{"id":"vidhyamitra:city-day:badrinath:-3165-05-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-3165-05-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3165-05-04","date_display":"May 4, 3166 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":-3165,"month":5,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565164.770833,"kali_year":-63,"ahargana":-23300.7292,"sun":{"sidereal_longitude":74.8292,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":56.2906,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":341.4614,"elapsed_within_tithi_degrees":5.4614},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":56.2906,"elapsed_within_degrees":2.9573},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":131.1199},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"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":-3165,"month":5,"day":4,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565164.770833,"ahargana":-23300.7292,"kali_year":-63,"ayanamsa_lahiri":-48.294,"grahas":{"sun":{"sidereal_longitude":74.8292,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":56.2906,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false,"latitude":4.4528},"mars":{"sidereal_longitude":54.7752,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":68.9803,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":211.2784,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":88.902,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":296.7295,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":334.5848,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":154.5848,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"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":-3165,"month":5,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565164.770833,"kali_year":-63,"ahargana":-23300.7292,"sun":{"sidereal_longitude":74.8292,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":56.2906,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":341.4614,"elapsed_within_tithi_degrees":5.4614},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":56.2906,"elapsed_within_degrees":2.9573},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":131.1199},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.453,"elongation":18.539},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.453,"opposition_distance":161.461}},"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":"18:37","solarNoonLocal":"12:09","dayLengthHours":12.954212668246546,"dayLengthDisplay":"12 Hours 57 Mins 15 Secs","nightLengthDisplay":"11 Hours 02 Mins 45 Secs","moonriseLocal":"04:44","moonsetLocal":"17:05","rahuKala":{"name":"Rāhu Kāla","start":"17:00","end":"18:37","startHours":17.00393545695779,"endHours":18.62321204048861,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:09","end":"13:46","startHours":12.146105706365336,"endHours":13.765382289896156,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:23","end":"17:00","startHours":15.384658873426973,"endHours":17.00393545695779,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:41","end":"09:07","startHours":8.691648994832924,"endHours":9.123456083774476,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:13","end":"06:33","startHours":6.208758233419004,"endHours":6.554203904572245,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:43","end":"12:35","startHours":11.714298617423784,"endHours":12.577912795306888,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:57","end":"04:48","startHours":3.941771016475858,"endHours":4.805385194358961,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:35","end":"05:40","startHours":4.589481649888185,"endHours":5.668999372242064,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:18","end":"15:10","startHours":14.305141151073096,"endHours":15.1687553289562,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:25","end":"18:49","startHours":18.42321204048861,"endHours":18.82321204048861,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:37","end":"19:10","startHours":18.62321204048861,"endHours":19.16297090166555,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:22","end":"20:07","startHours":18.37321204048861,"endHours":20.12321204048861,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:43","end":"00:35","startHours":23.714298617423786,"endHours":24.577912795306887,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:40","end":"07:17","startHours":5.668999372242064,"endHours":7.288275955772883,"quality":"inauspicious"},{"name":"Chala","start":"07:17","end":"08:54","startHours":7.288275955772883,"endHours":8.907552539303701,"quality":"neutral"},{"name":"Labha","start":"08:54","end":"10:32","startHours":8.907552539303701,"endHours":10.526829122834519,"quality":"auspicious"},{"name":"Amṛta","start":"10:32","end":"12:09","startHours":10.526829122834519,"endHours":12.146105706365336,"quality":"auspicious"},{"name":"Kāla","start":"12:09","end":"13:46","startHours":12.146105706365336,"endHours":13.765382289896156,"quality":"inauspicious"},{"name":"Śubha","start":"13:46","end":"15:23","startHours":13.765382289896156,"endHours":15.384658873426973,"quality":"auspicious"},{"name":"Roga","start":"15:23","end":"17:00","startHours":15.384658873426973,"endHours":17.00393545695779,"quality":"inauspicious"},{"name":"Udveg","start":"17:00","end":"18:37","startHours":17.00393545695779,"endHours":18.62321204048861,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:37","end":"20:00","startHours":18.62321204048861,"endHours":20.00393545695779,"quality":"auspicious"},{"name":"Roga","start":"20:00","end":"21:23","startHours":20.00393545695779,"endHours":21.384658873426975,"quality":"inauspicious"},{"name":"Udveg","start":"21:23","end":"22:46","startHours":21.384658873426975,"endHours":22.765382289896156,"quality":"inauspicious"},{"name":"Chala","start":"22:46","end":"00:09","startHours":22.765382289896156,"endHours":24.146105706365336,"quality":"neutral"},{"name":"Labha","start":"00:09","end":"01:32","startHours":24.146105706365336,"endHours":25.52682912283452,"quality":"auspicious"},{"name":"Amṛta","start":"01:32","end":"02:54","startHours":25.52682912283452,"endHours":26.9075525393037,"quality":"auspicious"},{"name":"Kāla","start":"02:54","end":"04:17","startHours":26.9075525393037,"endHours":28.288275955772882,"quality":"inauspicious"},{"name":"Śubha","start":"04:17","end":"05:40","startHours":28.288275955772882,"endHours":29.668999372242062,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:40","end":"06:40","startHours":5.668999372242064,"endHours":6.668999372242064,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:40","end":"07:40","startHours":6.668999372242064,"endHours":7.668999372242064,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:40","end":"08:40","startHours":7.668999372242064,"endHours":8.668999372242064,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:40","end":"09:40","startHours":8.668999372242064,"endHours":9.668999372242064,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:40","end":"10:40","startHours":9.668999372242064,"endHours":10.668999372242064,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:40","end":"11:40","startHours":10.668999372242064,"endHours":11.668999372242064,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:40","end":"12:40","startHours":11.668999372242064,"endHours":12.668999372242064,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:40","end":"13:40","startHours":12.668999372242064,"endHours":13.668999372242064,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:40","end":"14:40","startHours":13.668999372242064,"endHours":14.668999372242064,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:40","end":"15:40","startHours":14.668999372242064,"endHours":15.668999372242064,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:40","end":"16:40","startHours":15.668999372242064,"endHours":16.668999372242062,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:40","end":"17:40","startHours":16.668999372242062,"endHours":17.668999372242062,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:40","end":"18:40","startHours":17.668999372242062,"endHours":18.668999372242062,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:40","end":"19:40","startHours":18.668999372242062,"endHours":19.668999372242062,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:40","end":"20:40","startHours":19.668999372242062,"endHours":20.668999372242062,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:40","end":"21:40","startHours":20.668999372242062,"endHours":21.668999372242062,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:40","end":"22:40","startHours":21.668999372242062,"endHours":22.668999372242062,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:40","end":"23:40","startHours":22.668999372242062,"endHours":23.668999372242062,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:40","end":"00:40","startHours":23.668999372242062,"endHours":24.668999372242062,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:40","end":"01:40","startHours":24.668999372242062,"endHours":25.668999372242062,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:40","end":"02:40","startHours":25.668999372242062,"endHours":26.668999372242062,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:40","end":"03:40","startHours":26.668999372242062,"endHours":27.668999372242062,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:40","end":"04:40","startHours":27.668999372242062,"endHours":28.668999372242062,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:40","end":"05:40","startHours":28.668999372242062,"endHours":29.668999372242062,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":10.235004617806473,"eotMinutes":3.258457618079846,"ayanamsa":-48.294}},"calendars":{"vikram_samvat":-3108,"saka_samvat":-3243,"bengali_samvat":-3758,"malayalam_era":-3989,"nanakshahi_year":-4634,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Caturdaśī · Vikram -3108 undefined · Śaka -3243 undefined"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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 Māsika Śivarātri 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 May 4, 3166 BCE · Badarīnāth · Vidhyamitra","description":"May 4, 3166 BCE for Badarīnāth: Kṛṣṇa Caturdaśī, sūryodaya 05:40, sūryāsta 18:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-3165-05-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-3165-05-04","sa":"https://sa.vidhyamitra.com/city/badrinath/-3165-05-04","hi":"https://hi.vidhyamitra.com/city/badrinath/-3165-05-04","x-default":"https://vidhyamitra.com/city/badrinath/-3165-05-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T10:04:37.715Z","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":"2026-08-10T10:04:37.715Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T10:04:37.715Z","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"}}}