{"id":"vidhyamitra:city-day:badrinath:-0468-03-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-0468-03-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0468-03-15","date_display":"March 15, 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":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550194.770833,"kali_year":2634,"ahargana":961729.2708,"sun":{"sidereal_longitude":5.1741,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":81.5444,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":76.3703,"elapsed_within_tithi_degrees":4.3703},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":81.5444,"elapsed_within_degrees":1.5444},"yoga":{"number":7,"name":"Sukarma","sum_longitude":86.7185},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":15,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1550194.770833,"ahargana":961729.2708,"kali_year":2634,"ayanamsa_lahiri":-10.6203,"grahas":{"sun":{"sidereal_longitude":5.1741,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":81.5444,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false,"latitude":4.4494},"mars":{"sidereal_longitude":336.9021,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":356.8315,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":356.6218,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":14.5584,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":121.0086,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":342.9551,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":162.9551,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"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":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1550194.770833,"kali_year":2634,"ahargana":961729.2708,"sun":{"sidereal_longitude":5.1741,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":81.5444,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":76.3703,"elapsed_within_tithi_degrees":4.3703},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":81.5444,"elapsed_within_degrees":1.5444},"yoga":{"number":7,"name":"Sukarma","sum_longitude":86.7185},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.449,"elongation":76.37},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.449,"opposition_distance":103.63}},"eclipse_window_40days":[{"offset_days":-6,"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":"06:23","sunsetLocal":"18:20","solarNoonLocal":"12:22","dayLengthHours":11.957668550680147,"dayLengthDisplay":"11 Hours 57 Mins 28 Secs","nightLengthDisplay":"12 Hours 02 Mins 32 Secs","moonriseLocal":"10:28","moonsetLocal":"00:26","rahuKala":{"name":"Rāhu Kāla","start":"13:51","end":"15:21","startHours":13.855968335722295,"endHours":15.350676904557314,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:23","end":"07:53","startHours":6.382425491547203,"endHours":7.877134060382222,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:22","end":"10:52","startHours":9.371842629217241,"endHours":10.866551198052258,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:10","end":"09:34","startHours":9.17254815337257,"endHours":9.57113710506191,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:53","end":"07:12","startHours":6.880661681158876,"endHours":7.199532842510346,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:46","startHours":11.962670815197937,"endHours":12.759848718576615,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:47","end":"05:35","startHours":4.788069684789851,"endHours":5.585247588168527,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:23","end":"06:23","startHours":5.3859531123238575,"endHours":6.382425491547203,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:09","startHours":14.354204525333968,"endHours":15.151382428712644,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:08","end":"18:32","startHours":18.14009404222735,"endHours":18.54009404222735,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:20","end":"18:50","startHours":18.34009404222735,"endHours":18.838330231839024,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:05","end":"19:50","startHours":18.09009404222735,"endHours":19.84009404222735,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:46","startHours":23.96267081519794,"endHours":24.759848718576613,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:23","end":"07:53","startHours":6.382425491547203,"endHours":7.877134060382222,"quality":"auspicious"},{"name":"Roga","start":"07:53","end":"09:22","startHours":7.877134060382222,"endHours":9.371842629217241,"quality":"inauspicious"},{"name":"Udveg","start":"09:22","end":"10:52","startHours":9.371842629217241,"endHours":10.866551198052258,"quality":"inauspicious"},{"name":"Chala","start":"10:52","end":"12:22","startHours":10.866551198052258,"endHours":12.361259766887276,"quality":"neutral"},{"name":"Labha","start":"12:22","end":"13:51","startHours":12.361259766887276,"endHours":13.855968335722295,"quality":"auspicious"},{"name":"Amṛta","start":"13:51","end":"15:21","startHours":13.855968335722295,"endHours":15.350676904557314,"quality":"auspicious"},{"name":"Kāla","start":"15:21","end":"16:51","startHours":15.350676904557314,"endHours":16.84538547339233,"quality":"inauspicious"},{"name":"Śubha","start":"16:51","end":"18:20","startHours":16.84538547339233,"endHours":18.34009404222735,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:20","end":"19:51","startHours":18.34009404222735,"endHours":19.84538547339233,"quality":"auspicious"},{"name":"Kāla","start":"19:51","end":"21:21","startHours":19.84538547339233,"endHours":21.35067690455731,"quality":"inauspicious"},{"name":"Śubha","start":"21:21","end":"22:51","startHours":21.35067690455731,"endHours":22.855968335722295,"quality":"auspicious"},{"name":"Roga","start":"22:51","end":"00:22","startHours":22.855968335722295,"endHours":24.361259766887276,"quality":"inauspicious"},{"name":"Udveg","start":"00:22","end":"01:52","startHours":24.361259766887276,"endHours":25.866551198052257,"quality":"inauspicious"},{"name":"Chala","start":"01:52","end":"03:22","startHours":25.866551198052257,"endHours":27.37184262921724,"quality":"neutral"},{"name":"Labha","start":"03:22","end":"04:53","startHours":27.37184262921724,"endHours":28.87713406038222,"quality":"auspicious"},{"name":"Amṛta","start":"04:53","end":"06:23","startHours":28.87713406038222,"endHours":30.382425491547203,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:23","end":"07:23","startHours":6.382425491547203,"endHours":7.382425491547203,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:23","end":"08:23","startHours":7.382425491547203,"endHours":8.382425491547203,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:23","end":"09:23","startHours":8.382425491547203,"endHours":9.382425491547203,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:23","end":"10:23","startHours":9.382425491547203,"endHours":10.382425491547203,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:23","end":"11:23","startHours":10.382425491547203,"endHours":11.382425491547203,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:23","end":"12:23","startHours":11.382425491547203,"endHours":12.382425491547203,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:23","end":"13:23","startHours":12.382425491547203,"endHours":13.382425491547203,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:23","end":"14:23","startHours":13.382425491547203,"endHours":14.382425491547203,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:23","end":"15:23","startHours":14.382425491547203,"endHours":15.382425491547203,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:23","end":"16:23","startHours":15.382425491547203,"endHours":16.382425491547203,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:23","end":"17:23","startHours":16.382425491547203,"endHours":17.382425491547203,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:23","end":"18:23","startHours":17.382425491547203,"endHours":18.382425491547203,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:23","end":"19:23","startHours":18.382425491547203,"endHours":19.382425491547203,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:23","end":"20:23","startHours":19.382425491547203,"endHours":20.382425491547203,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:23","end":"21:23","startHours":20.382425491547203,"endHours":21.382425491547203,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:23","end":"22:23","startHours":21.382425491547203,"endHours":22.382425491547203,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:23","end":"23:23","startHours":22.382425491547203,"endHours":23.382425491547203,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:23","end":"00:23","startHours":23.382425491547203,"endHours":24.382425491547203,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:23","end":"01:23","startHours":24.382425491547203,"endHours":25.382425491547203,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:23","end":"02:23","startHours":25.382425491547203,"endHours":26.382425491547203,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:23","end":"03:23","startHours":26.382425491547203,"endHours":27.382425491547203,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:23","end":"04:23","startHours":27.382425491547203,"endHours":28.382425491547203,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:23","end":"05:23","startHours":28.382425491547203,"endHours":29.382425491547203,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:23","end":"06:23","startHours":29.382425491547203,"endHours":30.382425491547203,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"undefined (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-2.163384080671438,"eotMinutes":-9.650786013236482,"ayanamsa":-10.6203}},"calendars":{"vikram_samvat":-411,"saka_samvat":-546,"bengali_samvat":-1061,"malayalam_era":-1292,"nanakshahi_year":-1937,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Saptamī · Vikram -411 undefined · Śaka -546 undefined"},"festivals":[{"id":"ganga-saptami","name":"Gaṅgā Saptamī","name_sanskrit":"गङ्गा सप्तमी","tradition":"Pan-Hindu","associated_deity":"Devī Gaṅgā","significance":"Gaṅgā Devī's descent to Brahma-loka before her earth-descent.","vrata":true,"detection":{"tithi_number":7,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":4}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Dedicated festival walk for Gaṅgā Saptamī is not live yet; Guruvāra (Thursday) — 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 15, 469 BCE · Badarīnāth · Vidhyamitra","description":"March 15, 469 BCE for Badarīnāth: Śukla Saptamī, sūryodaya 06:23, sūryāsta 18:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-0468-03-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-0468-03-15","sa":"https://sa.vidhyamitra.com/city/badrinath/-0468-03-15","hi":"https://hi.vidhyamitra.com/city/badrinath/-0468-03-15","x-default":"https://vidhyamitra.com/city/badrinath/-0468-03-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T16:05:11.826Z","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":"2026-08-11T16:05:11.826Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T16:05:11.826Z","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"}}}