{"id":"vidhyamitra:city-day:badrinath:2050-04-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2050-04-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-04-05","date_display":"April 5, 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":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469901.770833,"kali_year":5151,"ahargana":1881436.2708,"sun":{"sidereal_longitude":350.9474,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":144.0597,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.1123,"elapsed_within_tithi_degrees":9.1123},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":144.0597,"elapsed_within_degrees":10.7263},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":135.007},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469901.770833,"ahargana":1881436.2708,"kali_year":5151,"ayanamsa_lahiri":24.5551,"grahas":{"sun":{"sidereal_longitude":350.904147,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":145.172847,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false,"latitude":-4.1832},"mars":{"sidereal_longitude":260.88114700000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":7.39464700000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":89.44494700000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"venus":{"sidereal_longitude":13.331747000000007,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":282.135047,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":212.4523,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":32.4523,"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":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469901.770833,"kali_year":5151,"ahargana":1881436.2708,"sun":{"sidereal_longitude":350.9474,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":144.0597,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.1123,"elapsed_within_tithi_degrees":9.1123},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4,"moon_longitude":144.0597,"elapsed_within_degrees":10.7263},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":135.007},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.183,"elongation":153.112},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.183,"opposition_distance":26.888}},"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":"05:57","sunsetLocal":"18:34","solarNoonLocal":"12:15","dayLengthHours":12.615066338514879,"dayLengthDisplay":"12 Hours 36 Mins 54 Secs","nightLengthDisplay":"11 Hours 23 Mins 06 Secs","moonriseLocal":"16:20","moonsetLocal":"04:45","rahuKala":{"name":"Rāhu Kāla","start":"15:24","end":"16:59","startHours":15.405765774059994,"endHours":16.982649066374353,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:06","end":"10:41","startHours":9.098232604802554,"endHours":10.675115897116914,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:15","end":"13:50","startHours":12.251999189431274,"endHours":13.828882481745634,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:53","end":"09:19","startHours":8.88798149916064,"endHours":9.30848371044447,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:28","end":"06:48","startHours":6.470093784278622,"endHours":6.806495553305686,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:40","startHours":11.831496978147445,"endHours":12.672501400715102,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:16","end":"05:06","startHours":4.262457175038518,"endHours":5.103461597606176,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:54","end":"05:57","startHours":4.893210491964262,"endHours":5.944466020173835,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:12","startHours":14.35451024585042,"endHours":15.19551466841808,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:22","end":"18:46","startHours":18.359532358688714,"endHours":18.759532358688713,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:34","end":"19:05","startHours":18.559532358688713,"endHours":19.0851601227935,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:19","end":"20:04","startHours":18.309532358688713,"endHours":20.059532358688713,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:40","startHours":23.831496978147445,"endHours":24.672501400715102,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:57","end":"07:31","startHours":5.944466020173835,"endHours":7.521349312488195,"quality":"inauspicious"},{"name":"Udveg","start":"07:31","end":"09:06","startHours":7.521349312488195,"endHours":9.098232604802554,"quality":"inauspicious"},{"name":"Chala","start":"09:06","end":"10:41","startHours":9.098232604802554,"endHours":10.675115897116914,"quality":"neutral"},{"name":"Labha","start":"10:41","end":"12:15","startHours":10.675115897116914,"endHours":12.251999189431274,"quality":"auspicious"},{"name":"Amṛta","start":"12:15","end":"13:50","startHours":12.251999189431274,"endHours":13.828882481745634,"quality":"auspicious"},{"name":"Kāla","start":"13:50","end":"15:24","startHours":13.828882481745634,"endHours":15.405765774059994,"quality":"inauspicious"},{"name":"Śubha","start":"15:24","end":"16:59","startHours":15.405765774059994,"endHours":16.982649066374353,"quality":"auspicious"},{"name":"Roga","start":"16:59","end":"18:34","startHours":16.982649066374353,"endHours":18.559532358688713,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:34","end":"19:59","startHours":18.559532358688713,"endHours":19.982649066374353,"quality":"inauspicious"},{"name":"Śubha","start":"19:59","end":"21:24","startHours":19.982649066374353,"endHours":21.405765774059994,"quality":"auspicious"},{"name":"Roga","start":"21:24","end":"22:50","startHours":21.405765774059994,"endHours":22.828882481745634,"quality":"inauspicious"},{"name":"Udveg","start":"22:50","end":"00:15","startHours":22.828882481745634,"endHours":24.251999189431274,"quality":"inauspicious"},{"name":"Chala","start":"00:15","end":"01:41","startHours":24.251999189431274,"endHours":25.675115897116914,"quality":"neutral"},{"name":"Labha","start":"01:41","end":"03:06","startHours":25.675115897116914,"endHours":27.098232604802554,"quality":"auspicious"},{"name":"Amṛta","start":"03:06","end":"04:31","startHours":27.098232604802554,"endHours":28.521349312488194,"quality":"auspicious"},{"name":"Kāla","start":"04:31","end":"05:57","startHours":28.521349312488194,"endHours":29.944466020173834,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:57","end":"06:57","startHours":5.944466020173835,"endHours":6.944466020173835,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:57","end":"07:57","startHours":6.944466020173835,"endHours":7.944466020173835,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:57","end":"08:57","startHours":7.944466020173835,"endHours":8.944466020173834,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:57","end":"09:57","startHours":8.944466020173834,"endHours":9.944466020173834,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:57","end":"10:57","startHours":9.944466020173834,"endHours":10.944466020173834,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:57","end":"11:57","startHours":10.944466020173834,"endHours":11.944466020173834,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:57","end":"12:57","startHours":11.944466020173834,"endHours":12.944466020173834,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:57","end":"13:57","startHours":12.944466020173834,"endHours":13.944466020173834,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:57","end":"14:57","startHours":13.944466020173834,"endHours":14.944466020173834,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:57","end":"15:57","startHours":14.944466020173834,"endHours":15.944466020173834,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:57","end":"16:57","startHours":15.944466020173834,"endHours":16.944466020173834,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:57","end":"17:57","startHours":16.944466020173834,"endHours":17.944466020173834,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:57","end":"18:57","startHours":17.944466020173834,"endHours":18.944466020173834,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:57","end":"19:57","startHours":18.944466020173834,"endHours":19.944466020173834,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:57","end":"20:57","startHours":19.944466020173834,"endHours":20.944466020173834,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:57","end":"21:57","startHours":20.944466020173834,"endHours":21.944466020173834,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:57","end":"22:57","startHours":21.944466020173834,"endHours":22.944466020173834,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:57","end":"23:57","startHours":22.944466020173834,"endHours":23.944466020173834,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:57","end":"00:57","startHours":23.944466020173834,"endHours":24.944466020173834,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:57","end":"01:57","startHours":24.944466020173834,"endHours":25.944466020173834,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:57","end":"02:57","startHours":25.944466020173834,"endHours":26.944466020173834,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:57","end":"03:57","startHours":26.944466020173834,"endHours":27.944466020173834,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:57","end":"04:57","startHours":27.944466020173834,"endHours":28.944466020173834,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:57","end":"05:57","startHours":28.944466020173834,"endHours":29.944466020173834,"planetary_lord":"Saturn"}],"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","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":6.0857485818809085,"eotMinutes":-3.095151365876405,"ayanamsa":24.5551}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla 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 Śukla Trayodaśī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Maṅgalavāra (Tuesday) — 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 5, 2050 CE · Badarīnāth · Vidhyamitra","description":"April 5, 2050 CE for Badarīnāth: Śukla Trayodaśī, sūryodaya 05:57, sūryāsta 18:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2050-04-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2050-04-05","sa":"https://sa.vidhyamitra.com/city/badrinath/2050-04-05","hi":"https://hi.vidhyamitra.com/city/badrinath/2050-04-05","x-default":"https://vidhyamitra.com/city/badrinath/2050-04-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T23:10:14.487Z","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":"2026-09-11T23:10:14.487Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T23:10:14.487Z","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"}}}