{"id":"vidhyamitra:city-day:badrinath:-0468-03-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-0468-03-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0468-03-04","date_display":"March 4, 469 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":-468,"month":3,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550183.770833,"kali_year":2633,"ahargana":961718.2708,"sun":{"sidereal_longitude":354.4308,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":296.214,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":301.7832,"elapsed_within_tithi_degrees":1.7832},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":296.214,"elapsed_within_degrees":2.8807},"yoga":{"number":22,"name":"Sādhya","sum_longitude":290.6448},"karana":{"half_tithi_index":50,"name":"Bava"},"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":-468,"month":3,"day":4,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1550183.770833,"ahargana":961718.2708,"kali_year":2633,"ayanamsa_lahiri":-10.6207,"grahas":{"sun":{"sidereal_longitude":354.4308,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":296.214,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false,"latitude":-3.3068},"mars":{"sidereal_longitude":328.4466,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":3.4736,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":354.1882,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":0.6689,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":121.2912,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":343.5379,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":163.5379,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":-468,"month":3,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550183.770833,"kali_year":2633,"ahargana":961718.2708,"sun":{"sidereal_longitude":354.4308,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":296.214,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":301.7832,"elapsed_within_tithi_degrees":1.7832},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1,"moon_longitude":296.214,"elapsed_within_degrees":2.8807},"yoga":{"number":22,"name":"Sādhya","sum_longitude":290.6448},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.307,"elongation":58.217},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.307,"opposition_distance":121.783}},"eclipse_window_40days":[{"offset_days":5,"type":"solar","occurs":true,"moon_latitude":1.203,"elongation":0.524}]},"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":"06:36","sunsetLocal":"18:13","solarNoonLocal":"12:24","dayLengthHours":11.622855426588156,"dayLengthDisplay":"11 Hours 37 Mins 22 Secs","nightLengthDisplay":"12 Hours 22 Mins 38 Secs","moonriseLocal":"03:26","moonsetLocal":"13:38","rahuKala":{"name":"Rāhu Kāla","start":"16:46","end":"18:13","startHours":16.7664261184248,"endHours":18.21928304674832,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:24","end":"13:52","startHours":12.40785533345424,"endHours":13.86071226177776,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:19","end":"16:46","startHours":15.31356919010128,"endHours":16.7664261184248,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:19","end":"09:42","startHours":9.3084272196974,"endHours":9.695855733917004,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:05","end":"07:23","startHours":7.080713262934669,"endHours":7.390656074310353,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:48","startHours":12.020426819234636,"endHours":12.795283847673847,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:03","end":"05:49","startHours":5.046713563281742,"endHours":5.821570591720953,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:36","startHours":5.62785633461115,"endHours":6.596427620160163,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:07","startHours":14.344997904552267,"endHours":15.119854932991478,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:01","end":"18:25","startHours":18.01928304674832,"endHours":18.41928304674832,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:13","end":"18:42","startHours":18.21928304674832,"endHours":18.703568689522825,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:58","end":"19:43","startHours":17.96928304674832,"endHours":19.71928304674832,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:48","startHours":24.02042681923464,"endHours":24.795283847673847,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:36","end":"08:03","startHours":6.596427620160163,"endHours":8.049284548483682,"quality":"inauspicious"},{"name":"Chala","start":"08:03","end":"09:30","startHours":8.049284548483682,"endHours":9.502141476807202,"quality":"neutral"},{"name":"Labha","start":"09:30","end":"10:57","startHours":9.502141476807202,"endHours":10.95499840513072,"quality":"auspicious"},{"name":"Amṛta","start":"10:57","end":"12:24","startHours":10.95499840513072,"endHours":12.40785533345424,"quality":"auspicious"},{"name":"Kāla","start":"12:24","end":"13:52","startHours":12.40785533345424,"endHours":13.86071226177776,"quality":"inauspicious"},{"name":"Śubha","start":"13:52","end":"15:19","startHours":13.86071226177776,"endHours":15.31356919010128,"quality":"auspicious"},{"name":"Roga","start":"15:19","end":"16:46","startHours":15.31356919010128,"endHours":16.7664261184248,"quality":"inauspicious"},{"name":"Udveg","start":"16:46","end":"18:13","startHours":16.7664261184248,"endHours":18.21928304674832,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:13","end":"19:46","startHours":18.21928304674832,"endHours":19.7664261184248,"quality":"auspicious"},{"name":"Roga","start":"19:46","end":"21:19","startHours":19.7664261184248,"endHours":21.31356919010128,"quality":"inauspicious"},{"name":"Udveg","start":"21:19","end":"22:52","startHours":21.31356919010128,"endHours":22.860712261777763,"quality":"inauspicious"},{"name":"Chala","start":"22:52","end":"00:24","startHours":22.860712261777763,"endHours":24.407855333454243,"quality":"neutral"},{"name":"Labha","start":"00:24","end":"01:57","startHours":24.407855333454243,"endHours":25.954998405130723,"quality":"auspicious"},{"name":"Amṛta","start":"01:57","end":"03:30","startHours":25.954998405130723,"endHours":27.502141476807203,"quality":"auspicious"},{"name":"Kāla","start":"03:30","end":"05:03","startHours":27.502141476807203,"endHours":29.049284548483683,"quality":"inauspicious"},{"name":"Śubha","start":"05:03","end":"06:36","startHours":29.049284548483683,"endHours":30.596427620160163,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:36","end":"07:36","startHours":6.596427620160163,"endHours":7.596427620160163,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:36","end":"08:36","startHours":7.596427620160163,"endHours":8.596427620160163,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:36","end":"09:36","startHours":8.596427620160163,"endHours":9.596427620160163,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:36","end":"10:36","startHours":9.596427620160163,"endHours":10.596427620160163,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:36","end":"11:36","startHours":10.596427620160163,"endHours":11.596427620160163,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:36","end":"12:36","startHours":11.596427620160163,"endHours":12.596427620160163,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:36","end":"13:36","startHours":12.596427620160163,"endHours":13.596427620160163,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:36","end":"14:36","startHours":13.596427620160163,"endHours":14.596427620160163,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:36","end":"15:36","startHours":14.596427620160163,"endHours":15.596427620160163,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:36","end":"16:36","startHours":15.596427620160163,"endHours":16.596427620160163,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:36","end":"17:36","startHours":16.596427620160163,"endHours":17.596427620160163,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:36","end":"18:36","startHours":17.596427620160163,"endHours":18.596427620160163,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:36","end":"19:36","startHours":18.596427620160163,"endHours":19.596427620160163,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:36","end":"20:36","startHours":19.596427620160163,"endHours":20.596427620160163,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:36","end":"21:36","startHours":20.596427620160163,"endHours":21.596427620160163,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:36","end":"22:36","startHours":21.596427620160163,"endHours":22.596427620160163,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:36","end":"23:36","startHours":22.596427620160163,"endHours":23.596427620160163,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:36","end":"00:36","startHours":23.596427620160163,"endHours":24.596427620160163,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:36","end":"01:36","startHours":24.596427620160163,"endHours":25.596427620160163,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:36","end":"02:36","startHours":25.596427620160163,"endHours":26.596427620160163,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:36","end":"03:36","startHours":26.596427620160163,"endHours":27.596427620160163,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:36","end":"04:36","startHours":27.596427620160163,"endHours":28.596427620160163,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:36","end":"05:36","startHours":28.596427620160163,"endHours":29.596427620160163,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:36","end":"06:36","startHours":29.596427620160163,"endHours":30.596427620160163,"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":["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":"Gada","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-6.3669968462668045,"eotMinutes":-12.446520007254474,"ayanamsa":-10.6207}},"calendars":{"vikram_samvat":-411,"saka_samvat":-546,"bengali_samvat":-1061,"malayalam_era":-1292,"nanakshahi_year":-1937,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Ekādaśī · Vikram -411 undefined · Śaka -546 undefined"},"festivals":[{"id":"papamochani-ekadashi","name":"Pāpamocanī Ekādaśī","name_sanskrit":"पापमोचनी एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Removes mahā-pātakas (great sins).","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Caitra"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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 Pāpamocanī Ekādaśī · Ekādaśī 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 March 4, 469 BCE · Badarīnāth · Vidhyamitra","description":"March 4, 469 BCE for Badarīnāth: Kṛṣṇa Ekādaśī, sūryodaya 06:36, sūryāsta 18:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-0468-03-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-0468-03-04","sa":"https://sa.vidhyamitra.com/city/badrinath/-0468-03-04","hi":"https://hi.vidhyamitra.com/city/badrinath/-0468-03-04","x-default":"https://vidhyamitra.com/city/badrinath/-0468-03-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-13T08:45:53.800Z","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":"2026-08-13T08:45:53.800Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-13T08:45:53.800Z","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"}}}