{"id":"vidhyamitra:city-day:ranchi:2199-01-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2199-01-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2199-01-16","date_display":"January 16, 2199 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":2199,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2524243.770833,"kali_year":5300,"ahargana":1935778.2708,"sun":{"sidereal_longitude":268.6823,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":132.4596,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.7773,"elapsed_within_tithi_degrees":7.7773},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":132.4596,"elapsed_within_degrees":12.4596},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":41.142},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2199,"month":1,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2524243.770833,"ahargana":1935778.2708,"kali_year":5300,"ayanamsa_lahiri":26.6335,"grahas":{"sun":{"sidereal_longitude":269.2774830000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":130.73368299999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false,"latitude":-4.4406},"mars":{"sidereal_longitude":260.859383,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":285.047683,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":280.722983,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"venus":{"sidereal_longitude":299.5056830000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":290.31608299999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":213.1516,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":33.1516,"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":"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":2199,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2524243.770833,"kali_year":5300,"ahargana":1935778.2708,"sun":{"sidereal_longitude":268.6823,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":132.4596,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":223.7773,"elapsed_within_tithi_degrees":7.7773},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":132.4596,"elapsed_within_degrees":12.4596},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":41.142},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.441,"elongation":136.223},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.441,"opposition_distance":43.777}},"eclipse_window_40days":[]},"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"ranchi","name":"Ranchi, Jharkhand","lat":23.3441,"lon":85.3096,"tz_offset_hours":5.5,"state":"Jharkhand","country":"IN","tier":"tier-1"},"sunriseLocal":"06:33","sunsetLocal":"17:24","solarNoonLocal":"11:58","dayLengthHours":10.862226274171437,"dayLengthDisplay":"10 Hours 51 Mins 44 Secs","nightLengthDisplay":"13 Hours 08 Mins 16 Secs","moonriseLocal":"20:26","moonsetLocal":"09:02","rahuKala":{"name":"Rāhu Kāla","start":"11:58","end":"13:20","startHours":11.974241692362963,"endHours":13.332019976634392,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:54","end":"09:16","startHours":7.900906839548673,"endHours":9.258685123820102,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:37","end":"11:58","startHours":10.616463408091533,"endHours":11.974241692362963,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:26","startHours":9.077648019250578,"endHours":9.439722228389627,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:17","startHours":6.995721316701053,"endHours":7.285380684012291,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:20","startHours":11.612167483223914,"endHours":12.336315901502008,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:06","end":"05:49","startHours":5.094831718721052,"endHours":5.818980136999147,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:33","startHours":5.637943032429623,"endHours":6.543128555277243,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:47","end":"14:31","startHours":13.7846127380582,"endHours":14.508761156336297,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:12","end":"17:36","startHours":17.20535482944868,"endHours":17.60535482944868,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:24","end":"17:51","startHours":17.40535482944868,"endHours":17.857947590872488,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:09","end":"18:54","startHours":17.15535482944868,"endHours":18.90535482944868,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:20","startHours":23.61216748322391,"endHours":24.336315901502008,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:33","end":"07:54","startHours":6.543128555277243,"endHours":7.900906839548673,"quality":"auspicious"},{"name":"Amṛta","start":"07:54","end":"09:16","startHours":7.900906839548673,"endHours":9.258685123820102,"quality":"auspicious"},{"name":"Kāla","start":"09:16","end":"10:37","startHours":9.258685123820102,"endHours":10.616463408091533,"quality":"inauspicious"},{"name":"Śubha","start":"10:37","end":"11:58","startHours":10.616463408091533,"endHours":11.974241692362963,"quality":"auspicious"},{"name":"Roga","start":"11:58","end":"13:20","startHours":11.974241692362963,"endHours":13.332019976634392,"quality":"inauspicious"},{"name":"Udveg","start":"13:20","end":"14:41","startHours":13.332019976634392,"endHours":14.689798260905821,"quality":"inauspicious"},{"name":"Chala","start":"14:41","end":"16:03","startHours":14.689798260905821,"endHours":16.04757654517725,"quality":"neutral"},{"name":"Labha","start":"16:03","end":"17:24","startHours":16.04757654517725,"endHours":17.40535482944868,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:24","end":"19:03","startHours":17.40535482944868,"endHours":19.04757654517725,"quality":"inauspicious"},{"name":"Chala","start":"19:03","end":"20:41","startHours":19.04757654517725,"endHours":20.68979826090582,"quality":"neutral"},{"name":"Labha","start":"20:41","end":"22:20","startHours":20.68979826090582,"endHours":22.332019976634392,"quality":"auspicious"},{"name":"Amṛta","start":"22:20","end":"23:58","startHours":22.332019976634392,"endHours":23.97424169236296,"quality":"auspicious"},{"name":"Kāla","start":"23:58","end":"01:37","startHours":23.97424169236296,"endHours":25.616463408091533,"quality":"inauspicious"},{"name":"Śubha","start":"01:37","end":"03:16","startHours":25.616463408091533,"endHours":27.2586851238201,"quality":"auspicious"},{"name":"Roga","start":"03:16","end":"04:54","startHours":27.2586851238201,"endHours":28.90090683954867,"quality":"inauspicious"},{"name":"Udveg","start":"04:54","end":"06:33","startHours":28.90090683954867,"endHours":30.543128555277242,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:33","end":"07:33","startHours":6.543128555277243,"endHours":7.543128555277243,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:33","end":"08:33","startHours":7.543128555277243,"endHours":8.543128555277242,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:33","end":"09:33","startHours":8.543128555277242,"endHours":9.543128555277242,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:33","end":"10:33","startHours":9.543128555277242,"endHours":10.543128555277242,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:33","end":"11:33","startHours":10.543128555277242,"endHours":11.543128555277242,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:33","end":"12:33","startHours":11.543128555277242,"endHours":12.543128555277242,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:33","end":"13:33","startHours":12.543128555277242,"endHours":13.543128555277242,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:33","end":"14:33","startHours":13.543128555277242,"endHours":14.543128555277242,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:33","end":"15:33","startHours":14.543128555277242,"endHours":15.543128555277242,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:33","end":"16:33","startHours":15.543128555277242,"endHours":16.543128555277242,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:33","end":"17:33","startHours":16.543128555277242,"endHours":17.543128555277242,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:33","end":"18:33","startHours":17.543128555277242,"endHours":18.543128555277242,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:33","end":"19:33","startHours":18.543128555277242,"endHours":19.543128555277242,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:33","end":"20:33","startHours":19.543128555277242,"endHours":20.543128555277242,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:33","end":"21:33","startHours":20.543128555277242,"endHours":21.543128555277242,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:33","end":"22:33","startHours":21.543128555277242,"endHours":22.543128555277242,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:33","end":"23:33","startHours":22.543128555277242,"endHours":23.543128555277242,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:33","end":"00:33","startHours":23.543128555277242,"endHours":24.543128555277242,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:33","end":"01:33","startHours":24.543128555277242,"endHours":25.543128555277242,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:33","end":"02:33","startHours":25.543128555277242,"endHours":26.543128555277242,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:33","end":"03:33","startHours":26.543128555277242,"endHours":27.543128555277242,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:33","end":"04:33","startHours":27.543128555277242,"endHours":28.543128555277242,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:33","end":"05:33","startHours":28.543128555277242,"endHours":29.543128555277242,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:33","end":"06:33","startHours":29.543128555277242,"endHours":30.543128555277242,"planetary_lord":"Sun"}],"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":"South-West","anandadiYoga":{"name":"Mausala","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":-20.96208122117505,"eotMinutes":-9.692901541777706,"ayanamsa":26.6335}},"calendars":{"vikram_samvat":2256,"vikram_samvatsara":"Paridhāvi","saka_samvat":2121,"saka_samvatsara":"Vikāri","bengali_samvat":1606,"malayalam_era":1375,"nanakshahi_year":730,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Caturthī · Vikram 2256 Paridhāvi · Śaka 2121 Vikāri"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi_eve_of_ingress":"Makara"},"precedence":4},{"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":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"ranchi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 16, 2199 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 16, 2199 CE for Ranchi, Jharkhand: Kṛṣṇa Caturthī, sūryodaya 06:33, sūryāsta 17:24.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2199-01-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2199-01-16","sa":"https://sa.vidhyamitra.com/city/ranchi/2199-01-16","hi":"https://hi.vidhyamitra.com/city/ranchi/2199-01-16","x-default":"https://vidhyamitra.com/city/ranchi/2199-01-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-05T03:25:29.194Z","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":"2026-06-05T03:25:29.194Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-05T03:25:29.194Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}