{"id":"vidhyamitra:city-day:badrinath:-0504-07-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-0504-07-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0504-07-20","date_display":"July 20, 505 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":-504,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1537172.770833,"kali_year":2598,"ahargana":948707.2708,"sun":{"sidereal_longitude":126.5997,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":224.002,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":97.4023,"elapsed_within_tithi_degrees":1.4023},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":224.002,"elapsed_within_degrees":10.6687},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":350.6018},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":-504,"month":7,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1537172.770833,"ahargana":948707.2708,"kali_year":2598,"ayanamsa_lahiri":-11.1183,"grahas":{"sun":{"sidereal_longitude":126.5997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":224.002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false,"latitude":-4.4992},"mars":{"sidereal_longitude":20.0317,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":140.5719,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":1.9729,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":96.9691,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":46.843,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":312.9233,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":132.9233,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":-504,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1537172.770833,"kali_year":2598,"ahargana":948707.2708,"sun":{"sidereal_longitude":126.5997,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":224.002,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":97.4023,"elapsed_within_tithi_degrees":1.4023},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":224.002,"elapsed_within_degrees":10.6687},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":350.6018},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.499,"elongation":97.402},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.499,"opposition_distance":82.598}},"eclipse_window_40days":[{"offset_days":-8,"type":"solar","occurs":true,"moon_latitude":1.215,"elongation":1.272}]},"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":13.90613614507427,"dayLengthDisplay":"13 Hours 54 Mins 22 Secs","nightLengthDisplay":"10 Hours 05 Mins 38 Secs","moonriseLocal":"13:15","moonsetLocal":"00:20","rahuKala":{"name":"Rāhu Kāla","start":"15:47","end":"17:31","startHours":15.776851056521192,"endHours":17.515118074655476,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:49","end":"10:34","startHours":8.823782983984056,"endHours":10.56205000211834,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:18","end":"14:02","startHours":12.300317020252624,"endHours":14.038584038386908,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:36","end":"09:03","startHours":8.59201404823282,"endHours":9.055551919735295,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:56","end":"06:18","startHours":5.926671287093584,"endHours":6.297501584295565,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:46","startHours":11.836779148750148,"endHours":12.7638548917551,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:30","end":"04:25","startHours":3.4930974617055868,"endHours":4.420173204710538,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:11","end":"05:21","startHours":4.1884042689593,"endHours":5.34724894771549,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:33","startHours":14.618006377765003,"endHours":15.545082120769955,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:03","end":"19:27","startHours":19.05338509278976,"endHours":19.45338509278976,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:15","end":"19:50","startHours":19.25338509278976,"endHours":19.832807432167854,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:00","end":"20:45","startHours":19.00338509278976,"endHours":20.75338509278976,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:46","startHours":23.83677914875015,"endHours":24.7638548917551,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:21","end":"07:05","startHours":5.34724894771549,"endHours":7.0855159658497735,"quality":"inauspicious"},{"name":"Udveg","start":"07:05","end":"08:49","startHours":7.0855159658497735,"endHours":8.823782983984056,"quality":"inauspicious"},{"name":"Chala","start":"08:49","end":"10:34","startHours":8.823782983984056,"endHours":10.56205000211834,"quality":"neutral"},{"name":"Labha","start":"10:34","end":"12:18","startHours":10.56205000211834,"endHours":12.300317020252624,"quality":"auspicious"},{"name":"Amṛta","start":"12:18","end":"14:02","startHours":12.300317020252624,"endHours":14.038584038386908,"quality":"auspicious"},{"name":"Kāla","start":"14:02","end":"15:47","startHours":14.038584038386908,"endHours":15.776851056521192,"quality":"inauspicious"},{"name":"Śubha","start":"15:47","end":"17:31","startHours":15.776851056521192,"endHours":17.515118074655476,"quality":"auspicious"},{"name":"Roga","start":"17:31","end":"19:15","startHours":17.515118074655476,"endHours":19.25338509278976,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:15","end":"20:31","startHours":19.25338509278976,"endHours":20.515118074655476,"quality":"inauspicious"},{"name":"Śubha","start":"20:31","end":"21:47","startHours":20.515118074655476,"endHours":21.776851056521192,"quality":"auspicious"},{"name":"Roga","start":"21:47","end":"23:02","startHours":21.776851056521192,"endHours":23.038584038386908,"quality":"inauspicious"},{"name":"Udveg","start":"23:02","end":"00:18","startHours":23.038584038386908,"endHours":24.300317020252624,"quality":"inauspicious"},{"name":"Chala","start":"00:18","end":"01:34","startHours":24.300317020252624,"endHours":25.56205000211834,"quality":"neutral"},{"name":"Labha","start":"01:34","end":"02:49","startHours":25.56205000211834,"endHours":26.823782983984056,"quality":"auspicious"},{"name":"Amṛta","start":"02:49","end":"04:05","startHours":26.823782983984056,"endHours":28.085515965849773,"quality":"auspicious"},{"name":"Kāla","start":"04:05","end":"05:21","startHours":28.085515965849773,"endHours":29.34724894771549,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:21","end":"06:21","startHours":5.34724894771549,"endHours":6.34724894771549,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:21","end":"07:21","startHours":6.34724894771549,"endHours":7.34724894771549,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:21","end":"08:21","startHours":7.34724894771549,"endHours":8.347248947715489,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:21","end":"09:21","startHours":8.347248947715489,"endHours":9.347248947715489,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:21","end":"10:21","startHours":9.347248947715489,"endHours":10.347248947715489,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:21","end":"11:21","startHours":10.347248947715489,"endHours":11.347248947715489,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:21","end":"12:21","startHours":11.347248947715489,"endHours":12.347248947715489,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:21","end":"13:21","startHours":12.347248947715489,"endHours":13.347248947715489,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:21","end":"14:21","startHours":13.347248947715489,"endHours":14.347248947715489,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:21","end":"15:21","startHours":14.347248947715489,"endHours":15.347248947715489,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:21","end":"16:21","startHours":15.347248947715489,"endHours":16.34724894771549,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:21","end":"17:21","startHours":16.34724894771549,"endHours":17.34724894771549,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:21","end":"18:21","startHours":17.34724894771549,"endHours":18.34724894771549,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:21","end":"19:21","startHours":18.34724894771549,"endHours":19.34724894771549,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:21","end":"20:21","startHours":19.34724894771549,"endHours":20.34724894771549,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:21","end":"21:21","startHours":20.34724894771549,"endHours":21.34724894771549,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:21","end":"22:21","startHours":21.34724894771549,"endHours":22.34724894771549,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:21","end":"23:21","startHours":22.34724894771549,"endHours":23.34724894771549,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:21","end":"00:21","startHours":23.34724894771549,"endHours":24.34724894771549,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:21","end":"01:21","startHours":24.34724894771549,"endHours":25.34724894771549,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:21","end":"02:21","startHours":25.34724894771549,"endHours":26.34724894771549,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:21","end":"03:21","startHours":26.34724894771549,"endHours":27.34724894771549,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:21","end":"04:21","startHours":27.34724894771549,"endHours":28.34724894771549,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:21","end":"05:21","startHours":28.34724894771549,"endHours":29.34724894771549,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"North","anandadiYoga":{"name":"Rākṣasa","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":21.04143707763868,"eotMinutes":-5.99422121515736,"ayanamsa":-11.1183}},"calendars":{"vikram_samvat":-447,"saka_samvat":-582,"bengali_samvat":-1097,"malayalam_era":-1328,"nanakshahi_year":-1973,"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 Navamī · Vikram -447 undefined · Śaka -582 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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, 505 BCE · Badarīnāth · Vidhyamitra","description":"July 20, 505 BCE for Badarīnāth: Śukla Navamī, sūryodaya 05:21, sūryāsta 19:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-0504-07-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-0504-07-20","sa":"https://sa.vidhyamitra.com/city/badrinath/-0504-07-20","hi":"https://hi.vidhyamitra.com/city/badrinath/-0504-07-20","x-default":"https://vidhyamitra.com/city/badrinath/-0504-07-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-07T23:27:52.687Z","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":"2026-09-07T23:27:52.687Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-07T23:27:52.687Z","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":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}