{"id":"vidhyamitra:city-day:badrinath:-0504-04-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-0504-04-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0504-04-20","date_display":"April 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":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1537081.770833,"kali_year":2598,"ahargana":948616.2708,"sun":{"sidereal_longitude":40.1365,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":102.7554,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":62.6189,"elapsed_within_tithi_degrees":2.6189},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":102.7554,"elapsed_within_degrees":9.4221},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":142.8919},"karana":{"half_tithi_index":10,"name":"Kaulava"},"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":4,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1537081.770833,"ahargana":948616.2708,"kali_year":2598,"ayanamsa_lahiri":-11.1218,"grahas":{"sun":{"sidereal_longitude":40.1365,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":102.7554,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false,"latitude":2.5786},"mars":{"sidereal_longitude":323.9271,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":55.1775,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":353.9723,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":352.1485,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":36.9402,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":317.7449,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":137.7449,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"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":4,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1537081.770833,"kali_year":2598,"ahargana":948616.2708,"sun":{"sidereal_longitude":40.1365,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":102.7554,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":62.6189,"elapsed_within_tithi_degrees":2.6189},"nakshatra":{"number":8,"name":"Puṣya","pada":3,"moon_longitude":102.7554,"elapsed_within_degrees":9.4221},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":142.8919},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.579,"elongation":62.619},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.579,"opposition_distance":117.381}},"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":"05:40","sunsetLocal":"18:42","solarNoonLocal":"12:11","dayLengthHours":13.028135718559668,"dayLengthDisplay":"13 Hours 01 Mins 41 Secs","nightLengthDisplay":"10 Hours 58 Mins 19 Secs","moonriseLocal":"09:19","moonsetLocal":"23:24","rahuKala":{"name":"Rāhu Kāla","start":"15:26","end":"17:04","startHours":15.441317871879235,"endHours":17.069834836699194,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:56","end":"10:33","startHours":8.927250012599401,"endHours":10.55576697741936,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:11","end":"13:49","startHours":12.184283942239318,"endHours":13.812800907059277,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:43","end":"09:09","startHours":8.710114417290072,"endHours":9.144385607908728,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:13","end":"06:34","startHours":6.213055071232803,"endHours":6.560472023727728,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:45","end":"12:37","startHours":11.750012751620662,"endHours":12.618555132857974,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:56","end":"04:48","startHours":3.9331313204848612,"endHours":4.801673701722173,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:35","end":"05:40","startHours":4.584538106412845,"endHours":5.670216082959484,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:13","startHours":14.355639895332597,"endHours":15.224182276569909,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:30","end":"18:54","startHours":18.498351801519153,"endHours":18.89835180151915,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:42","end":"19:14","startHours":18.698351801519152,"endHours":19.241190789792473,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:27","end":"20:12","startHours":18.448351801519152,"endHours":20.198351801519152,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:45","end":"00:37","startHours":23.750012751620662,"endHours":24.618555132857974,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:40","end":"07:18","startHours":5.670216082959484,"endHours":7.298733047779442,"quality":"inauspicious"},{"name":"Udveg","start":"07:18","end":"08:56","startHours":7.298733047779442,"endHours":8.927250012599401,"quality":"inauspicious"},{"name":"Chala","start":"08:56","end":"10:33","startHours":8.927250012599401,"endHours":10.55576697741936,"quality":"neutral"},{"name":"Labha","start":"10:33","end":"12:11","startHours":10.55576697741936,"endHours":12.184283942239318,"quality":"auspicious"},{"name":"Amṛta","start":"12:11","end":"13:49","startHours":12.184283942239318,"endHours":13.812800907059277,"quality":"auspicious"},{"name":"Kāla","start":"13:49","end":"15:26","startHours":13.812800907059277,"endHours":15.441317871879235,"quality":"inauspicious"},{"name":"Śubha","start":"15:26","end":"17:04","startHours":15.441317871879235,"endHours":17.069834836699194,"quality":"auspicious"},{"name":"Roga","start":"17:04","end":"18:42","startHours":17.069834836699194,"endHours":18.698351801519152,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:42","end":"20:04","startHours":18.698351801519152,"endHours":20.069834836699194,"quality":"inauspicious"},{"name":"Śubha","start":"20:04","end":"21:26","startHours":20.069834836699194,"endHours":21.441317871879235,"quality":"auspicious"},{"name":"Roga","start":"21:26","end":"22:49","startHours":21.441317871879235,"endHours":22.812800907059277,"quality":"inauspicious"},{"name":"Udveg","start":"22:49","end":"00:11","startHours":22.812800907059277,"endHours":24.18428394223932,"quality":"inauspicious"},{"name":"Chala","start":"00:11","end":"01:33","startHours":24.18428394223932,"endHours":25.55576697741936,"quality":"neutral"},{"name":"Labha","start":"01:33","end":"02:56","startHours":25.55576697741936,"endHours":26.9272500125994,"quality":"auspicious"},{"name":"Amṛta","start":"02:56","end":"04:18","startHours":26.9272500125994,"endHours":28.298733047779443,"quality":"auspicious"},{"name":"Kāla","start":"04:18","end":"05:40","startHours":28.298733047779443,"endHours":29.670216082959485,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:40","end":"06:40","startHours":5.670216082959484,"endHours":6.670216082959484,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:40","end":"07:40","startHours":6.670216082959484,"endHours":7.670216082959484,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:40","end":"08:40","startHours":7.670216082959484,"endHours":8.670216082959485,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:40","end":"09:40","startHours":8.670216082959485,"endHours":9.670216082959485,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:40","end":"10:40","startHours":9.670216082959485,"endHours":10.670216082959485,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:40","end":"11:40","startHours":10.670216082959485,"endHours":11.670216082959485,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:40","end":"12:40","startHours":11.670216082959485,"endHours":12.670216082959485,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:40","end":"13:40","startHours":12.670216082959485,"endHours":13.670216082959485,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:40","end":"14:40","startHours":13.670216082959485,"endHours":14.670216082959485,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:40","end":"15:40","startHours":14.670216082959485,"endHours":15.670216082959485,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:40","end":"16:40","startHours":15.670216082959485,"endHours":16.670216082959485,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:40","end":"17:40","startHours":16.670216082959485,"endHours":17.670216082959485,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:40","end":"18:40","startHours":17.670216082959485,"endHours":18.670216082959485,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:40","end":"19:40","startHours":18.670216082959485,"endHours":19.670216082959485,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:40","end":"20:40","startHours":19.670216082959485,"endHours":20.670216082959485,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:40","end":"21:40","startHours":20.670216082959485,"endHours":21.670216082959485,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:40","end":"22:40","startHours":21.670216082959485,"endHours":22.670216082959485,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:40","end":"23:40","startHours":22.670216082959485,"endHours":23.670216082959485,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:40","end":"00:40","startHours":23.670216082959485,"endHours":24.670216082959485,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:40","end":"01:40","startHours":24.670216082959485,"endHours":25.670216082959485,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:40","end":"02:40","startHours":25.670216082959485,"endHours":26.670216082959485,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:40","end":"03:40","startHours":26.670216082959485,"endHours":27.670216082959485,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:40","end":"04:40","startHours":27.670216082959485,"endHours":28.670216082959485,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:40","end":"05:40","startHours":28.670216082959485,"endHours":29.670216082959485,"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","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":11.122877335831646,"eotMinutes":0.9677634656409275,"ayanamsa":-11.1218}},"calendars":{"vikram_samvat":-447,"saka_samvat":-582,"bengali_samvat":-1097,"malayalam_era":-1328,"nanakshahi_year":-1973,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Ṣaṣṭhī · 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 April 20, 505 BCE · Badarīnāth · Vidhyamitra","description":"April 20, 505 BCE for Badarīnāth: Śukla Ṣaṣṭhī, sūryodaya 05:40, sūryāsta 18:42.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-0504-04-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-0504-04-20","sa":"https://sa.vidhyamitra.com/city/badrinath/-0504-04-20","hi":"https://hi.vidhyamitra.com/city/badrinath/-0504-04-20","x-default":"https://vidhyamitra.com/city/badrinath/-0504-04-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T10:11:12.263Z","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":"2026-08-10T10:11:12.263Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T10:11:12.263Z","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"}}}