{"id":"vidhyamitra:city-day:ranchi:2045-01-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ranchi/2045-01-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2045-01-18","date_display":"January 18, 2045 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":2045,"month":1,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467998.770833,"kali_year":5146,"ahargana":1879533.2708,"sun":{"sidereal_longitude":273.6606,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":272.8473,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":359.1867,"elapsed_within_tithi_degrees":11.1867},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":272.8473,"elapsed_within_degrees":6.1806},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":186.5079},"karana":{"half_tithi_index":59,"name":"Nāga"},"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":2045,"month":1,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2467998.770833,"ahargana":1879533.2708,"kali_year":5146,"ayanamsa_lahiri":24.4823,"grahas":{"sun":{"sidereal_longitude":273.85485500000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":272.304255,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":-2.9169},"mars":{"sidereal_longitude":296.88065500000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":262.237355,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":289.979155,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"venus":{"sidereal_longitude":258.68635500000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":223.39195500000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":313.2824,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":133.2824,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2045,"month":1,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467998.770833,"kali_year":5146,"ahargana":1879533.2708,"sun":{"sidereal_longitude":273.6606,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":272.8473,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":359.1867,"elapsed_within_tithi_degrees":11.1867},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":272.8473,"elapsed_within_degrees":6.1806},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":186.5079},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.917,"elongation":0.813},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.917,"opposition_distance":179.187}},"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":"06:32","sunsetLocal":"17:26","solarNoonLocal":"11:59","dayLengthHours":10.89309928976205,"dayLengthDisplay":"10 Hours 53 Mins 35 Secs","nightLengthDisplay":"13 Hours 06 Mins 25 Secs","moonriseLocal":"06:28","moonsetLocal":"17:18","rahuKala":{"name":"Rāhu Kāla","start":"11:59","end":"13:21","startHours":11.98518049302816,"endHours":13.346817904248415,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:54","end":"09:16","startHours":7.90026825936739,"endHours":9.261905670587646,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:37","end":"11:59","startHours":10.623543081807902,"endHours":11.98518049302816,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:05","end":"09:27","startHours":9.08035401575828,"endHours":9.443457325417015,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:00","end":"07:17","startHours":6.992509985220553,"endHours":7.282992632947542,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:21","startHours":11.622077183369425,"endHours":12.348283802686895,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:05","end":"05:49","startHours":5.086217609512194,"endHours":5.812424228829665,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:38","end":"06:32","startHours":5.630872574000296,"endHours":6.538630848147134,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:48","end":"14:32","startHours":13.800697041321834,"endHours":14.526903660639304,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:14","end":"17:38","startHours":17.231730137909185,"endHours":17.631730137909184,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:26","end":"17:53","startHours":17.431730137909184,"endHours":17.885609274982603,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:11","end":"18:56","startHours":17.181730137909184,"endHours":18.931730137909184,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:21","startHours":23.622077183369424,"endHours":24.348283802686897,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:32","end":"07:54","startHours":6.538630848147134,"endHours":7.90026825936739,"quality":"auspicious"},{"name":"Amṛta","start":"07:54","end":"09:16","startHours":7.90026825936739,"endHours":9.261905670587646,"quality":"auspicious"},{"name":"Kāla","start":"09:16","end":"10:37","startHours":9.261905670587646,"endHours":10.623543081807902,"quality":"inauspicious"},{"name":"Śubha","start":"10:37","end":"11:59","startHours":10.623543081807902,"endHours":11.98518049302816,"quality":"auspicious"},{"name":"Roga","start":"11:59","end":"13:21","startHours":11.98518049302816,"endHours":13.346817904248415,"quality":"inauspicious"},{"name":"Udveg","start":"13:21","end":"14:43","startHours":13.346817904248415,"endHours":14.708455315468672,"quality":"inauspicious"},{"name":"Chala","start":"14:43","end":"16:04","startHours":14.708455315468672,"endHours":16.070092726688927,"quality":"neutral"},{"name":"Labha","start":"16:04","end":"17:26","startHours":16.070092726688927,"endHours":17.431730137909184,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:26","end":"19:04","startHours":17.431730137909184,"endHours":19.070092726688927,"quality":"inauspicious"},{"name":"Chala","start":"19:04","end":"20:43","startHours":19.070092726688927,"endHours":20.708455315468672,"quality":"neutral"},{"name":"Labha","start":"20:43","end":"22:21","startHours":20.708455315468672,"endHours":22.346817904248415,"quality":"auspicious"},{"name":"Amṛta","start":"22:21","end":"23:59","startHours":22.346817904248415,"endHours":23.98518049302816,"quality":"auspicious"},{"name":"Kāla","start":"23:59","end":"01:37","startHours":23.98518049302816,"endHours":25.623543081807902,"quality":"inauspicious"},{"name":"Śubha","start":"01:37","end":"03:16","startHours":25.623543081807902,"endHours":27.261905670587645,"quality":"auspicious"},{"name":"Roga","start":"03:16","end":"04:54","startHours":27.261905670587645,"endHours":28.90026825936739,"quality":"inauspicious"},{"name":"Udveg","start":"04:54","end":"06:32","startHours":28.90026825936739,"endHours":30.538630848147136,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.538630848147134,"endHours":7.538630848147134,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.538630848147134,"endHours":8.538630848147134,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.538630848147134,"endHours":9.538630848147134,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.538630848147134,"endHours":10.538630848147134,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.538630848147134,"endHours":11.538630848147134,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.538630848147134,"endHours":12.538630848147134,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.538630848147134,"endHours":13.538630848147134,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.538630848147134,"endHours":14.538630848147134,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.538630848147134,"endHours":15.538630848147134,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.538630848147134,"endHours":16.538630848147136,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.538630848147136,"endHours":17.538630848147136,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.538630848147136,"endHours":18.538630848147136,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.538630848147136,"endHours":19.538630848147136,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.538630848147136,"endHours":20.538630848147136,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.538630848147136,"endHours":21.538630848147136,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.538630848147136,"endHours":22.538630848147136,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.538630848147136,"endHours":23.538630848147136,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.538630848147136,"endHours":24.538630848147136,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.538630848147136,"endHours":25.538630848147136,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.538630848147136,"endHours":26.538630848147136,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.538630848147136,"endHours":27.538630848147136,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.538630848147136,"endHours":28.538630848147136,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.538630848147136,"endHours":29.538630848147136,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.538630848147136,"endHours":30.538630848147136,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Saumya","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":-20.491723555304386,"eotMinutes":-10.349229581689698,"ayanamsa":24.4823}},"calendars":{"vikram_samvat":2102,"vikram_samvatsara":"Bahudhānya","saka_samvat":1967,"saka_samvatsara":"Krodhana","bengali_samvat":1452,"malayalam_era":1221,"nanakshahi_year":576,"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":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Amāvasyā · Vikram 2102 Bahudhānya · Śaka 1967 Krodhana"},"festivals":[],"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","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 18, 2045 CE · Ranchi, Jharkhand · Vidhyamitra","description":"January 18, 2045 CE for Ranchi, Jharkhand: Kṛṣṇa Amāvasyā, sūryodaya 06:32, sūryāsta 17:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ranchi/2045-01-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ranchi/2045-01-18","sa":"https://sa.vidhyamitra.com/city/ranchi/2045-01-18","hi":"https://hi.vidhyamitra.com/city/ranchi/2045-01-18","x-default":"https://vidhyamitra.com/city/ranchi/2045-01-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T11:36:59.006Z","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":"2026-06-02T11:36:59.006Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T11:36:59.006Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}