{"id":"vidhyamitra:city-day:badrinath:2050-04-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2050-04-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-04-18","date_display":"April 18, 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":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469914.770833,"kali_year":5152,"ahargana":1881449.2708,"sun":{"sidereal_longitude":3.6662,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":319.6216,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":315.9553,"elapsed_within_tithi_degrees":3.9553},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":319.6216,"elapsed_within_degrees":12.9549},"yoga":{"number":25,"name":"Brahma","sum_longitude":323.2878},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469914.770833,"ahargana":1881449.2708,"kali_year":5152,"ayanamsa_lahiri":24.5556,"grahas":{"sun":{"sidereal_longitude":3.66255000000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":317.45255,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false,"latitude":4.2828},"mars":{"sidereal_longitude":268.42255,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":3.6016500000000065,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":90.31774999999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"venus":{"sidereal_longitude":29.222350000000006,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":282.88305,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":211.7635,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":31.7635,"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":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469914.770833,"kali_year":5152,"ahargana":1881449.2708,"sun":{"sidereal_longitude":3.6662,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":319.6216,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":315.9553,"elapsed_within_tithi_degrees":3.9553},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":319.6216,"elapsed_within_degrees":12.9549},"yoga":{"number":25,"name":"Brahma","sum_longitude":323.2878},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.283,"elongation":44.045},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.283,"opposition_distance":135.955}},"eclipse_window_40days":[{"offset_days":19,"type":"lunar","occurs":true,"moon_latitude":-0.621,"opposition_distance":0.75}]},"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":"05:41","sunsetLocal":"18:42","solarNoonLocal":"12:12","dayLengthHours":13.004487787946367,"dayLengthDisplay":"13 Hours 00 Mins 16 Secs","nightLengthDisplay":"10 Hours 59 Mins 44 Secs","moonriseLocal":"03:21","moonsetLocal":"14:53","rahuKala":{"name":"Rāhu Kāla","start":"07:19","end":"08:56","startHours":7.315299031255389,"endHours":8.940860004748686,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:34","end":"12:12","startHours":10.56642097824198,"endHours":12.191981951735276,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:49","end":"15:27","startHours":13.817542925228572,"endHours":15.44310389872187,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:43","end":"09:09","startHours":8.724118541616246,"endHours":9.157601467881124,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:14","end":"06:35","startHours":6.231591715593192,"endHours":6.578378056605095,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:38","startHours":11.758499025470396,"endHours":12.625464878000155,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:57","end":"04:49","startHours":3.9558063527025773,"endHours":4.822772205232336,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:36","end":"05:41","startHours":4.606030742099896,"endHours":5.689738057762093,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:14","startHours":14.35939658305967,"endHours":15.226362435589428,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:30","end":"18:54","startHours":18.49422584570846,"endHours":18.89422584570846,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:42","end":"19:14","startHours":18.69422584570846,"endHours":19.236079503539557,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:27","end":"20:12","startHours":18.44422584570846,"endHours":20.19422584570846,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:38","startHours":23.758499025470396,"endHours":24.625464878000155,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:41","end":"07:19","startHours":5.689738057762093,"endHours":7.315299031255389,"quality":"auspicious"},{"name":"Kāla","start":"07:19","end":"08:56","startHours":7.315299031255389,"endHours":8.940860004748686,"quality":"inauspicious"},{"name":"Śubha","start":"08:56","end":"10:34","startHours":8.940860004748686,"endHours":10.56642097824198,"quality":"auspicious"},{"name":"Roga","start":"10:34","end":"12:12","startHours":10.56642097824198,"endHours":12.191981951735276,"quality":"inauspicious"},{"name":"Udveg","start":"12:12","end":"13:49","startHours":12.191981951735276,"endHours":13.817542925228572,"quality":"inauspicious"},{"name":"Chala","start":"13:49","end":"15:27","startHours":13.817542925228572,"endHours":15.44310389872187,"quality":"neutral"},{"name":"Labha","start":"15:27","end":"17:04","startHours":15.44310389872187,"endHours":17.068664872215162,"quality":"auspicious"},{"name":"Amṛta","start":"17:04","end":"18:42","startHours":17.068664872215162,"endHours":18.69422584570846,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:42","end":"20:04","startHours":18.69422584570846,"endHours":20.068664872215162,"quality":"neutral"},{"name":"Labha","start":"20:04","end":"21:27","startHours":20.068664872215162,"endHours":21.443103898721866,"quality":"auspicious"},{"name":"Amṛta","start":"21:27","end":"22:49","startHours":21.443103898721866,"endHours":22.817542925228572,"quality":"auspicious"},{"name":"Kāla","start":"22:49","end":"00:12","startHours":22.817542925228572,"endHours":24.191981951735276,"quality":"inauspicious"},{"name":"Śubha","start":"00:12","end":"01:34","startHours":24.191981951735276,"endHours":25.56642097824198,"quality":"auspicious"},{"name":"Roga","start":"01:34","end":"02:56","startHours":25.56642097824198,"endHours":26.940860004748686,"quality":"inauspicious"},{"name":"Udveg","start":"02:56","end":"04:19","startHours":26.940860004748686,"endHours":28.31529903125539,"quality":"inauspicious"},{"name":"Chala","start":"04:19","end":"05:41","startHours":28.31529903125539,"endHours":29.689738057762092,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.689738057762093,"endHours":6.689738057762093,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.689738057762093,"endHours":7.689738057762093,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.689738057762093,"endHours":8.689738057762092,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.689738057762092,"endHours":9.689738057762092,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.689738057762092,"endHours":10.689738057762092,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.689738057762092,"endHours":11.689738057762092,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.689738057762092,"endHours":12.689738057762092,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.689738057762092,"endHours":13.689738057762092,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.689738057762092,"endHours":14.689738057762092,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.689738057762092,"endHours":15.689738057762092,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.689738057762092,"endHours":16.689738057762092,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.689738057762092,"endHours":17.689738057762092,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.689738057762092,"endHours":18.689738057762092,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.689738057762092,"endHours":19.689738057762092,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.689738057762092,"endHours":20.689738057762092,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.689738057762092,"endHours":21.689738057762092,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.689738057762092,"endHours":22.689738057762092,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.689738057762092,"endHours":23.689738057762092,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.689738057762092,"endHours":24.689738057762092,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.689738057762092,"endHours":25.689738057762092,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.689738057762092,"endHours":26.689738057762092,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.689738057762092,"endHours":27.689738057762092,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.689738057762092,"endHours":28.689738057762092,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.689738057762092,"endHours":29.689738057762092,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":10.839578358906847,"eotMinutes":0.5058828958834352,"ayanamsa":24.5556}},"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 Dvādaśī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Somavāra (Monday) — 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 18, 2050 CE · Badarīnāth · Vidhyamitra","description":"April 18, 2050 CE for Badarīnāth: Kṛṣṇa Dvādaśī, sūryodaya 05:41, sūryāsta 18:42.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2050-04-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2050-04-18","sa":"https://sa.vidhyamitra.com/city/badrinath/2050-04-18","hi":"https://hi.vidhyamitra.com/city/badrinath/2050-04-18","x-default":"https://vidhyamitra.com/city/badrinath/2050-04-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T12:38:44.278Z","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":"2026-09-11T12:38:44.278Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T12:38:44.278Z","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"}}}