{"id":"vidhyamitra:city-day:badrinath:2046-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2046-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2046-01-01","date_display":"January 1, 2046 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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2046,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468346.770833,"kali_year":5147,"ahargana":1879881.2708,"sun":{"sidereal_longitude":255.9264,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":180.6581,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":284.7316,"elapsed_within_tithi_degrees":8.7316},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":180.6581,"elapsed_within_degrees":7.3247},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":76.5845},"karana":{"half_tithi_index":47,"name":"Gara"},"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":2046,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468346.770833,"ahargana":1879881.2708,"kali_year":5147,"ayanamsa_lahiri":24.4956,"grahas":{"sun":{"sidereal_longitude":256.271759,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":182.659759,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false,"latitude":-4.1043},"mars":{"sidereal_longitude":170.910659,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":246.732259,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":314.40765899999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":256.400659,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":231.91635900000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":294.8436,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":114.8436,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2046,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468346.770833,"kali_year":5147,"ahargana":1879881.2708,"sun":{"sidereal_longitude":255.9264,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":180.6581,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":284.7316,"elapsed_within_tithi_degrees":8.7316},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":180.6581,"elapsed_within_degrees":7.3247},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":76.5845},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.104,"elongation":75.268},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.104,"opposition_distance":104.732}},"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":"07:10","sunsetLocal":"17:22","solarNoonLocal":"12:16","dayLengthHours":10.19492074314942,"dayLengthDisplay":"10 Hours 11 Mins 42 Secs","nightLengthDisplay":"13 Hours 48 Mins 18 Secs","moonriseLocal":"01:44","moonsetLocal":"12:59","rahuKala":{"name":"Rāhu Kāla","start":"08:26","end":"09:43","startHours":8.439071026708902,"endHours":9.71343611960258,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:59","end":"12:16","startHours":10.987801212496256,"endHours":12.262166305389934,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:32","end":"14:49","startHours":13.536531398283612,"endHours":14.810896491177289,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:33","end":"09:53","startHours":9.543520773883422,"endHours":9.883351465321736,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:52","startHours":7.589494298113117,"endHours":7.861358851263768,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:36","startHours":11.92233561395162,"endHours":12.601996996828248,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:48","end":"06:29","startHours":5.805383168061968,"endHours":6.485044550938596,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:10","startHours":6.3151292052194385,"endHours":7.164705933815224,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:38","startHours":13.961319762581503,"endHours":14.640981145458131,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:10","end":"17:34","startHours":17.159626676964645,"endHours":17.559626676964644,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:22","end":"17:47","startHours":17.359626676964645,"endHours":17.784415041262537,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:07","end":"18:52","startHours":17.109626676964645,"endHours":18.859626676964645,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:36","startHours":23.922335613951617,"endHours":24.601996996828248,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:10","end":"08:26","startHours":7.164705933815224,"endHours":8.439071026708902,"quality":"auspicious"},{"name":"Kāla","start":"08:26","end":"09:43","startHours":8.439071026708902,"endHours":9.71343611960258,"quality":"inauspicious"},{"name":"Śubha","start":"09:43","end":"10:59","startHours":9.71343611960258,"endHours":10.987801212496256,"quality":"auspicious"},{"name":"Roga","start":"10:59","end":"12:16","startHours":10.987801212496256,"endHours":12.262166305389934,"quality":"inauspicious"},{"name":"Udveg","start":"12:16","end":"13:32","startHours":12.262166305389934,"endHours":13.536531398283612,"quality":"inauspicious"},{"name":"Chala","start":"13:32","end":"14:49","startHours":13.536531398283612,"endHours":14.810896491177289,"quality":"neutral"},{"name":"Labha","start":"14:49","end":"16:05","startHours":14.810896491177289,"endHours":16.085261584070967,"quality":"auspicious"},{"name":"Amṛta","start":"16:05","end":"17:22","startHours":16.085261584070967,"endHours":17.359626676964645,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:22","end":"19:05","startHours":17.359626676964645,"endHours":19.085261584070967,"quality":"neutral"},{"name":"Labha","start":"19:05","end":"20:49","startHours":19.085261584070967,"endHours":20.81089649117729,"quality":"auspicious"},{"name":"Amṛta","start":"20:49","end":"22:32","startHours":20.81089649117729,"endHours":22.536531398283614,"quality":"auspicious"},{"name":"Kāla","start":"22:32","end":"00:16","startHours":22.536531398283614,"endHours":24.262166305389933,"quality":"inauspicious"},{"name":"Śubha","start":"00:16","end":"01:59","startHours":24.262166305389933,"endHours":25.987801212496258,"quality":"auspicious"},{"name":"Roga","start":"01:59","end":"03:43","startHours":25.987801212496258,"endHours":27.71343611960258,"quality":"inauspicious"},{"name":"Udveg","start":"03:43","end":"05:26","startHours":27.71343611960258,"endHours":29.439071026708902,"quality":"inauspicious"},{"name":"Chala","start":"05:26","end":"07:10","startHours":29.439071026708902,"endHours":31.164705933815224,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.164705933815224,"endHours":8.164705933815224,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.164705933815224,"endHours":9.164705933815224,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.164705933815224,"endHours":10.164705933815224,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.164705933815224,"endHours":11.164705933815224,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.164705933815224,"endHours":12.164705933815224,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.164705933815224,"endHours":13.164705933815224,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.164705933815224,"endHours":14.164705933815224,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.164705933815224,"endHours":15.164705933815224,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.164705933815224,"endHours":16.164705933815224,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.164705933815224,"endHours":17.164705933815224,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.164705933815224,"endHours":18.164705933815224,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.164705933815224,"endHours":19.164705933815224,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.164705933815224,"endHours":20.164705933815224,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.164705933815224,"endHours":21.164705933815224,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.164705933815224,"endHours":22.164705933815224,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.164705933815224,"endHours":23.164705933815224,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.164705933815224,"endHours":24.164705933815224,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.164705933815224,"endHours":25.164705933815224,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.164705933815224,"endHours":26.164705933815224,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.164705933815224,"endHours":27.164705933815224,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.164705933815224,"endHours":28.164705933815224,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.164705933815224,"endHours":29.164705933815224,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.164705933815224,"endHours":30.164705933815224,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.164705933815224,"endHours":31.164705933815224,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.99992479564889,"eotMinutes":-3.705178323396069,"ayanamsa":24.4956}},"calendars":{"vikram_samvat":2103,"vikram_samvatsara":"Pramāthi","saka_samvat":1968,"saka_samvatsara":"Akṣaya","bengali_samvat":1453,"malayalam_era":1222,"nanakshahi_year":577,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Navamī · Vikram 2103 Pramāthi · Śaka 1968 Akṣaya"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"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 January 1, 2046 CE · Badarīnāth · Vidhyamitra","description":"January 1, 2046 CE for Badarīnāth: Kṛṣṇa Navamī, sūryodaya 07:10, sūryāsta 17:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2046-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2046-01-01","sa":"https://sa.vidhyamitra.com/city/badrinath/2046-01-01","hi":"https://hi.vidhyamitra.com/city/badrinath/2046-01-01","x-default":"https://vidhyamitra.com/city/badrinath/2046-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T03:48:37.862Z","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":"2026-06-01T03:48:37.862Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T03:48:37.862Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}