{"id":"vidhyamitra:city-day:badrinath:2162-01-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2162-01-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2162-01-05","date_display":"January 5, 2162 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":2162,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510718.770833,"kali_year":5263,"ahargana":1922253.2708,"sun":{"sidereal_longitude":257.9665,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":121.6921,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.7256,"elapsed_within_tithi_degrees":7.7256},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":121.6921,"elapsed_within_degrees":1.6921},"yoga":{"number":2,"name":"Prīti","sum_longitude":19.6586},"karana":{"half_tithi_index":37,"name":"Bālava"},"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":2162,"month":1,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2510718.770833,"ahargana":1922253.2708,"kali_year":5263,"ayanamsa_lahiri":26.1162,"grahas":{"sun":{"sidereal_longitude":258.566637,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":123.39453700000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false,"latitude":-4.4975},"mars":{"sidereal_longitude":346.901737,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":236.81473699999992,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":242.91343699999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"venus":{"sidereal_longitude":266.199837,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":212.77803700000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":209.7712,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":29.7712,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"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":2162,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510718.770833,"kali_year":5263,"ahargana":1922253.2708,"sun":{"sidereal_longitude":257.9665,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":121.6921,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.7256,"elapsed_within_tithi_degrees":7.7256},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":121.6921,"elapsed_within_degrees":1.6921},"yoga":{"number":2,"name":"Prīti","sum_longitude":19.6586},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.497,"elongation":136.274},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.497,"opposition_distance":43.726}},"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":"07:11","sunsetLocal":"17:24","solarNoonLocal":"12:17","dayLengthHours":10.230228230859707,"dayLengthDisplay":"10 Hours 13 Mins 49 Secs","nightLengthDisplay":"13 Hours 46 Mins 11 Secs","moonriseLocal":"20:46","moonsetLocal":"09:48","rahuKala":{"name":"Rāhu Kāla","start":"14:51","end":"16:08","startHours":14.84884990145098,"endHours":16.12762843030844,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:44","end":"11:01","startHours":9.733735786021127,"endHours":11.01251431487859,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:17","end":"13:34","startHours":12.291292843736052,"endHours":13.570071372593517,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:34","end":"09:54","startHours":9.563231982173464,"endHours":9.904239589868787,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.602438237925354,"endHours":7.8752443240816135,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:38","startHours":11.95028523604073,"endHours":12.632300451431375,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:49","end":"06:30","startHours":5.812148297524905,"endHours":6.494163512915552,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:11","startHours":6.323659709067891,"endHours":7.1761787283061995,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:41","startHours":13.996330882212671,"endHours":14.678346097603319,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:12","end":"17:36","startHours":17.206406959165907,"endHours":17.606406959165906,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:24","end":"17:50","startHours":17.406406959165906,"endHours":17.83266646878506,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:09","end":"18:54","startHours":17.156406959165906,"endHours":18.906406959165906,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:38","startHours":23.950285236040727,"endHours":24.632300451431377,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:11","end":"08:27","startHours":7.1761787283061995,"endHours":8.454957257163663,"quality":"inauspicious"},{"name":"Udveg","start":"08:27","end":"09:44","startHours":8.454957257163663,"endHours":9.733735786021127,"quality":"inauspicious"},{"name":"Chala","start":"09:44","end":"11:01","startHours":9.733735786021127,"endHours":11.01251431487859,"quality":"neutral"},{"name":"Labha","start":"11:01","end":"12:17","startHours":11.01251431487859,"endHours":12.291292843736052,"quality":"auspicious"},{"name":"Amṛta","start":"12:17","end":"13:34","startHours":12.291292843736052,"endHours":13.570071372593517,"quality":"auspicious"},{"name":"Kāla","start":"13:34","end":"14:51","startHours":13.570071372593517,"endHours":14.84884990145098,"quality":"inauspicious"},{"name":"Śubha","start":"14:51","end":"16:08","startHours":14.84884990145098,"endHours":16.12762843030844,"quality":"auspicious"},{"name":"Roga","start":"16:08","end":"17:24","startHours":16.12762843030844,"endHours":17.406406959165906,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:24","end":"19:08","startHours":17.406406959165906,"endHours":19.127628430308445,"quality":"inauspicious"},{"name":"Śubha","start":"19:08","end":"20:51","startHours":19.127628430308445,"endHours":20.84884990145098,"quality":"auspicious"},{"name":"Roga","start":"20:51","end":"22:34","startHours":20.84884990145098,"endHours":22.570071372593517,"quality":"inauspicious"},{"name":"Udveg","start":"22:34","end":"00:17","startHours":22.570071372593517,"endHours":24.291292843736052,"quality":"inauspicious"},{"name":"Chala","start":"00:17","end":"02:01","startHours":24.291292843736052,"endHours":26.01251431487859,"quality":"neutral"},{"name":"Labha","start":"02:01","end":"03:44","startHours":26.01251431487859,"endHours":27.73373578602113,"quality":"auspicious"},{"name":"Amṛta","start":"03:44","end":"05:27","startHours":27.73373578602113,"endHours":29.454957257163663,"quality":"auspicious"},{"name":"Kāla","start":"05:27","end":"07:11","startHours":29.454957257163663,"endHours":31.176178728306198,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.1761787283061995,"endHours":8.1761787283062,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.1761787283062,"endHours":9.1761787283062,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.1761787283062,"endHours":10.1761787283062,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.1761787283062,"endHours":11.1761787283062,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.1761787283062,"endHours":12.1761787283062,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.1761787283062,"endHours":13.1761787283062,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.1761787283062,"endHours":14.1761787283062,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.1761787283062,"endHours":15.1761787283062,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.1761787283062,"endHours":16.176178728306198,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.176178728306198,"endHours":17.176178728306198,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.176178728306198,"endHours":18.176178728306198,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.176178728306198,"endHours":19.176178728306198,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.176178728306198,"endHours":20.176178728306198,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.176178728306198,"endHours":21.176178728306198,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.176178728306198,"endHours":22.176178728306198,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.176178728306198,"endHours":23.176178728306198,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.176178728306198,"endHours":24.176178728306198,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.176178728306198,"endHours":25.176178728306198,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.176178728306198,"endHours":26.176178728306198,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.176178728306198,"endHours":27.176178728306198,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.176178728306198,"endHours":28.176178728306198,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.176178728306198,"endHours":29.176178728306198,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.176178728306198,"endHours":30.176178728306198,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.176178728306198,"endHours":31.176178728306198,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","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":"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":-22.627848370572096,"eotMinutes":-5.452770624163118,"ayanamsa":26.1162}},"calendars":{"vikram_samvat":2219,"vikram_samvatsara":"Yuva","saka_samvat":2084,"saka_samvatsara":"Dundubhi","bengali_samvat":1569,"malayalam_era":1338,"nanakshahi_year":693,"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 Caturthī · Vikram 2219 Yuva · Śaka 2084 Dundubhi"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":"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 January 5, 2162 CE · Badarīnāth · Vidhyamitra","description":"January 5, 2162 CE for Badarīnāth: Kṛṣṇa Caturthī, sūryodaya 07:11, sūryāsta 17:24.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2162-01-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2162-01-05","sa":"https://sa.vidhyamitra.com/city/badrinath/2162-01-05","hi":"https://hi.vidhyamitra.com/city/badrinath/2162-01-05","x-default":"https://vidhyamitra.com/city/badrinath/2162-01-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T19:06:30.623Z","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":"2026-06-02T19:06:30.623Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T19:06:30.623Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}