{"id":"vidhyamitra:city-day:badrinath:-0461-03-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/-0461-03-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-0461-03-14","date_display":"March 14, 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":14,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1552749.770833,"kali_year":2641,"ahargana":964284.2708,"sun":{"sidereal_longitude":3.4106,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":266.3941,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":262.9836,"elapsed_within_tithi_degrees":10.9836},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4,"moon_longitude":266.3941,"elapsed_within_degrees":13.0608},"yoga":{"number":21,"name":"Siddha","sum_longitude":269.8047},"karana":{"half_tithi_index":43,"name":"Bava"},"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":-461,"month":3,"day":14,"hour":6,"minute":30,"calendar":"julian"},"julian_day":1552749.770833,"ahargana":964284.2708,"kali_year":2641,"ayanamsa_lahiri":-10.5226,"grahas":{"sun":{"sidereal_longitude":3.4106,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":266.3941,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false,"latitude":3.8487},"mars":{"sidereal_longitude":249.6121,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":346.0877,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":219.0504,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":35.1345,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":214.7387,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":207.5789,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":27.5789,"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":14,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":1552749.770833,"kali_year":2641,"ahargana":964284.2708,"sun":{"sidereal_longitude":3.4106,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":266.3941,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":262.9836,"elapsed_within_tithi_degrees":10.9836},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4,"moon_longitude":266.3941,"elapsed_within_degrees":13.0608},"yoga":{"number":21,"name":"Siddha","sum_longitude":269.8047},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.849,"elongation":97.016},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.849,"opposition_distance":82.984}},"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":"06:25","sunsetLocal":"18:19","solarNoonLocal":"12:22","dayLengthHours":11.905356531548088,"dayLengthDisplay":"11 Hours 54 Mins 19 Secs","nightLengthDisplay":"12 Hours 05 Mins 41 Secs","moonriseLocal":"00:48","moonsetLocal":"10:59","rahuKala":{"name":"Rāhu Kāla","start":"13:51","end":"15:21","startHours":13.854199870130966,"endHours":15.342369436574478,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:25","end":"07:54","startHours":6.413352037913411,"endHours":7.901521604356922,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:23","end":"10:53","startHours":9.389691170800432,"endHours":10.877860737243944,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:11","end":"09:35","startHours":9.191268561941298,"endHours":9.588113779659569,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:55","end":"07:14","startHours":6.909408560061248,"endHours":7.226884734235863,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:46","startHours":11.969185085969187,"endHours":12.762875521405725,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:50","end":"05:37","startHours":4.825971167040333,"endHours":5.619661602476872,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:25","end":"06:25","startHours":5.421238993617736,"endHours":6.413352037913411,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:09","startHours":14.350256392278803,"endHours":15.143946827715343,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:07","end":"18:31","startHours":18.1187085694615,"endHours":18.5187085694615,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:19","end":"18:49","startHours":18.3187085694615,"endHours":18.814765091609335,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:04","end":"19:49","startHours":18.0687085694615,"endHours":19.8187085694615,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:46","startHours":23.969185085969187,"endHours":24.762875521405725,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:25","end":"07:54","startHours":6.413352037913411,"endHours":7.901521604356922,"quality":"auspicious"},{"name":"Roga","start":"07:54","end":"09:23","startHours":7.901521604356922,"endHours":9.389691170800432,"quality":"inauspicious"},{"name":"Udveg","start":"09:23","end":"10:53","startHours":9.389691170800432,"endHours":10.877860737243944,"quality":"inauspicious"},{"name":"Chala","start":"10:53","end":"12:22","startHours":10.877860737243944,"endHours":12.366030303687456,"quality":"neutral"},{"name":"Labha","start":"12:22","end":"13:51","startHours":12.366030303687456,"endHours":13.854199870130966,"quality":"auspicious"},{"name":"Amṛta","start":"13:51","end":"15:21","startHours":13.854199870130966,"endHours":15.342369436574478,"quality":"auspicious"},{"name":"Kāla","start":"15:21","end":"16:50","startHours":15.342369436574478,"endHours":16.83053900301799,"quality":"inauspicious"},{"name":"Śubha","start":"16:50","end":"18:19","startHours":16.83053900301799,"endHours":18.3187085694615,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:19","end":"19:50","startHours":18.3187085694615,"endHours":19.83053900301799,"quality":"auspicious"},{"name":"Kāla","start":"19:50","end":"21:21","startHours":19.83053900301799,"endHours":21.342369436574476,"quality":"inauspicious"},{"name":"Śubha","start":"21:21","end":"22:51","startHours":21.342369436574476,"endHours":22.854199870130966,"quality":"auspicious"},{"name":"Roga","start":"22:51","end":"00:22","startHours":22.854199870130966,"endHours":24.366030303687456,"quality":"inauspicious"},{"name":"Udveg","start":"00:22","end":"01:53","startHours":24.366030303687456,"endHours":25.877860737243942,"quality":"inauspicious"},{"name":"Chala","start":"01:53","end":"03:23","startHours":25.877860737243942,"endHours":27.389691170800432,"quality":"neutral"},{"name":"Labha","start":"03:23","end":"04:54","startHours":27.389691170800432,"endHours":28.901521604356923,"quality":"auspicious"},{"name":"Amṛta","start":"04:54","end":"06:25","startHours":28.901521604356923,"endHours":30.413352037913413,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:25","end":"07:25","startHours":6.413352037913411,"endHours":7.413352037913411,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:25","end":"08:25","startHours":7.413352037913411,"endHours":8.41335203791341,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:25","end":"09:25","startHours":8.41335203791341,"endHours":9.41335203791341,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:25","end":"10:25","startHours":9.41335203791341,"endHours":10.41335203791341,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:25","end":"11:25","startHours":10.41335203791341,"endHours":11.41335203791341,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:25","end":"12:25","startHours":11.41335203791341,"endHours":12.41335203791341,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:25","end":"13:25","startHours":12.41335203791341,"endHours":13.41335203791341,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:25","end":"14:25","startHours":13.41335203791341,"endHours":14.41335203791341,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:25","end":"15:25","startHours":14.41335203791341,"endHours":15.41335203791341,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:25","end":"16:25","startHours":15.41335203791341,"endHours":16.413352037913413,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:25","end":"17:25","startHours":16.413352037913413,"endHours":17.413352037913413,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:25","end":"18:25","startHours":17.413352037913413,"endHours":18.413352037913413,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:25","end":"19:25","startHours":18.413352037913413,"endHours":19.413352037913413,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:25","end":"20:25","startHours":19.413352037913413,"endHours":20.413352037913413,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:25","end":"21:25","startHours":20.413352037913413,"endHours":21.413352037913413,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:25","end":"22:25","startHours":21.413352037913413,"endHours":22.413352037913413,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:25","end":"23:25","startHours":22.413352037913413,"endHours":23.413352037913413,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:25","end":"00:25","startHours":23.413352037913413,"endHours":24.413352037913413,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:25","end":"01:25","startHours":24.413352037913413,"endHours":25.413352037913413,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:25","end":"02:25","startHours":25.413352037913413,"endHours":26.413352037913413,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:25","end":"03:25","startHours":26.413352037913413,"endHours":27.413352037913413,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:25","end":"04:25","startHours":27.413352037913413,"endHours":28.413352037913413,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:25","end":"05:25","startHours":28.413352037913413,"endHours":29.413352037913413,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:25","end":"06:25","startHours":29.413352037913413,"endHours":30.413352037913413,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"undefined (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-2.822556466607903,"eotMinutes":-9.937018221247362,"ayanamsa":-10.5226}},"calendars":{"vikram_samvat":-404,"saka_samvat":-539,"bengali_samvat":-1054,"malayalam_era":-1285,"nanakshahi_year":-1930,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa 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 Kṛṣṇa Saptamī · Vikram -404 undefined · Śaka -539 undefined"},"festivals":[],"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":"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 14, 462 BCE · Badarīnāth · Vidhyamitra","description":"March 14, 462 BCE for Badarīnāth: Kṛṣṇa Saptamī, sūryodaya 06:25, sūryāsta 18:19.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/-0461-03-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/-0461-03-14","sa":"https://sa.vidhyamitra.com/city/badrinath/-0461-03-14","hi":"https://hi.vidhyamitra.com/city/badrinath/-0461-03-14","x-default":"https://vidhyamitra.com/city/badrinath/-0461-03-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T21:14:59.583Z","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":"2026-08-12T21:14:59.583Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T21:14:59.583Z","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"}}}