{"id":"vidhyamitra:city-day:badrinath:2050-04-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2050-04-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-04-16","date_display":"April 16, 2050 CE","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":2050,"month":4,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469912.770833,"kali_year":5151,"ahargana":1881447.2708,"sun":{"sidereal_longitude":1.7169,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":290.7522,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":289.0354,"elapsed_within_tithi_degrees":1.0354},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":290.7522,"elapsed_within_degrees":10.7522},"yoga":{"number":22,"name":"Sādhya","sum_longitude":292.4691},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"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":2050,"month":4,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469912.770833,"ahargana":1881447.2708,"kali_year":5151,"ayanamsa_lahiri":24.5555,"grahas":{"sun":{"sidereal_longitude":1.7056259999999952,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":288.41172600000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false,"latitude":4.4154},"mars":{"sidereal_longitude":267.2800259999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":4.994026000000019,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":90.15272600000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"venus":{"sidereal_longitude":26.785825999999986,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":282.7836259999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":211.8694,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":31.8694,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2050,"month":4,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469912.770833,"kali_year":5151,"ahargana":1881447.2708,"sun":{"sidereal_longitude":1.7169,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":290.7522,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":289.0354,"elapsed_within_tithi_degrees":1.0354},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":290.7522,"elapsed_within_degrees":10.7522},"yoga":{"number":22,"name":"Sādhya","sum_longitude":292.4691},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.415,"elongation":70.965},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.415,"opposition_distance":109.035}},"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":"05:44","sunsetLocal":"18:40","solarNoonLocal":"12:12","dayLengthHours":12.945987015153266,"dayLengthDisplay":"12 Hours 56 Mins 46 Secs","nightLengthDisplay":"11 Hours 03 Mins 14 Secs","moonriseLocal":"01:58","moonsetLocal":"12:40","rahuKala":{"name":"Rāhu Kāla","start":"08:58","end":"10:35","startHours":8.963661727601709,"endHours":10.581910104495869,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:49","end":"15:26","startHours":13.818406858284185,"endHours":15.436655235178343,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:44","end":"07:21","startHours":5.727164973813393,"endHours":7.345413350707551,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:11","startHours":8.747895277349155,"endHours":9.179428177854263,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:16","end":"06:37","startHours":6.266581099444779,"endHours":6.611807419848866,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:38","startHours":11.768625580884917,"endHours":12.631691381895136,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:00","end":"04:52","startHours":4.001033371792957,"endHours":4.864099172803175,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:39","end":"05:44","startHours":4.64833272255062,"endHours":5.727164973813393,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:13","startHours":14.35782298391557,"endHours":15.220888784925787,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:28","end":"18:52","startHours":18.47315198896666,"endHours":18.873151988966658,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:40","end":"19:13","startHours":18.67315198896666,"endHours":19.212568114598046,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:25","end":"20:10","startHours":18.42315198896666,"endHours":20.17315198896666,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:38","startHours":23.76862558088492,"endHours":24.631691381895134,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:44","end":"07:21","startHours":5.727164973813393,"endHours":7.345413350707551,"quality":"inauspicious"},{"name":"Śubha","start":"07:21","end":"08:58","startHours":7.345413350707551,"endHours":8.963661727601709,"quality":"auspicious"},{"name":"Roga","start":"08:58","end":"10:35","startHours":8.963661727601709,"endHours":10.581910104495869,"quality":"inauspicious"},{"name":"Udveg","start":"10:35","end":"12:12","startHours":10.581910104495869,"endHours":12.200158481390027,"quality":"inauspicious"},{"name":"Chala","start":"12:12","end":"13:49","startHours":12.200158481390027,"endHours":13.818406858284185,"quality":"neutral"},{"name":"Labha","start":"13:49","end":"15:26","startHours":13.818406858284185,"endHours":15.436655235178343,"quality":"auspicious"},{"name":"Amṛta","start":"15:26","end":"17:03","startHours":15.436655235178343,"endHours":17.0549036120725,"quality":"auspicious"},{"name":"Kāla","start":"17:03","end":"18:40","startHours":17.0549036120725,"endHours":18.67315198896666,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:40","end":"20:03","startHours":18.67315198896666,"endHours":20.0549036120725,"quality":"auspicious"},{"name":"Amṛta","start":"20:03","end":"21:26","startHours":20.0549036120725,"endHours":21.436655235178343,"quality":"auspicious"},{"name":"Kāla","start":"21:26","end":"22:49","startHours":21.436655235178343,"endHours":22.818406858284185,"quality":"inauspicious"},{"name":"Śubha","start":"22:49","end":"00:12","startHours":22.818406858284185,"endHours":24.200158481390027,"quality":"auspicious"},{"name":"Roga","start":"00:12","end":"01:35","startHours":24.200158481390027,"endHours":25.58191010449587,"quality":"inauspicious"},{"name":"Udveg","start":"01:35","end":"02:58","startHours":25.58191010449587,"endHours":26.96366172760171,"quality":"inauspicious"},{"name":"Chala","start":"02:58","end":"04:21","startHours":26.96366172760171,"endHours":28.345413350707553,"quality":"neutral"},{"name":"Labha","start":"04:21","end":"05:44","startHours":28.345413350707553,"endHours":29.727164973813395,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:44","end":"06:44","startHours":5.727164973813393,"endHours":6.727164973813393,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:44","end":"07:44","startHours":6.727164973813393,"endHours":7.727164973813393,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:44","end":"08:44","startHours":7.727164973813393,"endHours":8.727164973813393,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:44","end":"09:44","startHours":8.727164973813393,"endHours":9.727164973813393,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:44","end":"10:44","startHours":9.727164973813393,"endHours":10.727164973813393,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:44","end":"11:44","startHours":10.727164973813393,"endHours":11.727164973813393,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:44","end":"12:44","startHours":11.727164973813393,"endHours":12.727164973813393,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:44","end":"13:44","startHours":12.727164973813393,"endHours":13.727164973813393,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:44","end":"14:44","startHours":13.727164973813393,"endHours":14.727164973813393,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:44","end":"15:44","startHours":14.727164973813393,"endHours":15.727164973813393,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:44","end":"16:44","startHours":15.727164973813393,"endHours":16.727164973813395,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:44","end":"17:44","startHours":16.727164973813395,"endHours":17.727164973813395,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:44","end":"18:44","startHours":17.727164973813395,"endHours":18.727164973813395,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:44","end":"19:44","startHours":18.727164973813395,"endHours":19.727164973813395,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:44","end":"20:44","startHours":19.727164973813395,"endHours":20.727164973813395,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:44","end":"21:44","startHours":20.727164973813395,"endHours":21.727164973813395,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:44","end":"22:44","startHours":21.727164973813395,"endHours":22.727164973813395,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:44","end":"23:44","startHours":22.727164973813395,"endHours":23.727164973813395,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:44","end":"00:44","startHours":23.727164973813395,"endHours":24.727164973813395,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:44","end":"01:44","startHours":24.727164973813395,"endHours":25.727164973813395,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:44","end":"02:44","startHours":25.727164973813395,"endHours":26.727164973813395,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:44","end":"03:44","startHours":26.727164973813395,"endHours":27.727164973813395,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:44","end":"04:44","startHours":27.727164973813395,"endHours":28.727164973813395,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:44","end":"05:44","startHours":28.727164973813395,"endHours":29.727164973813395,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":10.135799886057388,"eotMinutes":0.015291116598477705,"ayanamsa":24.5555}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Caitra","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 Daśamī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[],"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":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"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 April 16, 2050 CE · Badarīnāth · Vidhyamitra","description":"April 16, 2050 CE for Badarīnāth: Kṛṣṇa Daśamī, sūryodaya 05:44, sūryāsta 18:40.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2050-04-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2050-04-16","sa":"https://sa.vidhyamitra.com/city/badrinath/2050-04-16","hi":"https://hi.vidhyamitra.com/city/badrinath/2050-04-16","x-default":"https://vidhyamitra.com/city/badrinath/2050-04-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T18:19:46.502Z","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":"2026-09-11T18:19:46.502Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T18:19:46.502Z","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":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}