1528406.770833,"ahargana":939941.2708,"kali_year":2574,"ayanamsa_lahiri":-11.4536,"grahas":{"sun":{"sidereal_longitude":126.8015,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":282.4773,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false,"latitude":-3.1853},"mars":{"sidereal_longitude":98.3919,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":135.8436,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":353.0317,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":95.5159,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":118.5133,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":57.3882,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":237.3882,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":-528,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1528406.770833,"kali_year":2574,"ahargana":939941.2708,"sun":{"sidereal_longitude":126.8015,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":282.4773,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.6758,"elapsed_within_tithi_degrees":11.6758},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":282.4773,"elapsed_within_degrees":2.4773},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":49.2787},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.185,"elongation":155.676},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.185,"opposition_distance":24.324}},"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":"05:21","sunsetLocal":"19:15","solarNoonLocal":"12:18","dayLengthHours":13.908454066083886,"dayLengthDisplay":"13 Hours 54 Mins 30 Secs","nightLengthDisplay":"10 Hours 05 Mins 30 Secs","moonriseLocal":"17:37","moonsetLocal":"03:44","rahuKala":{"name":"Rāhu Kāla","start":"17:31","end":"19:15","startHours":17.51598729503408,"endHours":19.254544053294566,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:18","end":"14:02","startHours":12.300317020252624,"endHours":14.038873778513109,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:47","end":"17:31","startHours":15.777430536773595,"endHours":17.51598729503408,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:35","end":"09:03","startHours":8.591395935963586,"endHours":9.055011071499717,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:56","end":"06:18","startHours":5.925608906630842,"endHours":6.296501015059746,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:46","startHours":11.836701884716495,"endHours":12.763932155788753,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:29","end":"04:25","startHours":3.4916294450661622,"endHours":4.418859716138421,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:11","end":"05:21","startHours":4.187052148370356,"endHours":5.34608998721068,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:33","startHours":14.618392697933272,"endHours":15.545622969005532,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:03","end":"19:27","startHours":19.054544053294567,"endHours":19.454544053294565,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:15","end":"19:50","startHours":19.254544053294566,"endHours":19.83406297271473,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:00","end":"20:45","startHours":19.004544053294566,"endHours":20.754544053294566,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:46","startHours":23.836701884716494,"endHours":24.763932155788755,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:21","end":"07:05","startHours":5.34608998721068,"endHours":7.084646745471166,"quality":"inauspicious"},{"name":"Chala","start":"07:05","end":"08:49","startHours":7.084646745471166,"endHours":8.823203503731651,"quality":"neutral"},{"name":"Labha","start":"08:49","end":"10:34","startHours":8.823203503731651,"endHours":10.561760261992138,"quality":"auspicious"},{"name":"Amṛta","start":"10:34","end":"12:18","startHours":10.561760261992138,"endHours":12.300317020252624,"quality":"auspicious"},{"name":"Kāla","start":"12:18","end":"14:02","startHours":12.300317020252624,"endHours":14.038873778513109,"quality":"inauspicious"},{"name":"Śubha","start":"14:02","end":"15:47","startHours":14.038873778513109,"endHours":15.777430536773595,"quality":"auspicious"},{"name":"Roga","start":"15:47","end":"17:31","startHours":15.777430536773595,"endHours":17.51598729503408,"quality":"inauspicious"},{"name":"Udveg","start":"17:31","end":"19:15","startHours":17.51598729503408,"endHours":19.254544053294566,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:15","end":"20:31","startHours":19.254544053294566,"endHours":20.51598729503408,"quality":"auspicious"},{"name":"Roga","start":"20:31","end":"21:47","startHours":20.51598729503408,"endHours":21.777430536773593,"quality":"inauspicious"},{"name":"Udveg","start":"21:47","end":"23:02","startHours":21.777430536773593,"endHours":23.038873778513107,"quality":"inauspicious"},{"name":"Chala","start":"23:02","end":"00:18","startHours":23.038873778513107,"endHours":24.300317020252624,"quality":"neutral"},{"name":"Labha","start":"00:18","end":"01:34","startHours":24.300317020252624,"endHours":25.561760261992138,"quality":"auspicious"},{"name":"Amṛta","start":"01:34","end":"02:49","startHours":25.561760261992138,"endHours":26.82320350373165,"quality":"auspicious"},{"name":"Kāla","start":"02:49","end":"04:05","startHours":26.82320350373165,"endHours":28.08464674547117,"quality":"inauspicious"},{"name":"Śubha","start":"04:05","end":"05:21","startHours":28.08464674547117,"endHours":29.346089987210682,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:21","end":"06:21","startHours":5.34608998721068,"endHours":6.34608998721068,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:21","end":"07:21","startHours":6.34608998721068,"endHours":7.34608998721068,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:21","end":"08:21","startHours":7.34608998721068,"endHours":8.34608998721068,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:21","end":"09:21","startHours":8.34608998721068,"endHours":9.34608998721068,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:21","end":"10:21","startHours":9.34608998721068,"endHours":10.34608998721068,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:21","end":"11:21","startHours":10.34608998721068,"endHours":11.34608998721068,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:21","end":"12:21","startHours":11.34608998721068,"endHours":12.34608998721068,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:21","end":"13:21","startHours":12.34608998721068,"endHours":13.34608998721068,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:21","end":"14:21","startHours":13.34608998721068,"endHours":14.34608998721068,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:21","end":"15:21","startHours":14.34608998721068,"endHours":15.34608998721068,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:21","end":"16:21","startHours":15.34608998721068,"endHours":16.346089987210682,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:21","end":"17:21","startHours":16.346089987210682,"endHours":17.346089987210682,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:21","end":"18:21","startHours":17.346089987210682,"endHours":18.346089987210682,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:21","end":"19:21","startHours":18.346089987210682,"endHours":19.346089987210682,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:21","end":"20:21","startHours":19.346089987210682,"endHours":20.346089987210682,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:21","end":"21:21","startHours":20.346089987210682,"endHours":21.346089987210682,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:21","end":"22:21","startHours":21.346089987210682,"endHours":22.346089987210682,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:21","end":"23:21","startHours":22.346089987210682,"endHours":23.346089987210682,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:21","end":"00:21","startHours":23.346089987210682,"endHours":24.346089987210682,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:21","end":"01:21","startHours":24.346089987210682,"endHours":25.346089987210682,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:21","end":"02:21","startHours":25.346089987210682,"endHours":26.346089987210682,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:21","end":"03:21","startHours":26.346089987210682,"endHours":27.346089987210682,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:21","end":"04:21","startHours":27.346089987210682,"endHours":28.346089987210682,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:21","end":"05:21","startHours":28.346089987210682,"endHours":29.346089987210682,"planetary_lord":"Jupiter"}],"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","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Mausala","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":21.065854633083944,"eotMinutes":-5.99422121515736,"ayanamsa":-11.4536}},"calendars":{"vikram_samvat":-471,"saka_samvat":-606,"bengali_samvat":-1121,"malayalam_era":-1352,"nanakshahi_year":-1997,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Trayodaśī · Vikram -471 undefined · Śaka -606 undefined"},"festivals":[{"id":"onam","name":"Onam (Vāmana / King Bali)","name_sanskrit":"ओणम् (वामन-बलि स्मरण)","tradition":"Regional","associated_deity":"Vāmana + King Bali","significance":"Kerala festival; King Bali's annual return to Kerala. Aligned with Thiru-Onam (Śravaṇa nakshatra in Bhādrapada).","vrata":false,"detection":{"nakshatra_name":"Śravaṇa","lunar_month":"Bhādrapada"},"precedence":2},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":"Dedicated festival walk for Onam (Vāmana / King Bali) · Pradoṣa Vrata is not live yet; Ravivāra (Sunday) — 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 20, 529 BCE · Badarīnāth · Vidhyamitra","description":"July 20, 529 BCE for Badarīnāth: Śukla Trayodaśī, sūryodaya 05:21, sūryāsta 19:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-0528-07-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-0528-07-20","sa":"https://sa.vidhyamitra.com/city/badrinath/-0528-07-20","hi":"https://hi.vidhyamitra.com/city/badrinath/-0528-07-20","x-default":"https://vidhyamitra.com/city/badrinath/-0528-07-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T12:35:46.502Z","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":"2026-08-10T12:35:46.502Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T12:35:46.502Z","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"}}}