{"id":"vidhyamitra:city-day:ranchi:2198-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2198-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2198-01-01","date_display":"January 1, 2198 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":2198,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2523863.770833,"kali_year":5299,"ahargana":1935398.2708,"sun":{"sidereal_longitude":253.53,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":166.9371,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":273.4071,"elapsed_within_tithi_degrees":9.4071},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":166.9371,"elapsed_within_degrees":6.9371},"yoga":{"number":5,"name":"Śobhana","sum_longitude":60.4671},"karana":{"half_tithi_index":45,"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":2198,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2523863.770833,"ahargana":1935398.2708,"kali_year":5299,"ayanamsa_lahiri":26.6189,"grahas":{"sun":{"sidereal_longitude":254.254102,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":166.06490199999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false,"latitude":-4.1213},"mars":{"sidereal_longitude":81.16160200000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":250.68230199999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":251.34410200000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"venus":{"sidereal_longitude":207.70090200000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":278.33310200000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":233.2858,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":53.2858,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"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":2198,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2523863.770833,"kali_year":5299,"ahargana":1935398.2708,"sun":{"sidereal_longitude":253.53,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":166.9371,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":273.4071,"elapsed_within_tithi_degrees":9.4071},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":166.9371,"elapsed_within_degrees":6.9371},"yoga":{"number":5,"name":"Śobhana","sum_longitude":60.4671},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.121,"elongation":86.593},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.121,"opposition_distance":93.407}},"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":"06:31","sunsetLocal":"17:14","solarNoonLocal":"11:52","dayLengthHours":10.726593039265758,"dayLengthDisplay":"10 Hours 43 Mins 36 Secs","nightLengthDisplay":"13 Hours 16 Mins 24 Secs","moonriseLocal":"00:06","moonsetLocal":"11:54","rahuKala":{"name":"Rāhu Kāla","start":"07:51","end":"09:12","startHours":7.851973915665274,"endHours":9.192798045573493,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:32","end":"11:52","startHours":10.533622175481714,"endHours":11.874446305389935,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:13","end":"14:33","startHours":13.215270435298153,"endHours":14.556094565206372,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:22","startHours":9.014021494919065,"endHours":9.371574596227923,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:57","end":"07:15","startHours":6.958091162393128,"endHours":7.244133643440215,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:31","end":"12:14","startHours":11.516893204081075,"endHours":12.231999406698794,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:48","startHours":5.08093738052162,"endHours":5.796043583139338,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:37","end":"06:31","startHours":5.617267032484908,"endHours":6.511149785757055,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:40","end":"14:23","startHours":13.662211811934228,"endHours":14.377318014551944,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:02","end":"17:26","startHours":17.037742825022814,"endHours":17.437742825022813,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:14","end":"17:41","startHours":17.237742825022814,"endHours":17.684684201658886,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:59","end":"18:44","startHours":16.987742825022814,"endHours":18.737742825022814,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:31","end":"00:14","startHours":23.516893204081075,"endHours":24.231999406698794,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:31","end":"07:51","startHours":6.511149785757055,"endHours":7.851973915665274,"quality":"auspicious"},{"name":"Kāla","start":"07:51","end":"09:12","startHours":7.851973915665274,"endHours":9.192798045573493,"quality":"inauspicious"},{"name":"Śubha","start":"09:12","end":"10:32","startHours":9.192798045573493,"endHours":10.533622175481714,"quality":"auspicious"},{"name":"Roga","start":"10:32","end":"11:52","startHours":10.533622175481714,"endHours":11.874446305389935,"quality":"inauspicious"},{"name":"Udveg","start":"11:52","end":"13:13","startHours":11.874446305389935,"endHours":13.215270435298153,"quality":"inauspicious"},{"name":"Chala","start":"13:13","end":"14:33","startHours":13.215270435298153,"endHours":14.556094565206372,"quality":"neutral"},{"name":"Labha","start":"14:33","end":"15:54","startHours":14.556094565206372,"endHours":15.896918695114593,"quality":"auspicious"},{"name":"Amṛta","start":"15:54","end":"17:14","startHours":15.896918695114593,"endHours":17.237742825022814,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:14","end":"18:54","startHours":17.237742825022814,"endHours":18.896918695114593,"quality":"neutral"},{"name":"Labha","start":"18:54","end":"20:33","startHours":18.896918695114593,"endHours":20.556094565206372,"quality":"auspicious"},{"name":"Amṛta","start":"20:33","end":"22:13","startHours":20.556094565206372,"endHours":22.215270435298155,"quality":"auspicious"},{"name":"Kāla","start":"22:13","end":"23:52","startHours":22.215270435298155,"endHours":23.874446305389935,"quality":"inauspicious"},{"name":"Śubha","start":"23:52","end":"01:32","startHours":23.874446305389935,"endHours":25.533622175481714,"quality":"auspicious"},{"name":"Roga","start":"01:32","end":"03:12","startHours":25.533622175481714,"endHours":27.192798045573497,"quality":"inauspicious"},{"name":"Udveg","start":"03:12","end":"04:51","startHours":27.192798045573497,"endHours":28.851973915665276,"quality":"inauspicious"},{"name":"Chala","start":"04:51","end":"06:31","startHours":28.851973915665276,"endHours":30.511149785757055,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:31","end":"07:31","startHours":6.511149785757055,"endHours":7.511149785757055,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:31","end":"08:31","startHours":7.511149785757055,"endHours":8.511149785757055,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:31","end":"09:31","startHours":8.511149785757055,"endHours":9.511149785757055,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:31","end":"10:31","startHours":9.511149785757055,"endHours":10.511149785757055,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:31","end":"11:31","startHours":10.511149785757055,"endHours":11.511149785757055,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:31","end":"12:31","startHours":11.511149785757055,"endHours":12.511149785757055,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:31","end":"13:31","startHours":12.511149785757055,"endHours":13.511149785757055,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:31","end":"14:31","startHours":13.511149785757055,"endHours":14.511149785757055,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:31","end":"15:31","startHours":14.511149785757055,"endHours":15.511149785757055,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:31","end":"16:31","startHours":15.511149785757055,"endHours":16.511149785757055,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:31","end":"17:31","startHours":16.511149785757055,"endHours":17.511149785757055,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:31","end":"18:31","startHours":17.511149785757055,"endHours":18.511149785757055,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:31","end":"19:31","startHours":18.511149785757055,"endHours":19.511149785757055,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:31","end":"20:31","startHours":19.511149785757055,"endHours":20.511149785757055,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:31","end":"21:31","startHours":20.511149785757055,"endHours":21.511149785757055,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:31","end":"22:31","startHours":21.511149785757055,"endHours":22.511149785757055,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:31","end":"23:31","startHours":22.511149785757055,"endHours":23.511149785757055,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:31","end":"00:31","startHours":23.511149785757055,"endHours":24.511149785757055,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:31","end":"01:31","startHours":24.511149785757055,"endHours":25.511149785757055,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:31","end":"02:31","startHours":25.511149785757055,"endHours":26.511149785757055,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:31","end":"03:31","startHours":26.511149785757055,"endHours":27.511149785757055,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:31","end":"04:31","startHours":27.511149785757055,"endHours":28.511149785757055,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:31","end":"05:31","startHours":28.511149785757055,"endHours":29.511149785757055,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:31","end":"06:31","startHours":29.511149785757055,"endHours":30.511149785757055,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","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":-22.991356015845696,"eotMinutes":-3.705178323396069,"ayanamsa":26.6189}},"calendars":{"vikram_samvat":2255,"vikram_samvatsara":"Virodhakṛt","saka_samvat":2120,"saka_samvatsara":"Vilambī","bengali_samvat":1605,"malayalam_era":1374,"nanakshahi_year":729,"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 Aṣṭamī · Vikram 2255 Virodhakṛt · Śaka 2120 Vilambī"},"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5}]},"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 1, 2198 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 1, 2198 CE for Ranchi, Jharkhand: Kṛṣṇa Aṣṭamī, sūryodaya 06:31, sūryāsta 17:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2198-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2198-01-01","sa":"https://sa.vidhyamitra.com/city/ranchi/2198-01-01","hi":"https://hi.vidhyamitra.com/city/ranchi/2198-01-01","x-default":"https://vidhyamitra.com/city/ranchi/2198-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-05T04:01:25.157Z","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":"2026-06-05T04:01:25.157Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-05T04:01:25.157Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}