{"id":"vidhyamitra:city-day:badrinath:-0461-03-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-0461-03-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0461-03-30","date_display":"March 30, 462 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":-461,"month":3,"day":30,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1552765.770833,"kali_year":2641,"ahargana":964300.2708,"sun":{"sidereal_longitude":18.9184,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":123.9919,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":105.0735,"elapsed_within_tithi_degrees":9.0735},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":123.9919,"elapsed_within_degrees":3.9919},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":142.9103},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":-461,"month":3,"day":30,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1552765.770833,"ahargana":964300.2708,"kali_year":2641,"ayanamsa_lahiri":-10.5219,"grahas":{"sun":{"sidereal_longitude":18.9184,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":123.9919,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false,"latitude":-4.4638},"mars":{"sidereal_longitude":253.0496,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":350.9473,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":217.3906,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":34.3159,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":213.6541,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":206.7311,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":26.7311,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","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":-461,"month":3,"day":30,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1552765.770833,"kali_year":2641,"ahargana":964300.2708,"sun":{"sidereal_longitude":18.9184,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":123.9919,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":105.0735,"elapsed_within_tithi_degrees":9.0735},"nakshatra":{"number":10,"name":"Maghā","pada":2,"moon_longitude":123.9919,"elapsed_within_degrees":3.9919},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":142.9103},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.464,"elongation":105.073},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.464,"opposition_distance":74.927}},"eclipse_window_40days":[{"offset_days":-8,"type":"solar","occurs":true,"moon_latitude":1.169,"elongation":0.899}]},"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":"06:05","sunsetLocal":"18:29","solarNoonLocal":"12:17","dayLengthHours":12.393955427599389,"dayLengthDisplay":"12 Hours 23 Mins 38 Secs","nightLengthDisplay":"11 Hours 36 Mins 22 Secs","moonriseLocal":"12:20","moonsetLocal":"02:14","rahuKala":{"name":"Rāhu Kāla","start":"09:11","end":"10:44","startHours":9.184931151564552,"endHours":10.734175580014476,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:50","end":"15:23","startHours":13.832664436914323,"endHours":15.381908865364247,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:05","end":"07:38","startHours":6.086442294664705,"endHours":7.635686723114628,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:23","startHours":8.97836522777123,"endHours":9.391497075357876,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:36","end":"06:56","startHours":6.602857104148013,"endHours":6.93336258221733,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:42","startHours":11.870288160877752,"endHours":12.696551856051045,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:26","end":"05:16","startHours":4.43391490431812,"endHours":5.260178599491413,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:03","end":"06:05","startHours":5.053612675698089,"endHours":6.086442294664705,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:11","startHours":14.34907924639763,"endHours":15.175342941570923,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:17","end":"18:41","startHours":18.280397722264095,"endHours":18.680397722264093,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:29","end":"19:00","startHours":18.480397722264094,"endHours":18.996812531747402,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:14","end":"19:59","startHours":18.230397722264094,"endHours":19.980397722264094,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:42","startHours":23.87028816087775,"endHours":24.696551856051045,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:05","end":"07:38","startHours":6.086442294664705,"endHours":7.635686723114628,"quality":"inauspicious"},{"name":"Śubha","start":"07:38","end":"09:11","startHours":7.635686723114628,"endHours":9.184931151564552,"quality":"auspicious"},{"name":"Roga","start":"09:11","end":"10:44","startHours":9.184931151564552,"endHours":10.734175580014476,"quality":"inauspicious"},{"name":"Udveg","start":"10:44","end":"12:17","startHours":10.734175580014476,"endHours":12.2834200084644,"quality":"inauspicious"},{"name":"Chala","start":"12:17","end":"13:50","startHours":12.2834200084644,"endHours":13.832664436914323,"quality":"neutral"},{"name":"Labha","start":"13:50","end":"15:23","startHours":13.832664436914323,"endHours":15.381908865364247,"quality":"auspicious"},{"name":"Amṛta","start":"15:23","end":"16:56","startHours":15.381908865364247,"endHours":16.93115329381417,"quality":"auspicious"},{"name":"Kāla","start":"16:56","end":"18:29","startHours":16.93115329381417,"endHours":18.480397722264094,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:29","end":"19:56","startHours":18.480397722264094,"endHours":19.93115329381417,"quality":"auspicious"},{"name":"Amṛta","start":"19:56","end":"21:23","startHours":19.93115329381417,"endHours":21.381908865364245,"quality":"auspicious"},{"name":"Kāla","start":"21:23","end":"22:50","startHours":21.381908865364245,"endHours":22.83266443691432,"quality":"inauspicious"},{"name":"Śubha","start":"22:50","end":"00:17","startHours":22.83266443691432,"endHours":24.2834200084644,"quality":"auspicious"},{"name":"Roga","start":"00:17","end":"01:44","startHours":24.2834200084644,"endHours":25.734175580014476,"quality":"inauspicious"},{"name":"Udveg","start":"01:44","end":"03:11","startHours":25.734175580014476,"endHours":27.18493115156455,"quality":"inauspicious"},{"name":"Chala","start":"03:11","end":"04:38","startHours":27.18493115156455,"endHours":28.63568672311463,"quality":"neutral"},{"name":"Labha","start":"04:38","end":"06:05","startHours":28.63568672311463,"endHours":30.086442294664707,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:05","end":"07:05","startHours":6.086442294664705,"endHours":7.086442294664705,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:05","end":"08:05","startHours":7.086442294664705,"endHours":8.086442294664705,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:05","end":"09:05","startHours":8.086442294664705,"endHours":9.086442294664705,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:05","end":"10:05","startHours":9.086442294664705,"endHours":10.086442294664705,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:05","end":"11:05","startHours":10.086442294664705,"endHours":11.086442294664705,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:05","end":"12:05","startHours":11.086442294664705,"endHours":12.086442294664705,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:05","end":"13:05","startHours":12.086442294664705,"endHours":13.086442294664705,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:05","end":"14:05","startHours":13.086442294664705,"endHours":14.086442294664705,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:05","end":"15:05","startHours":14.086442294664705,"endHours":15.086442294664705,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:05","end":"16:05","startHours":15.086442294664705,"endHours":16.086442294664707,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:05","end":"17:05","startHours":16.086442294664707,"endHours":17.086442294664707,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:05","end":"18:05","startHours":17.086442294664707,"endHours":18.086442294664707,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:05","end":"19:05","startHours":18.086442294664707,"endHours":19.086442294664707,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:05","end":"20:05","startHours":19.086442294664707,"endHours":20.086442294664707,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:05","end":"21:05","startHours":20.086442294664707,"endHours":21.086442294664707,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:05","end":"22:05","startHours":21.086442294664707,"endHours":22.086442294664707,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:05","end":"23:05","startHours":22.086442294664707,"endHours":23.086442294664707,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:05","end":"00:05","startHours":23.086442294664707,"endHours":24.086442294664707,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:05","end":"01:05","startHours":24.086442294664707,"endHours":25.086442294664707,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:05","end":"02:05","startHours":25.086442294664707,"endHours":26.086442294664707,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:05","end":"03:05","startHours":26.086442294664707,"endHours":27.086442294664707,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:05","end":"04:05","startHours":27.086442294664707,"endHours":28.086442294664707,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:05","end":"05:05","startHours":28.086442294664707,"endHours":29.086442294664707,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:05","end":"06:05","startHours":29.086442294664707,"endHours":30.086442294664707,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.3294936431596716,"eotMinutes":-4.980400507863914,"ayanamsa":-10.5219}},"calendars":{"vikram_samvat":-404,"saka_samvat":-539,"bengali_samvat":-1054,"malayalam_era":-1285,"nanakshahi_year":-1930,"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 Navamī · Vikram -404 undefined · Śaka -539 undefined"},"festivals":[{"id":"sita-navami","name":"Sītā Navamī","name_sanskrit":"सीता नवमी","tradition":"Vaishnava","associated_deity":"Sītā Devī (Lakṣmī as Bhū-suta)","significance":"Devī Sītā's manifestation in Mithilā; rāmāvatāra-kalatra.","vrata":true,"detection":{"tithi_number":9,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":2,"sources":["Vālmīki Rāmāyaṇa, Bāla-Kāṇḍa 66"]},{"id":"madhva-jayanti","name":"Madhvācārya Jayantī","name_sanskrit":"मध्वाचार्य जयन्ती","tradition":"Vaishnava","associated_deity":"Madhvācārya (Dvaita)","significance":"Birth of Madhvācārya; Dvaita-pratiṣṭhāpaka. Vaiśākha Śukla 9.","vrata":false,"detection":{"tithi_number":9,"tithi_paksha":"Śukla","lunar_month":"Vaiśākha"},"precedence":4}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Dedicated festival walk for Sītā Navamī · Madhvācārya Jayantī is not live yet; Śanivāra (Saturday) — 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 30, 462 BCE · Badarīnāth · Vidhyamitra","description":"March 30, 462 BCE for Badarīnāth: Śukla Navamī, sūryodaya 06:05, sūryāsta 18:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-0461-03-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-0461-03-30","sa":"https://sa.vidhyamitra.com/city/badrinath/-0461-03-30","hi":"https://hi.vidhyamitra.com/city/badrinath/-0461-03-30","x-default":"https://vidhyamitra.com/city/badrinath/-0461-03-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T04:54:53.296Z","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":"2026-08-11T04:54:53.296Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T04:54:53.296Z","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"}}}