{"id":"vidhyamitra:city-day:badrinath:2181-01-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2181-01-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2181-01-18","date_display":"January 18, 2181 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":2181,"month":1,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517671.770833,"kali_year":5282,"ahargana":1929206.2708,"sun":{"sidereal_longitude":271.4116,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":307.1106,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":35.699,"elapsed_within_tithi_degrees":11.699},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":307.1106,"elapsed_within_degrees":0.444},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":218.5223},"karana":{"half_tithi_index":5,"name":"Gara"},"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":2181,"month":1,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2517671.770833,"ahargana":1929206.2708,"kali_year":5282,"ayanamsa_lahiri":26.3821,"grahas":{"sun":{"sidereal_longitude":271.94248200000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":307.789182,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":4.3309},"mars":{"sidereal_longitude":45.69228199999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":248.23768199999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":111.26208199999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":265.11268199999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":77.84218199999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":201.3678,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":21.3678,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2181,"month":1,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517671.770833,"kali_year":5282,"ahargana":1929206.2708,"sun":{"sidereal_longitude":271.4116,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":307.1106,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":35.699,"elapsed_within_tithi_degrees":11.699},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":307.1106,"elapsed_within_degrees":0.444},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":218.5223},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.331,"elongation":35.699},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.331,"opposition_distance":144.301}},"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":"17:35","solarNoonLocal":"12:22","dayLengthHours":10.428566034109695,"dayLengthDisplay":"10 Hours 25 Mins 43 Secs","nightLengthDisplay":"13 Hours 34 Mins 17 Secs","moonriseLocal":"09:07","moonsetLocal":"20:25","rahuKala":{"name":"Rāhu Kāla","start":"13:41","end":"14:59","startHours":13.676471247291872,"endHours":14.980042001555585,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:10","end":"08:28","startHours":7.158617475973314,"endHours":8.462188230237025,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:46","end":"11:04","startHours":9.765758984500737,"endHours":11.069329738764448,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:56","startHours":9.591949550598908,"endHours":9.939568418402565,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:52","startHours":7.593141060727884,"endHours":7.871236154970809,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:43","startHours":12.025281625224505,"endHours":12.720519360831819,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:28","startHours":5.768142004758688,"endHours":6.463379740366001,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:10","startHours":6.289570306464173,"endHours":7.158617475973314,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:48","startHours":14.110994832046444,"endHours":14.806232567653757,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:23","end":"17:47","startHours":17.38718351008301,"endHours":17.787183510083008,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:35","end":"18:01","startHours":17.58718351008301,"endHours":18.02170709483758,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:20","end":"19:05","startHours":17.33718351008301,"endHours":19.08718351008301,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:43","startHours":24.025281625224505,"endHours":24.72051936083182,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:10","end":"08:28","startHours":7.158617475973314,"endHours":8.462188230237025,"quality":"auspicious"},{"name":"Roga","start":"08:28","end":"09:46","startHours":8.462188230237025,"endHours":9.765758984500737,"quality":"inauspicious"},{"name":"Udveg","start":"09:46","end":"11:04","startHours":9.765758984500737,"endHours":11.069329738764448,"quality":"inauspicious"},{"name":"Chala","start":"11:04","end":"12:22","startHours":11.069329738764448,"endHours":12.372900493028162,"quality":"neutral"},{"name":"Labha","start":"12:22","end":"13:41","startHours":12.372900493028162,"endHours":13.676471247291872,"quality":"auspicious"},{"name":"Amṛta","start":"13:41","end":"14:59","startHours":13.676471247291872,"endHours":14.980042001555585,"quality":"auspicious"},{"name":"Kāla","start":"14:59","end":"16:17","startHours":14.980042001555585,"endHours":16.2836127558193,"quality":"inauspicious"},{"name":"Śubha","start":"16:17","end":"17:35","startHours":16.2836127558193,"endHours":17.58718351008301,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:35","end":"19:17","startHours":17.58718351008301,"endHours":19.283612755819295,"quality":"auspicious"},{"name":"Kāla","start":"19:17","end":"20:59","startHours":19.283612755819295,"endHours":20.980042001555585,"quality":"inauspicious"},{"name":"Śubha","start":"20:59","end":"22:41","startHours":20.980042001555585,"endHours":22.67647124729187,"quality":"auspicious"},{"name":"Roga","start":"22:41","end":"00:22","startHours":22.67647124729187,"endHours":24.372900493028162,"quality":"inauspicious"},{"name":"Udveg","start":"00:22","end":"02:04","startHours":24.372900493028162,"endHours":26.06932973876445,"quality":"inauspicious"},{"name":"Chala","start":"02:04","end":"03:46","startHours":26.06932973876445,"endHours":27.765758984500735,"quality":"neutral"},{"name":"Labha","start":"03:46","end":"05:28","startHours":27.765758984500735,"endHours":29.462188230237025,"quality":"auspicious"},{"name":"Amṛta","start":"05:28","end":"07:10","startHours":29.462188230237025,"endHours":31.158617475973315,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.158617475973314,"endHours":8.158617475973314,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.158617475973314,"endHours":9.158617475973314,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.158617475973314,"endHours":10.158617475973314,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.158617475973314,"endHours":11.158617475973314,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.158617475973314,"endHours":12.158617475973314,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.158617475973314,"endHours":13.158617475973314,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.158617475973314,"endHours":14.158617475973314,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.158617475973314,"endHours":15.158617475973314,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.158617475973314,"endHours":16.158617475973315,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.158617475973315,"endHours":17.158617475973315,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.158617475973315,"endHours":18.158617475973315,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.158617475973315,"endHours":19.158617475973315,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.158617475973315,"endHours":20.158617475973315,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.158617475973315,"endHours":21.158617475973315,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.158617475973315,"endHours":22.158617475973315,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.158617475973315,"endHours":23.158617475973315,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.158617475973315,"endHours":24.158617475973315,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.158617475973315,"endHours":25.158617475973315,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.158617475973315,"endHours":26.158617475973315,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.158617475973315,"endHours":27.158617475973315,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.158617475973315,"endHours":28.158617475973315,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.158617475973315,"endHours":29.158617475973315,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.158617475973315,"endHours":30.158617475973315,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.158617475973315,"endHours":31.158617475973315,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.494257026000064,"eotMinutes":-10.349229581689698,"ayanamsa":26.3821}},"calendars":{"vikram_samvat":2238,"vikram_samvatsara":"Jaya","saka_samvat":2103,"saka_samvatsara":"Vṛṣa","bengali_samvat":1588,"malayalam_era":1357,"nanakshahi_year":712,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Tṛtīyā · Vikram 2238 Jaya · Śaka 2103 Vṛṣa"},"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":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 18, 2181 CE · Badarīnāth · Vidhyamitra","description":"January 18, 2181 CE for Badarīnāth: Śukla Tṛtīyā, sūryodaya 07:10, sūryāsta 17:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2181-01-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2181-01-18","sa":"https://sa.vidhyamitra.com/city/badrinath/2181-01-18","hi":"https://hi.vidhyamitra.com/city/badrinath/2181-01-18","x-default":"https://vidhyamitra.com/city/badrinath/2181-01-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T21:22:14.472Z","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":"2026-06-03T21:22:14.472Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T21:22:14.472Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}